diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/-EVj2oBnbOg_postprocess.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/-EVj2oBnbOg_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..51da5256daa020f5699fb7aa39094fe03a0bca2d
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/-EVj2oBnbOg_postprocess.srt
@@ -0,0 +1,1360 @@
+1
+00:00:04,940 --> 00:00:10,620
+السلام عليكم يعطيكم العافية طلابنا العزاى طالباتنا
+
+2
+00:00:10,620 --> 00:00:15,120
+طبعا اليوم نبدأ او نكمل chapter تلاتة chapter
+
+3
+00:00:15,120 --> 00:00:18,460
+جزئية ال free falling ال free falling اللي هو
+
+4
+00:00:18,460 --> 00:00:22,980
+السقوط الحر جاب المبدأ في السقوط الحر بإننا نذكركم
+
+5
+00:00:22,980 --> 00:00:28,100
+بالتلت معادلات اللي أخدناها سابقا اللي هو V بساوي
+
+6
+00:00:28,100 --> 00:00:32,580
+V naught زائد ال A في ال T المعادلة التانية
+
+7
+00:00:57,040 --> 00:01:01,880
+معادلة الحركة هذا الشرط كان الشرط ان ال
+
+8
+00:01:01,880 --> 00:01:07,820
+acceleration تكون مالهاتكون constant ان الجسم
+
+9
+00:01:07,820 --> 00:01:11,520
+متحرك بـ acceleration مالها ثابتة مثال على الـ
+
+10
+00:01:11,520 --> 00:01:16,360
+acceleration الثابتة اللي هي عجلة الجاذبية الأرضية
+
+11
+00:01:16,360 --> 00:01:22,300
+اتجاهها لوين اتجاهها الأسفل وبرموزها بالرمز J إذا
+
+12
+00:01:22,300 --> 00:01:28,900
+في هذا الحالة لما تقدش قيمتها قيمتها 9.8 اتجاهها
+
+13
+00:01:28,900 --> 00:01:34,560
+لوينلأسفل اتجاهها لأسفل عشان هي دايما لما تقول ال
+
+14
+00:01:34,560 --> 00:01:38,640
+acceleration ال acceleration اتجاهها لأسفل بتسوي
+
+15
+00:01:38,640 --> 00:01:45,280
+لل سالب سالب تسعة point تمانية سالب تسعة point
+
+16
+00:01:45,280 --> 00:01:50,360
+تمانية واتجاهها في اتجاه ال G لأسفل اذا في هذا
+
+17
+00:01:50,360 --> 00:01:54,440
+الحالةتسالب تسعة بوين تماني ال acceleration قيمتها
+
+18
+00:01:54,440 --> 00:01:58,600
+بالسالب لذا لما اقول ال acceleration عند قيمتها
+
+19
+00:01:58,600 --> 00:02:01,980
+سالب جي ايش بده اعمل بده اعوض عن ال acceleration
+
+20
+00:02:01,980 --> 00:02:06,320
+بقيمة السالب هتصير عند المعادلات التلاتة معادل رقم
+
+21
+00:02:06,320 --> 00:02:12,860
+واحد هتصير معادلة رقم واحد هي عبارة عن Vfinal
+
+22
+00:02:12,860 --> 00:02:18,480
+بيساوي v initial أو v node minus هذه الإشارة
+
+23
+00:02:18,480 --> 00:02:23,640
+السالبة لإتجاهها الأسفل التانية x minus x node
+
+24
+00:02:23,640 --> 00:02:29,760
+بيساوي v node في T minus mostly T تربيع الأخيرة
+
+25
+00:02:29,760 --> 00:02:35,180
+بيساوي v تربيع بيساوي v node تربيع minus اتنين
+
+26
+00:02:38,390 --> 00:02:42,850
+هذه التلات معادلات الموجودة عندنا نفسي طبجيتها
+
+27
+00:02:42,850 --> 00:02:46,250
+تطلع على التلات معادلات حلقى دايما معروف عندى عجلة
+
+28
+00:02:46,250 --> 00:02:53,800
+الجاذبي العرضي قيمتها 9.8 وحدتها متر بير ثانويةطب
+
+29
+00:02:53,800 --> 00:02:57,000
+الـ free falling المعادلات اللي هم مستخدمه الآن
+
+30
+00:02:57,000 --> 00:03:00,260
+معادلات المستخدمة التالت معادلات اللي موجود عنده
+
+31
+00:03:00,260 --> 00:03:04,000
+طب ماأنساش المعادلة الأخيرة لو أنا قلت بدي average
+
+32
+00:03:04,000 --> 00:03:11,180
+V average لأي تنتيج لأي free falling هتقول V not
+
+33
+00:03:11,180 --> 00:03:15,900
+زائد V final أو V initial زائد V final على اتنين
+
+34
+00:03:15,900 --> 00:03:24,640
+اوبنقول x-x0 بدناش نقول x الآن بدنا نغير كل x ونحط
+
+35
+00:03:24,640 --> 00:03:36,660
+محلها y-y0 او y final على delta t t-t0 كمان ال x
+
+36
+00:03:36,660 --> 00:03:47,120
+هذه بدنا نشيلها ونحط محلها y-y0 وهنا y-y0
+
+37
+00:03:48,650 --> 00:04:04,070
+إذا صاروا التلات معادلات اللي عندى انا
+
+38
+00:04:04,070 --> 00:04:11,610
+بتتكلم
+
+39
+00:04:11,610 --> 00:04:14,610
+عن اتجاهات
+
+40
+00:04:17,080 --> 00:04:23,560
+up هيتموجب و down هيسلب لان اخدنا الاتجاه السالب
+
+41
+00:04:23,560 --> 00:04:29,620
+لأسفل ال up هيكون دايما positive و ال down هيكون
+
+42
+00:04:29,620 --> 00:04:33,900
+دايما negative فال free falling هي عبارة عن linear
+
+43
+00:04:33,900 --> 00:04:43,100
+motion with constant acceleration قيمتها 9.8 متر ع
+
+44
+00:04:43,100 --> 00:04:49,490
+الساكنطيب نرجع نذكر شوية نقول احنا لو في اندي
+
+45
+00:04:49,490 --> 00:04:54,190
+acceleration إذا الجسم بتحرك مع ال acceleration
+
+46
+00:04:54,190 --> 00:04:59,670
+سرعته مالها بتزيد إذا الجسم بتحرك عكس ال
+
+47
+00:04:59,670 --> 00:05:04,730
+acceleration سرعته بتبدأ مالها تزيدتتناقص يعني انا
+
+48
+00:05:04,730 --> 00:05:09,870
+لو رميت جسم الى اعلى الجسم بصعد الى اعلى اتجاه ال
+
+49
+00:05:09,870 --> 00:05:14,890
+acceleration اللي وين لأسفل هيبدأ سرعته تتناقص
+
+50
+00:05:14,890 --> 00:05:20,250
+تدريجيا لما يصل ل maximum height لما يصل لأقصى
+
+51
+00:05:20,250 --> 00:05:25,550
+ارتفاع هتكون سرعته وصلت لقداش ل zero بعد هيك ببدأ
+
+52
+00:05:26,260 --> 00:05:31,220
+سرعته تتغير تدريجيا، ينزل الـ acceleration إلى
+
+53
+00:05:31,220 --> 00:05:36,620
+أسفل بالسالب، والجسم حركته أو اتجاه سرعته بالسالب،
+
+54
+00:05:36,620 --> 00:05:40,280
+تنتن مع بعض، السرعاش بيصير فيها بالزيدي، اتجاهها
+
+55
+00:05:40,280 --> 00:05:43,880
+لوين، لأسفل، هتطلع معايا قيمتها إيه؟ أو هتطلع
+
+56
+00:05:43,880 --> 00:05:48,620
+معايابالسالب إيش معنى الإشارة سالبة اتجاهها لوين
+
+57
+00:05:48,620 --> 00:05:53,440
+لأسفل لأعلى
+
+58
+00:05:53,440 --> 00:06:00,060
+موجب لأسفل سالب كل حاجة لأعلى موجب كل حاجة لأسفل
+
+59
+00:06:00,060 --> 00:06:06,820
+سالب القوانين التلاتة هين كتبناهم هاي هواضحات
+
+60
+00:06:06,820 --> 00:06:11,880
+عندنا الأول المعادلة الأولى التانية التالتة هاي
+
+61
+00:06:11,880 --> 00:06:24,870
+واحدو هاي التانية و هاي التالتة الآن
+
+62
+00:06:24,870 --> 00:06:30,510
+لما نيجي ناخد أمثلة أو حالات معينة و نطبق فيها
+
+63
+00:06:30,510 --> 00:06:36,950
+اللي هي المعادلات اللي أنا قلتها نيجي لأول حاجة لو
+
+64
+00:06:36,950 --> 00:06:45,050
+أنا رميت الجسم إلى أعلىبتحدد دايما من الذكر بتحدد
+
+65
+00:06:45,050 --> 00:06:49,830
+دايما اللي هي ال origin point way او y بالساوية
+
+66
+00:06:49,830 --> 00:06:56,010
+zero جسم رميته من النقطة هذه و سعد الى اعلى الان
+
+67
+00:06:56,010 --> 00:07:01,430
+هذه y بتساوي zero هذه y not بالساوية zero نقطة
+
+68
+00:07:01,430 --> 00:07:05,910
+الانطلاق y not بالساوية zero رميته بسرعة ابتدائية
+
+69
+00:07:05,910 --> 00:07:12,620
+السرعة الابتدائية بيكون عندها V notفي عند Y node
+
+70
+00:07:12,620 --> 00:07:19,120
+قيمتها Zero وفي عند V node اتجاهها الى أعلى لين
+
+71
+00:07:19,120 --> 00:07:23,140
+اذا لما اعوض عن ال V node بدي اقول V node positive
+
+72
+00:07:23,140 --> 00:07:28,420
+لما اجي في المعدلات هذه ها عوض عنها بالقيم موجبة
+
+73
+00:07:28,420 --> 00:07:36,440
+الان هيصعد يصعد لما يصل Y finalالتغير في ال Y
+
+74
+00:07:36,440 --> 00:07:41,640
+الازاحة وين اتجاهها اتجاهها لأعلى خمسة متر إلى
+
+75
+00:07:41,640 --> 00:07:45,680
+أعلى إذا هنا بتكون ال Y positive إذا لما أعوض عن
+
+76
+00:07:45,680 --> 00:07:49,540
+ال Y بتكون H positive إذا أنا حسبت السرعة ال V
+
+77
+00:07:49,540 --> 00:07:54,620
+final ضال الجسم صاعد إلى أعلى هتطلع ال V عند V
+
+78
+00:07:54,620 --> 00:08:01,440
+final بال positive ال acceleration دائما قلنا
+
+79
+00:08:01,440 --> 00:08:07,060
+يشمالها بالسلملذن ال acceleration بالسلب ال
+
+80
+00:08:07,060 --> 00:08:10,840
+velocity final velocity هتطلع في هذه الحالة موجب
+
+81
+00:08:10,840 --> 00:08:15,960
+لأن الجسم الآن صاعد الإزاحة اندي ايش why طيب لو
+
+82
+00:08:15,960 --> 00:08:22,220
+انا قلت حالي رقم اتنينالجسم هيه بدأ من Y0 بالساوي
+
+83
+00:08:22,220 --> 00:08:27,500
+زيرو اله سرعة V0 بالساوي زيرو صعد رمته إلى أعلى
+
+84
+00:08:27,500 --> 00:08:34,260
+وصل لأقصى ارتفاع Y maximum اللي هم بيسميها H
+
+85
+00:08:34,260 --> 00:08:39,480
+maximum اقصى ارتفاع عنده الجسم اقصى ارتفاع ايش بده
+
+86
+00:08:39,480 --> 00:08:43,960
+يصير عنده؟ بده يتوقف لحظيا يعني احنا بيقول السرعة
+
+87
+00:08:43,960 --> 00:08:49,920
+بدأت .. آسف هذه السرعة ..الها قيمة positiveالسرعة
+
+88
+00:08:49,920 --> 00:08:54,480
+الآن عشرة متر per second تبدأ ايش فيها ال
+
+89
+00:08:54,480 --> 00:08:58,580
+acceleration إلى أسفل اتجاهها الجسم بتحرك لأعلى
+
+90
+00:08:58,580 --> 00:09:02,160
+وال acceleration عكسها ايش بيصير في السرعة تبدأ
+
+91
+00:09:02,160 --> 00:09:08,320
+تتناقص تدريجيا تتناقص لما تصل V final جداش قيمتها
+
+92
+00:09:08,320 --> 00:09:15,120
+Zero at maximum height
+
+93
+00:09:15,120 --> 00:09:20,460
+V final equal zeroزي ما فيه final بالساوة زيرو لكن
+
+94
+00:09:20,460 --> 00:09:25,020
+ال y maximum لو انا جيت حسبتها هتطلع positive لأنه
+
+95
+00:09:25,020 --> 00:09:29,780
+زحل وين اتجاهها اتجاهها الأعلى طيب نيجي هد الحالة
+
+96
+00:09:29,780 --> 00:09:36,220
+التانية هد الحالة الأولى الحالة التالتة لو انا قلت
+
+97
+00:09:36,220 --> 00:09:43,200
+رميت الجسم من y not بالساوة زيرو هيبدأ يصعد يصعد و
+
+98
+00:09:43,200 --> 00:09:47,080
+بعدين يصل لأقصر ارتفاع و بعدين يشتري فيه عنده يبدأ
+
+99
+00:09:47,080 --> 00:09:54,910
+ينزللما يبدأ ينزل هاي Y initial و Y note هذه ال Y
+
+100
+00:09:54,910 --> 00:10:01,310
+final ال Y اللي بده يصلها موجبة ولا سالبة؟ هل
+
+101
+00:10:01,310 --> 00:10:07,010
+قيمتها موجب ولا قيمتها سالب؟ الجسم نازل لأسفل، إيش
+
+102
+00:10:07,010 --> 00:10:14,970
+رأيكم؟قيمتها الإزاحة جسم عنده إزاحة بتطلع للإزاحة
+
+103
+00:10:14,970 --> 00:10:18,030
+بتذكركوا في عندي مسافة distance وفي عندي
+
+104
+00:10:18,030 --> 00:10:21,530
+displacement في هذه الحالة ال displacement الإزاحة
+
+105
+00:10:21,530 --> 00:10:26,360
+من وين لوين من هين لهين هذه الإزاحةالإزاحة لأعلى
+
+106
+00:10:26,360 --> 00:10:30,060
+ولا لأسفل، لأعلى، إذن هتكون قدش قيمتها؟ بال
+
+107
+00:10:30,060 --> 00:10:33,900
+positive، موجبة، لأن اتجاه الإزاحة حتى طلع جسم،
+
+108
+00:10:33,900 --> 00:10:39,120
+هأني أنا هنا، هي كانت اتجاه الموجب، روحت عشرة متر،
+
+109
+00:10:39,120 --> 00:10:43,920
+لما روحت عشرة متر، روحت عشرة متر، الآن عشرة متر
+
+110
+00:10:43,920 --> 00:10:47,360
+موجبة، لأن إزاحة موجب، الاتجاه الموجود عند موجب،
+
+111
+00:10:47,360 --> 00:10:52,470
+ارجعت اتنين مترالان قللت الإزاح صارت الإزاح قداش
+
+112
+00:10:52,470 --> 00:10:56,230
+قيمتها بالموجب بس وين اتجاهها هي نقطة الأصل اللي
+
+113
+00:10:56,230 --> 00:11:00,450
+أنا بدأت منها واتجاهها لليمين او لليسار اذا
+
+114
+00:11:00,450 --> 00:11:04,490
+اتجاهها بهذا الشكل اذا بهذا الشكل تمانية متر انزاح
+
+115
+00:11:04,490 --> 00:11:08,450
+الجسم تمانية متر ارجعت كمان شوية صار عندي خمسة متر
+
+116
+00:11:08,450 --> 00:11:13,070
+خمسة متر موجب ارجعت اتنين متر لما اصلت زيرو في
+
+117
+00:11:13,070 --> 00:11:16,950
+الشئزاح كأن الإزاح الآن قيمتها زيرو هدخلناها في
+
+118
+00:11:16,950 --> 00:11:20,440
+أول محاضرة الجسم بيروح وبرجع لنقطة الأصلposition
+
+119
+00:11:20,440 --> 00:11:23,360
+الو position initial بيروح و برجع ال position
+
+120
+00:11:23,360 --> 00:11:26,660
+initial بتكون إزاحته بالسوء zero لو أنا بديت أتحرك
+
+121
+00:11:26,660 --> 00:11:31,320
+في الاتجاه الآخر بصير إزاحتي مالها إزاحة بالسالب
+
+122
+00:11:31,320 --> 00:11:35,420
+لذا هي نفس الاشي الجسم هاي النقطة هاي ال origin
+
+123
+00:11:35,420 --> 00:11:39,720
+اللي موجود عنده هذا ال origin الجسم فوقي إزاحته
+
+124
+00:11:39,720 --> 00:11:46,560
+موجبة تحتي إزاحته إيش سالبة بنفس الكيفية V هنا لما
+
+125
+00:11:46,560 --> 00:11:53,290
+أجي أحسبهاإيش هتطلع قيمتها؟ في هنا اتجاهها لوين
+
+126
+00:11:53,290 --> 00:12:00,570
+الجسم نازل، إذا اتجاه السرعة بتطلع معايا بالسالب
+
+127
+00:12:00,570 --> 00:12:07,390
+طب لو قلت النقطة اللي عاجبالها تماما، في إلها إيش؟
+
+128
+00:12:08,810 --> 00:12:13,110
+والقيمة بالموجب، لماذا بالموجب؟ لأن الجسم ساعد
+
+129
+00:12:13,110 --> 00:12:17,270
+اتجاه السرعه الى أعلى الوين الجسم نازل اتجاه
+
+130
+00:12:17,270 --> 00:12:21,630
+السرعه الى أسفل الوين طيب الإزاح اللي هنا والإزاح
+
+131
+00:12:21,630 --> 00:12:24,990
+اللي هنا على نفس الخط زن واي اللي هنا موجبة و واي
+
+132
+00:12:24,990 --> 00:12:27,470
+اللي هنا موجبة كمان الخمس متر بتكون خمس متر على
+
+133
+00:12:27,470 --> 00:12:33,360
+الشجر التاني و القيمة بالموجبلانزحق بالموجة الان
+
+134
+00:12:33,360 --> 00:12:40,040
+لو انا قلت بدأ ينزل الى اسفل نقطة ال origin ايش
+
+135
+00:12:40,040 --> 00:12:44,900
+هيكون عندك؟ اذا هالجسم بدأ من Y بالساوية Zero
+
+136
+00:12:44,900 --> 00:12:53,520
+اتجاه رميه اله upward اذا V بال positiveموجبة الان
+
+137
+00:12:53,520 --> 00:12:58,740
+ساعد الجسم ساعد ساعد ساعد و بعدين نزل نزل لما يصل
+
+138
+00:12:58,740 --> 00:13:04,620
+لنفس النقطة اللي انطلق منها بيكون ايش Y صارتله
+
+139
+00:13:04,620 --> 00:13:09,800
+بالزيرو لانه بدأ من نفس المنطقة و رجع ال position
+
+140
+00:13:09,800 --> 00:13:13,800
+initial و position final نفس الأشياء الان Y هنا
+
+141
+00:13:13,800 --> 00:13:16,920
+بالساوة زيرو نزل عن ال Y بالساوة زيرو وصل للنقطة
+
+142
+00:13:16,920 --> 00:13:20,320
+هذه ال Y final
+
+143
+00:13:22,660 --> 00:13:27,820
+بتكون قداش ال wifi قيمتها نيجاتيف يعني أنا بعوض في
+
+144
+00:13:27,820 --> 00:13:32,720
+المعادلات بعوض بإشارة مالها سالبة السرعة هنا ال V
+
+145
+00:13:32,720 --> 00:13:36,640
+برضه هتطلع بال نيجاتيف لأنه اتجاه الجسم ماله نازل
+
+146
+00:13:36,640 --> 00:13:40,200
+يعني انا عاب نايل هذا اعتبرت ال Y بالساوة Zero
+
+147
+00:13:40,200 --> 00:13:46,390
+رميت حجر صعد و بعدين ايش صار عنده بدأ ينزللما بدأ
+
+148
+00:13:46,390 --> 00:13:50,210
+ينزل نزل أسفل مستوى البناء اللي أنا واقف عليها
+
+149
+00:13:50,210 --> 00:13:54,750
+بتكون ال V final له في هذه الحالة بالساوية
+
+150
+00:13:54,750 --> 00:14:01,610
+negative بالسالب، اذا V final و Y و الإزاحة عندى
+
+151
+00:14:01,610 --> 00:14:06,330
+بالسالب دائما ماأنساش ال acceleration وين اتجاهها؟
+
+152
+00:14:06,330 --> 00:14:10,190
+gravitational acceleration اتجاهها لوين؟ لأسفل
+
+153
+00:14:12,740 --> 00:14:19,100
+طيب لو جيت اسأل سؤال هنا مين بيقول السرعة هنا جداش
+
+154
+00:14:19,100 --> 00:14:28,140
+قيمتها او تصوروا عن السرعة جداش قيمتها السرعة
+
+155
+00:14:28,140 --> 00:14:34,500
+اللي هنا V0 قولنا بالموجة هنا نفسها V final
+
+156
+00:14:34,500 --> 00:14:39,560
+عاجبالها تماما تكون نفس القيمة ال V0 بس بتكون ايش
+
+157
+00:14:39,560 --> 00:14:41,100
+بالسالم
+
+158
+00:14:42,700 --> 00:14:47,700
+طيب لو أنا أخدت مثال الآن آخر جسم طلع و رجع لنفس
+
+159
+00:14:47,700 --> 00:14:52,020
+النقطة مين بيقول الزمن .. الزمن لما يصل لأقصى
+
+160
+00:14:52,020 --> 00:14:57,600
+ارتفاع و الزمن من أقصى ارتفاع ل Y بالساوية Zero
+
+161
+00:14:57,600 --> 00:15:03,000
+للنقطة اللي انطلق منها، ايش .. هيكونش ماله؟ T اللي
+
+162
+00:15:03,000 --> 00:15:11,740
+هنا T1 و T2هيكون زمنهم نفس الاشي، زمن الصعود و زمن
+
+163
+00:15:11,740 --> 00:15:17,400
+الهبوط لما يرجع لنفس النقطة بتساوي إيش؟ متساويين،
+
+164
+00:15:17,400 --> 00:15:20,580
+يعني زمن الصعود لما نرجع لنفس النقطة اللي انطلق
+
+165
+00:15:20,580 --> 00:15:25,520
+منها، في الزمن في الصعود و زمن الهبوط بيكون متشابه
+
+166
+00:15:26,440 --> 00:15:29,980
+إذا هذه الأمور اللي ممكن تمر عليّ لذلك أنا حطيت
+
+167
+00:15:29,980 --> 00:15:33,080
+الإشارات وعرف وقت إيش بتدعوض في المعادلات اللي
+
+168
+00:15:33,080 --> 00:15:35,640
+موجودة عند التلات هي وقت إيش بتدعوض بإشارة موجبة
+
+169
+00:15:35,640 --> 00:15:39,880
+ووقت إيش بتدعوض بإشارة سالبة لو قلتلكوا احسبوا لل
+
+170
+00:15:39,880 --> 00:15:42,680
+average velocity في أي حال من الحالات هتقولوا لل
+
+171
+00:15:42,680 --> 00:15:45,880
+average velocity إيش بالساوي يا بقول V final زائد
+
+172
+00:15:45,880 --> 00:15:51,020
+V initial على اتنين أو بقول Y final ده منقص Y
+
+173
+00:15:51,020 --> 00:15:55,640
+initialعلى T final ناقص T initial أو الزمن أو ال
+
+174
+00:15:55,640 --> 00:16:00,520
+total timeلو قلت average speed طيب في هذه الحالة
+
+175
+00:16:00,520 --> 00:16:03,600
+مار عليه ال average speed ايش بده اعمل ال average
+
+176
+00:16:03,600 --> 00:16:08,440
+speed ال distance هذه كلها displacement تختلف عن
+
+177
+00:16:08,440 --> 00:16:11,680
+ال distance ال distance هنا و ال distance هنا و ال
+
+178
+00:16:11,680 --> 00:16:15,260
+distance هنا بده اجيبهم كلهم يعني بتجيبلي اقصر
+
+179
+00:16:15,260 --> 00:16:18,740
+ارتفاع و اضربه في اتنين و اضيف مين الازاحة اللي
+
+180
+00:16:18,740 --> 00:16:23,180
+تحت فتصبح عندنا ال total distance على ال total
+
+181
+00:16:23,180 --> 00:16:28,320
+time على ال total time ناخد الآن مثالإذا في أي
+
+182
+00:16:28,320 --> 00:16:35,060
+استفسار ممكن تكتبوه في التعليقات الآن لو أنا بدي
+
+183
+00:16:35,060 --> 00:16:42,160
+أخد مثال مثال هيكون مشابه لامثل الجسم صعد و بعدين
+
+184
+00:16:42,160 --> 00:16:46,560
+إيش ماله رجع لنفس النقطة اللي انطلق منها يعني وصل
+
+185
+00:16:46,560 --> 00:16:50,840
+لأقصى ارتفاع رميته و وصل لأقصى ارتفاع و بعدين إيش
+
+186
+00:16:50,840 --> 00:16:55,100
+ماله رجع لنفس النقطة اللي انطلق منها صعد و بعدين
+
+187
+00:16:55,100 --> 00:17:12,070
+إيش؟النفس النقطة اللى انطلق منها نجى
+
+188
+00:17:12,070 --> 00:17:14,410
+الان نطبق ايش المطلوب عندى
+
+189
+00:17:20,900 --> 00:17:26,200
+بسرعة بتضايق اتجاهها 25 متر per second اتجاه الى
+
+190
+00:17:26,200 --> 00:17:29,880
+وين؟ upward اذا v نوت هنا لما اعوض عنها هتكون
+
+191
+00:17:29,880 --> 00:17:34,920
+positive كمتجه positive واتجاه الى وين؟ upward
+
+192
+00:17:34,920 --> 00:17:43,590
+اللي هو في اتجاه ال y direction الان why notwhy
+
+193
+00:17:43,590 --> 00:17:48,810
+not بيساوي قداش zero بدأ من ال origin من ال origin
+
+194
+00:17:48,810 --> 00:17:56,310
+point الآن مطلوب الأول بدي أحسب maximum الزمن اللي
+
+195
+00:17:56,310 --> 00:18:02,610
+بيستغرقه حتى يصل لمين لأقصر ارتفاع لما يصل لأقصر
+
+196
+00:18:02,610 --> 00:18:07,630
+ارتفاع نرجع الآن هذا أقصر ارتفاع هو H maximum H
+
+197
+00:18:07,630 --> 00:18:14,660
+maximum إيش بيكون عند أقصر ارتفاع فيفاينال بتساوي
+
+198
+00:18:14,660 --> 00:18:24,780
+أكم Zero وكان
+
+199
+00:18:24,780 --> 00:18:29,960
+عند عجلة الجذب الارضي اتجاه الى أسفل أي معادلة
+
+200
+00:18:29,960 --> 00:18:33,840
+فيها تلت أشياء فيها acceleration اللي هو عبارة عن
+
+201
+00:18:33,840 --> 00:18:39,960
+عجلة الجذب الارضيVinitial Vnot و Vfinal واحد اتنين
+
+202
+00:18:39,960 --> 00:18:44,320
+تلاتة و احنا ذاكرين في ال linear motion معادلات و
+
+203
+00:18:44,320 --> 00:18:47,840
+فيها خمس أشياء اذا انا عارف التلاتة منهم بقدر اجيب
+
+204
+00:18:47,840 --> 00:18:52,540
+الحاجين المتبقيات الحاجين المتبقيات اللي هو الزمن
+
+205
+00:18:52,540 --> 00:18:56,860
+و مين و ال H maximum اذا لو قال يحسب الزمن و ال H
+
+206
+00:18:56,860 --> 00:18:59,860
+maximum بتختار المعادلة اللي فيها تلت أشياء نجد
+
+207
+00:18:59,860 --> 00:19:06,190
+المعادلة الأولى في NDV سوى Vnot ناقصاللي هو 9.8 في
+
+208
+00:19:06,190 --> 00:19:17,890
+T V Final ZeroV0 احطانياها plus 25 ناقص 9.8 في T
+
+209
+00:19:17,890 --> 00:19:21,610
+ايش المجهول عندى في هذه المعادلة هي T اذا ال T
+
+210
+00:19:21,610 --> 00:19:26,410
+بقدر احسبها بعد ما نجيلها اذا ال T بيساوي 25 على 9
+
+211
+00:19:26,410 --> 00:19:34,410
+.8 سلم مع سلب بيروح بطلع 2.5 52% second اذا هنا هو
+
+212
+00:19:34,410 --> 00:19:41,080
+اقصى ارتفاع يبدوا يصلوا بعد زمان قدره2.55 طب لو
+
+213
+00:19:41,080 --> 00:19:46,220
+سألت سؤال تاني الزمن اللازم حتى يرجع لأقصى ارتفاع
+
+214
+00:19:46,220 --> 00:19:51,640
+اللي هو المطلوب C قداش متوقعين يكون متوقعين يكون
+
+215
+00:19:51,640 --> 00:19:58,540
+هو نفسه 2.55طب كيف بدأ أحسبه؟ هنحسبه بس نحسب بيه
+
+216
+00:19:58,540 --> 00:20:02,500
+قبل احسب ال maximum height مهد أقصر اتفاق بدي
+
+217
+00:20:02,500 --> 00:20:06,940
+أحسبه معدل التاني فيها إزاحة و معدل التالتة فيها
+
+218
+00:20:06,940 --> 00:20:11,560
+إزاحة يا بستخدم التانية يا بستخدم التالتة اللي هو
+
+219
+00:20:11,560 --> 00:20:19,740
+التانية عبارة عن YY بيساوي V نطفة T minus نص GT
+
+220
+00:20:19,740 --> 00:20:33,540
+تربيع او المعادلة التالتة نفس الطريقة V تربيع هذا
+
+221
+00:20:33,540 --> 00:20:39,160
+اقصر ارتفاع V تربيع و V تربيع قيمته Zero
+
+222
+00:20:41,290 --> 00:20:45,330
+الـ plus لكن ال plus متأثرش كتير لأنه في او plus
+
+223
+00:20:45,330 --> 00:20:50,870
+او minus لأنه تربيع ناقص minus two تسعة point
+
+224
+00:20:50,870 --> 00:20:56,740
+تمانية في ال edge maximumالـ Y هنا هي قيمتها الـ H
+
+225
+00:20:56,740 --> 00:21:00,800
+maximum هذه ليش حطت H maximum لأن أقصى ارتفاع
+
+226
+00:21:00,800 --> 00:21:04,860
+السرعة عند أقصى ارتفاع بيستوى قداش Zero ماعلي إلا
+
+227
+00:21:04,860 --> 00:21:08,520
+أعوض هذه القيمة Zero و بطلع قيمة أقصى ارتفاع بطلع
+
+228
+00:21:08,520 --> 00:21:13,540
+واحد و تلاتين وتسعة من عشران متر الآن لما يرجع
+
+229
+00:21:13,540 --> 00:21:18,080
+لنفس المكان اللي انطلق منه هذا الجسم طلع فوق و عود
+
+230
+00:21:18,080 --> 00:21:24,770
+رجعWhy بتساوي قداش في إزاحة النقطة اللي انطلق منها
+
+231
+00:21:24,770 --> 00:21:28,990
+عادلها إزاحتها بتساوي قداش Zero إذا ممكن أستخدم
+
+232
+00:21:28,990 --> 00:21:32,590
+المعادلة التانية و أطلع قيمة الزمن الزمن اللي
+
+233
+00:21:32,590 --> 00:21:37,510
+بطلعه قيمة ال Total أو طريقة تانيةإن أطلع الزمن في
+
+234
+00:21:37,510 --> 00:21:41,070
+المرحلة التانية و أجمعه للتنين هيطلع نفس الزمن
+
+235
+00:21:41,070 --> 00:21:44,330
+أثبت أنه نفس الزمن بعد ما أثبت نفس الزمن أجمع
+
+236
+00:21:44,330 --> 00:21:48,670
+الأثنين لبعض إذا Y هنا ناخد الزمن T total للمسافر
+
+237
+00:21:48,670 --> 00:21:52,330
+للإزاحة الكلية Y بالساوية Zero لأنه رجع لنفس
+
+238
+00:21:52,330 --> 00:22:02,510
+النقطة V0 في Y في T minus 9.8 في T square لحظة
+
+239
+00:22:02,510 --> 00:22:10,600
+معادلة بجسم على Tبعد ما اجسم على ال T على ال T على
+
+240
+00:22:10,600 --> 00:22:14,580
+ال T بطلع قيمة الزمن بطلع عند الزمن قيمته خمسة
+
+241
+00:22:14,580 --> 00:22:19,300
+point واحد خمسة point واحد هو ضعف فاش اللي طلعناه
+
+242
+00:22:19,300 --> 00:22:24,100
+قبل شوية اللي هو اتنين point خمسة و خمسين لما
+
+243
+00:22:24,100 --> 00:22:27,040
+اجمعلها كمان اتنين point خمسة و خمسين زمن السقوط
+
+244
+00:22:27,040 --> 00:22:31,200
+هيطلع الزمن الكل هو خمسة point واحد لان المطلوب
+
+245
+00:22:31,200 --> 00:22:35,990
+الأخير المطلوب الأخير بدي ال final velocityلما
+
+246
+00:22:35,990 --> 00:22:39,430
+يرجع لمين لنفس النقطة اللى انطلق منها ماحنا جولنا
+
+247
+00:22:39,430 --> 00:22:42,870
+وعارفين انه حتى تكون مالها قيمتها نفس القيمة
+
+248
+00:22:42,870 --> 00:22:46,230
+استخدم اي معادلة بديها المعادلة الأخيرة او
+
+249
+00:22:46,230 --> 00:22:49,470
+المعادلة الأولى او اي معادلة واطلع قيمتها اش اللى
+
+250
+00:22:49,470 --> 00:22:54,210
+هيفرق بس عنده انه لما اجي احسب هيطلع قيمتها ايش
+
+251
+00:22:54,210 --> 00:22:57,910
+بالسالب لانه استخدمت المعادلة الأولى زي ما صار
+
+252
+00:22:57,910 --> 00:23:05,470
+معروف عنده9.8 V not 25 V final انا بدي اياها V
+
+253
+00:23:05,470 --> 00:23:09,630
+final بيساوي 25-9.8 في الزمن اللي انا طلعته بيطلع
+
+254
+00:23:09,630 --> 00:23:14,450
+سالب 25 لو استخدمت المعادلة التالتة V تربيع بيساوي
+
+255
+00:23:14,450 --> 00:23:17,830
+V not بيطلع عندى اجابتين ل V لان هذا تربيع لما
+
+256
+00:23:17,830 --> 00:23:21,670
+اجيب الجدر الجدر بيطلع V يا اما positive يا اما
+
+257
+00:23:21,670 --> 00:23:24,630
+negative طبعا انا هاخد الاشارة مالها ال negative
+
+258
+00:23:24,630 --> 00:23:28,110
+ليش الاشارة negative لانه اتجاهه لوين اتجاهها
+
+259
+00:23:28,110 --> 00:23:35,350
+لأسفلنخدنا كمان مثال مثال تاني بيقول أنا في عنده
+
+260
+00:23:35,350 --> 00:23:40,270
+في
+
+261
+00:23:40,270 --> 00:23:47,270
+عند الجسم رميته من بناية من roof of buildingرميته
+
+262
+00:23:47,270 --> 00:23:52,790
+إلى أعلى الـ upward اتجاه رمي الجسم كان او رمي
+
+263
+00:23:52,790 --> 00:23:57,450
+الجسم عنده اتجاهه إلى أعلى رميته إلى أعلى ما زال
+
+264
+00:23:57,450 --> 00:24:02,950
+رميته إلى أعلى هدف V naught بتساوي plus هنا Y
+
+265
+00:24:02,950 --> 00:24:08,130
+بتساوي Zero Y naughtالان هيطلع الجسم و بعد فترة
+
+266
+00:24:08,130 --> 00:24:15,350
+يرجع ينزل لما
+
+267
+00:24:15,350 --> 00:24:20,470
+يصل لأقصى ارتفاع في واي ماانساش بتساوي ايش؟ Zero
+
+268
+00:24:20,470 --> 00:24:27,060
+وكمان عند اقصى ارتفاع ال H بالساويةH maximum اقصر
+
+269
+00:24:27,060 --> 00:24:31,620
+ارتفاع بلس نكتب VY لانه اتجاه واحد نكتبها V بعد
+
+270
+00:24:31,620 --> 00:24:35,560
+هيك لما يصير عندى اتجاهين هقدر احدد هقول VY و VX
+
+271
+00:24:35,560 --> 00:24:39,240
+اتجاه ال X و اتجاه ال Y بس انا عندى اتجاه واحد و
+
+272
+00:24:39,240 --> 00:24:43,460
+احنا عارفين انه في اتجاه ال Y الان المطلوب ان
+
+273
+00:24:43,460 --> 00:24:50,080
+البناية كانت ارتفاعها خمسين متر ارتفاعها الكرة
+
+274
+00:24:50,080 --> 00:24:55,510
+اللى عندىوصلت .. طلعت و بعدين وصلت لل roof و بعدين
+
+275
+00:24:55,510 --> 00:25:03,490
+نزلت لوين؟ للأرض لل ground بدي أحسب ال time لما
+
+276
+00:25:03,490 --> 00:25:08,330
+ترجع لمين لنفس ال level لل roof يعني تروح و ترجع
+
+277
+00:25:08,330 --> 00:25:13,220
+للمنطقة هذهبدي احسب الزمن لما اقول بدها ترجع لنفس
+
+278
+00:25:13,220 --> 00:25:18,420
+المنطقة اللي انطلق منها الإذاحة جداش قيمتها Zero
+
+279
+00:25:18,420 --> 00:25:21,280
+فاش إذاحة و رجعت لنا نفس النقطة اللي انطلقت منها
+
+280
+00:25:21,280 --> 00:25:25,340
+بدي استخدم أي معادلة Y الإذاحة انت قيمتها بيساوي
+
+281
+00:25:25,340 --> 00:25:30,070
+Zero Y بيساوي V not في T minusنص تسعة بوين تمانية
+
+282
+00:25:30,070 --> 00:25:37,410
+في T2 الان ال Y0 ال V0 قيمتها اعطانيها عشرين
+
+283
+00:25:37,410 --> 00:25:41,650
+وقيمتها بالموجة بمانساز في T minus نص تسعة بوين
+
+284
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+تمانية T2 بقدر الان اجسم على T الطرفين على T و بعد
+
+285
+00:25:49,250 --> 00:25:53,070
+ما اجسم على T بطلق قيمة الزمن اذا قيمة الزمن انا
+
+286
+00:25:53,070 --> 00:26:00,350
+قدرت احسبه رقم اتنين velocity and positionعندي
+
+287
+00:26:00,350 --> 00:26:05,150
+بساوي خمس ساكن عند خمس ساكن طب نيجي نطلع عند خمس
+
+288
+00:26:05,150 --> 00:26:10,370
+ساكن جدش طلع عندي لما رجعت لما طلعت و رجعت طلع
+
+289
+00:26:10,370 --> 00:26:15,830
+الزمن أربعة point zero تمانية الآن خمس ساكن بتقضي
+
+290
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+اللي ماشي خمس ساكن متوقع تكون هناإذا متوقع لو طلب
+
+291
+00:26:21,180 --> 00:26:25,640
+أي حاجة عند خمس ساكنة ال position إيش هيطلع معايا
+
+292
+00:26:25,640 --> 00:26:30,180
+حتى تتأكد من الإجابة لازم تطلع ال Y بالسالم طيب ال
+
+293
+00:26:30,180 --> 00:26:35,200
+V لازم تطلع بالسالم لأن ال V هنا اتجاه الوين لأسفل
+
+294
+00:26:35,200 --> 00:26:39,160
+الإزاحة الوين كانت إلى أسفل إذا التنتين لازم
+
+295
+00:26:39,160 --> 00:26:42,980
+يطلعوا معايا بالسالم إذا لما أجي أحسب ال Y ال
+
+296
+00:26:42,980 --> 00:26:47,370
+position اللي طلبهالـ position و بعدين طلب السرعة
+
+297
+00:26:47,370 --> 00:26:52,250
+لازم التنين يطلعوا معايا بالسلب إذا لما نجي نحسبهم
+
+298
+00:26:52,250 --> 00:26:55,370
+يعني المعادلة الأولى هو اللي يكون V بيساوي V
+
+299
+00:26:55,370 --> 00:27:01,170
+naught المعادلة النقش في T بيساوي what تساوي عشرين
+
+300
+00:27:01,170 --> 00:27:07,470
+هذا في الشاشةعشرين هنا عنده ماينس اسعة بوين تمانية
+
+301
+00:27:07,470 --> 00:27:12,430
+في خمسة بتطلع سالب سالب هذه ايش معناتها انه
+
+302
+00:27:12,430 --> 00:27:16,290
+ازاحتها لوين الى أسفل ال building هاي ال building
+
+303
+00:27:16,290 --> 00:27:23,290
+موجود عنده هنا الازاحة كانت وين أسفل نقطة الانطلاق
+
+304
+00:27:23,290 --> 00:27:25,910
+أسفل ال roof اللي موجود عنده اللي انطلق منه الجسم
+
+305
+00:27:26,480 --> 00:27:30,160
+الـ position المعادلة التانية او المعادلة التالتة
+
+306
+00:27:30,160 --> 00:27:33,720
+بقدر احدد انها ال position هاي المعادلة التانية هو
+
+307
+00:27:33,720 --> 00:27:36,940
+طلع قيمته و طعق قيمته كمان بالسالب معناه السالب ان
+
+308
+00:27:36,940 --> 00:27:40,020
+هو اش أسفل نقطة الانطلاق و انا كنت متوقع من
+
+309
+00:27:40,020 --> 00:27:45,780
+البداية لذلك لو طلعت شرط الموجة بيكون عندى خطأ رقم
+
+310
+00:27:45,780 --> 00:27:51,720
+C ايش طلب في الـ C او اخر حاجة عندى طلب السرعة لما
+
+311
+00:27:51,720 --> 00:27:59,590
+تصل للأرض لما تصل هنا للأرضالـ V Final قداش
+
+312
+00:27:59,590 --> 00:28:02,750
+قيمتها؟ إيش متوقعين أول حاجة؟ الـ V Final وين
+
+313
+00:28:02,750 --> 00:28:06,670
+تجاهها؟ إلى أسفل إذا متوقعين تطلع معاه إشارتها
+
+314
+00:28:06,670 --> 00:28:13,410
+إيش؟ إشارتها V Final تطلع إشارتها بالسالمطب نجي
+
+315
+00:28:13,410 --> 00:28:16,530
+نحسبها من أي معادلة بقدر أحسبها من معادلة أخرى لكن
+
+316
+00:28:16,530 --> 00:28:19,690
+لما أعوض عنها بأعوض بشوف ال .. إيش بتطلع عنده
+
+317
+00:28:19,690 --> 00:28:22,630
+موجهب ولا سالب و أختار الإشارة مالها السالب لأنه
+
+318
+00:28:22,630 --> 00:28:26,230
+عارف اتجاهها لوين لأسفل لأنه فيه تربيع يساوي فيه
+
+319
+00:28:26,230 --> 00:28:29,270
+أنه التربيع ناقص انه يجي في ال Y فيه تربيع بدي
+
+320
+00:28:29,270 --> 00:28:35,570
+إياها السرعة ال 23 تربيع minus 2 في 9.8 في سالب
+
+321
+00:28:36,790 --> 00:28:41,350
+لاحظوا ايش عوضت عن الإزاحة الإزاحة اللي هنا
+
+322
+00:28:41,350 --> 00:28:45,990
+اتجاهها لوين هذه نقطة اتجاهها الأسفل سالب جداش ال
+
+323
+00:28:45,990 --> 00:28:50,950
+y هنا سالب خمسين ليش لأنها أسفل نقطة الانطلاق إذا
+
+324
+00:28:50,950 --> 00:28:54,870
+سالب خمسين عوضت عنها و طلعت القيمة باخد الجدر
+
+325
+00:28:54,870 --> 00:28:58,430
+الجدر هتطلع هنا قيمة موجة بقى هاخد الجدر هيطلع
+
+326
+00:28:58,430 --> 00:29:01,910
+الإيجابة موجة و سالب هختار الإشارة مالها الإشارة
+
+327
+00:29:01,910 --> 00:29:05,950
+السالب لأنه لاعرف اتجاهها لوينالى أسفل أما الإجابة
+
+328
+00:29:05,950 --> 00:29:12,870
+الموجبة للحل طبعا rejected مرفوضة مرفوضة لأنه
+
+329
+00:29:12,870 --> 00:29:17,810
+اتجاه السرعة إلى أسفل يعطيكوا العافية ونحضر
+
+330
+00:29:17,810 --> 00:29:20,750
+الجامعه نحاول نعملنا شوية أسئلة discussion للشبط
+
+331
+00:29:20,750 --> 00:29:25,550
+الأول والتانيوننزله للشبتر الأول ال discussion
+
+332
+00:29:25,550 --> 00:29:28,330
+للشبتر الأول و discussion للشبتر التاني و الآن
+
+333
+00:29:28,330 --> 00:29:31,330
+نبدأ .. هنبدأ بعد ذلك في الشبتر الرقم التالد
+
+334
+00:29:31,330 --> 00:29:36,190
+الشبتر الرقم تلاتة بتكلم عن .. عن الحركة في مستوى
+
+335
+00:29:36,190 --> 00:29:42,190
+يعني بدل ما اتكلم x اتجاه الحركة في oneDimension
+
+336
+00:29:42,190 --> 00:29:46,630
+لأ لان هكون في X و في Y و أبدأ أحسب اللي هو VX
+
+337
+00:29:46,630 --> 00:29:50,510
+لحاله و VY لحاله و كذا لك ال acceleration في اتجاه
+
+338
+00:29:50,510 --> 00:29:52,790
+ال X و ال acceleration في اتجاه ال Y و الأمثل
+
+339
+00:29:52,790 --> 00:29:57,310
+عليها هتكون ال projectile motion الحركة المقدفة
+
+340
+00:29:57,310 --> 00:30:01,850
+يعطيكوا العافية و ربنا يوفقكم في هذه المادة
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/-EVj2oBnbOg_raw.json b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/-EVj2oBnbOg_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..7ca1114dd0c5a8ad70e91ad801619f939110f1d0
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/-EVj2oBnbOg_raw.json
@@ -0,0 +1 @@
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"هيكون زمنهم نفس الاشي، زمن الصعود و زمن الهبوط لما يرجع لنفس النقطة بتساوي إيش؟ متساويين، يعني زمن الصعود لما نرجع لنفس النقطة اللي انطلق منها، في الزمن في الصعود و زمن الهبوط بيكون متشابه", "tokens": [3224, 1829, 30544, 30767, 27842, 16095, 8717, 36178, 2423, 33599, 1829, 12399, 30767, 27842, 31767, 3615, 23328, 4032, 30767, 27842, 2423, 3224, 3555, 2407, 9566, 5296, 15042, 7251, 47341, 3615, 5296, 1863, 36178, 28239, 47432, 3660, 39894, 3794, 995, 45865, 11933, 1829, 8592, 22807, 44650, 3794, 995, 45865, 9957, 12399, 37495, 22653, 30767, 27842, 31767, 3615, 23328, 5296, 15042, 8717, 47341, 3615, 5296, 1863, 36178, 28239, 47432, 3660, 13672, 1829, 16472, 9566, 1211, 4587, 9154, 11296, 12399, 8978, 6024, 110, 27842, 8978, 31767, 3615, 23328, 4032, 30767, 27842, 2423, 3224, 3555, 2407, 9566, 4724, 1829, 30544, 44650, 8592, 16758, 3224], "avg_logprob": -0.151144809061938, "compression_ratio": 2.150943396226415, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 906.3, "end": 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"probability": 0.9591471354166666}, {"start": 914.02, "end": 914.5, "word": " بتساوي", "probability": 0.732513427734375}, {"start": 914.5, "end": 915.68, "word": " إيش؟", "probability": 0.74627685546875}, {"start": 915.68, "end": 917.4, "word": " متساويين،", "probability": 0.9033203125}, {"start": 917.4, "end": 917.6, "word": " يعني", "probability": 0.8740234375}, {"start": 917.6, "end": 917.82, "word": " زمن", "probability": 0.989990234375}, {"start": 917.82, "end": 918.38, "word": " الصعود", "probability": 0.9791666666666666}, {"start": 918.38, "end": 918.72, "word": " لما", "probability": 0.62451171875}, {"start": 918.72, "end": 919.28, "word": " نرجع", "probability": 0.9239908854166666}, {"start": 919.28, "end": 919.74, "word": " لنفس", "probability": 0.9632161458333334}, {"start": 919.74, "end": 920.12, "word": " النقطة", "probability": 0.9851888020833334}, {"start": 920.12, "end": 920.24, "word": " اللي", "probability": 0.93603515625}, {"start": 920.24, "end": 920.58, "word": " 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وعرف وقت إيش بتدعوض في المعادلات اللي موجودة عند التلات هي وقت إيش بتدعوض بإشارة موجبة ووقت إيش بتدعوض بإشارة سالبة لو قلتلكوا احسبوا لل average velocity في أي حال من الحالات هتقولوا لل average velocity إيش بالساوي يا بقول V final زائد V initial على اتنين أو بقول Y final ده منقص Y initial", "tokens": [28814, 15730, 29538, 16247, 2304, 13063, 13672, 1829, 3714, 43020, 6055, 29973, 25894, 11703, 5296, 8848, 23275, 41850, 11331, 9566, 36081, 33688, 8592, 9640, 9307, 4032, 3615, 28480, 4032, 38149, 11933, 1829, 8592, 39894, 3215, 3615, 2407, 11242, 8978, 9673, 3615, 18513, 1211, 9307, 13672, 1829, 3714, 29245, 23328, 3660, 43242, 16712, 1211, 9307, 39896, 4032, 38149, 11933, 1829, 8592, 39894, 3215, 3615, 2407, 11242, 4724, 28814, 8592, 9640, 3660, 3714, 29245, 49401, 4032, 30543, 2655, 11933, 1829, 8592, 39894, 3215, 3615, 2407, 11242, 4724, 28814, 8592, 9640, 3660, 8608, 6027, 49401, 45164, 12174, 1211, 2655, 23275, 14407, 1975, 5016, 35457, 14407, 24976, 4274, 9269, 8978, 36632, 11331, 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سالبة", "probability": 0.9552408854166666}, {"start": 938.3, "end": 938.84, "word": " لو", "probability": 0.90283203125}, {"start": 938.84, "end": 939.34, "word": " قلتلكوا", "probability": 0.9576171875}, {"start": 939.34, "end": 939.74, "word": " احسبوا", "probability": 0.79296875}, {"start": 939.74, "end": 939.88, "word": " لل", "probability": 0.791015625}, {"start": 939.88, "end": 940.24, "word": " average", "probability": 0.6845703125}, {"start": 940.24, "end": 940.7, "word": " velocity", "probability": 0.853515625}, {"start": 940.7, "end": 940.92, "word": " في", "probability": 0.88330078125}, {"start": 940.92, "end": 941.16, "word": " أي", "probability": 0.88525390625}, {"start": 941.16, "end": 941.48, "word": " حال", "probability": 0.99609375}, {"start": 941.48, "end": 941.66, "word": " من", "probability": 0.74853515625}, {"start": 941.66, "end": 942.14, "word": " الحالات", "probability": 0.9161783854166666}, {"start": 942.14, "end": 942.56, "word": " هتقولوا", "probability": 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34051, 6024, 110, 27842, 34051, 2423, 3217, 565], "avg_logprob": -0.31805098056793213, "compression_ratio": 1.044776119402985, "no_speech_prob": 0.0, "words": [{"start": 952.44, "end": 952.94, "word": "على", "probability": 0.750732421875}, {"start": 952.94, "end": 953.06, "word": " T", "probability": 0.23095703125}, {"start": 953.06, "end": 953.5, "word": " final", "probability": 0.286865234375}, {"start": 953.5, "end": 954.08, "word": " ناقص", "probability": 0.92724609375}, {"start": 954.08, "end": 954.2, "word": " T", "probability": 0.4755859375}, {"start": 954.2, "end": 954.58, "word": " initial", "probability": 0.97265625}, {"start": 954.58, "end": 954.9, "word": " أو", "probability": 0.6796875}, {"start": 954.9, "end": 955.38, "word": " الزمن", "probability": 0.8885091145833334}, {"start": 955.38, "end": 955.56, "word": " أو", "probability": 0.767578125}, {"start": 955.56, "end": 955.64, "word": " ال", "probability": 0.826171875}, {"start": 955.64, "end": 955.9, "word": " total", 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"probability": 0.96728515625}, {"start": 1769.75, "end": 1770.01, "word": " ذلك", "probability": 0.9658203125}, {"start": 1770.01, "end": 1770.17, "word": " في", "probability": 0.83056640625}, {"start": 1770.17, "end": 1770.53, "word": " الشبتر", "probability": 0.9588623046875}, {"start": 1770.53, "end": 1770.83, "word": " الرقم", "probability": 0.95166015625}, {"start": 1770.83, "end": 1771.33, "word": " التالد", "probability": 0.8629557291666666}, {"start": 1771.33, "end": 1771.97, "word": " الشبتر", "probability": 0.848388671875}, {"start": 1771.97, "end": 1772.23, "word": " الرقم", "probability": 0.92236328125}, {"start": 1772.23, "end": 1772.69, "word": " تلاتة", "probability": 0.93603515625}, {"start": 1772.69, "end": 1773.23, "word": " بتكلم", "probability": 0.8046875}, {"start": 1773.23, "end": 1773.47, "word": " عن", "probability": 0.82958984375}, {"start": 1773.47, "end": 1773.93, "word": " ..", "probability": 0.453369140625}, {"start": 1773.93, "end": 1774.23, "word": " عن", 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"probability": 0.876953125}], "temperature": 1.0}, {"id": 76, "seek": 180185, "start": 1781.55, "end": 1801.85, "text": "Dimension لأ لان هكون في X و في Y و أبدأ أحسب اللي هو VX لحاله و VY لحاله و كذا لك ال acceleration في اتجاه ال X و ال acceleration في اتجاه ال Y و الأمثل عليها هتكون ال projectile motion الحركة المقدفة يعطيكوا العافية و ربنا يوفقكم في هذه المادة", "tokens": [35, 332, 3378, 5296, 10721, 5296, 7649, 8032, 30544, 8978, 1783, 4032, 8978, 398, 4032, 5551, 44510, 10721, 5551, 5016, 35457, 13672, 1829, 31439, 691, 55, 5296, 5016, 6027, 3224, 4032, 691, 56, 5296, 5016, 6027, 3224, 4032, 9122, 15730, 5296, 4117, 2423, 17162, 8978, 1975, 2655, 7435, 40294, 2423, 1783, 4032, 2423, 17162, 8978, 1975, 2655, 7435, 40294, 2423, 398, 4032, 16247, 2304, 12984, 1211, 25894, 11296, 8032, 2655, 30544, 2423, 1716, 794, 5394, 21542, 31747, 3660, 9673, 28543, 5172, 3660, 37495, 9566, 1829, 4117, 14407, 18863, 31845, 10632, 4032, 12602, 3555, 8315, 7251, 38688, 4587, 24793, 8978, 29538, 9673, 18513, 3660], "avg_logprob": -0.22385817637237218, "compression_ratio": 1.7442922374429224, "no_speech_prob": 6.556510925292969e-06, "words": [{"start": 1781.55, "end": 1782.19, "word": "Dimension", "probability": 0.6285400390625}, {"start": 1782.19, "end": 1782.51, "word": " لأ", "probability": 0.724853515625}, {"start": 1782.51, "end": 1782.93, "word": " لان", "probability": 0.4971923828125}, {"start": 1782.93, "end": 1783.23, "word": " هكون", "probability": 0.404052734375}, {"start": 1783.23, "end": 1783.37, "word": " في", "probability": 0.93994140625}, {"start": 1783.37, "end": 1783.65, "word": " X", "probability": 0.70849609375}, {"start": 1783.65, "end": 1783.81, "word": " و", "probability": 0.98779296875}, {"start": 1783.81, "end": 1783.95, "word": " في", "probability": 0.72607421875}, {"start": 1783.95, "end": 1784.25, "word": " Y", "probability": 0.984375}, {"start": 1784.25, "end": 1784.93, "word": " و", "probability": 0.81640625}, {"start": 1784.93, "end": 1785.11, "word": " أبدأ", "probability": 0.6271769205729166}, {"start": 1785.11, "end": 1785.57, "word": " أحسب", "probability": 0.9332682291666666}, {"start": 1785.57, "end": 1785.97, "word": " اللي", "probability": 0.783935546875}, {"start": 1785.97, "end": 1786.19, "word": " هو", "probability": 0.94091796875}, {"start": 1786.19, "end": 1786.63, "word": " VX", "probability": 0.683837890625}, {"start": 1786.63, "end": 1787.13, "word": " لحاله", "probability": 0.970458984375}, {"start": 1787.13, "end": 1787.39, "word": " و", "probability": 0.865234375}, {"start": 1787.39, "end": 1787.73, "word": " VY", "probability": 0.921142578125}, {"start": 1787.73, "end": 1788.31, "word": " لحاله", "probability": 0.9949951171875}, {"start": 1788.31, "end": 1789.15, "word": " و", "probability": 0.91650390625}, {"start": 1789.15, "end": 1789.37, "word": " كذا", "probability": 0.7470703125}, {"start": 1789.37, "end": 1789.57, "word": " لك", "probability": 0.64111328125}, {"start": 1789.57, "end": 1789.65, "word": " ال", "probability": 0.79541015625}, {"start": 1789.65, "end": 1790.13, "word": " acceleration", "probability": 0.75341796875}, {"start": 1790.13, "end": 1790.33, "word": " في", "probability": 0.441162109375}, {"start": 1790.33, "end": 1790.51, "word": " اتجاه", "probability": 0.84014892578125}, {"start": 1790.51, "end": 1790.61, "word": " ال", "probability": 0.68603515625}, {"start": 1790.61, "end": 1790.75, "word": " X", "probability": 0.97802734375}, {"start": 1790.75, "end": 1790.87, "word": " و", "probability": 0.93017578125}, {"start": 1790.87, "end": 1790.95, "word": " ال", "probability": 0.86669921875}, {"start": 1790.95, "end": 1791.29, "word": " acceleration", "probability": 0.80908203125}, {"start": 1791.29, "end": 1791.65, "word": " في", "probability": 0.96728515625}, {"start": 1791.65, "end": 1791.95, "word": " اتجاه", "probability": 0.9759521484375}, {"start": 1791.95, "end": 1792.09, "word": " ال", "probability": 0.958984375}, {"start": 1792.09, "end": 1792.27, "word": " Y", "probability": 0.9873046875}, {"start": 1792.27, "end": 1792.47, "word": " و", "probability": 0.76513671875}, {"start": 1792.47, "end": 1792.79, "word": " الأمثل", "probability": 0.8619384765625}, {"start": 1792.79, "end": 1793.05, "word": " عليها", "probability": 0.950439453125}, {"start": 1793.05, "end": 1793.37, "word": " هتكون", "probability": 0.9469401041666666}, {"start": 1793.37, "end": 1793.47, "word": " ال", "probability": 0.6962890625}, {"start": 1793.47, "end": 1794.09, "word": " projectile", "probability": 0.964111328125}, {"start": 1794.09, "end": 1795.31, "word": " motion", "probability": 0.9658203125}, {"start": 1795.31, "end": 1796.51, "word": " الحركة", "probability": 0.8385416666666666}, {"start": 1796.51, "end": 1797.31, "word": " المقدفة", "probability": 0.8448486328125}, {"start": 1797.31, "end": 1797.97, "word": " يعطيكوا", "probability": 0.787060546875}, {"start": 1797.97, "end": 1798.45, "word": " العافية", "probability": 0.93994140625}, {"start": 1798.45, "end": 1799.05, "word": " و", "probability": 0.818359375}, {"start": 1799.05, "end": 1799.45, "word": " ربنا", "probability": 0.9347330729166666}, {"start": 1799.45, "end": 1800.55, "word": " يوفقكم", "probability": 0.94091796875}, {"start": 1800.55, "end": 1801.05, "word": " في", "probability": 0.9462890625}, {"start": 1801.05, "end": 1801.33, "word": " هذه", "probability": 0.95849609375}, {"start": 1801.33, "end": 1801.85, "word": " المادة", "probability": 0.8224283854166666}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1802.9830625, "duration_after_vad": 1753.0149999999958}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/1wC-6HivsKA.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/1wC-6HivsKA.srt
new file mode 100644
index 0000000000000000000000000000000000000000..abf50e7062fe8bdc24d1a7bf5e1dff903657e805
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/1wC-6HivsKA.srt
@@ -0,0 +1,1339 @@
+
+1
+00:00:04,960 --> 00:00:08,880
+يعطيكم العافية، نكمل الآن في chapter رقم اثنين
+
+2
+00:00:08,880 --> 00:00:12,820
+chapter اثنين، المحاضرة الثانية، المحاضرة الثانية
+
+3
+00:00:12,820 --> 00:00:16,120
+سنكمل الجزء الأول الذي أخذناه، الجزء الأول كان
+
+4
+00:00:16,120 --> 00:00:19,500
+يتكلم عن حاجتين، أولهما كان يتكلم عن ال
+
+5
+00:00:19,500 --> 00:00:19,820
+velocity
+
+6
+00:00:29,360 --> 00:00:36,080
+نأخذ مثال للتذكير، رقم ثلاثة، يقول: في عند position
+
+7
+00:00:36,080 --> 00:00:42,920
+time graph of a particle moving along the x-axis
+
+8
+00:00:42,920 --> 00:00:46,700
+يعني في عند جسم أو particle يتحرك في اتجاه
+
+9
+00:00:46,700 --> 00:00:54,440
+الـ X، موضعه يتغير في اتجاه خط، موضعه بدأ من السكون
+
+10
+00:00:54,440 --> 00:00:59,780
+من صفر، بدأ الـ X بيساوي صفر وبدأ يتغير لما وصل الـ X
+
+11
+00:00:59,780 --> 00:01:05,460
+بالمساواة ثلاثة متر، بعدين الـ X بيساوي ستة متر، بعدين
+
+12
+00:01:05,460 --> 00:01:12,100
+عودة، رجع، أقصى إزاحة كانت عندي قداش؟ قيمتها هي ٦ متر
+
+13
+00:01:12,100 --> 00:01:17,240
+بعدين بدأ يرجع ويقف عند الثلاثة، طبعاً أنا أفسر
+
+14
+00:01:17,240 --> 00:01:20,160
+الآن الـ graph الذي موجود عندي هنا، الـ graph أيضاً
+
+15
+00:01:20,160 --> 00:01:24,680
+علاقة بين الـ X، الـ position، والـ T الآن
+
+16
+00:01:24,680 --> 00:01:30,980
+يقول: في عندي جسم انتقل من الصفر ووصل لأقصى
+
+17
+00:01:30,980 --> 00:01:37,000
+إزاحة ٦ متر، بعدين بدأ يرجع، يرجع في الاتجاه الآخر لما
+
+18
+00:01:37,000 --> 00:01:41,200
+وصل إلى سالب ثلاثة، إذن هو يتحرك في علاقة خطية في
+
+19
+00:01:41,200 --> 00:01:45,700
+خط مستقيم، الـ X من الصفر، بعدين وصل إلى الثلاثة متر
+
+20
+00:01:45,700 --> 00:01:51,840
+بعدين وصل إلى الستة متر، وصل إلى الستة متر عند زمن قيمته
+
+21
+00:01:51,840 --> 00:01:57,960
+قداش؟ عند زمن قيمته واحد second، والثلاثة عند وين؟
+
+22
+00:01:57,960 --> 00:02:05,250
+كانت الثلاثة عند نصف second، بعد ذلك بدأ يرجع، رجع
+
+23
+00:02:05,250 --> 00:02:11,410
+إلى الثلاثة، إذن رجع إلى الثلاثة، الخط الثاني بدأ من الستة
+
+24
+00:02:11,410 --> 00:02:18,670
+رجع إلى الثلاثة، توقف عند الثلاثة ثانيةً، واحد، بعد ما توقف
+
+25
+00:02:18,670 --> 00:02:25,670
+ثانيةً، واحد، رجع إلى أين؟ رجع إلى الصفر، بعد ما رجع إلى الصفر
+
+26
+00:02:25,670 --> 00:02:33,450
+اتحرك في الاتجاه المعاكس، وصل إلى سالب ثلاثة متر،
+
+27
+00:02:33,450 --> 00:02:43,330
+متر سالب
+
+28
+00:02:43,330 --> 00:02:52,830
+ثلاثة متر سالب
+
+29
+00:02:52,830 --> 00:02:55,170
+ثلاثة متر سالب، ثلاثة متر سالب، ثلاثة متر سالب، ثلاثة
+
+30
+00:02:55,170 --> 00:02:59,380
+متر سالب، ثلاثة متر، المطلوب عندي أن أوجد الـ average
+
+31
+00:02:59,380 --> 00:03:04,500
+velocity في الـ interval من T initial بتساوي خمسة إلى
+
+32
+00:03:04,500 --> 00:03:09,080
+T final بتساوي، اسمحوا لي، من T initial بتساوي اثنين
+
+33
+00:03:09,080 --> 00:03:13,120
+second إلى T final بتساوي خمسة second، إذن الـ
+
+34
+00:03:13,120 --> 00:03:16,820
+interval الـ time الذي موجود عندي من اثنين إلى خمسة، الـ
+
+35
+00:03:16,820 --> 00:03:19,600
+average velocity أخذناها في المحاضرة السابقة، الـ
+
+36
+00:03:19,600 --> 00:03:24,810
+average velocity، V  بالمساواة X final ناقص X initial
+
+37
+00:03:24,810 --> 00:03:32,750
+على T final ناقص T initial، T final، T initial، وT
+
+38
+00:03:32,750 --> 00:03:41,910
+final، T initial، اثنين second، T final خمسة second، طيب
+
+39
+00:03:41,910 --> 00:03:47,930
+T initial بيساوي اثنين second، الـ position، X initial له
+
+40
+00:03:47,930 --> 00:03:56,850
+كان قداش؟ عنده ثلاثة، إذن X initial ثلاثة متر، X
+
+41
+00:03:56,850 --> 00:03:59,950
+final و T final عند الخمسة second
+
+42
+00:04:03,660 --> 00:04:07,240
+X final بيساوي صفر، بعد الخمس ثواني سكن، هو
+
+43
+00:04:07,240 --> 00:04:12,480
+متحرك إلى الستة، ثم رجع إلى الثلاثة، ثم توقف عند الثلاثة، ثم
+
+44
+00:04:12,480 --> 00:04:16,540
+رجع إلى الصفر، ثم راح بالسالب، بعد الخمس ثواني رجع
+
+45
+00:04:16,540 --> 00:04:21,900
+إلى ماذا؟ إلى الـ X بيساوي صفر، إذن الـ X بيساوي صفر، إذن
+
+46
+00:04:21,900 --> 00:04:26,220
+بقدر أقول الـ average velocity بيساوي X final
+
+47
+00:04:26,220 --> 00:04:36,810
+صفر - ثلاثة على T final خمسة - اثنين، سالب واحد متر على second
+
+48
+00:04:36,810 --> 00:04:39,830
+المطلوب
+
+49
+00:04:39,830 --> 00:04:45,810
+الثاني هو average acceleration في الـ interval من T
+
+50
+00:04:45,810 --> 00:04:50,610
+بالمساواة نصف إلى T  بالمساواة ٢.٥، نمسح هذا الكلام، أول حاجة
+
+51
+00:04:50,610 --> 00:04:52,070
+أنا حسبت الـ average velocity
+
+52
+00:04:55,230 --> 00:04:58,550
+كانت قيمتها بيساوي من، ولا وين؟ من الـ interval
+
+53
+00:04:58,550 --> 00:05:00,950
+الذي أعطاني إياه من اثنين second إلى خمسة second، تطلع عندي
+
+54
+00:05:00,950 --> 00:05:03,910
+سالب واحد meter per second، الآن بدي أحسب الـ
+
+55
+00:05:03,910 --> 00:05:09,070
+average acceleration، الـ curve عندي موجود ومحدد، بس
+
+56
+00:05:09,070 --> 00:05:14,100
+الـ curve يتعامل مع من؟ مع الـ X، مع الـ position، تتعامل
+
+57
+00:05:14,100 --> 00:05:17,560
+مع الـ position، لكن الـ acceleration تتعامل مع الـ
+
+58
+00:05:17,560 --> 00:05:22,020
+velocity، إذن الـ acceleration، average acceleration
+
+59
+00:05:22,020 --> 00:05:28,400
+بتساوي V final ناقص V initial على T final ناقص T
+
+60
+00:05:28,400 --> 00:05:31,820
+initial، الآن في مشكلة، الـ curve الذي عندي بين من وإلى
+
+61
+00:05:31,820 --> 00:05:37,420
+يحدد الـ position مع الـ time، لكن الأصل في عندي curve
+
+62
+00:05:37,420 --> 00:05:43,700
+ثاني، أو أعمل curve ثاني يحدد ايش الـ V مع الـ time
+
+63
+00:05:43,700 --> 00:05:48,640
+طيب، أنا الـ T initial أعطاني إياها، و T final أعطاني إياها، T
+
+64
+00:05:48,640 --> 00:05:55,520
+initial هي النصف second، و T final هي اثنان ونصف
+
+65
+00:05:55,520 --> 00:06:02,560
+second، بقدر أجيب V initial و V final، وقداش قيمتهم؟
+
+66
+00:06:03,320 --> 00:06:13,160
+متر لكل ثانية، وحدتهم،  T بيساوي نصف هنا، هاي النصف ثانية
+
+67
+00:06:13,160 --> 00:06:17,740
+بقدر أحدد السرعة عند نصف ثانية، في محاضرة سابقة، يعني
+
+68
+00:06:17,740 --> 00:06:22,220
+كأني بدي أُحدد السرعة اللحظية عند T بيساوي نصف ثانية
+
+69
+00:06:22,220 --> 00:06:26,100
+بقدر أُحدد السرعة اللحظية عند T بيساوي نصف ثانية، بقدر
+
+70
+00:06:26,100 --> 00:06:31,500
+أُحددها، ما هي عبارة عن ميل المماس، لكن هذا خط مستقيم
+
+71
+00:06:31,500 --> 00:06:35,500
+لذا ميل هذا الخط هو ميل المماس، مش هي المستقيمة
+
+72
+00:06:35,500 --> 00:06:38,960
+الأولى للـ position، يعني اشتقاق الـ position بالنسبة
+
+73
+00:06:38,960 --> 00:06:43,660
+للزمن، طيب ميل الخط بقدر أحسبه من أي نقطتين واقعتين
+
+74
+00:06:43,660 --> 00:06:50,300
+على الخط، لذا بقدر أقول V initial هي أيه؟ عند نقطة T
+
+75
+00:06:50,300 --> 00:06:58,950
+بالمساواة نصف، هي عبارة ستة ناقص، مين؟ الخط هذا، مين الخط
+
+76
+00:06:58,950 --> 00:07:05,890
+هذا، هو عبارة عن ستة ناقص صفر على واحد ناقص صفر
+
+77
+00:07:05,890 --> 00:07:12,390
+يطلع ستة متر لكل ثانية، إذن الـ V initial هنا بقدر
+
+78
+00:07:12,390 --> 00:07:16,830
+أكتبها ستة متر لكل ثانية، طيب نجيء الآن V final
+
+79
+00:07:16,830 --> 00:07:23,110
+T بيساوي اثنين ونصف، اثنان ونصف، ايش كانت السيارة
+
+80
+00:07:23,110 --> 00:07:28,910
+في اثنين ونصف؟ وين كان مكانها في اثنين ونصف؟ هي الـ
+
+81
+00:07:28,910 --> 00:07:34,650
+position ثلاثة، اثنان ونصف، سرعة هذا الجسم كان متوقف
+
+82
+00:07:34,650 --> 00:07:39,870
+يعني سرعته صفر، إذن السرعة هنا ما زال الجسم متوقف
+
+83
+00:07:39,870 --> 00:07:43,690
+إذن الـ V final قداش قيمتها؟ صفر، إذن الـ V final صارت
+
+84
+00:07:43,690 --> 00:07:48,680
+هي صفر، لأن الجسم واقف عند الـ position الذي هو
+
+85
+00:07:48,680 --> 00:07:52,020
+قيمته ثلاثة متر، ضال واجب فترة زمانية قداش قيمتها؟
+
+86
+00:07:52,020 --> 00:07:55,900
+من اثنين إلى ثلاثة، كان متوقف عند الثلاثة متر، لذا
+
+87
+00:07:55,900 --> 00:08:01,060
+بقدر أجيب الـ acceleration الآن، بتساوي V final، صفر
+
+88
+00:08:01,060 --> 00:08:06,380
+ناقص V initial، ستة متر لكل ثانية، على T final
+
+89
+00:08:06,380 --> 00:08:12,260
+اثنان ونصف ناقص نصف second، فبتطلع القيمة عندها سالب ستة
+
+90
+00:08:12,260 --> 00:08:21,960
+على اثنين، وتساوي سالب ثلاثة
+
+91
+00:08:21,960 --> 00:08:24,040
+متر لكل ثانية مربعة
+
+92
+00:08:26,990 --> 00:08:30,190
+مربعة، إذن أنا في هذه الحالة بقدر أُحدد الـ
+
+93
+00:08:30,190 --> 00:08:33,330
+acceleration، الـ average acceleration، والـ average
+
+94
+00:08:33,330 --> 00:08:37,350
+velocity، في عند احتمالين، أول حاجة أن يكون يعطيني
+
+95
+00:08:37,350 --> 00:08:40,970
+علاقة بين الـ X والـ T، من العلاقة التي أعطاني إياها من
+
+96
+00:08:40,970 --> 00:08:44,290
+الـ X والـ T بقدر أُحدد السرعات عند أي لحظة، لأن
+
+97
+00:08:44,290 --> 00:08:48,550
+السرعات تعتمد على الـ position، لكن بعد ذلك لما جاءني
+
+98
+00:08:48,550 --> 00:08:51,590
+الـ acceleration، سأرتكز على الـ velocity، يعني الأصل
+
+99
+00:08:51,590 --> 00:08:56,600
+يعطيني، أو يقول لي في curve بين الـ V وبين الـ T، من
+
+100
+00:08:56,600 --> 00:08:59,740
+الـ curve الذي بين الـ V وبين الـ T بقدر أُحدد الـ
+
+101
+00:08:59,740 --> 00:09:04,660
+acceleration، طيب لو قلنا، أعطيني أنا جسم يتحرك بعلاقة
+
+102
+00:09:04,660 --> 00:09:08,280
+meter per second، وهنا الـ T بالـ second، وهي العلاقة
+
+103
+00:09:08,280 --> 00:09:13,500
+خطية زي هيك، ايش معناتها؟ من يفسر لي إياها، أو تفسيرها
+
+104
+00:09:13,500 --> 00:09:20,110
+ايش هي؟ تفسير الـ V، إن في هذه الحالة علاقة خطية، خط
+
+105
+00:09:20,110 --> 00:09:24,390
+مستقيم، معناتها الـ acceleration قيمتها ماذا؟
+
+106
+00:09:24,390 --> 00:09:25,530
+constant
+
+107
+00:09:27,760 --> 00:09:34,220
+خطية، يعني تزيد بمقدار ماذا؟ بمقدار ثابت، خط مستقيم
+
+108
+00:09:34,220 --> 00:09:39,640
+بهذا الشكل، معناتها التسارع قيمته ثابتة، معادلة
+
+109
+00:09:39,640 --> 00:09:43,460
+خط مستقيم، أنا عارفها، معادلة الخط المستقيم، معادلة
+
+110
+00:09:43,460 --> 00:09:50,650
+الخط المستقيم، Y بيساوي،  الموجودة في الوصف
+
+111
+00:09:50,650 --> 00:09:52,890
+الوصف الموجود في الوصف الموجود في الوصف الموجود في
+
+112
+00:09:52,890 --> 00:09:54,170
+الوصف الموجود في الوصف الموجود في الوصف الموجود في
+
+113
+00:09:54,170 --> 00:09:56,910
+الوصف الموجود في الوصف الموجود في الوصف الموجود في
+
+114
+00:09:56,910 --> 00:09:57,130
+الوصف الموجود في الوصف الموجود في الوصف الموجود في
+
+115
+00:09:57,130 --> 00:09:59,070
+الوصف الموجود في الوصف الموجود في الوصف الموجود في
+
+116
+00:09:59,070 --> 00:09:59,170
+الوصف الموجود في الوصف الموجود في الوصف الموجود في
+
+117
+00:09:59,170 --> 00:10:00,100
+الوصف الموجود في الوصف الموجود في الوصف قيمتها
+
+118
+00:10:00,100 --> 00:10:03,640
+بالموجب، لأنها زيادة، طيب لو كانت العلاقة عندنا، نأخذ
+
+119
+00:10:03,640 --> 00:10:07,360
+مجموعة من العلاقات، وأنا أقول بعد هيك أي علاقة
+
+120
+00:10:07,360 --> 00:10:11,100
+تعبر عن acceleration موجبة، acceleration سالبة،
+
+121
+00:10:11,100 --> 00:10:16,500
+acceleration متغيرة، إذا كانت العلاقة، أول حاجة، علاقة
+
+122
+00:10:16,500 --> 00:10:21,040
+بين الـ V وبين الـ T، علاقة خطية، علاقة خطية، معناتها
+
+123
+00:10:21,040 --> 00:10:26,620
+الـ acceleration ماذا؟ قلنا ثابتة، طيب لو كانت
+
+124
+00:10:26,620 --> 00:10:30,100
+العلاقة عندي بين الـ V متر لكل ثانية مثلاً، وT
+
+125
+00:10:30,100 --> 00:10:37,240
+بالثانية، العلاقة زي هيكا، علاقة خطية كمان، الـ
+
+126
+00:10:37,240 --> 00:10:41,280
+acceleration ثابتة، طيب ايش بتفرق الـ acceleration في
+
+127
+00:10:41,280 --> 00:10:45,620
+الحالة الأولى عن الحالة الثانية؟ الحالة الأولى
+
+128
+00:10:45,620 --> 00:10:50,560
+positive، الحالة الثانية بتكون negative
+
+129
+00:10:52,030 --> 00:10:55,250
+لأن ميل الخط المستقيم؟ متكلم عن الميل، الميل في هذا
+
+130
+00:10:55,250 --> 00:10:59,230
+السالب، طيب لو كانت زي هيك العلاقة بين الـ V وبين
+
+131
+00:10:59,230 --> 00:11:06,110
+الـ T، علاقة مش خطية، علاقة زي هيك، علاقة مثلاً تربيعية
+
+132
+00:11:06,110 --> 00:11:10,470
+أو تكعيبية، إذن في هذه الحالة تتغير الـ acceleration
+
+133
+00:11:10,470 --> 00:11:14,770
+بتغير الزمان، إذن تعتمد في هذه الحالة الـ
+
+134
+00:11:14,770 --> 00:11:18,710
+acceleration كأنها function في الـ T، تعتمد على
+
+135
+00:11:18,710 --> 00:11:23,150
+الزمان، ممكن تزيد وممكن تقل، تبعاً للمنحنى الذي
+
+136
+00:11:23,150 --> 00:11:25,770
+موجود عندي، لذا في هذا الحال ممكن تكون الـ
+
+137
+00:11:25,770 --> 00:11:29,450
+acceleration موجبة، تكون سالبة، ومانساش سالبة، لأنها
+
+138
+00:11:29,450 --> 00:11:33,290
+تعتمد على اتجاه الـ acceleration لما تكون عندي
+
+139
+00:11:33,290 --> 00:11:37,050
+الشكل، بين العلاقة بين الـ V وبين الـ T، علاقة بهذا
+
+140
+00:11:37,050 --> 00:11:41,290
+الشكل، العلاقة معناتها أن الـ acceleration تعتمد على
+
+141
+00:11:41,290 --> 00:11:46,690
+الـ T، طيب سؤال، بدي أعطيكم إياه، لو كانت العلاقة عندي
+
+142
+00:11:46,690 --> 00:11:55,700
+بين الـ X وبين الـ T متر لكل ثانية، والـ T بالمتر
+
+143
+00:11:55,700 --> 00:12:03,980
+بالمتر، الـ X بالمتر، والـ T بالثانية، علاقة خطية، الـ
+
+144
+00:12:03,980 --> 00:12:09,240
+acceleration قداش؟ بيساوي، حاجة تفكروا فيها، وحاولوا
+
+145
+00:12:09,240 --> 00:12:13,600
+تكتبوها في التعليق، الـ acceleration قداش
+
+146
+00:12:13,600 --> 00:12:16,740
+بيساوي؟ إذا كانت العلاقة بين الـ X وبين الـ T
+
+147
+00:12:16,740 --> 00:12:24,780
+علاقة خطية، واضح، الآن نكمل في الجزء الذي هو linear
+
+148
+00:12:24,780 --> 00:12:31,160
+linear motion with constant acceleration، linear
+
+149
+00:12:31,160 --> 00:12:35,000
+motion with constant acceleration، نمسح القديم كامل
+
+150
+00:12:55,640 --> 00:12:58,760
+لاحظوا أول حاجة، الشرط،  constant acceleration
+
+151
+00:13:01,010 --> 00:13:05,650
+القوانين التي ستطلعها في شرط مهم، Constant
+
+152
+00:13:05,650 --> 00:13:10,330
+acceleration، إذا لو في عندي جسم يتحرك uniform
+
+153
+00:13:10,330 --> 00:13:15,030
+motion with acceleration is constant، كل مرة أؤكد
+
+154
+00:13:15,030 --> 00:13:18,470
+عليها، constant، لما تكون الـ acceleration constant
+
+155
+00:13:18,470 --> 00:13:23,650
+معنى ذلك أن السرعة تزداد بمقدار ماذا؟ مقدار ثابت، لو
+
+156
+00:13:23,650 --> 00:13:30,890
+اعتبرنا أن الجسم بدأ من السكون، ستكون عنده V، نقول الـ
+
+157
+00:13:30,890 --> 00:13:36,750
+T، الـ T بيساوي صفر، هذا T initial، T initial أن T
+
+158
+00:13:36,750 --> 00:13:42,690
+بيساوي صفر، في عندي V initial،  ونسميه V not،  إن T
+
+159
+00:13:42,690 --> 00:13:50,970
+final سنسميها T، V final هي الـ V، طيب أنا أعرف الـ
+
+160
+00:13:50,970 --> 00:13:54,270
+acceleration،  أيه؟  بيساوي V final ناقص V initial
+
+161
+00:13:54,270 --> 00:14:01,890
+على T final ناقص T initial، V final، V ناقص V
+
+162
+00:14:01,890 --> 00:14:08,730
+initial، V naught، على T final، T ناقص صفر، إذن
+
+163
+00:14:08,730 --> 00:14:12,570
+يطلع V ناقص V naught على T ناقص صفر، ويضل عند
+
+164
+00:14:12,570 --> 00:14:18,390
+الـ T، ضرب تبادلي، بتجيء هنا عندي، بيصير a في t بيساوي
+
+165
+00:14:18,390 --> 00:14:22,010
+V ناقص V not، انقل الـ V not على الطرف الثاني، إذن
+
+166
+00:14:22,010 --> 00:14:27,430
+بيصير الـ V final بيساوي V not زائد a في t، إذن الـ V
+
+167
+00:14:27,430 --> 00:14:32,610
+final بيساوي V initial زائد الـ acceleration في t
+
+168
+00:14:32,610 --> 00:14:36,730
+بس كمان مرة أقول الـ acceleration ماذا؟ constant
+
+169
+00:14:36,730 --> 00:14:40,950
+لازم تكون الـ acceleration constant، زي من؟ زي عزيزي
+
+170
+00:14:40,950 --> 00:14:44,130
+الجاذبية الأرضية، أو جسم يتحرك بسرعة ثابتة، ويحدد
+
+171
+00:14:44,130 --> 00:14:46,8
+
+223
+00:18:35,160 --> 00:18:40,750
+إيش قلنا بنبدأ من السكون أو ΔT وهذا بد
+
+224
+00:18:40,750 --> 00:18:44,870
+معادلتين واحد واتنين إذا كأن بقول الـ V average
+
+225
+00:18:44,870 --> 00:18:50,250
+إلها معادل ومعادل ثانية، والتانيتين سويتهم مع بعض
+
+226
+00:18:50,250 --> 00:18:56,970
+لما سويتهم مع بعض من المعادلتين بقدر أطلع معادلة
+
+227
+00:18:56,970 --> 00:19:04,610
+جديدة، هذه معادلة رقم اثنين، معادلة رقم اثنين
+
+228
+00:19:08,060 --> 00:19:12,120
+طبعاً أنا عوضت عن قيمة الـ V، الـ V هي حسبناها من
+
+229
+00:19:12,120 --> 00:19:18,040
+معادلة، هاد V naught  زي F T زي V naught على اثنين، و
+
+230
+00:19:18,040 --> 00:19:24,460
+هنا V و X ناقص X naught، يعني من هنا ومن هاد،برقى
+
+231
+00:19:24,460 --> 00:19:28,520
+أرتب المعادلة فقط، بتطلع عندي معادلة جديدة X final
+
+232
+00:19:28,520 --> 00:19:33,980
+ناقص X initial، V naught في T زائد نصف A T تربيع، إذا
+
+233
+00:19:33,980 --> 00:19:39,300
+كانت الـ T لحظة البداية هي الـ Zero دائماً أنا بأخذها
+
+234
+00:19:39,300 --> 00:19:43,180
+من لحظة البداية هي الـ Zero عندي حتى ما أكتبش ΔT
+
+235
+00:19:43,180 --> 00:19:47,460
+هذا معادلة رقم اثنين، لاحظوا في معادلة رقم اثنين
+
+236
+00:19:47,460 --> 00:19:51,470
+لو اعتبرت الـ position عندي قيمتها Zero، يعني الجسم
+
+237
+00:19:51,470 --> 00:19:55,210
+بدأ من إيش؟ من نقطة الأصل، بيصير المعادلة عندي X
+
+238
+00:19:55,210 --> 00:20:03,980
+بالساوية V0 في T، وV0 هي  نقشة زائد نصف AT²، هذا معادلة
+
+239
+00:20:03,980 --> 00:20:07,480
+رقم اثنين، إذا قلنا الـ X initial اللي بدأ منها
+
+240
+00:20:07,480 --> 00:20:12,340
+قيمتها Zero زي الـ T initial، Zero هو كان الـ X
+
+241
+00:20:12,340 --> 00:20:17,660
+initial، أخذ نقطة البدء عنده هي الـ Zero، لو كان في
+
+242
+00:20:17,660 --> 00:20:20,480
+نقطة بدء قيمتها ثلاثة، أنا بعوض عنها بنفس القيمة
+
+243
+00:20:20,480 --> 00:20:26,760
+مابدأش من الـ origin، أخدت قياس ثاني أو مرحلة ثانية
+
+244
+00:20:26,760 --> 00:20:32,260
+ببدأ منها، طيب نيجي للمعادلة رقم ثلاثة، المعادلة
+
+245
+00:20:32,260 --> 00:20:35,880
+الرقم ثلاثة اللي بالزمن، يمكن تذكرني أن أنتم تذكرتوا
+
+246
+00:20:35,880 --> 00:20:40,380
+معادلات لما كنتوا تسموها N وN صفر و N شرطة أو بهذا
+
+247
+00:20:40,380 --> 00:20:45,340
+الشكل، كان فيها أنتم ثلاث معادلات تسموها ثلاث معادلات
+
+248
+00:20:45,340 --> 00:20:50,360
+الحركة، وثلاث معادلات الحركة لما كنا نقول شرط فيها
+
+249
+00:20:50,360 --> 00:20:55,840
+acceleration  بساوي H0، الأهم المعادلة رقم واحد هي T
+
+250
+00:20:55,840 --> 00:20:59,900
+بساوي V ناقص V نقطة على A، والمعادلة اللي جابت الـ
+
+251
+00:20:59,900 --> 00:21:05,100
+اثنين بس بدخلهم في بعض، X ناقص X نقطة، قيمة T في
+
+252
+00:21:05,100 --> 00:21:09,140
+المعادلة السابقة اللي هنا، لو طلعنا على المعادلة
+
+253
+00:21:09,140 --> 00:21:15,680
+قيمة T بعوض عنها، المعادلة هذه بعوض عن قيمة T بتطلع
+
+254
+00:21:15,680 --> 00:21:22,810
+عندي المعادلة النهائية اللي هي رقم ثلاث، علاقة بين V
+
+255
+00:21:22,810 --> 00:21:29,530
+Square، V Final Square، V Initial Square زائد 2A في
+
+256
+00:21:29,530 --> 00:21:34,470
+X ناقص X أو في ΔX، هذه معادلة رقم ثلاث، إذاً
+
+257
+00:21:34,470 --> 00:21:38,550
+الآن في عندي ثلاث معادلات، وما أنسى الـ average، إيش
+
+258
+00:21:38,550 --> 00:21:42,270
+بساوي كمان؟ ممكن أضيفها، الـ average velocity
+
+259
+00:21:42,270 --> 00:21:50,360
+بتساوي V زائد V naught على اثنين، ممكن تلزمني لأن
+
+260
+00:21:50,360 --> 00:21:54,720
+ما هي الشرط، الـ acceleration مالها كمان مرة بأذكر
+
+261
+00:21:54,720 --> 00:21:58,600
+أنها لازم تكون، السؤال أن تكون constant أو uniform
+
+262
+00:21:58,600 --> 00:22:03,300
+acceleration، uniform motion with acceleration is
+
+263
+00:22:03,300 --> 00:22:06,900
+constant، طبعاً هذه معادلات الحركة الثلاث، إذاً
+
+264
+00:22:06,900 --> 00:22:10,060
+معادلات الحركة الثلاث للتذكير، الآن أنا هأذكرهم
+
+265
+00:22:10,060 --> 00:22:17,060
+للتذكير، أول معادلة اللي هي V final
+
+266
+00:22:18,910 --> 00:22:23,810
+V final بيساوي V initial زائد A في T، المعادلة
+
+267
+00:22:23,810 --> 00:22:28,670
+الثانية بتتكلم عن إزاحة، X ناقص X naught بيساوي V
+
+268
+00:22:28,670 --> 00:22:35,050
+naught في T زائد نصف A T square، آخر معادلة عندي
+
+269
+00:22:35,050 --> 00:22:39,390
+اللي موجودة قدامي، V square، هذا V final square، V
+
+270
+00:22:39,390 --> 00:22:46,540
+initial square زائد 2A X ناقص X naught، كمان مرة
+
+271
+00:22:46,540 --> 00:22:49,480
+بقول acceleration، نوّهت عليها في المحاضرة السابقة
+
+272
+00:22:49,480 --> 00:22:55,840
+الـ acceleration قيمتها ممكن تكون موجبة وممكن تكون
+
+273
+00:22:55,840 --> 00:23:00,140
+سالبة، بأعبر عنها بإيه؟ اتجاهها، كانت موجبة ولا كانت
+
+274
+00:23:00,140 --> 00:23:05,140
+سالبة، يعني السرعة النهائية ممكن تزداد إذا كانت الـ
+
+275
+00:23:05,140 --> 00:23:07,400
+acceleration بنفس اتجاه الحركة الابتدائية أو
+
+276
+00:23:07,400 --> 00:23:09,920
+السرعة الابتدائية، وممكن تقل إذا كانت الـ
+
+277
+00:23:09,920 --> 00:23:15,710
+acceleration عكس اتجاه، الـ acceleration عكس اتجاه
+
+278
+00:23:15,710 --> 00:23:18,330
+الحركة، اللي بتزيد، إذا ممكن تزيد وممكن تصل الـ
+
+279
+00:23:18,330 --> 00:23:24,090
+final velocity للـ Zero، في أي استفسار؟ طبعاً نيجي لو
+
+280
+00:23:24,090 --> 00:23:27,910
+أنا بدي أحل أي مسألة، مش هنذكر طرق الحل، هي موجودة
+
+281
+00:23:27,910 --> 00:23:31,850
+عندي، لو بدي أحل أي مسألة، بس بدي أذكر أنه كان من
+
+282
+00:23:31,850 --> 00:23:38,910
+حاجة عندي، عندي أول حاجة الـ X، الـ position عندي، الـ A
+
+283
+00:23:38,910 --> 00:23:45,610
+أو الـ T، عندي الـ V Final و V Initial، وعندي كمان
+
+284
+00:23:45,610 --> 00:23:50,670
+الـ Acceleration، لو جئت أعدهم واحد، اثنين، ثلاثة،
+
+285
+00:23:50,670 --> 00:23:56,730
+أربعة، خمسة، حتى أقدر أحددهم لازم يعطيني الثلاثة
+
+286
+00:23:56,730 --> 00:24:03,390
+أشياء، أي ثلاثة، بيعطيني الثلاثة أشياء بقدر من خلالها
+
+287
+00:24:03,390 --> 00:24:07,360
+أجيب الحاجتين المتبقيتين، إذا عندي كلهم خمسة أشياء، التي
+
+288
+00:24:07,360 --> 00:24:09,280
+هي سرعة ابتدائية وسرعة نهائية
+
+289
+00:24:14,150 --> 00:24:16,770
+إذا أنا أو الـ displacement أو الإزاحة الموجودة
+
+290
+00:24:16,770 --> 00:24:21,750
+عندنا ΔX، إذا ممكن يعطيني ثلاثة منهم أقدر أحسب
+
+291
+00:24:21,750 --> 00:24:25,530
+الحاجتين المتبقيتين، لما تيجي تحليل المسألة، أول حاجة
+
+292
+00:24:25,530 --> 00:24:31,070
+حط المحطيات، إذا رقم واحد، إيش ما يعطيك السؤال وحدد
+
+293
+00:24:31,070 --> 00:24:36,710
+نقطة البداية X initial، إذا حدد للـ origin، أول حاجة
+
+294
+00:24:36,710 --> 00:24:40,330
+أول حاجة بيلزمك الـ origin، بعد ما تحدد الـ origin
+
+295
+00:24:40,330 --> 00:24:45,330
+بدي أُحدد الـ vector quantity الذي يعطيني الخمس
+
+296
+00:24:45,330 --> 00:24:48,550
+أشياء، طبعاً الـ vector quantity عندي ثلاثة أشياء، و عندي
+
+297
+00:24:48,550 --> 00:24:53,310
+scalar اللي هو الـ time، سكالر الـ time، بحددهم والـ
+
+298
+00:24:53,310 --> 00:24:56,430
+direction، عندي الـ direction، وين اتجاههم، والموجب
+
+299
+00:24:56,430 --> 00:24:59,390
+السالب أو الـ direction للـ acceleration، وبحدد الـ
+
+300
+00:24:59,390 --> 00:25:03,120
+direction، وين موجب ووين سالب، يعني اتجاه اللي بدي
+
+301
+00:25:03,120 --> 00:25:07,480
+آخذ الكميات المتجهة فيه بالموجب، وين اتجاههم
+
+302
+00:25:07,480 --> 00:25:10,980
+والكميات المتجهة بدي آخذها بالسالب، وين اتجاههم
+
+303
+00:25:10,980 --> 00:25:14,060
+يعني أنا آخذ هذا الاتجاه هو الموجب، الـ gate الـ
+
+304
+00:25:14,060 --> 00:25:18,860
+acceleration عكسها بعوض عنها إيش؟ بالسالب، الـ gate الـ
+
+305
+00:25:18,860 --> 00:25:23,740
+V final طلعت معي بالسالب، إيش معناته؟ V
+
+306
+00:25:23,740 --> 00:25:28,310
+initial بالموجب، لكن V final طلعت معي بالسالب،
+
+307
+00:25:28,310 --> 00:25:33,950
+مثلاً طلعت بالسالب، معناته صارت في الاتجاه المعاكس
+
+308
+00:25:33,950 --> 00:25:38,390
+لأن السالب إشارة بتعبر عن اتجاه، إذا الجسم كان
+
+309
+00:25:38,390 --> 00:25:41,790
+يتحرك بهذا الاتجاه، طبقت عليه acceleration مالها
+
+310
+00:25:41,790 --> 00:25:47,080
+constant acceleration، إيش صار عنده؟ بعد ما جئت أحسب
+
+311
+00:25:47,080 --> 00:25:52,100
+حساباتي، وجئت الـ velocity الـ final بالسالب، مثلاً الـ
+
+312
+00:25:52,100 --> 00:25:55,260
+final velocity بالسالب، معناته الجسم عكس اتجاه، و
+
+313
+00:25:55,260 --> 00:26:00,240
+هذا منطقي، وأمثلة كثيرة عليها، ارمي الجسم لفوق، رميت
+
+314
+00:26:00,240 --> 00:26:05,020
+الجسم لفوق، بعد شوية ارتد، هيك اتجاهها موجب لأعلى،
+
+315
+00:26:05,020 --> 00:26:09,680
+لكن لما جئت أحسب السرعة النهائية، جئت بها بالسالب،
+
+316
+00:26:09,680 --> 00:26:16,370
+إيش معناته؟ الجسم نازل، لأن هي أطلعت معي إشارة
+
+317
+00:26:16,370 --> 00:26:23,290
+بالسالب، باختار الـ equation المناسبة لحل هذه المسألة
+
+318
+00:26:23,290 --> 00:26:28,150
+إذا أول حاجة بدي اختار... بدي أقرأ السؤال وأفهم
+
+319
+00:26:28,150 --> 00:26:32,250
+السؤال، رقم واحد، فهم السؤال، الفهم هو أول حاجة لحل
+
+320
+00:26:32,250 --> 00:26:36,370
+المسألة، رقم اثنين، بدي أبدأ بعد ما أفهم السؤال، أُحدد
+
+321
+00:26:36,370 --> 00:26:39,950
+موضع ابتدائي وموضع نهائي، آخذ الـ origin point،
+
+322
+00:26:39,950 --> 00:26:44,550
+بعد هيك بدي أُحدد اتجاه الـ positive direction، اتجاه
+
+323
+00:26:44,550 --> 00:26:47,650
+الموجب، وين اتجاه الموجب؟ بهذا الشكل ولا بهذا
+
+324
+00:26:47,650 --> 00:26:51,280
+الشكل؟ أنت بتحدده، طبعاً هو أنا بتوقع دائماً آخذ
+
+325
+00:26:51,280 --> 00:26:56,180
+لفوق بالموجب، لتحت بالسالب، على اليمين موجب، اليسار
+
+326
+00:26:56,180 --> 00:27:00,160
+إيش؟ سالب، بعدين بحدد الكميات الفيزيائية اللي
+
+327
+00:27:00,160 --> 00:27:04,080
+عندي، والـ direction اللي لها، بعد هيك system اللي
+
+328
+00:27:04,080 --> 00:27:08,540
+أنا بستخدمه، the same system، هذه نقطة بيقع فيها كثير
+
+329
+00:27:08,540 --> 00:27:13,520
+من الطلبة والطالبات طبعاً، اللي هو يأخذ الـ system
+
+330
+00:27:15,020 --> 00:27:17,680
+بتطلع معي الـ system يكون مختلف، ما يغيروش الـ
+
+331
+00:27:17,680 --> 00:27:23,110
+system، إذا أنا غيرت في الكيلومتر/ساعة، أو، ما ينفعش
+
+332
+00:27:23,110 --> 00:27:26,410
+أتخلى الفلسفة بالكيلومتر/ساعة، وحدتها لازم
+
+333
+00:27:26,410 --> 00:27:29,550
+تكون هنا، الكيلومتر بدي أحوله لمتر، يعني بدي أقول هو
+
+334
+00:27:29,550 --> 00:27:35,770
+الألف متر على الساعة، هي ستين في ستين، لأن ممكن أجد
+
+335
+00:27:35,770 --> 00:27:38,390
+الوحدة الثانية اللي ما تجينيها في final، في initial،
+
+336
+00:27:38,390 --> 00:27:43,330
+أو ما تجيني الإزاحة بالمتر، بنفعليها، بحول الإزاحات
+
+337
+00:27:43,330 --> 00:27:50,850
+كلها بالكيلومتر/الساعة، أو بحول الكيلومتر لمتر
+
+338
+00:27:50,850 --> 00:27:57,090
+والساعة لدقيقة، ستين ساعة، ستين دقيقة في ستين
+
+339
+00:27:57,090 --> 00:28:03,930
+ثانية، فبقول أنا حولت الكيلومتر لمين؟ لمتر، متر/
+
+340
+00:28:03,930 --> 00:28:07,710
+ثانية، طلع معي، إذا الكيلومتر/ثانية فيه كثير
+
+341
+00:28:07,710 --> 00:28:11,750
+من المسائل بيعطيهم سرعة سيارة بالكيلومتر/
+
+342
+00:28:11,750 --> 00:28:16,330
+ساعة، بيعطيهم المسافة والزمن بالـ second وبالـ متر
+
+343
+00:28:16,330 --> 00:28:20,910
+فهو ده واحد الأنظمة اللي أنا بستخدمها للـ unit، بعد
+
+344
+00:28:20,910 --> 00:28:24,970
+هيك، بستخدم معادلة مناسبة بحيث الثلاث أشياء اللي
+
+345
+00:28:24,970 --> 00:28:29,910
+أعطاني إياها في المعادلة، في السؤال، ألاجيها قدامي في
+
+346
+00:28:29,910 --> 00:28:34,070
+المعادلة، أحياناً ممكن تختار، تحتاج لحل معادلتين مع
+
+347
+00:28:34,070 --> 00:28:43,700
+بعض، نحاول ننهي بهذا المثال، المثال بيقول أنه في عنده
+
+348
+00:28:43,700 --> 00:28:49,910
+car starts، سيارة بدأت from rest، وبدأت تتحرك، لاحظوا
+
+349
+00:28:49,910 --> 00:28:55,010
+الكلام، constant acceleration، إذا أول حاجة جالس
+
+350
+00:28:55,010 --> 00:28:59,870
+سيارة وذاكر uniform constant acceleration، إذا ما
+
+351
+00:28:59,870 --> 00:29:03,430
+زال جا لي constant acceleration، المعادلات اللي هنا
+
+352
+00:29:03,430 --> 00:29:06,390
+أو ما أنسى في الـ average كمان، المعادلة ممكن تلزم
+
+353
+00:29:06,390 --> 00:29:11,410
+نقل، V زائد V naught على اثنين، إذن ما جا لي
+
+354
+00:29:11,410 --> 00:29:15,130
+acceleration، بدي اختار معادلة من هذه المعادلات، after
+
+355
+00:29:15,130 --> 00:29:19,670
+12 second، الـ velocity صارت قيمتها، إذا هو كان
+
+356
+00:29:19,670 --> 00:29:24,490
+أعطاني V final، إذن أول حاجة، قلت أنا بأجي بقى أقول
+
+357
+00:29:24,490 --> 00:29:34,950
+V final قيمتها؟ 120 متر/ثانية، خلال زمن
+
+358
+00:29:34,950 --> 00:29:38,010
+قدره كده؟ 12 ثانية
+
+359
+00:29:43,820 --> 00:29:46,880
+Find the acceleration، أول حاجة، جيب لي الـ
+
+360
+00:29:46,880 --> 00:29:50,520
+acceleration، لكن طلع على المسألة، Start from إيش؟
+
+361
+00:29:50,520 --> 00:29:54,280
+Rest، إيش معناته؟ V initial أو V naught  بساوي
+
+362
+00:29:54,280 --> 00:29:57,400
+Zero، إذن V naught  بساوي Zero، خلينا هذا الـ V
+
+363
+00:29:57,400 --> 00:30:02,400
+بنشيله، دي تبقى أسهل من رمز في واحد، اثنين، ثلاثة
+
+364
+00:30:02,400 --> 00:30:03,360
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+365
+00:30:03,360 --> 00:30:03,380
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+366
+00:30:03,380 --> 00:30:03,560
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+367
+00:30:03,560 --> 00:30:05,840
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+368
+00:30:05,840 --> 00:30:10,760
+اثنين اثنين اثنين اثنين اثنين
+
+369
+00:30:10,760 --> 00:30:17,000
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+370
+00:30:17,000 --> 00:30:25,840
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+371
+00:30:25,840 --> 00:30:31,540
+بتفيها الـ V والـ V0 والـ T، إيش اللي هو المجهول؟
+
+372
+00:30:31,540 --> 00:30:37,040
+عنده قيمة الـ A، إذن الـ A بيساوي V ناقص V0 على T، الـ
+
+373
+00:30:37,040 --> 00:30:41,160
+V  أعطاني إياها 120، هيها موجودة عنده، والـ V0 0، على 12،
+
+374
+00:30:41,160 --> 00:30:47,600
+بتطلع عشرة متر/ثانية، find the distance، we used
+
+375
+00:30:47,600 --> 00:30:51,900
+إيش المسافة اللي قطعتها السيارة؟ طبعاً أنا بأتكلم في
+
+376
+00:30:51,900 --> 00:30:57,820
+linear motion، إذا في هذه الحالة الـ X هي X ناقص X0،
+
+377
+00:30:57,820 --> 00:31:05,040
+الـ X ناقص ناقص
+
+378
+00:31:05,040 --> 00:31:08,400
+X ناقص X ناقص X ناقص X ناقص X ناقص X ناقص X ناقص X
+
+379
+00:31:08,400 --> 00:31:14,760
+ناقص X ناقص نصف a، الـ a حسبتها، إيش طلعت؟ عندي عشرة
+
+380
+00:31:14,760 --> 00:31:18,500
+متر/ثانية تربيع، في T square، معطيني إياها كلها،
+
+381
+00:31:18,500 --> 00:31:22,880
+بطلع قيمتها، بطلع 720 متر/ثانية
+
+382
+00:31:22,880 --> 00:31:27,080
+بيعطيكم العافية، وللمحاضرة الجاية بنكمل الـ free
+
+383
+00:31:27,080 --> 00:31:30,910
+falling، الـ free falling اللي هو على نفس الموضوع،
+
+384
+00:31:30,910 --> 00:31:35,190
+ولكن حالة خاصة منه أن الـ acceleration اتجاهه لوين؟
+
+385
+00:31:35,190 --> 00:31:39,590
+لأسفل، وهي اتجاه الـ acceleration هي عجلة الجاذبية
+
+386
+00:31:39,590 --> 00:31:42,350
+الأرضية، يعطيكم العافية.
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/1wC-6HivsKA_raw.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/1wC-6HivsKA_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..51a7d63c2e366b0b74c5cbedf07b9ecc7386a9b3
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/1wC-6HivsKA_raw.srt
@@ -0,0 +1,1552 @@
+1
+00:00:04,960 --> 00:00:08,880
+يعطيكم العافية نكمل الآن في chapter رقم اتنين
+
+2
+00:00:08,880 --> 00:00:12,820
+chapter اتنين المحاضرة التانية المحاضرة التانية
+
+3
+00:00:12,820 --> 00:00:16,120
+هيكمل للجزء الأول اللي أخدناه الجزء الأول كان
+
+4
+00:00:16,120 --> 00:00:19,500
+بيتكلم عن حاجتين اللي هو أول حاجة كان بيتكلم عن ال
+
+5
+00:00:19,500 --> 00:00:19,820
+velocity
+
+6
+00:00:29,360 --> 00:00:36,080
+بناخد مثال للتذكير رقم تلاتة بيقول في عند position
+
+7
+00:00:36,080 --> 00:00:42,920
+time graphof a particle moving along the x-axis
+
+8
+00:00:42,920 --> 00:00:46,700
+يعني في عند جسم بتحرك أو particle بتحرك في اتجاه
+
+9
+00:00:46,700 --> 00:00:54,440
+ال X موضعه بتغير في اتجاه خط موضعه بدأ من السكون
+
+10
+00:00:54,440 --> 00:00:59,780
+من Zero بدأ X بالساوة Zero و بدأ يتغير لما وصل X
+
+11
+00:00:59,780 --> 00:01:05,460
+بالساوة تلاتة متر بعدين X بالساوة ستة متر بعدين
+
+12
+00:01:05,460 --> 00:01:12,100
+عود رجعأقصى إزاحة كانت عندى قداش قمتها هي 6 متر
+
+13
+00:01:12,100 --> 00:01:17,240
+بعدين بدأ يرجع ويقف عندى التلاتة طبعا أنا بفسر
+
+14
+00:01:17,240 --> 00:01:20,160
+الآن ال graph اللى موجود عندى هنا ال graph كمان
+
+15
+00:01:20,160 --> 00:01:24,680
+مرة علاقة بين ال X ال position وش و ال T الان
+
+16
+00:01:24,680 --> 00:01:30,980
+بيقول في عندى جسم انتقل من ال zero ووصل لأقصى
+
+17
+00:01:30,980 --> 00:01:37,000
+إزاحة 6 متر بعدين بدأ يرجعرجع في الاتجاه الآخر لما
+
+18
+00:01:37,000 --> 00:01:41,200
+وصل جديش سالب تلاتة إذا هو بتحرك في علاقة خطية في
+
+19
+00:01:41,200 --> 00:01:45,700
+خط مستقيم X من الـ Zero بعدين وصل للتلاتة متر
+
+20
+00:01:45,700 --> 00:01:51,840
+بعدين وصل للستة متر وصل للستة متر عند زمن قيمته
+
+21
+00:01:51,840 --> 00:01:57,960
+جديش عند زمن قيمته واحد second والتلاتة عند وين
+
+22
+00:01:57,960 --> 00:02:05,250
+كانت التلاتة عند نص secondبعد ذلك بدأ يرجع رجع
+
+23
+00:02:05,250 --> 00:02:11,410
+للتلاتة إذا رجع للتلاتة الخط التاني بدأ من الستة
+
+24
+00:02:11,410 --> 00:02:18,670
+رجع للتلاتة توقف عند التلاتة ثاني واحد بعد ما توقف
+
+25
+00:02:18,670 --> 00:02:25,670
+ثاني واحد رجع لوين رجع للزيرو بعد ما رجع للزيرو
+
+26
+00:02:25,670 --> 00:02:33,450
+اتحرك في الاتجاه المعاكس وصل لتلاتة مترسالب تلاتة
+
+27
+00:02:33,450 --> 00:02:43,330
+متر سالب
+
+28
+00:02:43,330 --> 00:02:52,830
+تلاتة متر سالب
+
+29
+00:02:52,830 --> 00:02:55,170
+تلاتة متر سالب تلاتة متر سالب تلاتة متر سالب تلاتة
+
+30
+00:02:55,170 --> 00:02:59,380
+متر سالب تلاتة مترالمطلوب عندي ان اوجد ال average
+
+31
+00:02:59,380 --> 00:03:04,500
+velocity في ال interval من T initial بتساوي خمسة ل
+
+32
+00:03:04,500 --> 00:03:09,080
+T final بتساوي اسم من T initial بتساوي اتنين
+
+33
+00:03:09,080 --> 00:03:13,120
+second ل T final بتساوي خمسة second اذا ال
+
+34
+00:03:13,120 --> 00:03:16,820
+interval ال time اللي موجود عندى من اتنين لخمسة ال
+
+35
+00:03:16,820 --> 00:03:19,600
+average velocity احنا خدناها المحاضرة السابقة ال
+
+36
+00:03:19,600 --> 00:03:24,810
+average velocityV بالساوية X final ناقص X initial
+
+37
+00:03:24,810 --> 00:03:32,750
+على T final ناقص T initial T final T initial و T
+
+38
+00:03:32,750 --> 00:03:41,910
+final T initial اتنين second T final five secondطب
+
+39
+00:03:41,910 --> 00:03:47,930
+انت بيساوي اتنين second ال position x initial له
+
+40
+00:03:47,930 --> 00:03:56,850
+كان جداش عنده تلاتة يزن x initial تلاتة متر x
+
+41
+00:03:56,850 --> 00:03:59,950
+final and t final عند الخمسة second
+
+42
+00:04:03,660 --> 00:04:07,240
+X final بالساوية Zero بعد الخمس ثانوية ساكنت هو
+
+43
+00:04:07,240 --> 00:04:12,480
+متحرك للستة ثم رجع للتلاتة ثم انتقف عند التلاتة ثم
+
+44
+00:04:12,480 --> 00:04:16,540
+رجع للزيرو ثم راح بالسالق بعد الخمس ثوانية رجع
+
+45
+00:04:16,540 --> 00:04:21,900
+لايش لل X بالساوية Zero إذا X بالساوية Zero إذا
+
+46
+00:04:21,900 --> 00:04:26,220
+بقدر أقول ال average velocity بالساوية X final
+
+47
+00:04:26,220 --> 00:04:36,810
+Zero-3 على T final 5-2 سالب 1 متر على second
+
+48
+00:04:36,810 --> 00:04:39,830
+المطلوب
+
+49
+00:04:39,830 --> 00:04:45,810
+التاني هو average acceleration في ال interval من T
+
+50
+00:04:45,810 --> 00:04:50,610
+بساوية نص لT بساوية 2.5 نمسح هذا الكلام اول حاجة
+
+51
+00:04:50,610 --> 00:04:52,070
+انا حسبت ال average velocity
+
+52
+00:04:55,230 --> 00:04:58,550
+كانت قيمتها بالساوي من و لا وين من ال interval
+
+53
+00:04:58,550 --> 00:05:00,950
+اللي أعطانيها اتنين second لخمسة second تطلع عندى
+
+54
+00:05:00,950 --> 00:05:03,910
+سالب واحد meter per second الآن بدي أحسب ال
+
+55
+00:05:03,910 --> 00:05:09,070
+average acceleration ال curve عندى موجود ومحدد بس
+
+56
+00:05:09,070 --> 00:05:14,100
+ال curve يتعامل مع مين؟مع X مع ال position تتعامل
+
+57
+00:05:14,100 --> 00:05:17,560
+مع ال position لكن ال acceleration تتعامل مع ال
+
+58
+00:05:17,560 --> 00:05:22,020
+velocity اذا ال acceleration average acceleration
+
+59
+00:05:22,020 --> 00:05:28,400
+بتساوي V final ناقص V initial على T final ناقص T
+
+60
+00:05:28,400 --> 00:05:31,820
+initial الآن في مشكلة ال curve اللي عنده بين وين
+
+61
+00:05:31,820 --> 00:05:37,420
+بيحدد positionمع ال time لكن الاصل في عندي curve
+
+62
+00:05:37,420 --> 00:05:43,700
+تاني او اعمل curve تاني يحدد ايش ال V مع ال time
+
+63
+00:05:43,700 --> 00:05:48,640
+طب انا ال T initial اعطانيها و T final اعطانيها T
+
+64
+00:05:48,640 --> 00:05:55,520
+initial هي النص second و T final هي اتنين و نص
+
+65
+00:05:55,520 --> 00:06:02,560
+second بقدر اجيب V initial و V final وقداش قيمتهم
+
+66
+00:06:03,320 --> 00:06:13,160
+متر بير ساكنت وحدتهم ت بساوي نص هنا هاي النص ساكنت
+
+67
+00:06:13,160 --> 00:06:17,740
+بقدر احدد السرعة عند نص ساكنت في حدرة السابقة يعني
+
+68
+00:06:17,740 --> 00:06:22,220
+كأني بدي احدد السرعة اللحظية عن ت بساوي نص ساكنت
+
+69
+00:06:22,220 --> 00:06:26,100
+بقدر احدد السرعة اللحظية عن ت بساوي نص ساكنت بقدر
+
+70
+00:06:26,100 --> 00:06:31,500
+احددها ما هي عبارة عن ميلالمماس لكن هذا خط مستقيم
+
+71
+00:06:31,500 --> 00:06:35,500
+لذا ميل هذا الخط هو ميل المماس مش هي المستقل
+
+72
+00:06:35,500 --> 00:06:38,960
+الأولى لل position يعني بتشتغل ال position بالنسبة
+
+73
+00:06:38,960 --> 00:06:43,660
+للزمن طيب ميل الخط بقدر أحسبه من أي نقطين واقعات
+
+74
+00:06:43,660 --> 00:06:50,300
+على الخط لذا بقدر أقول V initial هي أيه عند نقطة T
+
+75
+00:06:50,300 --> 00:06:58,950
+بالساوية نص هي عبارة ستة- مين الخط هذا مين الخط
+
+76
+00:06:58,950 --> 00:07:05,890
+هذا هو عبارة عن ستة ناقص Zero على واحد ناقص Zero
+
+77
+00:07:05,890 --> 00:07:12,390
+بطلع ستة متر per second إذا ال V initial هنا بقدر
+
+78
+00:07:12,390 --> 00:07:16,830
+اكتبها ستة متر per second طيب نيجي الان V final
+
+79
+00:07:16,830 --> 00:07:23,110
+انتيبه ساوي اتنين و نص اتنين و نصإيش كانت السيارة
+
+80
+00:07:23,110 --> 00:07:28,910
+في اتنين و نص وين كان مكانها اتنين و نص هي ال
+
+81
+00:07:28,910 --> 00:07:34,650
+position تلاتة اتنين و نص سرعت هذا الجسم كان متوقف
+
+82
+00:07:34,650 --> 00:07:39,870
+يعني سرعته zero إذا السرعة هنا ما زال الجسم متوقف
+
+83
+00:07:39,870 --> 00:07:43,690
+إذا ال V final جديش قمتها Zero إذا ال V final صارت
+
+84
+00:07:43,690 --> 00:07:48,680
+اند Zero لأن الجسم واقفعند ال position اللي هو
+
+85
+00:07:48,680 --> 00:07:52,020
+قيمته تلاتة متر، ضال واجب فترة زمانية جدش قيمتها
+
+86
+00:07:52,020 --> 00:07:55,900
+من اتنين لتلاتة كان متوقف عند التلاتة متر، لذا
+
+87
+00:07:55,900 --> 00:08:01,060
+بقدر اجوب ال acceleration الآن بتساوي V final Zero
+
+88
+00:08:01,060 --> 00:08:06,380
+ناقص V initial ستة متر per second على T final
+
+89
+00:08:06,380 --> 00:08:12,260
+اتنين و نص ناقص نص second فبتطلع القيمة عندها ستة
+
+90
+00:08:12,260 --> 00:08:21,960
+بالماينسعلى اتنين وتساوي سالب تلاتة
+
+91
+00:08:21,960 --> 00:08:24,040
+متر بير ساكن دسكويا
+
+92
+00:08:26,990 --> 00:08:30,190
+سكوير اذا انا في هذه الحالة بقدر احدد ال
+
+93
+00:08:30,190 --> 00:08:33,330
+acceleration ال average acceleration و ال average
+
+94
+00:08:33,330 --> 00:08:37,350
+velocity في عند احتمالين اول حاجة ان يكون يعطيني
+
+95
+00:08:37,350 --> 00:08:40,970
+علاقة بين ال X و ال T من العلاقة اللي اعطانيها من
+
+96
+00:08:40,970 --> 00:08:44,290
+ال X و ال T بقدر احدد السرعات عند اي لحظة لان
+
+97
+00:08:44,290 --> 00:08:48,550
+السرعات تعتمد على ال position لكن بعد ذلك لما جالي
+
+98
+00:08:48,550 --> 00:08:51,590
+ال acceleration سيرتدور ع ال velocity يعني الاصل
+
+99
+00:08:51,590 --> 00:08:56,600
+يعطيني او يقول لي في curveبين ال V و بين ال T من
+
+100
+00:08:56,600 --> 00:08:59,740
+ال curve اللي بين ال V و بين ال T بقدر أحدد ال
+
+101
+00:08:59,740 --> 00:09:04,660
+acceleration طب لو قلنا أندي أنا جسم بتحرك بعلاقة
+
+102
+00:09:04,660 --> 00:09:08,280
+meter per second و هنا ال T بال second وهي العلاقة
+
+103
+00:09:08,280 --> 00:09:13,500
+خطية زي هيك إيش معناته؟ مين يفسرليها أو تفسيرها
+
+104
+00:09:13,500 --> 00:09:20,110
+إيش هي؟تفسير ال V إن في هذه الحالة علاقة خطية خط
+
+105
+00:09:20,110 --> 00:09:24,390
+مستقيم معناته ال acceleration قيمتها مالها
+
+106
+00:09:24,390 --> 00:09:25,530
+constant
+
+107
+00:09:27,760 --> 00:09:34,220
+خطيه يعني تزيد بمقدار مالها بمقدار ثابت خط مستقيم
+
+108
+00:09:34,220 --> 00:09:39,640
+بهذا الشكل معناته التسارع عند قيمته ثابتة معادلة
+
+109
+00:09:39,640 --> 00:09:43,460
+خط مستقيم أنا عارفها معادلة الخط المستقيم معادلة
+
+110
+00:09:43,460 --> 00:09:50,650
+الخط المستقيم Y بالساويةالواريس الموجودة في الوصف
+
+111
+00:09:50,650 --> 00:09:52,890
+الوصف الموجود في الوصف الموجود في الوصف الموجود في
+
+112
+00:09:52,890 --> 00:09:54,170
+الوصف الموجود في الوصف الموجود في الوصف الموجود في
+
+113
+00:09:54,170 --> 00:09:56,910
+الوصف الموجود في الوصف الموجود في الوصف الموجود في
+
+114
+00:09:56,910 --> 00:09:57,130
+الوصف الموجود في الوصف الموجود في الوصف الموجود في
+
+115
+00:09:57,130 --> 00:09:59,070
+الوصف الموجود في الوصف الموجود في الوصف الموجود في
+
+116
+00:09:59,070 --> 00:09:59,170
+الوصف الموجود في الوصف الموجود في الوصف الموجود في
+
+117
+00:09:59,170 --> 00:09:59,170
+الوصف الموجود في الوصف الموجود في الوصف الموجود في
+
+118
+00:09:59,170 --> 00:09:59,170
+الوصف الموجود في الوصف الموجود في الوصف الموجود في
+
+119
+00:09:59,170 --> 00:10:00,100
+الوصف الموجود في الوصف الموجود في الووقمتها
+
+120
+00:10:00,100 --> 00:10:03,640
+بالموجب لأنها زيادة طب لو كانت العلاقة عندنا ناخد
+
+121
+00:10:03,640 --> 00:10:07,360
+مجموعة من العلاقات وانا اقول بعد هيك اي علاقة
+
+122
+00:10:07,360 --> 00:10:11,100
+بتعبر عن acceleration موجبة اكسلاريشن سالبة
+
+123
+00:10:11,100 --> 00:10:16,500
+اكسلاريشن متغيرة اذا كانت العلاقة اول حاجة علاقة
+
+124
+00:10:16,500 --> 00:10:21,040
+بين ال V و بين ال T علاقة خطية علاقة خطية معناته
+
+125
+00:10:21,040 --> 00:10:26,620
+ال acceleration مالها؟ قولنا ثابتةطيب لو كانت
+
+126
+00:10:26,620 --> 00:10:30,100
+العلاقة عندى بين ال V بتر بير ساكنت مثلا و اتى
+
+127
+00:10:30,100 --> 00:10:37,240
+بالساكنت العلاقة زي هيكا علاقة خطية كمان ال
+
+128
+00:10:37,240 --> 00:10:41,280
+acceleration ثابتة طب إيش بتفرق ال acceleration في
+
+129
+00:10:41,280 --> 00:10:45,620
+الحالة الأولى عن الحالة التانية الحالة الأولى
+
+130
+00:10:45,620 --> 00:10:50,560
+positive الحالة التانية بتكون negative
+
+131
+00:10:52,030 --> 00:10:55,250
+لأن ميه الخط المستقل؟ متكلم عن الميل الميل في هذا
+
+132
+00:10:55,250 --> 00:10:59,230
+بالسالق طب لو كانت زي هيك العلاقة بين ال V و بين
+
+133
+00:10:59,230 --> 00:11:06,110
+ال T علاقة مش خطية علاقة زي هيك علاقة مثلا تربيعية
+
+134
+00:11:06,110 --> 00:11:10,470
+أو تكعبية لذن في هذه الحالة تتغير ال acceleration
+
+135
+00:11:10,470 --> 00:11:14,770
+بتغير الزمان لذن تعتمد في هذه الحالة ال
+
+136
+00:11:14,770 --> 00:11:18,710
+acceleration كأنها function في ال T تعتمد على
+
+137
+00:11:18,710 --> 00:11:23,150
+الزمانممكن تزيد و ممكن تجيل تبعا للمنحنة اللي
+
+138
+00:11:23,150 --> 00:11:25,770
+موجود عنده لذا في هذا الحال ممكن تكون ال
+
+139
+00:11:25,770 --> 00:11:29,450
+acceleration موجبة تكون سالبة ومانساش سالبة لأنها
+
+140
+00:11:29,450 --> 00:11:33,290
+تعتمد على اتجاه ال acceleration لما تكون عنده
+
+141
+00:11:33,290 --> 00:11:37,050
+الشكل بين العلاقة بين ال V و بين ال T علاقة بهذا
+
+142
+00:11:37,050 --> 00:11:41,290
+الشكل العلاقة معناتها ان ال acceleration تعتمد على
+
+143
+00:11:41,290 --> 00:11:46,690
+ال T طيب سؤال بدي اعطيكوايا لو كانت العلاقة عنده
+
+144
+00:11:46,690 --> 00:11:55,700
+بين ال Xو بين ال T متر per second و ال T بالمتر
+
+145
+00:11:55,700 --> 00:12:03,980
+بالمتر ال X بالمتر و ال T بالسكن علاقة خطية ال
+
+146
+00:12:03,980 --> 00:12:09,240
+acceleration جداش بالساوية حاجة تفكروا فيها و
+
+147
+00:12:09,240 --> 00:12:13,600
+حاولوا تكتبوها في التعليق ال acceleration جداش
+
+148
+00:12:13,600 --> 00:12:16,740
+بالساوية إذا كانت العلاقة بين ال X و بين ال T
+
+149
+00:12:16,740 --> 00:12:24,780
+علاقة خطيةواضح الآن نكمل في جزء اللي هو linear
+
+150
+00:12:24,780 --> 00:12:31,160
+linear motion with constant acceleration linear
+
+151
+00:12:31,160 --> 00:12:35,000
+motion with constant acceleration نمشح القديم كامل
+
+152
+00:12:55,640 --> 00:12:58,760
+لاحظوا أول حاجة الشرط بُلد constant acceleration
+
+153
+00:13:01,010 --> 00:13:05,650
+القوانين اللي هتطلعها في شرط مهم Constant
+
+154
+00:13:05,650 --> 00:13:10,330
+acceleration إذا لو في عندى جسم بتحرك uniform
+
+155
+00:13:10,330 --> 00:13:15,030
+motion with acceleration is constant كمرة مرة بأكد
+
+156
+00:13:15,030 --> 00:13:18,470
+عليها constant لما تكون ال acceleration constant
+
+157
+00:13:18,470 --> 00:13:23,650
+معنى ذلك إن السرعة تزداد بمقدار ماله مقدار ثابت لو
+
+158
+00:13:23,650 --> 00:13:30,890
+نعتبر ان الجسم بدأ من السكونهتكون عنده V وقول الـ
+
+159
+00:13:30,890 --> 00:13:36,750
+T الـ T بالساوي 0 هذا T initial T initial ان T
+
+160
+00:13:36,750 --> 00:13:42,690
+بالساوي 0 في عندي V initial واسميه V not ان T
+
+161
+00:13:42,690 --> 00:13:50,970
+final هتسميها T V final هي ال Vطب انا بعرف ال
+
+162
+00:13:50,970 --> 00:13:54,270
+acceleration ايه في الساوية V final ناقص V initial
+
+163
+00:13:54,270 --> 00:14:01,890
+على T final ناقص T initial V final V ناقص V
+
+164
+00:14:01,890 --> 00:14:08,730
+initial V naught على T final T minus zero اذا
+
+165
+00:14:08,730 --> 00:14:12,570
+بيطلع V ناقص V naught على T minus zero و بيضل عند
+
+166
+00:14:12,570 --> 00:14:18,390
+ال T ضرب تباقلةبتبتجي هنا عندى بيصير a في t بيساوي
+
+167
+00:14:18,390 --> 00:14:22,010
+v ناقص v not انقل ال v not على الطرف التانى اذا
+
+168
+00:14:22,010 --> 00:14:27,430
+بيصير ال v final بيساوي v not زائد a في t اذا ال v
+
+169
+00:14:27,430 --> 00:14:32,610
+final بيساوي v initial زائد ال acceleration في t
+
+170
+00:14:32,610 --> 00:14:36,730
+بس كمان مرة بقول ال acceleration مالها constant
+
+171
+00:14:36,730 --> 00:14:40,950
+لازم تكون acceleration constant زي مين؟زي عزيزي
+
+172
+00:14:40,950 --> 00:14:44,130
+الجاذبية الأرضية أو جسم بتحرك بسرعة ثابتة و يحدد
+
+173
+00:14:44,130 --> 00:14:46,890
+قيمة السرعة بقول في هذه الحالة السرعة مثلا واحد
+
+174
+00:14:46,890 --> 00:14:50,750
+متر per second بقول إن هذه السرعة ما لها قيمتها
+
+175
+00:14:50,750 --> 00:14:52,990
+ثابتة و أعطاني إياها قيمتها ثابتة أو يقول لي
+
+176
+00:14:52,990 --> 00:14:55,570
+أحيانا ممكن يكون average أقول ال average ما هي
+
+177
+00:14:55,570 --> 00:14:58,390
+كأنها احنا قلنا في المحاضرة السابقة ال average
+
+178
+00:14:58,390 --> 00:15:02,010
+كأنها عبارة عن سرعة ما لها ثابتة و في الأصل السرعة
+
+179
+00:15:02,010 --> 00:15:05,330
+ما لها بتتغير بتزيد و بتقل أو ال acceleration
+
+180
+00:15:05,330 --> 00:15:09,020
+بتزيد و بتقل لكن لما أخد ال average إلهاكأنه بقول
+
+181
+00:15:09,020 --> 00:15:14,040
+ال average كأنه وحدتهم زي ما أقول معدلاتكم كلها ال
+
+182
+00:15:14,040 --> 00:15:17,140
+range تبعكوا أو ال average إلكوا سبعين أو تمانين
+
+183
+00:15:17,140 --> 00:15:21,760
+ال average تمانين لكن هو فعليا في واحد تمانين وفي
+
+184
+00:15:21,760 --> 00:15:25,480
+واحد تسعين وفي واحد ستين لكن ال average كأنه قلت
+
+185
+00:15:25,480 --> 00:15:30,120
+كلكوا معلكوا متساوين كلكوا أخدتوا نفس المعدل كلكوا
+
+186
+00:15:30,120 --> 00:15:34,220
+نفس القيمة قيمتكوا معاها قيمتها ثابتة لذا في هذا
+
+187
+00:15:34,220 --> 00:15:38,770
+الحال بقول ال average كأنه قيمة ثابتةطب الآن هذه
+
+188
+00:15:38,770 --> 00:15:42,470
+معادلة رقم واحد ومعادلة رقم واحد لمين لان ال
+
+189
+00:15:42,470 --> 00:15:46,890
+linear motion تتحرك ب constant acceleration طيب في
+
+190
+00:15:46,890 --> 00:15:51,930
+عندي علاء لما اقول constant acceleration جسم بتحرك
+
+191
+00:15:51,930 --> 00:15:57,470
+ب constant acceleration سرعته zero بعد ثانية صار
+
+192
+00:15:57,470 --> 00:16:01,830
+سرعته اتنين ال acceleration بساوة اتنين متر per
+
+193
+00:16:01,830 --> 00:16:08,480
+second squaredبعد زمن قيمته ثانية أصارت اتنين بعد
+
+194
+00:16:08,480 --> 00:16:15,040
+زمن قيمته ثانية ثانية أصارت أربعة بعد زمن قيمته
+
+195
+00:16:15,040 --> 00:16:20,240
+ثانية أصارت ستة وببدأ يزيد بمقدار ماله مقدار
+
+196
+00:16:20,240 --> 00:16:28,740
+تمانية عشرة وهكذا لذن هنا السرعة السرعة مع الزمن
+
+197
+00:16:29,580 --> 00:16:34,160
+الزمان Zero هنا بعد ثانية بعد ثانيتين تلاتة أربعة
+
+198
+00:16:34,160 --> 00:16:40,680
+خمس ثواني صار سرعته قيمتها بعد خمس ثواني عشرة متر
+
+199
+00:16:40,680 --> 00:16:45,520
+per second طيب لو أنا قلت بد ال average للسرعة
+
+200
+00:16:45,520 --> 00:16:51,200
+average للسرعة دي واحد يحسب كم ممكن أحسبها ال
+
+201
+00:16:51,200 --> 00:16:57,440
+average عشرةهنا عندي zero طبعاً زيادة مالها
+
+202
+00:16:57,440 --> 00:17:02,180
+متتابعة حسابية ال average إلها إيش بيكون أو زي
+
+203
+00:17:02,180 --> 00:17:08,700
+المتوسط حسابي عشر أو زيرو نهاية و ابتدائي على جداش
+
+204
+00:17:08,700 --> 00:17:14,690
+عتنين تطلع ال average جداش قمتها خمسةالـ Average
+
+205
+00:17:14,690 --> 00:17:18,610
+هنا بقدر احسب الـ Average بس بشرط اكسلاريشن مالها
+
+206
+00:17:18,610 --> 00:17:23,430
+كمان مرة بأكد عليها اكسلاريشن constant الـ Average
+
+207
+00:17:23,430 --> 00:17:27,670
+بقدر احسبها كالوسط الحساب هي عبارة عن السرعة
+
+208
+00:17:27,670 --> 00:17:31,350
+النهائية زي السرعة الابتدائية على جداش على اتنين
+
+209
+00:17:31,350 --> 00:17:35,010
+اذا السرعة الابتدائية زي السرعة النهائية على اتنين
+
+210
+00:17:35,010 --> 00:17:38,190
+الـ Average جداش قيمته في هذه الحالة هي الخمسة متر
+
+211
+00:17:38,190 --> 00:17:44,120
+per second squaredمثلًا، واحد، تلاتة، خمسة، سبعة
+
+212
+00:17:46,840 --> 00:17:50,460
+تسعة نفس الاشي ال acceleration اتنين meter per
+
+213
+00:17:50,460 --> 00:17:53,880
+second لكن مابدأش من السكون بدأ من واحد بعد فترة
+
+214
+00:17:53,880 --> 00:17:56,380
+بيصير تلاتة meter per second خمسة meter per second
+
+215
+00:17:56,380 --> 00:17:58,900
+سبعة meter per second تسعة meter per second لو
+
+216
+00:17:58,900 --> 00:18:01,840
+قلتلك ال average من أول نظرة هتقولي جديش ال
+
+217
+00:18:01,840 --> 00:18:06,220
+average قيمتها خمسة كيف بدي اجيبها واحد وتسعة على
+
+218
+00:18:06,220 --> 00:18:11,020
+اتنين مابتعطيني ال average او بطريقة مجموعة القيام
+
+219
+00:18:11,020 --> 00:18:15,920
+على ايشمجموعة القيم على عدن بقى بجيب متوسط الحساب
+
+220
+00:18:15,920 --> 00:18:19,360
+الآن هذا اللي هو ال average يقدر تحدد ال average
+
+221
+00:18:19,360 --> 00:18:23,560
+إذا كانت كمان مرة بقول شرطها acceleration constant
+
+222
+00:18:23,560 --> 00:18:27,460
+طيب من المعادلة هذه الموجودة عند ال average إيش
+
+223
+00:18:27,460 --> 00:18:31,740
+بالساوي كمان معادلة سابقة مش بالساوي X final ناقص
+
+224
+00:18:31,740 --> 00:18:35,160
+X initial على T final ناقص T initial وT initial جد
+
+225
+00:18:35,160 --> 00:18:40,750
+إيش قلنا بنبدأ من السكون او Delta Tوهذا بد
+
+226
+00:18:40,750 --> 00:18:44,870
+معادلتين واحد واتنين إذا كأن بقول ال V average
+
+227
+00:18:44,870 --> 00:18:50,250
+إلها معادل و معادل تانية والتانيتين سويتهم مع بعض
+
+228
+00:18:50,250 --> 00:18:56,970
+لما سويتهم مع بعض من المعادلتين بقدر أطلع معادل
+
+229
+00:18:56,970 --> 00:19:04,610
+اجديد هذه معادل رقم اتنين معادل رقم اتنين
+
+230
+00:19:08,060 --> 00:19:12,120
+طبعا انا عوضت عن قيمة ال V ال V هي حسبناها من
+
+231
+00:19:12,120 --> 00:19:18,040
+معادل هادر V naught زي F T زي V naught على اتنين و
+
+232
+00:19:18,040 --> 00:19:24,460
+هنا V and X ناقص X naught يعني من هنا و من هادربقى
+
+233
+00:19:24,460 --> 00:19:28,520
+ارتب المعادلة فقط بتطلع عند معادلة جديدة X final
+
+234
+00:19:28,520 --> 00:19:33,980
+ناقص X initial V naught في T زائد نص A T تربيع اذا
+
+235
+00:19:33,980 --> 00:19:39,300
+كانت ال T لحظة البداية هي ال Zero دائما انا باخدها
+
+236
+00:19:39,300 --> 00:19:43,180
+من لحظة البداية هي ال Zero عندى حتى ما اكتبش Delta
+
+237
+00:19:43,180 --> 00:19:47,460
+T هذا معادلة رقم اتنين لاحظوا في معادلة رقم اتنين
+
+238
+00:19:47,460 --> 00:19:51,470
+لو اعتبرت ال position عندى قيمة ال Zeroيعني الجسم
+
+239
+00:19:51,470 --> 00:19:55,210
+بدأ من ايش؟ من نقطة الأصل بيصير المعادلة عند X
+
+240
+00:19:55,210 --> 00:20:03,980
+بالساوية V0 في T و V0 هي نقشة زائد نصAT² هذا معادل
+
+241
+00:20:03,980 --> 00:20:07,480
+رقم اتنين إذا قلنا الـ X initial اللي بدأ منها
+
+242
+00:20:07,480 --> 00:20:12,340
+قيمتها Zero زي ال T initial Zero هو كان ال X
+
+243
+00:20:12,340 --> 00:20:17,660
+initial أخد نقطة البدء عنده هي ال Zero لو كان في
+
+244
+00:20:17,660 --> 00:20:20,480
+نقطة بدء قيمتها تلاتة أنا بعود عنها بنفس القيمة
+
+245
+00:20:20,480 --> 00:20:26,760
+بدأش من ال origin أخدت قياس تاني أو مرحلة تانية
+
+246
+00:20:26,760 --> 00:20:32,260
+ببدأ منهاطب نيجي للمعادلة الرقم تلاتة المعادلة
+
+247
+00:20:32,260 --> 00:20:35,880
+الرقم تلاتة اللي بالزمن يمكن تذكرني ان انتوا تلت
+
+248
+00:20:35,880 --> 00:20:40,380
+معادلات لما كنتوا تسموها N و N صفر و N شرط او بهذا
+
+249
+00:20:40,380 --> 00:20:45,340
+الشكل كان فيها انتوا تلت معادلات تسموها تلت معادلة
+
+250
+00:20:45,340 --> 00:20:50,360
+الحركة و تلت معادلة الحركة لما كنا نقول شرط فيها
+
+251
+00:20:50,360 --> 00:20:55,840
+acceleration بالساوية H0الاهم المعادلة 1 هي T
+
+252
+00:20:55,840 --> 00:20:59,900
+بساوي V ناقص V نقطة على A والمعادلة اللي جابل ال
+
+253
+00:20:59,900 --> 00:21:05,100
+22 بس بدخلهم في بعض X ناقص X نقطة قيمة T في
+
+254
+00:21:05,100 --> 00:21:09,140
+المعادلة السابقة اللي هنا لو طلعنا على المعادلة
+
+255
+00:21:09,140 --> 00:21:15,680
+قيمة T بعوض عنها المعادلة هذه بعوض عن قيمة T بتطلع
+
+256
+00:21:15,680 --> 00:21:22,810
+عند المعادلة النهائية اللي هي رقم 3علاقة بين V
+
+257
+00:21:22,810 --> 00:21:29,530
+Square V Final Square V Initial Square زائد 2A في
+
+258
+00:21:29,530 --> 00:21:34,470
+X ناقص X أو في Delta X هذه معادلة رقم تلت، إذا
+
+259
+00:21:34,470 --> 00:21:38,550
+الان في عندي تلت معادلات وماأنساش ال average أيش
+
+260
+00:21:38,550 --> 00:21:42,270
+بالساوي كمان ممكن أضيفها ال average velocity
+
+261
+00:21:42,270 --> 00:21:50,360
+بتساوي V زائد V naught على اتنىممكن تلزمني لأن
+
+262
+00:21:50,360 --> 00:21:54,720
+ماهيش الشرط ال acceleration مالها كمان مرة بأذكر
+
+263
+00:21:54,720 --> 00:21:58,600
+أنها لازم تقول السؤال انها constant او uniform
+
+264
+00:21:58,600 --> 00:22:03,300
+acceleration uniform motion with acceleration is
+
+265
+00:22:03,300 --> 00:22:06,900
+constant طبعا هذه معادلات الحركة التلاتة إذا
+
+266
+00:22:06,900 --> 00:22:10,060
+معادلات الحركة التلاتة للتذكير الآن انا هاتبهم
+
+267
+00:22:10,060 --> 00:22:17,060
+للتذكير اول معادلة اللي هي V final
+
+268
+00:22:18,910 --> 00:22:23,810
+V final بيساوي V initial زائد A في T المعادلة
+
+269
+00:22:23,810 --> 00:22:28,670
+التانية بتتكلم عن إزاحة X ناقص X naught بيساوي V
+
+270
+00:22:28,670 --> 00:22:35,050
+naught في T plus نص A T square آخر معادلة عندي
+
+271
+00:22:35,050 --> 00:22:39,390
+اللي موجودة قدامي V square هذا V final square V
+
+272
+00:22:39,390 --> 00:22:46,540
+initial square زائد 2A X minus X naughtكمان مرة
+
+273
+00:22:46,540 --> 00:22:49,480
+بقول acceleration نوّهت عليها في المحاضرة السابقة
+
+274
+00:22:49,480 --> 00:22:55,840
+ال acceleration قيمتها ممكن تكون موجبة وممكن تكون
+
+275
+00:22:55,840 --> 00:23:00,140
+سالبة بعبّر عنها ليه اتجاه إلها كانت موجب و لا كان
+
+276
+00:23:00,140 --> 00:23:05,140
+سالب يعني السرعة النهائية ممكن تزداد إذا كانت ال
+
+277
+00:23:05,140 --> 00:23:07,400
+acceleration بنفس اتجاه الحركة الابتدائية أو
+
+278
+00:23:07,400 --> 00:23:09,920
+السرعة الابتدائية وممكن تقل إذا كانت ال
+
+279
+00:23:09,920 --> 00:23:15,710
+acceleration عكس اتجاهالـ acceleration عكس اتجاه
+
+280
+00:23:15,710 --> 00:23:18,330
+الحركة اللي بتزيد اذا ممكن تزيد و ممكن تصل ال
+
+281
+00:23:18,330 --> 00:23:24,090
+final velocity لل zero في أي استفسار طبعا نيجي لو
+
+282
+00:23:24,090 --> 00:23:27,910
+انا بده احل اي مثل مش هنذكر طرق الحل هي موجودة
+
+283
+00:23:27,910 --> 00:23:31,850
+عندى لو بده احل اي مثلة بس بده اذكر انه كان من
+
+284
+00:23:31,850 --> 00:23:38,910
+حاجة عندى عندى اول حاجة ال X ال position عندىالـ A
+
+285
+00:23:38,910 --> 00:23:45,610
+أو الـ T عندي الـ V Final و V Initial و عندي كمان
+
+286
+00:23:45,610 --> 00:23:50,670
+الـ Acceleration لو جيت أعدهم واحد، اتنين، تلاتة،
+
+287
+00:23:50,670 --> 00:23:56,730
+أربعة، خمس حتى أقدر أحددهم لازم يعطيني التلات
+
+288
+00:23:56,730 --> 00:24:03,390
+أشياء أي تلاتة بيعطيني التلات أشياء بقدر من خلالها
+
+289
+00:24:03,390 --> 00:24:07,360
+أجيب الحاجتين المتبقية إذا عندي كلهم خمس أشياءالتي
+
+290
+00:24:07,360 --> 00:24:09,280
+هي سرعة ابتدائية و سرعة نهائية
+
+291
+00:24:14,150 --> 00:24:16,770
+إذا انا او ال displacement او الإزاحة الموجودة
+
+292
+00:24:16,770 --> 00:24:21,750
+عندنا Delta X إذا ممكن يعطيني تلاتة منهم أقدر أحسب
+
+293
+00:24:21,750 --> 00:24:25,530
+الحاجتين المتبقية لما تيجي تحليل المثالة أول حاجة
+
+294
+00:24:25,530 --> 00:24:31,070
+حط المحطيات إذا رقم واحد إيش مايعطيك السؤال وحدد
+
+295
+00:24:31,070 --> 00:24:36,710
+نقطة البداية X initial إذا حدد لل origin أول حاجة
+
+296
+00:24:36,710 --> 00:24:40,330
+أول حاجة بيلزمك ال origin بعد ما تحدد ال origin
+
+297
+00:24:40,330 --> 00:24:45,330
+بدي اتحدد ال vector quantityالذي يعطيني الخمس
+
+298
+00:24:45,330 --> 00:24:48,550
+أشياء طبعا ال vector quantity عندي تلت أشياء واندي
+
+299
+00:24:48,550 --> 00:24:53,310
+scalar اللي هو ال time سكالر ال time بحددهم و ال
+
+300
+00:24:53,310 --> 00:24:56,430
+direction عندي ال direction وين اتجاههم و الموجب
+
+301
+00:24:56,430 --> 00:24:59,390
+سالب او ال direction لل acceleration و بحدد ال
+
+302
+00:24:59,390 --> 00:25:03,120
+direction وين موجب و وين سالبيعني اتجاه اللي بدي
+
+303
+00:25:03,120 --> 00:25:07,480
+اخد الكميات المتجهة فيه بالموجب وين اتجاههم
+
+304
+00:25:07,480 --> 00:25:10,980
+والكميات المتجهة بدي اخدها بالسالب وين اتجاههم
+
+305
+00:25:10,980 --> 00:25:14,060
+يعني انا اخد هذا الاتجاه هو الموجب ال gate ال
+
+306
+00:25:14,060 --> 00:25:18,860
+acceleration عكسها بعوض عنها ايش بالسالب ال gate
+
+307
+00:25:18,860 --> 00:25:23,740
+ال V finally طلعت معايا بالسالب ايش معناته V
+
+308
+00:25:23,740 --> 00:25:28,310
+initial بالموجبلكن فيه final طلعت معايا بالسالب
+
+309
+00:25:28,310 --> 00:25:33,950
+مثلا طلعت بالسالب معناته صارت في الاتجاه المعاكس
+
+310
+00:25:33,950 --> 00:25:38,390
+لإن السالب إشارة لم يتعبر عن اتجاه إذا الجسم كان
+
+311
+00:25:38,390 --> 00:25:41,790
+يتحرك بهذا الاتجاه طبقت عليه acceleration مالها
+
+312
+00:25:41,790 --> 00:25:47,080
+constant acceleration إيه صار عنده؟بعد ما جيت أحسب
+
+313
+00:25:47,080 --> 00:25:52,100
+حساباتي لجيت ال velocity ال final بالسالب مثلا ال
+
+314
+00:25:52,100 --> 00:25:55,260
+final velocity بالسالب معناته الجسم عكس اتجاه و
+
+315
+00:25:55,260 --> 00:26:00,240
+هذا منطقي و أمثلة كتير عليها ارمي الجسم لفوق رميت
+
+316
+00:26:00,240 --> 00:26:05,020
+الجسم لفوق بعد شوية ارتد هيك اتجاهها موجب لأعلى
+
+317
+00:26:05,020 --> 00:26:09,680
+لكن لما جيت أحسب الصوعة النهائية لجيتها بالسالب
+
+318
+00:26:09,680 --> 00:26:16,370
+ايش معناته الجسم نازلعشان هي أطلع معايا إشارة
+
+319
+00:26:16,370 --> 00:26:23,290
+بالسلم بإختار ال equation المناسبةلحل هذه المسألة
+
+320
+00:26:23,290 --> 00:26:28,150
+اذا اول حاجة بدي اختار .. بدي اجرى السؤال و افهم
+
+321
+00:26:28,150 --> 00:26:32,250
+السؤال رقم واحد فهم السؤال الفهم هو اول حاجة لحل
+
+322
+00:26:32,250 --> 00:26:36,370
+المسألة رقم اتنين بدي ابدا بعد ما افهم السؤال احدد
+
+323
+00:26:36,370 --> 00:26:39,950
+موضوع ابتدائي و موضوع نهائي اخد ال origin point
+
+324
+00:26:39,950 --> 00:26:44,550
+بعد هيك بدي احدد اتجاه ال positive direction اتجاه
+
+325
+00:26:44,550 --> 00:26:47,650
+الموجب وين اتجاه الموجب؟ بهذا الشكل ولا بهذا
+
+326
+00:26:47,650 --> 00:26:51,280
+الشكل؟ انت بتحدده طبعاهو انا بتوقع دايما تاخد لا
+
+327
+00:26:51,280 --> 00:26:56,180
+فوق بالموجب لا تحت بالسالب على اليمين موجب اليسار
+
+328
+00:26:56,180 --> 00:27:00,160
+اشماله سالب بعدين بحدد الكيميات الفيزيائية اللي
+
+329
+00:27:00,160 --> 00:27:04,080
+عندي و ال direction اللي لها بعد هيك system اللي
+
+330
+00:27:04,080 --> 00:27:08,540
+انا بستخدمه the same system هذه نقطة بيقع فيها تير
+
+331
+00:27:08,540 --> 00:27:13,520
+من الطلبة و الطلبات طبعا اللي هو ياخد ال system
+
+332
+00:27:15,020 --> 00:27:17,680
+بتطلع معايا الـ system يكون مختلف ميغيروش الـ
+
+333
+00:27:17,680 --> 00:27:23,110
+system إذا أنا غيرت في الـ كيلومتربير اوار بنفعش
+
+334
+00:27:23,110 --> 00:27:26,410
+اتخلّي الفلسفة بالكيلومتر بير اوار وحدتها لازم
+
+335
+00:27:26,410 --> 00:27:29,550
+تقول هنا الكيلومتر بدي احوله لمتر يعني بدي اقول هو
+
+336
+00:27:29,550 --> 00:27:35,770
+الف متر ع ال hour هي ستين في ستين لإن ممكن اجد
+
+337
+00:27:35,770 --> 00:27:38,390
+الوحدة التانية اللي ماتينيها في final في initial
+
+338
+00:27:38,390 --> 00:27:43,330
+او ماتيني المزاحة بالمتر بنفعليها بحول الإزاحات
+
+339
+00:27:43,330 --> 00:27:50,850
+كلها بالكيلومتر والساعةأو بحول الكيلومتر لمتر
+
+340
+00:27:50,850 --> 00:27:57,090
+والساعة لمين لسكن ستين ساعة ستين دقيقة في ستين
+
+341
+00:27:57,090 --> 00:28:03,930
+ثانية فبقول انا حولت الكيلومتر لمين لمتر متر بير
+
+342
+00:28:03,930 --> 00:28:07,710
+سكن طلع معاياإذا ال kilometer per second فيه كتير
+
+343
+00:28:07,710 --> 00:28:11,750
+من المسائل بيعطيهم سرعه سيارة بال kilometer per
+
+344
+00:28:11,750 --> 00:28:16,330
+hour بيعطيهم المسافة والزمن بال second و بال متر
+
+345
+00:28:16,330 --> 00:28:20,910
+فهو ده واحد الأنظمة اللي أنا بستخدمها لل unit بعد
+
+346
+00:28:20,910 --> 00:28:24,970
+هيك بستخدم معادلة مناسبة بحيث التلت أشياء اللي
+
+347
+00:28:24,970 --> 00:28:29,910
+أعطانيها في المعادلة في السؤال ألاجيهم قدامي في
+
+348
+00:28:29,910 --> 00:28:34,070
+المعادلة أحيانا ممكن تختار تحتاج لحل معادلتين مع
+
+349
+00:28:34,070 --> 00:28:43,700
+بعضنحاول ننهي بهذا المثال المثال بيقول انه في عنده
+
+350
+00:28:43,700 --> 00:28:49,910
+car starts سيارة بدأت from restوبدأت تتحرك لاحظوا
+
+351
+00:28:49,910 --> 00:28:55,010
+الكلام constant acceleration اذا اول حاجة جالس
+
+352
+00:28:55,010 --> 00:28:59,870
+سيارة وذاكر uniform constant acceleration اذا ما
+
+353
+00:28:59,870 --> 00:29:03,430
+زال جالي constant acceleration المعادلات اللي هنا
+
+354
+00:29:03,430 --> 00:29:06,390
+او مانساش في ال average كمان المعادلة ممكن تلزم
+
+355
+00:29:06,390 --> 00:29:11,410
+نقل V زائد V naught على اتنينلذن ميزان جالي
+
+356
+00:29:11,410 --> 00:29:15,130
+اكسلاريشن ميدي اختار معادل من هذه المعادلات after
+
+357
+00:29:15,130 --> 00:29:19,670
+12 second الفلوستيك صارت جداش قيمتها اذا هو كان
+
+358
+00:29:19,670 --> 00:29:24,490
+اعطاني V final لذن اول حاجة قولت انا باجي بقى اقول
+
+359
+00:29:24,490 --> 00:29:34,950
+V final جداش قيمتها؟ 120 متر per second خلال زمن
+
+360
+00:29:34,950 --> 00:29:38,010
+قدره كده؟ 12 ثانية
+
+361
+00:29:43,820 --> 00:29:46,880
+Find the acceleration أول حاجة جيبلي الـ
+
+362
+00:29:46,880 --> 00:29:50,520
+acceleration لكن طلع على المسألة Start from إيش
+
+363
+00:29:50,520 --> 00:29:54,280
+Rest إيش معناتها V initial أو V naught بالساوية
+
+364
+00:29:54,280 --> 00:29:57,400
+Zero لذا V naught بالساوية Zero خلوا هذا ال V
+
+365
+00:29:57,400 --> 00:30:02,400
+بناشر دي تبقى رمو أكتر من رمزفي واحد اتنين تلت
+
+366
+00:30:02,400 --> 00:30:03,360
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+367
+00:30:03,360 --> 00:30:03,380
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+368
+00:30:03,380 --> 00:30:03,560
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+369
+00:30:03,560 --> 00:30:05,840
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+370
+00:30:05,840 --> 00:30:10,760
+اتنين اتنين اتنين اتنين اتنين
+
+371
+00:30:10,760 --> 00:30:17,000
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+372
+00:30:17,000 --> 00:30:25,840
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+373
+00:30:25,840 --> 00:30:31,540
+اتفيها ال V و ال V0 و ال T ايش اللي دا المجهول
+
+374
+00:30:31,540 --> 00:30:37,040
+عنده قيمة ال A اذا ال A بيساوي V ناقص V0 على T ال
+
+375
+00:30:37,040 --> 00:30:41,160
+V عطانيها 120 هيها موجودة عنده و ال V0 0 على 12
+
+376
+00:30:41,160 --> 00:30:47,600
+تطلع عشرة متر per second find the distance we used
+
+377
+00:30:47,600 --> 00:30:51,900
+ايش المسافر اللي قطعها السيارة طبعا انا بتكلم في
+
+378
+00:30:51,900 --> 00:30:57,820
+linear motion اذا في هذه الحالة ال Xهي X ناقص X0
+
+379
+00:30:57,820 --> 00:31:05,040
+الـ X ناقص ناقص
+
+380
+00:31:05,040 --> 00:31:08,400
+X ناقص X ناقص X ناقص X ناقص X ناقص X ناقص X ناقص X
+
+381
+00:31:08,400 --> 00:31:14,760
+ناقص X ناقصنص a ال a حسبتها يداش طلعت اندي عشرة
+
+382
+00:31:14,760 --> 00:31:18,500
+متر per second square في T square معطني يهم كلهم
+
+383
+00:31:18,500 --> 00:31:22,880
+بطلع قيمتها بطلع سبعمائه عشرين متر per second
+
+384
+00:31:22,880 --> 00:31:27,080
+بيعطيكوا العافية و لمحاضرة جاي بنكمل ال free
+
+385
+00:31:27,080 --> 00:31:30,910
+fallingالـ free falling اللي هو على نفس الموضوع
+
+386
+00:31:30,910 --> 00:31:35,190
+ولكن حالة خاصة منه ان ال acceleration اتجاه لوين
+
+387
+00:31:35,190 --> 00:31:39,590
+لأسفل وهي اتجاه ال acceleration هي عجلة الجاذبية
+
+388
+00:31:39,590 --> 00:31:42,350
+الأرضية يعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/3T6Djlg94QI_raw.json b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/3T6Djlg94QI_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..4b7e0c878aaf730c6c5bf29bd1a5816187275991
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/3T6Djlg94QI_raw.json
@@ -0,0 +1 @@
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"probability": 0.98974609375}, {"start": 728.76, "end": 729.26, "word": " Fs", "probability": 0.808837890625}, {"start": 729.26, "end": 729.8, "word": " فوق", "probability": 0.931396484375}, {"start": 729.8, "end": 730.56, "word": " هنا", "probability": 0.316650390625}, {"start": 730.56, "end": 731.44, "word": " ممكن", "probability": 0.954833984375}, {"start": 731.44, "end": 731.56, "word": " ما", "probability": 0.603515625}, {"start": 731.56, "end": 731.86, "word": " تكونش", "probability": 0.8756510416666666}, {"start": 731.86, "end": 732.24, "word": " maximum", "probability": 0.91748046875}], "temperature": 1.0}, {"id": 30, "seek": 74409, "start": 733.01, "end": 744.09, "text": "ماكسيمال يكون فقط على وشك الانزل لأن التاني انزل يقع بالنسبة للأول لان يمكن يكون هنا يتحركوا مع بعض", "tokens": [15042, 4117, 3794, 32640, 6027, 7251, 30544, 6156, 47432, 15844, 4032, 8592, 4117, 2423, 7649, 11622, 1211, 5296, 33456, 16712, 7649, 1829, 16472, 11622, 1211, 7251, 4587, 3615, 20666, 1863, 35457, 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"probability": 0.88916015625}, {"start": 1363.51, "end": 1364.21, "word": " بتلاحظوا", "probability": 0.97587890625}, {"start": 1364.21, "end": 1364.67, "word": " ان", "probability": 0.771484375}, {"start": 1364.67, "end": 1364.91, "word": " لما", "probability": 0.943603515625}, {"start": 1364.91, "end": 1365.21, "word": " ارسم", "probability": 0.9464518229166666}, {"start": 1365.21, "end": 1365.33, "word": " ال", "probability": 0.98828125}, {"start": 1365.33, "end": 1365.51, "word": " free", "probability": 0.9765625}, {"start": 1365.51, "end": 1365.73, "word": " body", "probability": 0.88720703125}, {"start": 1365.73, "end": 1366.09, "word": " diagram", "probability": 0.95068359375}, {"start": 1366.09, "end": 1366.49, "word": " بتلاقي", "probability": 0.8445638020833334}, {"start": 1366.49, "end": 1366.91, "word": " المسألة", "probability": 0.9373779296875}, {"start": 1366.91, "end": 1367.23, "word": " مالها", "probability": 0.755859375}, {"start": 1367.23, "end": 1367.41, "word": " ما", "probability": 0.80810546875}, {"start": 1367.41, "end": 1367.55, "word": " هي", "probability": 0.73828125}, {"start": 1367.55, "end": 1367.77, "word": " اللي", "probability": 0.54345703125}, {"start": 1367.77, "end": 1368.23, "word": " صارت", "probability": 0.8253580729166666}], "temperature": 1.0}, {"id": 55, "seek": 137575, "start": 1368.81, "end": 1375.75, "text": "حل بسيط جدا ممكن اتعامل معاه بسهولة يعطيكوا العافية و ربنا يوفقكوا و يسعدكوا", "tokens": [5016, 1211, 4724, 3794, 1829, 9566, 10874, 28259, 3714, 43020, 1975, 2655, 3615, 10943, 1211, 20449, 40294, 4724, 3794, 3224, 12610, 3660, 37495, 9566, 1829, 4117, 14407, 18863, 31845, 10632, 4032, 12602, 3555, 8315, 7251, 38688, 4587, 4117, 14407, 4032, 7251, 3794, 22488, 4117, 14407], "avg_logprob": -0.12686820943718372, "compression_ratio": 1.404040404040404, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1368.81, "end": 1369.15, "word": "حل", "probability": 0.956298828125}, {"start": 1369.15, "end": 1369.91, "word": " بسيط", "probability": 0.9691162109375}, {"start": 1369.91, "end": 1370.25, "word": " جدا", "probability": 0.99658203125}, {"start": 1370.25, "end": 1370.73, "word": " ممكن", "probability": 0.939453125}, {"start": 1370.73, "end": 1371.59, "word": " اتعامل", "probability": 0.9013671875}, {"start": 1371.59, "end": 1371.91, "word": " معاه", "probability": 0.991943359375}, {"start": 1371.91, "end": 1372.55, "word": " بسهولة", "probability": 0.97001953125}, {"start": 1372.55, "end": 1373.23, "word": " يعطيكوا", "probability": 0.7800537109375}, {"start": 1373.23, "end": 1373.71, "word": " العافية", "probability": 0.9549153645833334}, {"start": 1373.71, "end": 1373.89, "word": " و", "probability": 0.8037109375}, {"start": 1373.89, "end": 1374.27, "word": " ربنا", "probability": 0.96875}, {"start": 1374.27, "end": 1375.21, "word": " يوفقكوا", "probability": 0.78857421875}, {"start": 1375.21, "end": 1375.31, "word": " و", "probability": 0.98388671875}, {"start": 1375.31, "end": 1375.75, "word": " يسعدكوا", "probability": 0.9205078125}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1375.8984375, "duration_after_vad": 1319.3806249999998}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/982fukVNawc.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/982fukVNawc.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e4fd766690ac0477f8488a4a64e95229ad0dc926
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/982fukVNawc.srt
@@ -0,0 +1,895 @@
+1
+00:00:05,670 --> 00:00:08,710
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,710 --> 00:00:15,350
+وبركاته، وكل عام وأنتم بخير، وربنا يوفقكم
+
+3
+00:00:15,350 --> 00:00:20,250
+... يوفقكم أنتم  الصحة والعافية. اليوم أنا بشرح
+
+4
+00:00:20,250 --> 00:00:24,590
+الرقم خمسة، بشرح الرقم خمسة، اللي هو بتكلم عن
+
+5
+00:00:24,590 --> 00:00:28,770
+الـcircular motion، الـcircular motion مرت علينا قبل
+
+6
+00:00:28,770 --> 00:00:35,980
+ذلك، عشان نتذكر. في شرح رقم ثلاثة، شرح ثلاثة مرت
+
+7
+00:00:35,980 --> 00:00:38,940
+علينا الـcircular motion، اليوم هناخدها بتفاصيل
+
+8
+00:00:38,940 --> 00:00:43,400
+أكثر، وهنحل عليها مجموعة من الأسئلة. قبل ما أتكلم
+
+9
+00:00:43,400 --> 00:00:47,580
+عن الـcircular motion، في  إنتهاج اسمها centripetal
+
+10
+00:00:47,580 --> 00:00:52,300
+force، اللي هي القوة المركزية، القوة المركزية اللي
+
+11
+00:00:52,300 --> 00:00:56,660
+بنتعرف عليها في بداية هذا الـchapter. طبعاً احنا
+
+12
+00:00:56,660 --> 00:01:00,660
+عارفين الـcentripetal force اللي مرت علينا في
+
+13
+00:01:00,660 --> 00:01:04,380
+الـcentripetal acceleration اللي مرت علينا في chapter
+
+14
+00:01:04,380 --> 00:01:09,060
+ثلاثة، وإذا ذاكرين كانت قيمتها = V تربيع على R
+
+15
+00:01:09,060 --> 00:01:14,150
+وسميناها a<sub>R</sub>. اليوم هناخد نفس الأشياء. لو أنا عندي
+
+16
+00:01:14,150 --> 00:01:18,470
+particle، أي particle بتتحرك بـconstant، شرط مهم
+
+17
+00:01:18,470 --> 00:01:25,410
+constant، أيش speed، بتتحرك بـconstant speed، constant
+
+18
+00:01:25,410 --> 00:01:31,110
+speed، لكن بتتحرك في أيش؟ circular path، مسار دائري
+
+19
+00:01:31,110 --> 00:01:36,510
+مسار دائري، ونصف قطره قيمته r، يعني بتتحرك بهذا
+
+20
+00:01:36,510 --> 00:01:42,620
+الشكل، مسار دائري، ونصف قطره r. في عندي نقطة
+
+21
+00:01:42,620 --> 00:01:47,380
+بده أوضحها. قلت أيش ماله؟ constant speed، يعني أنا
+
+22
+00:01:47,380 --> 00:01:51,220
+لو جيت أحسب speed هنا كمثال، الـspeed في هذه الحالة
+
+23
+00:01:51,220 --> 00:01:55,640
+قيمتها خمسة متر على الثانية. في فرق بين الـspeed
+
+24
+00:01:55,640 --> 00:02:00,060
+و الـvelocity. هنا الـspeed خمسة، هنا الـspeed خمسة،
+
+25
+00:02:00,060 --> 00:02:02,500
+هنا الـspeed خمسة، هنا الـspeed خمسة، هنا الـspeed
+
+26
+00:02:02,500 --> 00:02:07,320
+خمسة، constant speed، لكن أيش اللي متغير عندي؟ هل الـ
+
+27
+00:02:07,320 --> 00:02:10,750
+velocity constant؟ لأ، فلسطين هي اتجاهها، لأن فلسطين
+
+28
+00:02:10,750 --> 00:02:17,510
+بتعبر عن magnitude واتجاه. إذا هنا عندي خمسة قيمتها
+
+29
+00:02:17,510 --> 00:02:23,250
+ثابتة، لكن اتجاهها بهذا الاتجاه، مماس لمين؟ للمسار
+
+30
+00:02:23,250 --> 00:02:27,190
+اللي موجود عنده هنا. قيمتها ثابتة خمسة، لكن اتجاهها
+
+31
+00:02:27,190 --> 00:02:31,690
+أيش صار فيه؟ اتغير، الاتجاه هنا قيمتها ثابتة بس
+
+32
+00:02:31,690 --> 00:02:37,490
+اتجاهها ماله؟ مختلف، مماس لمين؟ للدائرة، المماس
+
+33
+00:02:37,490 --> 00:02:43,410
+للدائرة هو عمودي على مين؟ على نصف القطر، عمودي على
+
+34
+00:02:43,410 --> 00:02:48,230
+نصف القطر. مماس الدائرة عمودي على نصف القطر. إذا
+
+35
+00:02:48,230 --> 00:02:55,460
+اتجاه السرعة، الـvelocity هنا متغير، لكن الـspeed ماله؟
+
+36
+00:02:55,460 --> 00:03:00,020
+لها ثابتة قيمتها. إذا في عندي particle بتتحرك بـ
+
+37
+00:03:00,020 --> 00:03:05,140
+constant speed في مسار دائري، إيش بيكتسب؟ بيكتسب
+
+38
+00:03:05,140 --> 00:03:10,440
+centripetal acceleration، أو يكتسب centripetal
+
+39
+00:03:10,440 --> 00:03:14,600
+acceleration. الـcentripetal acceleration، إذا لما
+
+40
+00:03:14,600 --> 00:03:18,120
+أقول الـcentripetal acceleration، الآن الـcentripetal
+
+41
+00:03:18,120 --> 00:03:21,460
+acceleration، نشأ من مين؟ احنا عارفين الـcentripetal
+
+42
+00:03:21,460 --> 00:03:25,280
+acceleration بتأثر على مين؟ الـvelocity. لذا في هذه
+
+43
+00:03:25,280 --> 00:03:30,300
+الحالة، أيش اللي اتغير عنده؟ اتغيرت الـvelocity، و
+
+44
+00:03:30,300 --> 00:03:34,940
+بالأخص اتغيرت الاتجاه. لذا لما اتغيرت اتجاه، نشأ
+
+45
+00:03:34,940 --> 00:03:41,380
+عنده أيش؟ الـcentripetal acceleration، نتيجة
+
+46
+00:03:41,380 --> 00:03:47,160
+التغير في الـdirection للـvelocity، للسرعة للـparticle
+
+47
+00:03:47,160 --> 00:03:51,460
+للـparticle، الـvelocity. إذا نتيجة، كمان مرة بقول، لو في
+
+48
+00:03:51,460 --> 00:03:54,160
+centripetal acceleration، نتيجة أيش؟
+
+49
+00:03:54,160 --> 00:03:57,900
+الـcentripetal acceleration، نتيجة تغير في
+
+50
+00:03:57,900 --> 00:04:03,560
+الـvelocity، وليس الـspeed، أو بأخرى، نتيجة تغير في
+
+51
+00:04:03,560 --> 00:04:08,440
+الـdirection للـvelocity. طب الـdirection للـ
+
+52
+00:04:08,440 --> 00:04:11,300
+acceleration، وين اتجاهها؟ مش هنعرف إن الـ
+
+53
+00:04:11,300 --> 00:04:16,620
+acceleration هي vector. طيب الـvector بيلزم فيه حاجتين:
+
+54
+00:04:16,620 --> 00:04:21,260
+قيمة واتجاه. إذا اتجاهها لوين؟ اتجاه
+
+55
+00:04:21,260 --> 00:04:28,240
+الـacceleration، اتجاهها toward المركز، اتجاه المركز.
+
+56
+00:04:28,240 --> 00:04:32,540
+عشان هيك سميناها centripetal acceleration. إذا اتجاه
+
+57
+00:04:32,540 --> 00:04:44,500
+المركز. أيش رمزها؟ a<sub>R</sub> = V تربيع على R. هنا
+
+58
+00:04:44,500 --> 00:04:52,060
+a<sub>R</sub> سميناها R لأنها في اتجاه الـradius. طيب لما يكون
+
+59
+00:04:52,060 --> 00:04:56,660
+في عندنا ذاكرين، لما يكون في قانون نيوتن الثاني،
+
+60
+00:04:56,660 --> 00:05:03,220
+summation of forces في اتجاه الـX مثلاً = M في
+
+61
+00:05:03,220 --> 00:05:11,450
+a<sub>X</sub>،  مازال في force؟ في اتجاه الـY، M في a<sub>Y</sub>.  الصم ...
+
+62
+00:05:11,450 --> 00:05:16,230
+اللي هي الـforce كمتجه = M في A.
+
+63
+00:05:20,320 --> 00:05:26,020
+أي acceleration لازم يكون لها force. إذا من قانون نيوتن الثاني،
+
+64
+00:05:26,020 --> 00:05:30,860
+إذا من قانون نيوتن الثاني، أي acceleration لازم يكون
+
+65
+00:05:30,860 --> 00:05:36,460
+لها force. طب هذه الـforce أيش بسميها؟ centripetal force.
+
+66
+00:05:36,460 --> 00:05:42,920
+إذن في عندي حاجتين: centripetal force، في عندي
+
+67
+00:05:42,920 --> 00:05:46,400
+centripetal acceleration، و الـcentripetal acceleration
+
+68
+00:05:46,400 --> 00:05:50,480
+قيمتها V تربيع على R. إذا الـcentripetal force =
+
+69
+00:05:50,480 --> 00:05:56,760
+M في V تربيع على مين؟ على R. إذا بقدر أقول summation of
+
+70
+00:05:56,760 --> 00:06:05,600
+forces = M في A. الـforce من اتجاهها، إذا كانت
+
+71
+00:06:05,600 --> 00:06:08,940
+هذه في اتجاه الـR، هذا في اتجاه الـR، في اتجاه الـX،
+
+72
+00:06:08,940 --> 00:06:11,760
+في اتجاه الـX، والـR، والـX كأنه component،
+
+73
+00:06:11,760 --> 00:06:15,440
+component في اتجاه الـX، component في اتجاه الـY،
+
+74
+00:06:15,440 --> 00:06:19,260
+component في اتجاه الـi، مركبة في اتجاه الـR. لذا
+
+75
+00:06:19,260 --> 00:06:22,040
+المركبة، لما يكون مجموع القوة زي ما قلت، summation
+
+76
+00:06:22,040 --> 00:06:24,840
+of forces في اتجاه الـX، يعني مجموع القوة اللي في
+
+77
+00:06:24,840 --> 00:06:29,080
+اتجاه الـX، أو المركبة الأفقية = الكتلة في
+
+78
+00:06:29,080 --> 00:06:33,390
+مين؟ في الـacceleration اللي في اتجاه الـX.  ساو الاكس
+
+79
+00:06:33,390 --> 00:06:37,650
+مركبة الأفقية لمين؟ للـacceleration في الكتلة، و
+
+80
+00:06:37,650 --> 00:06:40,650
+كذلك الآن نفس الأشياء، summation of forces في اتجاه
+
+81
+00:06:40,650 --> 00:06:45,510
+الـR، في اتجاه محور معين، في اتجاه component معين،
+
+82
+00:06:45,510 --> 00:06:49,550
+في اتجاه X، إذا كانت في اتجاه الـX، محور X، في
+
+83
+00:06:49,550 --> 00:06:56,020
+اتجاه Y، محور X. طب الـR؟ اتجاه الـR في اتجاه
+
+84
+00:06:56,020 --> 00:06:59,000
+الـR، فبيكون عندي summation of forces في اتجاه الـR
+
+85
+00:06:59,000 --> 00:07:03,940
+بيساوي أيش؟ M في a<sub>R</sub>، واحنا عارفين الـM والـa<sub>R</sub>
+
+86
+00:07:03,940 --> 00:07:08,560
+أخذناها V تربيع على مين؟ على R. إذا الآن لو جمعت
+
+87
+00:07:08,560 --> 00:07:12,180
+القوة في اتجاه المركز لازم تساوي M في V تربيع على
+
+88
+00:07:12,180 --> 00:07:15,720
+مين؟ على R. وهذا هو المبدأ اللي هنبدأ نشتغل عليه
+
+89
+00:07:15,720 --> 00:07:20,420
+ونحل عليه مسائلنا. الـcentripetal force ترجع لمين؟
+
+90
+00:07:20,420 --> 00:07:26,940
+للـdirection للـforce، مش هو نوع جديد، يعني مش هلاقي
+
+91
+00:07:26,940 --> 00:07:30,060
+قوة اسمها centripetal، أو قوة الطرد المركزي. لأ هي
+
+92
+00:07:30,060 --> 00:07:36,500
+قوة مرت علينا زي شد، tension، friction force، mass
+
+93
+00:07:36,500 --> 00:07:42,420
+weight، وزن mg، كل هدول معاهم قوة، normal force. إذا
+
+94
+00:07:42,420 --> 00:07:46,320
+ممكن centripetal force تكون قوة من هذه القوة، أيش؟
+
+95
+00:07:46,320 --> 00:07:48,400
+القوة الممكن نلاقيها friction force زي المثال اللي
+
+96
+00:07:48,400 --> 00:07:52,250
+هنجيبه كمان شوية. إذا أنا بدور عليها، وبعد ما بدور
+
+97
+00:07:52,250 --> 00:07:56,550
+عليها، بأشوف نوع القوة، يعني بمعنى آخر لو جبت أنا خيط،
+
+98
+00:07:56,550 --> 00:08:02,660
+وعلقت فيه كتلة، ولفيته. الآن الخيط ماله؟ ماسك هذه
+
+99
+00:08:02,660 --> 00:08:07,120
+الكتلة، وأنا بلف فيه. إذا في قوة أيش بتعمل؟ الخيط
+
+100
+00:08:07,120 --> 00:08:10,940
+لو انقطع فجأة، بيبقى الخيط ماله؟ أو الحجر ماله؟ ماشي
+
+101
+00:08:10,940 --> 00:08:14,540
+بخط مستقيم. لكن في هذه الحالة، الخيط، الشد أيش بيعمل
+
+102
+00:08:14,540 --> 00:08:19,000
+في الحجر؟ بيشده في اتجاه مين؟ في اتجاه المركز. إذا
+
+103
+00:08:19,000 --> 00:08:22,140
+الشد في هذه الحالة هي قوة مركزية. إذا it's a
+
+104
+00:08:22,140 --> 00:08:26,730
+centripetal force، هي عبارة عن قوة، ليست قوة جديدة.
+
+105
+00:08:26,730 --> 00:08:30,050
+مافيش حاجة اسمها طرد مركزي، ما نقولش طرد مركزي. لأ،
+
+106
+00:08:30,050 --> 00:08:35,230
+قوة موجودة، مرت علينا، بدي أشوف أيش نوع هذه
+
+107
+00:08:35,230 --> 00:08:40,790
+القوة اللي موجودة عندي، بحيث تمسك الجسم يضل ماشي
+
+108
+00:08:40,790 --> 00:08:48,110
+في مين؟ في هذا المسار الدائري. نجي ناخد مثال، المثال
+
+109
+00:08:48,110 --> 00:08:55,460
+بيقول في عندي flat، flat يعني مستوي، unbanked، اللي هو
+
+110
+00:08:55,460 --> 00:08:59,280
+أيش ماله؟ مالوش حافة، مالوش حافة، curve يعني اللي هو دوار،
+
+111
+00:08:59,280 --> 00:09:03,340
+دوار عنده اللي بيلفوا عليه السيارات، زي اللي عندنا
+
+112
+00:09:03,340 --> 00:09:08,540
+مواقف، أي منطقة فيها دوار، في سيارة بدها تلف على هذا
+
+113
+00:09:08,540 --> 00:09:13,660
+الدوار. طيب لو سألت، إذا جت سريعة أيش بيصير فيها؟
+
+114
+00:09:13,660 --> 00:09:19,620
+متوقعين تنزلق لوين؟ أو تنجذب لوين؟ تنزلق لوين؟ خارج
+
+115
+00:09:19,620 --> 00:09:22,060
+الطريق. السيارة لما تكون سريعة، وأنت لو بدك تاخد
+
+116
+00:09:22,060 --> 00:09:26,740
+السيارة، ولفت السيارة بهذا الشكل، أنت بتروح وين؟
+
+117
+00:09:26,740 --> 00:09:31,060
+خارج أيش؟ المسار. الداخل، لكن لو فجأة فتح الباب،
+
+118
+00:09:31,060 --> 00:09:34,720
+بتقعد لبرا، لو أنت واقف على الباب، وقاعد على
+
+119
+00:09:34,720 --> 00:09:39,890
+الباب القريب، الباب القريب من الجهة الخارجية من مسار
+
+120
+00:09:39,890 --> 00:09:43,890
+الدائرة، ولفت السيارة، والباب يفتح، بتقعد لوين؟ لذا
+
+121
+00:09:43,890 --> 00:09:48,050
+في قوة كانت حافظاك، اللي هو الباب، الباب ضغطك
+
+122
+00:09:48,050 --> 00:09:54,070
+لوين؟ في اتجاه المركز، بحيث ما تنزلقش، تطلعش، تنجذب. وهذا
+
+123
+00:09:54,070 --> 00:09:57,660
+نفس الأشياء، اللي هي بسميها في هذه الحالة قوة
+
+124
+00:09:57,660 --> 00:10:01,600
+مركزية. إذا ما في قوة حافظتك، اللي هي وأنت راكب على
+
+125
+00:10:01,600 --> 00:10:06,520
+الباب، حافظت، حفظتك من أيش؟ من السقوط خارج السيارة،
+
+126
+00:10:06,520 --> 00:10:09,540
+إذا لما تكون السيارة بتدور بهذا الشكل في مسار
+
+127
+00:10:09,540 --> 00:10:16,080
+دائرة، أنا متوقع السيارة تنزلق خارج مسار الدائرة،
+
+128
+00:10:16,080 --> 00:10:22,180
+طيب لو كان يوم جليد، يوم فيه ثلج، متوقع إن السيارة
+
+129
+00:10:22,180 --> 00:10:27,880
+مالها؟ تمشي شوية شوية، بسرعة بسيطة جداً. لو أسرعت شوية
+
+130
+00:10:27,880 --> 00:10:31,860
+هتلاقيها أيش مالها؟ تنزلق وين؟ أو تطلع خارج المسار،
+
+131
+00:10:31,860 --> 00:10:36,820
+تنزلق برا، ماشي؟ لذا في هذه الحالة، في عندنا طريق، و
+
+132
+00:10:36,820 --> 00:10:43,580
+الطريق قادر ماله؟ خشن، طريق الأسفلت خشن، معامل الاحتكاك
+
+133
+00:10:43,580 --> 00:10:53,080
+له قيمته 0.2، أقصى سرعة بدها تتحرك فيها السيارة
+
+134
+00:10:53,080 --> 00:11:01,320
+بحيث أيش مالها؟ ما تنزلقش في أيش؟ في اللف تبع الدوار،
+
+135
+00:11:01,320 --> 00:11:07,400
+ما تنزلقش خارج أيش؟ الدوار. كيف بدي
+
+136
+00:11:07,400 --> 00:11:13,620
+أجيبها؟ أول حاجة بدي أحدد زي ما قلنا سابقاً الـfree
+
+137
+00:11:13,620 --> 00:11:20,200
+body diagram لهذا الجسم. طبعاً هذه السيارة تتحرك على
+
+138
+00:11:20,200 --> 00:11:26,860
+الدوار هنا. أول حاجة في عندنا قوة الوزن، ضغط على
+
+139
+00:11:26,860 --> 00:11:32,440
+الـasphalt لوين؟ لأسفل. في رد الفعل من السطح لوين؟ على
+
+140
+00:11:32,440 --> 00:11:36,960
+السيارة. هذه قوتين مالهما؟ متعامدتين. وفي عندنا مسار دائري،
+
+141
+00:11:36,960 --> 00:11:42,170
+الآن هيكون في مسار دائري، والسيارة بتلف في مسار
+
+142
+00:11:42,170 --> 00:11:46,610
+دائري، فيه centripetal أيش؟ force. إذا مباشرة بقول
+
+143
+00:11:46,610 --> 00:11:51,650
+summation of forces في اتجاه المركز = mv تربيع
+
+144
+00:11:51,650 --> 00:11:58,170
+على r. ليش كتبتها؟ لأنه بتحرك في مسار ماله؟ مسار
+
+145
+00:11:58,170 --> 00:12:01,950
+دائري. طب أيش القوة الآن؟ أيش اللي ما خلا السيارة
+
+146
+00:12:01,950 --> 00:12:08,130
+تنزلق؟ اللي هي قوة احتكاك. أي سيارة عندها هنا في قوة
+
+147
+00:12:08,130 --> 00:12:12,510
+احتكاك مسكتها أصلاً. هو السيارة اللي بتنزلق، أنا
+
+148
+00:12:12,510 --> 00:12:16,710
+متوقع تنزلق لوين؟ خارج المسار. لذا في friction force
+
+149
+00:12:16,710 --> 00:12:21,190
+هنا f<sub>s</sub>، وليه سميتها s؟ friction force، كمان مرة
+
+150
+00:12:21,190 --> 00:12:27,220
+هعرف ليش سميتها s. f<sub>s</sub>، فاكرينها؟ f<sub>s</sub> في اتجاه
+
+151
+00:12:27,220 --> 00:12:32,780
+المركز، قوة منعت السيارة إنها تطلع خارج المسار، لو
+
+152
+00:12:32,780 --> 00:12:36,540
+كانت هذه المنطقة فيها لزوجة، فيها زيت، أيش متوقع
+
+153
+00:12:36,540 --> 00:12:40,320
+السيارة مالها؟ تنزلق وتطلع خارج المسار، تنزلق خارج
+
+154
+00:12:40,320 --> 00:12:45,700
+المسار. إذن في عندي f<sub>s</sub>. طب الـf<sub>s</sub> ما أنساش، أيش
+
+155
+00:12:45,700 --> 00:12:52,700
+بتساوي؟ نذكر، f<sub>s</sub> = μ<sub>s</sub> في مين؟ في الـnormal
+
+156
+00:12:52,700 --> 00:13:00,040
+force، وبدي آخذها maximum، ليش maximum؟ لأنه أقصى
+
+157
+00:13:00,040 --> 00:13:04,920
+أيش؟ أنا بدور على أيش؟ على الـmaximum speed، أقصى
+
+158
+00:13:04,920 --> 00:13:11,300
+سرعة بدها تتحرك فيها بحيث ما تنزلقش. إذا الجسم بيكون
+
+159
+00:13:11,300 --> 00:13:16,170
+على وشك أيش؟ الانزلاق، على وشك الانزلاق خارج المسار.
+
+160
+00:13:16,170 --> 00:13:20,310
+السيارة بتكون على وشك الانزلاق خارج المسار، فهي عند
+
+161
+00:13:20,310 --> 00:13:23,530
+f<sub>s</sub> = μ<sub>s</sub> في الـnormal force. كم من قوة
+
+162
+00:13:23,530 --> 00:13:27,530
+موجودة عندك؟ f<sub>s</sub>، هذا طبعاً أفقياً نحكي عنها زي
+
+163
+00:13:27,530 --> 00:13:33,070
+هيك. الآن في عندي f<sub>s</sub>، في عندي mg ضاغطة على الطريق، في
+
+164
+00:13:33,070 --> 00:13:37,050
+normal force. اتجاه الـnormal force لوين؟ اتجاه
+
+165
+00:13:37,050 --> 00:13:41,490
+الـnormal force فوق. يعني في عندي f<sub>s</sub> للداخل، في عندي
+
+166
+00:13:41,490 --> 00:13:46,030
+normal force لفوق، في عندي mg لتحت. إذا الـnormal
+
+167
+00:13:46,030 --> 00:13:50,270
+force =  إيش بتساوي؟ mg
+
+168
+00:13:52,950 --> 00:13:57,590
+mg إلى أسفل، normal force إلى أعلى. الناحية
+
+223
+00:18:44,930 --> 00:18:49,890
+وهنا إيش السيارة بتدور في مسار ماهو دائرة، إذًا هنا
+
+224
+00:18:49,890 --> 00:18:55,470
+مخروط، والسيارة هيها وبتدور على جدران هذا
+
+225
+00:18:55,470 --> 00:19:05,660
+المخروط، السطح المائي، نصف القطر عنده ثمانين متر، إذًا
+
+226
+00:19:05,660 --> 00:19:09,380
+هنا فيه ثمانين متر، والسيارة قاعدة بتدور بهذا الشكل
+
+227
+00:19:09,380 --> 00:19:15,140
+إذًا الدائرة، الدائرة أفقية، دائرة أفقية، و
+
+228
+00:19:15,140 --> 00:19:20,000
+سيارة بتدور زي بعض الصالات أحيانًا، أو مستشفيات
+
+229
+00:19:20,000 --> 00:19:27,080
+الإسعاف، بتطلع، أيش؟  الخارج بيكون فيه طريق في الخارج
+
+230
+00:19:27,080 --> 00:19:31,020
+دائمًا هذا الطريق بيكون مائل شوية أحيانًا، عشان لو
+
+231
+00:19:31,020 --> 00:19:35,780
+أسرع شوية، ما ينزلقش خارج الطريق، إيش القوة
+
+232
+00:19:35,780 --> 00:19:38,400
+المؤثرة عليه؟ بقول دائمًا ارسم حاجة اسمها الـ free
+
+233
+00:19:38,400 --> 00:19:41,860
+body diagram، هاي السطح المائل، هاي الطريق اللي
+
+234
+00:19:41,860 --> 00:19:45,860
+بتحرك عليه، ووزن الـ .. وهاد الزاوية، إيش مالها اللي
+
+235
+00:19:45,860 --> 00:19:50,980
+أنا صممتها بحيث إن السيارة تقدر تتحرك في ستين
+
+236
+00:19:50,980 --> 00:19:58,110
+كيلومتر في الساعة، وزن الجسم لوين؟ دائمًا إلى أسفل، في
+
+237
+00:19:58,110 --> 00:20:03,150
+اتجاه، دائمًا اتجاهها على الأرض متعامدة مع الأرض
+
+238
+00:20:03,150 --> 00:20:11,470
+رقم اثنين، في هنا السطح بيعمل رد فعل، هنا الـ normal
+
+239
+00:20:11,470 --> 00:20:18,610
+force من السطح على مين؟ على السيارة، هل في قوة ثانية؟
+
+240
+00:20:18,610 --> 00:20:21,830
+قلنا إحنا إيش؟ الاحتكاك معاه زيرو، لو في احتكاك،
+
+241
+00:20:21,830 --> 00:20:25,050
+بدي أحط الاحتكاك، يا لفوق يا لتحت، اللي هو الحركة
+
+242
+00:20:25,050 --> 00:20:29,810
+الموجودة عندك، والآن، أتحرك في مسار ده، أول حاجة لحل
+
+243
+00:20:29,810 --> 00:20:35,020
+أي مسألة، المركز، هي مركز الدورة، بدي أحلل القوة
+
+244
+00:20:35,020 --> 00:20:40,500
+في اتجاهين، في اتجاه المركز، والاتجاه المتعامد على
+
+245
+00:20:40,500 --> 00:20:44,480
+المركز، ممكن يكون هذا اتجاه الدائرة، اتجاه المركز
+
+246
+00:20:44,480 --> 00:20:48,260
+للداخل، وفي عندي مماس، وفي عندي حاجة عمودية عليهما
+
+247
+00:20:48,260 --> 00:20:53,960
+لاثنين، في ثلاث اتجاهات متعامدة، لذا هاي أول حاجة
+
+248
+00:20:53,960 --> 00:20:59,300
+اتجاه المركز، في قوة في اتجاه المركز، لأني هذه
+
+249
+00:20:59,300 --> 00:21:03,300
+الزاوية متعامدة مع المركز، خلصنا من هادي، ما بدهاش
+
+250
+00:21:03,300 --> 00:21:11,880
+تحليل، لكن هذه الآن مش في اتجاه المركز، ولا متعامدة
+
+251
+00:21:11,880 --> 00:21:19,700
+مع المركز، هذه ثيتا، بالتبادل هذه ثيتا، هنا ثيتا، لو
+
+252
+00:21:19,700 --> 00:21:23,600
+اعتبرنا هذه ستين مثلاً، هذه ستين، بالتبادل
+
+253
+00:21:23,600 --> 00:21:30,520
+ثلاثين، قائمة، ستين، ثيتا هنا، ثيتا هنا، القريب من
+
+254
+00:21:30,520 --> 00:21:39,820
+الزاوية N cos θ، والبعيد من الزاوية N sin θ، رسمت الـ
+
+255
+00:21:39,820 --> 00:21:43,960
+free body diagram، إيش بجه أقول؟ مجموع القوة في
+
+256
+00:21:43,960 --> 00:21:49,620
+اتجاه المركز، الـ force في اتجاه الـ r، بيساوي mv
+
+257
+00:21:49,620 --> 00:21:57,380
+تربيع على a، إيش في اتجاه المركز، أو الـ air area، ن
+
+258
+00:21:57,380 --> 00:22:04,560
+صين ثيتا، هذه معادلة رقم واحد،  N سين ثيتا بيساوي N
+
+259
+00:22:04,560 --> 00:22:09,120
+في V تربيع على R، معادلة رقم اثنين، N كوسين ثيتا
+
+260
+00:22:09,120 --> 00:22:16,240
+بيساوي إيش؟ الـ mg، كمان N كوسين ثيتا بيساوي الـ m في
+
+261
+00:22:16,240 --> 00:22:23,700
+الـ g، معادلة واحد، و معادلة اثنين، الآن التعويض، الآن
+
+262
+00:22:23,700 --> 00:22:27,880
+بأخذ mg على كوساين الزاوية، و بعوض الآن، و الـ v
+
+263
+00:22:27,880 --> 00:22:33,980
+معطى معايا، و الـ m مع الـ m بتروح، و الـ r عطاني إياها
+
+264
+00:22:33,980 --> 00:22:39,120
+و دي معروفة عندي، بقدر أُحدد قيمتها، الزاوية اللي بدي
+
+265
+00:22:39,120 --> 00:22:43,840
+إياها، إذًا أنا بدي أُحدد قيمة الزاوية، يا بأقسم
+
+266
+00:22:43,840 --> 00:22:47,660
+المعادلتين على بعض مباشرة، بأقسم المعادلتين على بعض
+
+267
+00:22:47,660 --> 00:22:52,140
+بيطلع عندي التان، لما أقسم المعادلة الثانية على بعض، بيطلع
+
+268
+00:22:52,140 --> 00:22:56,940
+التان بيساوي V تربيع على R g، المعادلة هذه N سين
+
+269
+00:22:56,940 --> 00:23:03,060
+ثيتا بيساوي m V تربيع على R، الـ N مع الـ N بتروح،
+
+270
+00:23:03,060 --> 00:23:07,000
+سين على كوساين بيعطيني التان، و الـ m مع الـ m بتروح،
+
+271
+00:23:07,000 --> 00:23:09,640
+بيظل V تربيع على R g
+
+272
+00:23:14,550 --> 00:23:18,350
+ماشي، بقوم منها بطلع قيمة ثيتا، تان انفرس
+
+273
+00:23:18,350 --> 00:23:23,010
+للقيمة الموجودة عنده، أو شيفت تان، بطلع قيمة
+
+274
+00:23:23,010 --> 00:23:28,350
+الزاوية، الزاوية اللي لازم أصممها قيمتها قد ايش؟ 19.5
+
+275
+00:23:28,350 --> 00:23:32,850
+يعطيكم العافية، وإن شاء الله بنكمل في المحاضرة
+
+276
+00:23:32,850 --> 00:23:39,690
+اللي جاي، شدوا حالكم، الـ quiz عرفوا الـ quiz، الـ quiz
+
+277
+00:23:39,690 --> 00:23:44,850
+زي ما قلنا عليه، جزء من الدرجة، والواجبات عليها جزء
+
+278
+00:23:44,850 --> 00:23:47,390
+من الدرجة، يعطيكم العافية والتوفيق
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/982fukVNawc_postprocess.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/982fukVNawc_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..5aee470c735962d7d0b5c503e89e859af4967a8e
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/982fukVNawc_postprocess.srt
@@ -0,0 +1,1112 @@
+1
+00:00:05,670 --> 00:00:08,710
+بسم الله الرحمن الرحيم السلام عليكم و رحمة الله
+
+2
+00:00:08,710 --> 00:00:15,350
+وبركاته و كل عام انتوا بخير و ربنا يريد عليكم ال
+
+3
+00:00:15,350 --> 00:00:20,250
+.. يريد عليكم انتوا الصح والعافية اليوم انا شبط
+
+4
+00:00:20,250 --> 00:00:24,590
+الرقم خمسة شبط الرقم خمسة اللي هو بتكلم عن ال
+
+5
+00:00:24,590 --> 00:00:28,770
+circular motion ال circular motion مرت علينا قبل
+
+6
+00:00:28,770 --> 00:00:35,980
+ذلكعشان نتذكر في شبطر رقم تلاتة شبطر تلاتة مرت
+
+7
+00:00:35,980 --> 00:00:38,940
+علينا ال circular motion اليوم هناخدها بتفاصيل
+
+8
+00:00:38,940 --> 00:00:43,400
+أكتر و هنحل عليها مجموعة من الأسئلة قبل ما اتكلم
+
+9
+00:00:43,400 --> 00:00:47,580
+عن ال circular motion في انتحاج اسمها centripetal
+
+10
+00:00:47,580 --> 00:00:52,300
+force اللي هي القوة المركزيةالقوة المركزية اللى
+
+11
+00:00:52,300 --> 00:00:56,660
+بنتعرف عليها فى بداية هذا ال chapter طبعا احنا
+
+12
+00:00:56,660 --> 00:01:00,660
+عارفين ال centripetal force اللى مرت علينا في ال
+
+13
+00:01:00,660 --> 00:01:04,380
+centripetal acceleration اللى مرت علينا فى chapter
+
+14
+00:01:04,380 --> 00:01:09,060
+تلاتى واذا ذاكرين كان قيمتها بالساوة V تربيع على R
+
+15
+00:01:09,060 --> 00:01:14,150
+وسميتها AR اليوم هايدها نفس الاشياءلو انا عندي
+
+16
+00:01:14,150 --> 00:01:18,470
+particle اي particle بتحرك ب constant شرط مهم
+
+17
+00:01:18,470 --> 00:01:25,410
+constant ايش speed بتحرك ب constant speed constant
+
+18
+00:01:25,410 --> 00:01:31,110
+speed لكن بتحرك في ايش circular path مسار دائري
+
+19
+00:01:31,110 --> 00:01:36,510
+مسار دائري الو نصف قطر قيمته ا يعني بتحرك بهذا
+
+20
+00:01:36,510 --> 00:01:42,620
+الشكل مسار دائري الو نصف قطر ايش ابس في عندي نقطة
+
+21
+00:01:42,620 --> 00:01:47,380
+بده اوضحها قولت ايش ماله constant speed يعني انا
+
+22
+00:01:47,380 --> 00:01:51,220
+لو جيت احسب speed هنا كمثال ال speed في هذه الحالة
+
+23
+00:01:51,220 --> 00:01:55,640
+قيمتها خمسة متر على ال second في فرق بين ال speed
+
+24
+00:01:55,640 --> 00:02:00,060
+و ال velocity هنا ال speed خمسة هنا ال speed خمسة
+
+25
+00:02:00,060 --> 00:02:02,500
+هنا ال speed خمسة هنا ال speed خمسة هنا ال speed
+
+26
+00:02:02,500 --> 00:02:07,320
+خمسة constant speed لكن ايش اللي متغير عندي هل ال
+
+27
+00:02:07,320 --> 00:02:10,750
+velocity constant لأالفلسطين هي اتجاهها لان فلسطين
+
+28
+00:02:10,750 --> 00:02:17,510
+بتعبر magnitude و اتجاه اذا هنا عنده خمسة قيمتها
+
+29
+00:02:17,510 --> 00:02:23,250
+ثابتة لكن اتجاهها بهذا الاتجاهمماس لمين للمسار
+
+30
+00:02:23,250 --> 00:02:27,190
+اللي موجود عنده هنا قيمتها ثابت خمسة لكن اتجاهها
+
+31
+00:02:27,190 --> 00:02:31,690
+ايش صار فيه اتغير الاتجاه هنا قيمتها ثابت بس
+
+32
+00:02:31,690 --> 00:02:37,490
+اتجاهها ماله مختلف مماس لمين للدائرة المماس
+
+33
+00:02:37,490 --> 00:02:43,410
+للدائرة هو عمودي على مين على نصف القطر عمودي على
+
+34
+00:02:43,410 --> 00:02:48,230
+نصف القطر مماس الدائرة عمودي على نصف القطر اذا
+
+35
+00:02:48,230 --> 00:02:55,460
+اتجاه السرعة الفيروست هنا متغيرةلكن ال speed ما
+
+36
+00:02:55,460 --> 00:03:00,020
+لها ثابتة قيمتها إذا في عندي باردكل بتحرك ب
+
+37
+00:03:00,020 --> 00:03:05,140
+constant speed في مسار دائري إيش بيسيله بيسيله
+
+38
+00:03:05,140 --> 00:03:10,440
+centripetal acceleration أو يكتسب centripetal
+
+39
+00:03:10,440 --> 00:03:14,600
+acceleration الcentripetal acceleration إذا لما
+
+40
+00:03:14,600 --> 00:03:18,120
+أقول الcentripetal acceleration الآن الcentripetal
+
+41
+00:03:18,120 --> 00:03:21,460
+acceleration نشأ من مين؟أحنا عارفين الـcentripetal
+
+42
+00:03:21,460 --> 00:03:25,280
+acceleration بتأثر على مين ال velocity لذا في هذه
+
+43
+00:03:25,280 --> 00:03:30,300
+الحالة ايش اللي اتغير عنده اتغيرت ال velocity و
+
+44
+00:03:30,300 --> 00:03:34,940
+بالاخره اتغيرت الاتجاه لذا لما اتغيرت اتجاه نشأ
+
+45
+00:03:34,940 --> 00:03:41,380
+عنده ايش الcentripetal acceleration نتيجة
+
+46
+00:03:41,380 --> 00:03:47,160
+التغير في ال direction لل velocityلسرعة الباردكي
+
+47
+00:03:47,160 --> 00:03:51,460
+للباردكي ال velocity إذا نتيجة كمان مرة بقول لو في
+
+48
+00:03:51,460 --> 00:03:54,160
+انديسينتربيتال acceleration نتيجة ايش
+
+49
+00:03:54,160 --> 00:03:57,900
+الcentripetal acceleration نتيجة تغير في ال
+
+50
+00:03:57,900 --> 00:04:03,560
+velocity وليس ال speed أو بالأخرى نتيجة تغير في ال
+
+51
+00:04:03,560 --> 00:04:08,440
+direction لل velocity طب ال direction لل
+
+52
+00:04:08,440 --> 00:04:11,300
+acceleration وين اتجاهها مش هنعرفين ان ال
+
+53
+00:04:11,300 --> 00:04:16,620
+acceleration هي vectorطيب ال vector بلزم و حاجتين
+
+54
+00:04:16,620 --> 00:04:21,260
+قيمة و اتجاه اذا اتجاهها لوين اتجاه ال
+
+55
+00:04:21,260 --> 00:04:28,240
+acceleration اتجاهها toward الركز اتجاه المركز
+
+56
+00:04:28,240 --> 00:04:32,540
+عشان هيك سمناها centripetal acceleration اذا اتجاه
+
+57
+00:04:32,540 --> 00:04:44,500
+المركز ايش برمزها AR بتساوي V تربيع على Rهنا ال
+
+58
+00:04:44,500 --> 00:04:52,060
+AAR سميتها R لأنها في اتجاه ال radius طيب لما يكون
+
+59
+00:04:52,060 --> 00:04:56,660
+في عند ذاكرين لما يكون في قانون نيوتن التاني ال
+
+60
+00:04:56,660 --> 00:05:03,220
+summation لل force في اتجاه ال X مثلا بتساوي M في
+
+61
+00:05:03,220 --> 00:05:11,450
+AX مازال في force؟فى اتجاه الـ Y M في A Y الصممش
+
+62
+00:05:11,450 --> 00:05:16,230
+اللى ال force كمتجة بتساوي M في A
+
+63
+00:05:20,320 --> 00:05:26,020
+أي acceleration لها force اذا من قانون نيوتن تاني
+
+64
+00:05:26,020 --> 00:05:30,860
+اذا من قانون نيوتن تاني اي acceleration لازم يكون
+
+65
+00:05:30,860 --> 00:05:36,460
+لها force طب هذه ال force ايش بسميها centrifugal
+
+66
+00:05:36,460 --> 00:05:42,920
+forceالذن فى عندى حاجتين centripetal force فى عندى
+
+67
+00:05:42,920 --> 00:05:46,400
+centripetal acceleration وcentripetal acceleration
+
+68
+00:05:46,400 --> 00:05:50,480
+كمتها V تربيع عن R اذا الcentripetal force بتساوي
+
+69
+00:05:50,480 --> 00:05:56,760
+M فى V تربيع على مين على R اذا بقدر اقول الصماش لل
+
+70
+00:05:56,760 --> 00:06:05,600
+force بتساوي M فى Aال force من اتجاهها إذا كانت
+
+71
+00:06:05,600 --> 00:06:08,940
+هذا في اتجاه ال R هذا في اتجاه ال R في اتجاه ال X
+
+72
+00:06:08,940 --> 00:06:11,760
+في اتجاه ال X و ال R و ال X كأنه component
+
+73
+00:06:11,760 --> 00:06:15,440
+component في اتجاه ال X component في اتجاه ال Y
+
+74
+00:06:15,440 --> 00:06:19,260
+component في اتجاه ال I مراكبة في اتجاه ال R لذا
+
+75
+00:06:19,260 --> 00:06:22,040
+المراكبة لما يكون مجموع القوة زي ما قلت summation
+
+76
+00:06:22,040 --> 00:06:24,840
+of force في اتجاه ال X يعني مجموع القوة اللي في
+
+77
+00:06:24,840 --> 00:06:29,080
+اتجاه ال X او المراكبة الصينية بتساوي الكتلة في
+
+78
+00:06:29,080 --> 00:06:33,390
+مين في ال acceleration اللي في اتجاه ال Xساو الأكس
+
+79
+00:06:33,390 --> 00:06:37,650
+مُركّبة الصينية لمن؟ للـ acceleration في الكتلة و
+
+80
+00:06:37,650 --> 00:06:40,650
+كذلك الأن نفس الأشياء summation of force في اتجاه
+
+81
+00:06:40,650 --> 00:06:45,510
+الـR في اتجاه محور معين، في اتجاه component معين،
+
+82
+00:06:45,510 --> 00:06:49,550
+في اتجاه X إذا كانت في اتجاه الـX أكس محور X، في
+
+83
+00:06:49,550 --> 00:06:56,020
+اتجاه Y أكس محور X طب الـR؟ اتجاه الـRفى اتجاه ال
+
+84
+00:06:56,020 --> 00:06:59,000
+R فبيكون عندى sumational force فى اتجاه ال R
+
+85
+00:06:59,000 --> 00:07:03,940
+بيساوي ايش M فى AR واحنا عارفين ال M و ال AR
+
+86
+00:07:03,940 --> 00:07:08,560
+أخدناها فى تربيع على مين على R إذا الآن لو جمعت
+
+87
+00:07:08,560 --> 00:07:12,180
+القوة فى اتجاه المركز لازم تساوي M فى تربيع على
+
+88
+00:07:12,180 --> 00:07:15,720
+مين على R وهذا هو المبدأ اللى هنبدأ نشتغل عليه
+
+89
+00:07:15,720 --> 00:07:20,420
+ونحل عليه مسائلنا ال centripetal نتيجة ترجع لمين
+
+90
+00:07:20,420 --> 00:07:26,940
+ال directionلل force مش هو نوع جديد يعني مش هلاقي
+
+91
+00:07:26,940 --> 00:07:30,060
+قوة اسمها centripetal او قوة الطرد المركزي لأ هي
+
+92
+00:07:30,060 --> 00:07:36,500
+قوة مرت عليها زي شد tension friction force mass
+
+93
+00:07:36,500 --> 00:07:42,420
+weight وزن MG كل هدولة معاهم قوة normal force اذا
+
+94
+00:07:42,420 --> 00:07:46,320
+ممكن centripetal force تكون قوة من هذه ايش القوة
+
+95
+00:07:46,320 --> 00:07:48,400
+الممكن نلاقيها friction force زي المثال اللي
+
+96
+00:07:48,400 --> 00:07:52,250
+بديجينا جمال شويةإذا أنا بدور عليها وبعد ما بدور
+
+97
+00:07:52,250 --> 00:07:56,550
+عليها اقش القوة يعني بمعنى آخر لو جبت أنا خيطه
+
+98
+00:07:56,550 --> 00:08:02,660
+وعلجت فيه كتلة ولفيتهالان الخيط ماله ماسك هذه
+
+99
+00:08:02,660 --> 00:08:07,120
+الكتلة و انا برف فيه اذا في قوة ايش بتعمل؟ الخيط
+
+100
+00:08:07,120 --> 00:08:10,940
+لو انقطع فجأة بيبقى الخيط ماله او الحجر ماله ماشي
+
+101
+00:08:10,940 --> 00:08:14,540
+بخط مستقيم لكن في هذه الحالة الخيط الشد ايش بيعمل
+
+102
+00:08:14,540 --> 00:08:19,000
+في الحجر؟ بيشده في اتجاه مين؟ في اتجاه المركز اذا
+
+103
+00:08:19,000 --> 00:08:22,140
+الشد في هذه الحالة هي قوة مركزية اذا it's a
+
+104
+00:08:22,140 --> 00:08:26,730
+tributary forceهي عبارة عن قوة ليست قوة جديدة
+
+105
+00:08:26,730 --> 00:08:30,050
+مافيش حاجة اسمها طرد مركزي مانقولش طرد مركزي لأ
+
+106
+00:08:30,050 --> 00:08:35,230
+قوة مالها قوة موجودة مرت علي بدي أشوف إيش نوع هذه
+
+107
+00:08:35,230 --> 00:08:40,790
+القوة اللي موجودة عندى بحيث تمسك الجسم يضله ماشي
+
+108
+00:08:40,790 --> 00:08:48,110
+في مين في هذا المسار الدائر نجي ناخد مثال المثال
+
+109
+00:08:48,110 --> 00:08:55,460
+بيقول في عندي flat flat يعني مستويunbanked اللي هو
+
+110
+00:08:55,460 --> 00:08:59,280
+ايش مالوش حفة مالوش حفة care يعني اللي هو دوار
+
+111
+00:08:59,280 --> 00:09:03,340
+دوار عنده اللي بيلفوا عليه السيارة زي اللي عنده
+
+112
+00:09:03,340 --> 00:09:08,540
+موازن اي منطقة فيها دوار في سيارة بدها تلف على هذا
+
+113
+00:09:08,540 --> 00:09:13,660
+الدوار طيب لو سألت اذا اجت سريعة ايش بيصير فيها
+
+114
+00:09:13,660 --> 00:09:19,620
+متوقعين تنزلك لوين او تجلب لوين تنزلك لوين خارج
+
+115
+00:09:19,620 --> 00:09:22,060
+الطريق السيارة لما تكون سريعة وانت لو بده تاخد
+
+116
+00:09:22,060 --> 00:09:26,740
+السيارةولفت السيارة بهذا الشكل، انت بتروح وين؟
+
+117
+00:09:26,740 --> 00:09:31,060
+خارج ايش، المسار الداخل، لكن لو فجأة فتح الباب،
+
+118
+00:09:31,060 --> 00:09:34,720
+بتقعد لبرا، لو انت واقف على الباب، و قاعد على
+
+119
+00:09:34,720 --> 00:09:39,890
+الباب القريبالباب القريب من الشجهة الخارجي من مسار
+
+120
+00:09:39,890 --> 00:09:43,890
+الدائرة و لفت السيارة و الباب يفتح تجعل لوين؟ لذا
+
+121
+00:09:43,890 --> 00:09:48,050
+في قوة كانت حافظاك اللي هو الباب .. الباب ضاقتك
+
+122
+00:09:48,050 --> 00:09:54,070
+لوين؟ في اتجاه المركز بحيث تشردش، تطلعش، تجعش وهذا
+
+123
+00:09:54,070 --> 00:09:57,660
+نفس الأشياءاللي هي بسميها في هذا الحالة قوة
+
+124
+00:09:57,660 --> 00:10:01,600
+مركزية، إذا ما في قوة حفظتك اللي هي و أنت راكز على
+
+125
+00:10:01,600 --> 00:10:06,520
+الباب، حفظ حفظتك من إيش؟ من السقوط خارج السيارة،
+
+126
+00:10:06,520 --> 00:10:09,540
+إذا لما تكون السيارة بتدور بهذا الشكل في مسار
+
+127
+00:10:09,540 --> 00:10:16,080
+دائرة، أنا متوقع السيارة تنزلك خارج مسار الدائرة،
+
+128
+00:10:16,080 --> 00:10:22,180
+طيب لو كان يوم جليد، يوم فيه تلجتوقع ان السيارة
+
+129
+00:10:22,180 --> 00:10:27,880
+مالها تمشي شويه شويه بسرعة بسيطة جدا لو أسرعت شويه
+
+130
+00:10:27,880 --> 00:10:31,860
+هلاجيها ايش مالها تنزلك وين او تطلع خارج المسار
+
+131
+00:10:31,860 --> 00:10:36,820
+تزحلك برا ماشي؟ لذا في هذه الحالة في عندنا طريق و
+
+132
+00:10:36,820 --> 00:10:43,580
+الطريق قادر ماله خشن طريق السفل خشن معامل الاحتكاك
+
+133
+00:10:43,580 --> 00:10:53,080
+له قيمته 2 من 10 أقصى سرعةبدها تتحرك فيها السيارة
+
+134
+00:10:53,080 --> 00:11:01,320
+بحيث إيش ما لها ما تنجح في إيش في اللف تبع الدوار
+
+135
+00:11:01,320 --> 00:11:07,400
+ما تنزلقش خارجه ما تنزلقش خارج إيش الدوار كيف بدي
+
+136
+00:11:07,400 --> 00:11:13,620
+أجيبها؟ أول حاجة بدي أحدد زي ما قلنا سابقا ال free
+
+137
+00:11:13,620 --> 00:11:20,200
+body diagram لهذا الجسمطبعا هذه السيارة تتحرك على
+
+138
+00:11:20,200 --> 00:11:26,860
+الدوار هنا اول حاجة في عند قوة الوزن ضغط على ال
+
+139
+00:11:26,860 --> 00:11:32,440
+asphalt لوين لأسفل في رد الفعل من السطح لوين على
+
+140
+00:11:32,440 --> 00:11:36,960
+السيارة هذا قوتين ما له متعمد وفي عند مسار دائر
+
+141
+00:11:36,960 --> 00:11:42,170
+الآن هيومازال في مسار دائرى والسيارة بتلف في مسار
+
+142
+00:11:42,170 --> 00:11:46,610
+دائرى فيه centripetal ايش force اذا المباشرة بقول
+
+143
+00:11:46,610 --> 00:11:51,650
+summation لل force في اتجاه المركز بساوية mv تربيع
+
+144
+00:11:51,650 --> 00:11:58,170
+على a ليش كتبتها لأنه بتحرك في مسار ماله مسار
+
+145
+00:11:58,170 --> 00:12:01,950
+دائرى طب ايش القوة الآن ايش اللي ماخلاش السيارة
+
+146
+00:12:01,950 --> 00:12:08,130
+تنزلت اللي في قوة احتكاك اي سيارة عنده هنافى قوة
+
+147
+00:12:08,130 --> 00:12:12,510
+احتكاك مسكاها اصلا هو السيارة اللى بتنزلك انا
+
+148
+00:12:12,510 --> 00:12:16,710
+متوقع تنزلك لوين خارج المسار لذا فى friction force
+
+149
+00:12:16,710 --> 00:12:21,190
+هنا أف أس وليه سميتها أس friction force كمان مرة
+
+150
+00:12:21,190 --> 00:12:27,220
+هعرف ليش سميتها أس أف أسفاكروا فيها؟ FS في اتجاه
+
+151
+00:12:27,220 --> 00:12:32,780
+المركز قوة منعت السيارة انها تطلع خارج المسار، لو
+
+152
+00:12:32,780 --> 00:12:36,540
+كانت هذه المنطقة فيها لزوجة، فيها زيت، ايش متوقع
+
+153
+00:12:36,540 --> 00:12:40,320
+السيارة مالها؟ تزحنك و تطلع خارج المسار، تنزل خارج
+
+154
+00:12:40,320 --> 00:12:45,700
+المسار، إذن في عندي FS طب ال FS ما أنساش، إيش
+
+155
+00:12:45,700 --> 00:12:52,700
+بتساوي نذكر FS بتساوي لميو اس في مين؟فى ال normal
+
+156
+00:12:52,700 --> 00:13:00,040
+force و بدى اختارها maximum ليش maximum لأنه أقصى
+
+157
+00:13:00,040 --> 00:13:04,920
+ايش انا بدور على ايش على ال maximum speed أقصى
+
+158
+00:13:04,920 --> 00:13:11,300
+سرعة بدها تتحرك فيها بحيث ماتنزلقش اذا الجسم بيكون
+
+159
+00:13:11,300 --> 00:13:16,170
+على وشك ايشالانزلاق على وشك الانزلاق خارج المسار
+
+160
+00:13:16,170 --> 00:13:20,310
+السيارة بتكون على وشك الانزلاق خارج المسار فهي عند
+
+161
+00:13:20,310 --> 00:13:23,530
+أف أس بالساوة ميو أس في ال normal force كام من قوة
+
+162
+00:13:23,530 --> 00:13:27,530
+موجودة عندك أف أس هذا طبعا أفقيا نحكي براها زي
+
+163
+00:13:27,530 --> 00:13:33,070
+هيكاالان في عندي fs في عندي mg ضادت على الطريق في
+
+164
+00:13:33,070 --> 00:13:37,050
+normal force اتجاه ال normal force لوين؟ اتجاه ال
+
+165
+00:13:37,050 --> 00:13:41,490
+normal force فوق يعني في عندي fs للداخل في عندي
+
+166
+00:13:41,490 --> 00:13:46,030
+normal force لفوق في عندي mg لتحت إذا ال normal
+
+167
+00:13:46,030 --> 00:13:50,270
+force إيش بتساوي؟ ميو أس في م في الجي
+
+168
+00:13:52,950 --> 00:13:57,590
+مج إلى أسفل normal force إلى أعلى الناشم السطح هل
+
+169
+00:13:57,590 --> 00:14:00,030
+في قوة تانية في اتجاه المركز هي القوة الوحيدة في
+
+170
+00:14:00,030 --> 00:14:02,830
+اتجاه المركز إذا بقدر أقول مجموعة القوات التي في
+
+171
+00:14:02,830 --> 00:14:07,110
+اتجاه المركز هي عبارة عن ال Fs و بتساوي كلها
+
+172
+00:14:07,110 --> 00:14:13,630
+بتساوي Mv تربيه على مين على R الان ال M ال mass مع
+
+173
+00:14:13,630 --> 00:14:19,560
+ال massبتروح و في هذه الحالة اعطاني هو ميو اس
+
+174
+00:14:19,560 --> 00:14:24,380
+عجلتي جدري بدي ال V و هذه حاولت احطها ايش maximum
+
+175
+00:14:24,380 --> 00:14:28,840
+ليش حطيتها maximum لإن الجسم اقصى سرعة لواشكيش
+
+176
+00:14:28,840 --> 00:14:36,120
+الانزلعة لذا حيكون عندي V maximum ال R بجيبها هنا
+
+177
+00:14:36,120 --> 00:14:43,550
+و باخد الجدر للطرفين جدر ميو اس في A في Gهذه أقصى
+
+178
+00:14:43,550 --> 00:14:48,190
+سرعة طب الآن أنا قلت FS احتكاك قوة احتكاك ليش ما
+
+179
+00:14:48,190 --> 00:14:52,490
+قلتش FK مع ان السيارة متحركة طالع عندي هنا لو أنا
+
+180
+00:14:52,490 --> 00:14:57,090
+عندي سيارة بتتحرك بهذا الاتجاه خط مستقيم هل في
+
+181
+00:14:57,090 --> 00:15:02,690
+حركة .. الحركة وين؟ في اتجاه مين؟ في اتجاه ال X في
+
+182
+00:15:02,690 --> 00:15:06,850
+اتجاه ال Y اللي عندكوا او اتجاه ال Z هل في حركة؟
+
+183
+00:15:06,850 --> 00:15:12,040
+هل في انزلاق؟إذا في هذه الحالة في اتجاه ال X فك
+
+184
+00:15:12,040 --> 00:15:19,240
+لكن في اتجاه ال Y أو الاتجاه اللي عليكم هو FS كذلك
+
+185
+00:15:19,240 --> 00:15:23,420
+السيارة لما تدور بعضها دايما ماله هذا بعضه ثابت
+
+186
+00:15:23,420 --> 00:15:28,900
+بين هنا و هناكذلك السيارة بُعدها شماله ثابت عن نصف
+
+187
+00:15:28,900 --> 00:15:32,560
+القطر لذا بيكون عندي هل في إزاحة في اتجاه ال
+
+188
+00:15:32,560 --> 00:15:36,600
+radial في اتجاه نصف القطر فش تغير في اتجاه نصف
+
+189
+00:15:36,600 --> 00:15:42,680
+القطر لذا بيكون هنا في عندي ايش Fs ما بيكونش Fk Fk
+
+190
+00:15:42,680 --> 00:15:49,400
+بيكون وينه مماس بهذا الشكل زي ما كان عندي Fk هيك و
+
+191
+00:15:49,400 --> 00:15:52,780
+Fs وين بهذا الاتجاه فش عندي
+
+192
+00:15:59,920 --> 00:16:04,740
+واضح من هذه العلاقة بطلع قيمة V اذا اقصى سرعة
+
+193
+00:16:04,740 --> 00:16:11,360
+مكتوبة لازم تكون 50.4 طبعا لو جيت تحط انت كبلدية و
+
+194
+00:16:11,360 --> 00:16:15,080
+تحط اقصى سرعة موجودة عندك مش حد يكتبها خمسين هي
+
+195
+00:16:15,080 --> 00:16:17,880
+خمسين ايه شمالها خمسين وأربعة من عشرة في ال safe
+
+196
+00:16:17,880 --> 00:16:25,700
+sideفى أمان لكن بلديه بتكتب 45 اربعين حيث يكون
+
+197
+00:16:25,700 --> 00:16:31,140
+ماله سيارة تتحرك بأمان لو زود شويه نقصه شويه
+
+198
+00:16:31,140 --> 00:16:35,420
+مابتأثرش على انزلاق السيارة و بيكونش ليه عندى اي
+
+199
+00:16:35,420 --> 00:16:41,640
+حوادث اذا هنا اقصى سرعة مسموحله اقصى سرعة على وشك
+
+200
+00:16:41,640 --> 00:16:47,000
+الانزلاق 50.4 لو زود شويه عنها ينزلق خارج المساق
+
+201
+00:16:48,430 --> 00:16:53,510
+هذه السؤال الأول ناخد مثال تاني برضه ع الدوران بس
+
+202
+00:16:53,510 --> 00:16:59,030
+دوران طريق مختلف تصميم طريق بحيث يكون مائل يعني
+
+203
+00:16:59,030 --> 00:17:03,950
+أنا بده يلف ع الدوار بده يزود السرعة بده عندما
+
+204
+00:17:03,950 --> 00:17:11,010
+يتحرك ب 50.4 بده يسمح ليه يتحرك بسرعة أكبرأو بديش
+
+205
+00:17:11,010 --> 00:17:15,010
+اقعد مدعى الانزلاق اذا انا جاي بويه شماله في منطقة
+
+206
+00:17:15,010 --> 00:17:18,650
+كثيرة الجليد فيها تلج فلذلك احيانا ال friction
+
+207
+00:17:18,650 --> 00:17:23,810
+بيقل لدرجة كبيرة جدا بدي اصمم طريق بحيث في الآخر
+
+208
+00:17:23,810 --> 00:17:27,670
+احسب سرعة معينة انا او احط maximum speed او
+
+209
+00:17:27,670 --> 00:17:33,630
+maximum speed يتحرك فيها بحيث ايش بحيث ماينزلقش
+
+210
+00:17:33,630 --> 00:17:39,430
+خارج المسار بيقول في عندهcircular curve في
+
+211
+00:17:39,430 --> 00:17:47,310
+انديمسار دائري of a road is designed صمم من ايش
+
+212
+00:17:47,310 --> 00:17:56,490
+صمم بحيث اشماله تقدر السيارة تتحرك جداش ستين
+
+213
+00:17:56,490 --> 00:18:02,800
+كيلومتر في مين في الساعةبدون without demanding
+
+214
+00:18:02,800 --> 00:18:07,440
+بدون الاعتماد على مين الاحتكاك اذا انا بدأ اعدم
+
+215
+00:18:07,440 --> 00:18:10,500
+الاحتكاك كله ماهي علاقة بالاحتكاك كان يوم جليد
+
+216
+00:18:10,500 --> 00:18:14,860
+مافيش احتكاك احتكاك بسيط بدأ اعتمد بس ان اميل
+
+217
+00:18:14,860 --> 00:18:18,600
+الطريق بدل ما هو كان عدل في السؤال القبل وكان
+
+218
+00:18:18,600 --> 00:18:23,260
+معتمد على ال friction لأ الآن الطريق زي هيك عشكل
+
+219
+00:18:23,260 --> 00:18:23,940
+زي مخلوط
+
+220
+00:18:27,450 --> 00:18:33,690
+بس مش فيها الشكل كتير مخروط وبهذا الشكل يعني مائل
+
+221
+00:18:33,690 --> 00:18:37,890
+الطريق بزاوية مقدارها theta طبعا مخروط واضح لكن
+
+222
+00:18:37,890 --> 00:18:44,930
+مائلها بيكون خفيف بهذا الشكل وهذه 17 درجات مثلا
+
+223
+00:18:44,930 --> 00:18:49,890
+وهنا ايش السيارة بتدور في مسار ماله دائرة اذا هنا
+
+224
+00:18:49,890 --> 00:18:55,470
+مخروط والسيارة هيها وبتدور في مين على جدران هذا
+
+225
+00:18:55,470 --> 00:19:05,660
+المخروطعالسطح الماء نصف القطر عنده تمانين متر اذا
+
+226
+00:19:05,660 --> 00:19:09,380
+هنا فيه تمانين متر والسيارة قاعدة بتدور بهذا الشكل
+
+227
+00:19:09,380 --> 00:19:15,140
+اذا الدائرة مالها الدائرة أفقية دائرة أفقية و
+
+228
+00:19:15,140 --> 00:19:20,000
+سيارة بتدور زي بعض الصلاة أحيانا او مستشفيات
+
+229
+00:19:20,000 --> 00:19:27,080
+الاسعاف بتطلع أيشع الخارج بيكون فيه طريق في الخارج
+
+230
+00:19:27,080 --> 00:19:31,020
+دائما هذا الطريق بيكون مائل شوية احيانا عشان لو
+
+231
+00:19:31,020 --> 00:19:35,780
+أسرع شوية اشماله ماينزلقش خارج الطريق ايش القوة
+
+232
+00:19:35,780 --> 00:19:38,400
+المؤثرة عليه؟ بقول دائما ارسم حاجة اسمها ال free
+
+233
+00:19:38,400 --> 00:19:41,860
+body diagram هاي السطح المائل هاي الطريق اللي
+
+234
+00:19:41,860 --> 00:19:45,860
+بتحرك عليه ووزن ال .. و هاد الزاوية اشمالها اللي
+
+235
+00:19:45,860 --> 00:19:50,980
+انا صممتها بحيث انه يقدر السيارة تتحرك في ستين
+
+236
+00:19:50,980 --> 00:19:58,110
+كيلومتر في الساعةوزن الجسم لوين دائما إلى أسفل في
+
+237
+00:19:58,110 --> 00:20:03,150
+اختلاف دائما اتجاهها على الأرض متعامدة مع الأرض
+
+238
+00:20:03,150 --> 00:20:11,470
+رقم اتنين في هنا السطح بيعمل رد فعل هنا ان normal
+
+239
+00:20:11,470 --> 00:20:18,610
+force من السطح على مين على السيارةهل في قوة تانية؟
+
+240
+00:20:18,610 --> 00:20:21,830
+قلنا احنا ايش؟ الاحتكاك معاه زيرو، لو في احتكاك،
+
+241
+00:20:21,830 --> 00:20:25,050
+بدي احط الاحتكاك، يا لفوق يا لتحت، اللي هو الحرك
+
+242
+00:20:25,050 --> 00:20:29,810
+الموجود عندك، والان اتحرك في مسار ده، اول حاجة لحل
+
+243
+00:20:29,810 --> 00:20:35,020
+اي مسألة، المركز، هي المركز الدورةبدي أحلل القوة
+
+244
+00:20:35,020 --> 00:20:40,500
+في اتجاهين في اتجاه المركز والاتجاه المتعمد على
+
+245
+00:20:40,500 --> 00:20:44,480
+المركز ممكن يكون هذه اتجاه الدائرة اتجاه المركز
+
+246
+00:20:44,480 --> 00:20:48,260
+للداخل وفي عندي مماس وفي عندي حاجة عمودية عليهم
+
+247
+00:20:48,260 --> 00:20:53,960
+الاتنين في تلت اتجاهات متعمدة لذا هاي أول حاجة
+
+248
+00:20:53,960 --> 00:20:59,300
+اتجاه المركز في قوة في اتجاه المركز لأطيب هذه
+
+249
+00:20:59,300 --> 00:21:03,300
+الزاوية متعامدة مع المركز خلصنا من الامجي بدهاش
+
+250
+00:21:03,300 --> 00:21:11,880
+تحليل لكن هذه الان مش في اتجاه المركز ولا متعامدة
+
+251
+00:21:11,880 --> 00:21:19,700
+مع المركز هذه ثيتا بالتبادل هذه ثيتا هنا ثيتا لو
+
+252
+00:21:19,700 --> 00:21:23,600
+اعتبرنا هذه ستين مثلا ستين هذه ستين بالتبادل
+
+253
+00:21:23,600 --> 00:21:30,520
+تلاتين قائمة ستين ثيتا هنا ثيتا هناالقريب من
+
+254
+00:21:30,520 --> 00:21:39,820
+الزاوية n cos θ والبعيد من الزاوية n sin θ رسمت ال
+
+255
+00:21:39,820 --> 00:21:43,960
+free body diagram ايش بجه اقول مجموع القوة في
+
+256
+00:21:43,960 --> 00:21:49,620
+اتجاه المركز ال force في اتجاه الار بالساوية mv
+
+257
+00:21:49,620 --> 00:21:57,380
+تربيع على a ايش في اتجاه المركز او ال air areaن
+
+258
+00:21:57,380 --> 00:22:04,560
+صين ثيتا هذه معادلة رقم واحد ن صين ثيتا بيساوي ن
+
+259
+00:22:04,560 --> 00:22:09,120
+في تربيع على R معادلة رقم اتنين ن كوصين ثيتا
+
+260
+00:22:09,120 --> 00:22:16,240
+بيساوي ايش ال M G كمان ن كوصين ثيتا بيساوي ال M في
+
+261
+00:22:16,240 --> 00:22:23,700
+ال G معادلة واحد و معادلة اتنينالان يتعويض الان
+
+262
+00:22:23,700 --> 00:22:27,880
+بسوء MG على كساين الزاوية و بعوض على الان و ال V
+
+263
+00:22:27,880 --> 00:22:33,980
+معطه معايا و ال M مع ال M بتروح و ال R عطاني اياها
+
+264
+00:22:33,980 --> 00:22:39,120
+و دي معروف عندى بقدر احدد قيمتهش الزاوية اللى بدوا
+
+265
+00:22:39,120 --> 00:22:43,840
+اياها اذا انا بدي احدد قيمة الزاوية يا بيكسب
+
+266
+00:22:43,840 --> 00:22:47,660
+المعادلتين على بعض مباشرة بيكسب المعادلتين على بعض
+
+267
+00:22:47,660 --> 00:22:52,140
+بطلع عند التانلما أكسب المعادلة تاني على بعض بيطلع
+
+268
+00:22:52,140 --> 00:22:56,940
+التان بيساوي V تربيع على R المعادلة هذي N Sine
+
+269
+00:22:56,940 --> 00:23:03,060
+Theta بيساوي M V تربيع على R ال N مع ال N بتروح
+
+270
+00:23:03,060 --> 00:23:07,000
+Sine على Cos بيعطيني التان و ال M مع ال M بتروح
+
+271
+00:23:07,000 --> 00:23:09,640
+بيظل V تربيع على R في ال G
+
+272
+00:23:14,550 --> 00:23:18,350
+ماشي اقوم منها بطلع قيمة ثائر ثيتا ten inverse
+
+273
+00:23:18,350 --> 00:23:23,010
+للقيمة الموجودة عنده او shift ten بطلع قيمة
+
+274
+00:23:23,010 --> 00:23:28,350
+الزاوية زنزاوية اللي لازم اصممها قيمتها جديش 19.5
+
+275
+00:23:28,350 --> 00:23:32,850
+يعطيكوا العافية وان شاء الله بنكمل في المحاضرة
+
+276
+00:23:32,850 --> 00:23:39,690
+اللي جاي شدوا حالكوا ال quiz عرفوا ال quiz ال quiz
+
+277
+00:23:39,690 --> 00:23:44,850
+زي ما قولنا عليهمجزء من الدرجة والواجبات عليهم جزء
+
+278
+00:23:44,850 --> 00:23:47,390
+من الدرجة يعطيكم العافية والتوفيق
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/982fukVNawc_raw.json b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/982fukVNawc_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..e0acb6115e2a642886c83e182e7d3fc5ad198e0d
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/982fukVNawc_raw.json
@@ -0,0 +1 @@
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436.02, "word": " ونحل", "probability": 0.9332275390625}, {"start": 436.02, "end": 436.32, "word": " عليه", "probability": 0.9921875}, {"start": 436.32, "end": 437.5, "word": " مسائلنا", "probability": 0.885986328125}, {"start": 437.5, "end": 437.82, "word": " ال", "probability": 0.9404296875}, {"start": 437.82, "end": 438.52, "word": " centripetal", "probability": 0.7218017578125}, {"start": 438.52, "end": 439.62, "word": " نتيجة", "probability": 0.973876953125}, {"start": 439.62, "end": 439.98, "word": " ترجع", "probability": 0.8668619791666666}, {"start": 439.98, "end": 440.42, "word": " لمين", "probability": 0.7478841145833334}, {"start": 440.42, "end": 441.04, "word": " ال", "probability": 0.60400390625}, {"start": 441.04, "end": 442.1, "word": " direction", "probability": 0.84033203125}], "temperature": 1.0}, {"id": 19, "seek": 46932, "start": 443.34, "end": 469.32, "text": "لل force مش هو نوع جديد يعني مش هلاقي قوة اسمها centripetal او قوة الطرد المركزي لأ هي قوة مرت عليها زي شد 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"probability": 0.452392578125}, {"start": 1385.92, "end": 1386.0, "word": " ال", "probability": 0.7734375}, {"start": 1386.0, "end": 1386.2, "word": " M", "probability": 0.755859375}, {"start": 1386.2, "end": 1386.3, "word": " مع", "probability": 0.99365234375}, {"start": 1386.3, "end": 1386.4, "word": " ال", "probability": 0.94873046875}, {"start": 1386.4, "end": 1386.52, "word": " M", "probability": 0.93115234375}, {"start": 1386.52, "end": 1387.0, "word": " بتروح", "probability": 0.9322916666666666}, {"start": 1387.0, "end": 1387.38, "word": " بيظل", "probability": 0.76708984375}, {"start": 1387.38, "end": 1387.58, "word": " V", "probability": 0.9736328125}, {"start": 1387.58, "end": 1388.04, "word": " تربيع", "probability": 0.9671630859375}, {"start": 1388.04, "end": 1388.26, "word": " على", "probability": 0.90869140625}, {"start": 1388.26, "end": 1388.7, "word": " R", "probability": 0.9931640625}, {"start": 1388.7, "end": 1389.4, "word": " في", "probability": 0.8134765625}, 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"word": " ثيتا", "probability": 0.6680501302083334}, {"start": 1397.19, "end": 1397.81, "word": " ten", "probability": 0.2220458984375}, {"start": 1397.81, "end": 1398.35, "word": " inverse", "probability": 0.92578125}, {"start": 1398.35, "end": 1399.17, "word": " للقيمة", "probability": 0.75274658203125}, {"start": 1399.17, "end": 1399.63, "word": " الموجودة", "probability": 0.84814453125}, {"start": 1399.63, "end": 1400.43, "word": " عنده", "probability": 0.712646484375}, {"start": 1400.43, "end": 1401.47, "word": " او", "probability": 0.781005859375}, {"start": 1401.47, "end": 1401.69, "word": " shift", "probability": 0.74072265625}, {"start": 1401.69, "end": 1402.11, "word": " ten", "probability": 0.64501953125}, {"start": 1402.11, "end": 1402.65, "word": " بطلع", "probability": 0.84869384765625}, {"start": 1402.65, "end": 1403.01, "word": " قيمة", "probability": 0.9763997395833334}, {"start": 1403.01, "end": 1403.49, "word": " الزاوية", "probability": 0.8798828125}, {"start": 1403.49, "end": 1404.37, "word": " زنزاوية", "probability": 0.85888671875}, {"start": 1404.37, "end": 1404.75, "word": " اللي", "probability": 0.9541015625}, {"start": 1404.75, "end": 1405.07, "word": " لازم", "probability": 0.9754231770833334}, {"start": 1405.07, "end": 1405.73, "word": " اصممها", "probability": 0.91103515625}, {"start": 1405.73, "end": 1406.17, "word": " قيمتها", "probability": 0.976806640625}, {"start": 1406.17, "end": 1406.73, "word": " جديش", "probability": 0.5865071614583334}, {"start": 1406.73, "end": 1407.27, "word": " 19", "probability": 0.311279296875}, {"start": 1407.27, "end": 1408.35, "word": ".5", "probability": 0.98291015625}, {"start": 1408.35, "end": 1408.99, "word": " يعطيكوا", "probability": 0.771875}, {"start": 1408.99, "end": 1409.47, "word": " العافية", "probability": 0.94873046875}, {"start": 1409.47, "end": 1411.29, "word": " وان", "probability": 0.728515625}, {"start": 1411.29, "end": 1411.49, "word": " شاء", "probability": 0.97314453125}, {"start": 1411.49, "end": 1411.55, "word": " الله", "probability": 0.94384765625}, {"start": 1411.55, "end": 1412.07, "word": " بنكمل", "probability": 0.8513997395833334}, {"start": 1412.07, "end": 1412.19, "word": " في", "probability": 0.91552734375}, {"start": 1412.19, "end": 1412.85, "word": " المحاضرة", "probability": 0.990234375}, {"start": 1412.85, "end": 1413.43, "word": " اللي", "probability": 0.587890625}, {"start": 1413.43, "end": 1413.65, "word": " جاي", "probability": 0.830810546875}, {"start": 1413.65, "end": 1415.05, "word": " شدوا", "probability": 0.78466796875}, {"start": 1415.05, "end": 1415.51, "word": " حالكوا", "probability": 0.8970947265625}, {"start": 1415.51, "end": 1415.69, "word": " ال", "probability": 0.378662109375}, {"start": 1415.69, "end": 1416.07, "word": " quiz", "probability": 0.9697265625}, {"start": 1416.07, "end": 1416.65, "word": " عرفوا", "probability": 0.8517252604166666}, {"start": 1416.65, "end": 1416.79, "word": " ال", "probability": 0.9248046875}, {"start": 1416.79, "end": 1417.19, "word": " quiz", "probability": 0.98828125}, {"start": 1417.19, "end": 1419.41, "word": " ال", "probability": 0.6572265625}, {"start": 1419.41, "end": 1419.69, "word": " quiz", "probability": 0.732421875}, {"start": 1419.69, "end": 1420.07, "word": " زي", "probability": 0.58697509765625}, {"start": 1420.07, "end": 1420.17, "word": " ما", "probability": 0.9775390625}, {"start": 1420.17, "end": 1420.59, "word": " قولنا", "probability": 0.8834635416666666}, {"start": 1420.59, "end": 1421.57, "word": " عليهم", "probability": 0.973388671875}], "temperature": 1.0}, {"id": 59, "seek": 142739, "start": 1422.75, "end": 1427.39, "text": "جزء من الدرجة والواجبات عليهم جزء من الدرجة يعطيكم العافية والتوفيق", "tokens": [7435, 11622, 38207, 9154, 32748, 47341, 3660, 16070, 2407, 26108, 3555, 9307, 25894, 16095, 10874, 11622, 38207, 9154, 32748, 47341, 3660, 37495, 9566, 1829, 24793, 18863, 31845, 10632, 16070, 2655, 38688, 1829, 4587], "avg_logprob": -0.1567095540025655, "compression_ratio": 1.4761904761904763, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 1422.75, "end": 1423.17, "word": "جزء", "probability": 0.9134114583333334}, {"start": 1423.17, "end": 1423.27, "word": " من", "probability": 0.9970703125}, {"start": 1423.27, "end": 1423.71, "word": " الدرجة", "probability": 0.9534505208333334}, {"start": 1423.71, "end": 1424.33, "word": " والواجبات", "probability": 0.707373046875}, {"start": 1424.33, "end": 1424.57, "word": " عليهم", "probability": 0.976806640625}, {"start": 1424.57, "end": 1424.85, "word": " جزء", "probability": 0.9944661458333334}, {"start": 1424.85, "end": 1424.93, "word": " من", "probability": 0.99560546875}, {"start": 1424.93, "end": 1425.83, "word": " الدرجة", "probability": 0.9939778645833334}, {"start": 1425.83, "end": 1426.65, "word": " يعطيكم", "probability": 0.7515869140625}, {"start": 1426.65, "end": 1426.93, "word": " العافية", "probability": 0.9270833333333334}, {"start": 1426.93, "end": 1427.39, "word": " والتوفيق", "probability": 0.8515625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1427.4931875, "duration_after_vad": 1379.189374999998}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/9USiQZD5Cug.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/9USiQZD5Cug.srt
new file mode 100644
index 0000000000000000000000000000000000000000..2d4767e28f9037b259bf5c06f43d93b8452fc464
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/9USiQZD5Cug.srt
@@ -0,0 +1,674 @@
+1
+00:00:05,210 --> 00:00:08,010
+بسم الله الرحمن الرحيم يعطيكم العافية إن شاء الله
+
+2
+00:00:08,010 --> 00:00:13,450
+اليوم هنكمل Chapter تسعة، Chapter تسعة أخذنا محاضرتين فيه
+
+3
+00:00:13,450 --> 00:00:16,650
+اليوم محاضرة ثالثة، طبعاً Chapter تسعة بيتكلم عن الـ
+
+4
+00:00:16,650 --> 00:00:22,590
+collisions اللي هو التصادمات، التصادمات لما اتكلمنا
+
+5
+00:00:22,590 --> 00:00:25,930
+عنها أول حاجة أخذنا مقدمة اللي هو الـ impulse، بعد
+
+6
+00:00:25,930 --> 00:00:30,770
+ذلك حسبنا الـ impulse وكيف بقدر أحسب إنه إيش واحد
+
+7
+00:00:30,770 --> 00:00:35,490
+two طبعاً هو تغير في كمية التحرك لجسم واحد، وجولد
+
+8
+00:00:35,490 --> 00:00:38,830
+لانباردس هو vector وممكن أحسب من خلال الـ force والـ
+
+9
+00:00:38,830 --> 00:00:43,950
+الزمن  التصادم، بعد هيك الـ collision بيتقسم لقسمين
+
+10
+00:00:43,950 --> 00:00:47,410
+اللي هو elastic collision و inelastic collision، الـ
+
+11
+00:00:47,410 --> 00:00:51,420
+elastic بيكون فيه الـ momentum متشابه قبل بيساوي بعد
+
+12
+00:00:51,420 --> 00:00:57,720
+before بيساوي after، كذلك الـ kinetic energy قبل
+
+13
+00:00:57,720 --> 00:01:01,980
+بيساوي الـ kinetic energy بعد، بعد هيك قلت في عندي
+
+14
+00:01:01,980 --> 00:01:06,100
+inelastic collision، الـ inelastic collision هو الـ
+
+15
+00:01:06,100 --> 00:01:09,780
+momentum متساوي لكن إيش المختلف؟ في عندي loss
+
+16
+00:01:09,780 --> 00:01:13,300
+energy، إذا ذاكرين loss في الـ kinetic energy اللي
+
+17
+00:01:13,300 --> 00:01:17,400
+هي الـ K initial ناقص الـ K final، وقلت في نوع خاص
+
+18
+00:01:18,130 --> 00:01:22,450
+أو special case اللي هو بسميها perfectly in
+
+19
+00:01:22,450 --> 00:01:25,130
+elastic collision، الاتنين بسقطهم مع بعض وبمشوا
+
+20
+00:01:25,130 --> 00:01:29,670
+كجسم واحد، أخذنا مجموعة من الأمثلة، وأقول أول حاجة
+
+21
+00:01:29,670 --> 00:01:32,570
+اتكلمنا في الـ one dimension وبعد هيك أخذنا مجموعة
+
+22
+00:01:32,570 --> 00:01:37,950
+من الأمثلة وحلينا عليها، اليوم بعد ما نخلص الـ one
+
+23
+00:01:37,950 --> 00:01:41,150
+dimension، أخذنا المثال الخامس والسادس، بدي أحكي عن
+
+24
+00:01:41,150 --> 00:01:45,270
+الـ two dimension، قبل ما أحكي عن الـ two dimension
+
+25
+00:01:45,270 --> 00:01:51,750
+الـ momentum vector، لما أقول P initial بيساوي P
+
+26
+00:01:51,750 --> 00:01:55,590
+final للـ system، الـ collision طبعاً ده P initial
+
+27
+00:01:55,590 --> 00:02:02,470
+واحد، الـ one dimension، زائد P initial اتنين بيساوي
+
+28
+00:02:02,470 --> 00:02:08,090
+P final واحد زائد P final اتنين، طبعاً في الأصل هذا
+
+29
+00:02:08,090 --> 00:02:11,090
+vector، طب الـ vector إذا كان one dimension بيمشي
+
+30
+00:02:11,090 --> 00:02:14,670
+الحال، لكن إذا two dimension إيش بدي أعمله في الـ
+
+31
+00:02:14,670 --> 00:02:19,670
+vector؟ بيساوي vector، الأصل المركبة، المركبة بيساوي
+
+32
+00:02:19,670 --> 00:02:22,790
+الـ X component بيساوي الـ Y component، يعني الأصل
+
+33
+00:02:22,790 --> 00:02:31,550
+هذا في X، P initial X بتساوي P final X واحد و رقم
+
+34
+00:02:31,550 --> 00:02:39,310
+اتنين، P initial Y بتساوي P final Y، طبعاً هذه
+
+35
+00:02:39,310 --> 00:02:47,350
+المركبة الثانية، يعني بقدر أقول P initial واحد
+
+36
+00:02:47,350 --> 00:02:52,150
+initial اللي في اتجاه الـ X زائد P اتنين initial
+
+37
+00:02:52,150 --> 00:02:57,650
+اللي في اتجاه الـ X بتساوي P واحد final اللي في
+
+38
+00:02:57,650 --> 00:03:03,550
+اتجاه الـ X زائد P اتنين final اللي في اتجاه الـ X، و
+
+39
+00:03:03,550 --> 00:03:10,630
+كذلك الـ Y بنفس الطريقة، بقول P Y Y Y Y اللي هو
+
+40
+00:03:10,630 --> 00:03:14,550
+الـ initial في اتجاه الأول والثاني في اتجاه الـ Y
+
+41
+00:03:14,550 --> 00:03:18,530
+سواء الـ final الأول والـ final الثاني في اتجاه الـ
+
+42
+00:03:18,530 --> 00:03:27,110
+Y، الـ elastic collision، الـ equation of energy is
+
+43
+00:03:27,110 --> 00:03:29,630
+not changed، طبعاً
+
+44
+00:03:31,020 --> 00:03:34,800
+of two dimensions، يعني كمية التحرك قبل بتساوي كمية
+
+45
+00:03:34,800 --> 00:03:39,600
+التحرك بعد، إذا كانت تصادم، كمان مرة بقول تصادم
+
+46
+00:03:39,600 --> 00:03:42,760
+elastic collision، إذا الـ elastic collision بأضيف
+
+47
+00:03:42,760 --> 00:03:46,840
+عليه هذا معادلة رقم واحد للمركبة، هذا رقم
+
+48
+00:03:46,840 --> 00:03:51,100
+اتنين للمركبة، بيظل عندي الـ K initial
+
+49
+00:03:51,100 --> 00:03:55,520
+بيساوي الـ K، الـ K initial بيساوي الـ K final، يعني
+
+50
+00:03:55,520 --> 00:04:01,450
+أنا بقدر أقول نصف M، وهذا scale up، نصف m V واحد
+
+51
+00:04:01,450 --> 00:04:06,670
+initial square زائد نصف m V اتنين initial square
+
+52
+00:04:06,670 --> 00:04:13,350
+بيساوي نصف m V واحد final square زائد نصف m V
+
+53
+00:04:13,350 --> 00:04:15,890
+اتنين final square، كمان المعادلة في الـ kinetic
+
+54
+00:04:15,890 --> 00:04:23,430
+energy بتتغيرش لإني أنا بتكلم V و V square، V dot
+
+55
+00:04:23,430 --> 00:04:29,970
+الـ V بيعطينا كمية مالها قياسية، نيجي ناخذ مثال بيقول
+
+56
+00:04:29,970 --> 00:04:33,690
+في عندي مثال، قبل ما أحكي في المثال بدي أنا أضرب
+
+57
+00:04:33,690 --> 00:04:41,490
+مثال عشوائي هيك وأقول فيه جسمين، الجسم الأول بيصدم
+
+58
+00:04:41,490 --> 00:04:46,090
+في الجسم الثاني، الجسم جاي زي هيك والجسم الثاني
+
+59
+00:04:46,090 --> 00:04:54,210
+جاي زي هيك، هذا M1 وهذا M2، اصطدموا مع بعض، بعد
+
+60
+00:04:54,210 --> 00:05:01,340
+التصادم طلعوا في اتجاهين، هذا m واحد مثلاً هنا وهنا
+
+61
+00:05:01,340 --> 00:05:04,860
+m اتنين، هذا اتحرك بزاوية ثانية وهذا اتحرك بزاوية
+
+62
+00:05:04,860 --> 00:05:10,280
+ثانية، إيش بدنا نعمل؟ أول حاجة السرعة هي هذه V واحد
+
+63
+00:05:10,280 --> 00:05:17,340
+initial، V اتنين initial، هذه V واحد final، V اتنين
+
+64
+00:05:17,340 --> 00:05:26,430
+final، بدي أروح أحدد المحاور، محور X ومحور Y، إيش اللي
+
+65
+00:05:26,430 --> 00:05:31,910
+بدها تحليل؟ بدها تحليل الـ V، خاصةً هنا في عندي V1
+
+66
+00:05:31,910 --> 00:05:36,810
+initial المركبة X وهنا اتجاهها، لأن الاتجاهات
+
+67
+00:05:36,810 --> 00:05:40,810
+عبارة عن مين؟ عن إشارات بدي أعوض عنها، هذا إشارته
+
+68
+00:05:40,810 --> 00:05:46,030
+زي هيك بالموجب، هذا إشارته لتحت، بدها تكون V1
+
+69
+00:05:46,030 --> 00:05:50,010
+initial اللي في اتجاه الـ Y وهتكون بالسالب، اتجاه
+
+70
+00:05:50,010 --> 00:05:54,390
+الأسفل، كذلك هذا بنفس الإشارة، هيكون عندي V2
+
+71
+00:05:54,390 --> 00:06:01,370
+initial للـ X وكمان اتجاهها، V2 initial اللي في
+
+72
+00:06:01,370 --> 00:06:07,950
+اتجاه الـ Y زي هيك، جاي أحلله لمركبين، وكذلك الـ final
+
+73
+00:06:07,950 --> 00:06:18,900
+بدي أحلله لمركبين، V1 final X، V1 final Y، V2 final Y،
+
+74
+00:06:18,900 --> 00:06:23,900
+V2 final X، وأعوض في المعادلتين، أساساً ما بيلزم
+
+75
+00:06:23,900 --> 00:06:29,380
+بالاعتبار هذا θ واحد مثلاً، هذا في هنا θ أو incident
+
+76
+00:06:29,380 --> 00:06:35,050
+أو واحد أو اتنين، هنا في اتنين، أي أسماء، وبدأ أقول
+
+77
+00:06:35,050 --> 00:06:37,690
+cosine و sine، القريب من الزاوية بأخذ الـ cosine والـ
+
+78
+00:06:37,690 --> 00:06:41,210
+البعيد من الزاوية بأخذ الـ sine وأحلل أو بطلع
+
+79
+00:06:41,210 --> 00:06:45,590
+معادلتين فيهم θ واحد و θ اتنين و Φ واحد و
+
+80
+00:06:45,590 --> 00:06:48,950
+Φ اتنين، وأشوف إيش المجهول عندي، وإذا اتصادموا
+
+81
+00:06:48,950 --> 00:06:51,770
+مرنين بحط الـ kinetic energy، سواء الـ kinetic final
+
+82
+00:06:51,770 --> 00:06:56,930
+نيجي ناخذ المثال الموجود عنده، بيقول فيه إن سيارتين
+
+83
+00:06:56,930 --> 00:07:05,380
+اصطدموا في بعض، السيارة الأولى كانت تتحرك في اتجاه
+
+84
+00:07:05,380 --> 00:07:11,240
+محور X فقط، يعني V هنا واحد initial إيش بتساوي؟ خمسة
+
+85
+00:07:11,240 --> 00:07:15,980
+وعشرين متر على الـ second، اتجاهها في اتجاه الـ X
+
+86
+00:07:15,980 --> 00:07:21,560
+الثانية كانت تتحرك عشرين متر، V اتنين initial كـ
+
+87
+00:07:21,560 --> 00:07:28,050
+vector، عشرين في اتجاه الـ Y، اصطدموا مع بعض واتحركوا
+
+88
+00:07:28,050 --> 00:07:32,870
+مع بعض في زاوية مقدارها θ، يعني السؤال ما هو شكل
+
+89
+00:07:32,870 --> 00:07:35,970
+أسهل من هنا، بدل ما نقول إن دي θ واحد و θ اتنين وفي
+
+90
+00:07:35,970 --> 00:07:41,190
+واحد وفي اتنين، لأ، هذا شكل سهل و θ واحد فقط، و
+
+91
+00:07:41,190 --> 00:07:46,560
+المعادلات هتكون سلسة جداً، إيش بنعمل؟ الأول أنا ببدأ
+
+92
+00:07:46,560 --> 00:07:49,480
+أحللها، هل ببدأ تحليل؟ لأ، بألقيها كلها في اتجاه الـ X
+
+93
+00:07:49,480 --> 00:07:54,080
+يعني لو قلت V1 initial اللي في اتجاه الـ Y هتكون
+
+94
+00:07:54,080 --> 00:07:59,240
+قيمتها Zero، هنا V2 initial اللي في اتجاه الـ X
+
+95
+00:07:59,240 --> 00:08:07,200
+قيمتها Zero، الـ V final بدها تحليل V X وهنا V Y
+
+96
+00:08:07,200 --> 00:08:12,920
+final Y و final X، هو بتكون معادلة أولى ومعادلة
+
+97
+00:08:12,920 --> 00:08:18,100
+ثانية، طبعاً V final X اللي بيساوي V final cos θ و
+
+98
+00:08:18,100 --> 00:08:24,900
+هنا V final Y بيساوي V final sin θ، بدي أحللهم،
+
+99
+00:08:24,900 --> 00:08:27,100
+أساوي المعادلة الثانية اللي في اتجاه، أحكي عن الـ
+
+100
+00:08:27,100 --> 00:08:30,060
+momentum، بدي أقول momentum في اتجاه الـ X بيساوي الـ
+
+101
+00:08:30,060 --> 00:08:34,300
+momentum اللي في اتجاه الـ X، طبعاً قبل بدي أساوي بعد
+
+102
+00:08:34,300 --> 00:08:41,700
+بدي أكتب أول حاجة M1 في V1 initial في اتجاه الـ X
+
+103
+00:08:41,700 --> 00:08:49,220
+طبعاً زائد M2 في V2 initial في اتجاه الـ X بيساوي M1
+
+104
+00:08:49,220 --> 00:09:00,940
+زائد M2 في V final X، M1 V1 initial X هي M1 في 25
+
+105
+00:09:00,940 --> 00:09:10,310
+إذا M1 V1 initial X، 1500 ضرب 25، هذا في اتجاه الـ X
+
+106
+00:09:10,310 --> 00:09:16,190
+اللي هو في اتجاه زائد M2، أيّاً كان قيمتها، M2 الـ 2000 و
+
+107
+00:09:16,190 --> 00:09:22,050
+500 مضروبة في Zero، ليش مضروبة في Zero؟ لأن V2
+
+108
+00:09:22,050 --> 00:09:25,850
+initial مُركّبها في اتجاه x قيمتها Zero، فشيلها كلها في
+
+109
+00:09:25,850 --> 00:09:30,810
+اتجاه الـ Y، بيساوي 1500 الكتلة الأولى زائد
+
+110
+00:09:30,810 --> 00:09:35,110
+2500 مضروبة في الـ V final اللي في اتجاه
+
+111
+00:09:35,110 --> 00:09:42,810
+الـ X، أو بقدر أحطها V final cos θ، مش حتفرق كتير
+
+112
+00:09:42,810 --> 00:09:49,890
+بعدين معادلة ثانية لاتجاه الـ Y، M1 V1 initial Y زائد
+
+113
+00:09:49,890 --> 00:09:56,790
+M2 V2 initial في تجاه الـ Y، واحد زائد M2 في V
+
+114
+00:09:56,790 --> 00:10:02,760
+final Y، هذا Zero لأنه هو كله مركبته في اتجاه
+
+115
+00:10:02,760 --> 00:10:08,380
+الـ X، إيش بيظل عندي؟ هذه القيمة زائد 2500 كتلة ثانية
+
+116
+00:10:08,380 --> 00:10:13,680
+مضروبة في عشرين، هذه سرعتها قبل التصادم عشرين
+
+117
+00:10:13,680 --> 00:10:23,940
+بيساوي 3500، كتلتين مع بعض، آسف 4000 في
+
+118
+00:10:23,940 --> 00:10:27,820
+الـ V final، طبعاً بجيب القيمة هذه وبجيب القيمة هذه
+
+119
+00:10:27,820 --> 00:10:33,260
+بقسم المعادلتين على بعض، بيطلع عندي تان الزاوية، هذا
+
+120
+00:10:33,260 --> 00:10:36,360
+المعادلتين بقسمهم على بعض، وهذا بقسم الرقم على هذا
+
+121
+00:10:36,360 --> 00:10:42,880
+الرقم، بيطلع عندي تان الزاوية، سواء القيمة هذه على
+
+122
+00:10:42,880 --> 00:10:47,280
+القيمة الثانية الموجودة، مع بعض بقسمهم على بعض، بيطلع
+
+123
+00:10:47,280 --> 00:10:52,120
+تان الزاوية، بيطلع الزاوية قيمتها 53 درجة من قسمة 1
+
+124
+00:10:52,120 --> 00:10:59,300
+القيمة هذه، معادلة واحد على معادلة اتنين بيطلع تان
+
+125
+00:10:59,300 --> 00:11:03,640
+الزاوية، أو بيطلع cosine على sine، هنا طبعاً بعوض V final
+
+126
+00:11:03,640 --> 00:11:07,620
+sin الزاوية، cosine على sine هو اللي بيعطيك tan
+
+127
+00:11:07,620 --> 00:11:10,840
+وبيطلع قيمة الزاوية، بعد ما بيطلع قيمة الزاوية بعوض
+
+128
+00:11:10,840 --> 00:11:15,380
+عنها في المعادلة هذه أو المعادلة تحت، بيطلع قيمة V
+
+129
+00:11:15,380 --> 00:11:22,940
+final، بكون حددت المطلوب مني، السرعة النهائية بعد
+
+130
+00:11:22,940 --> 00:11:30,480
+التصادم، مسألة على ابتدائية وزاوية التصادم مثل آخر
+
+131
+00:11:30,480 --> 00:11:39,120
+بيقول عندي كتلتين أو جسمين، التصادم اللي بينهم فيه
+
+132
+00:11:39,120 --> 00:11:43,500
+تصادم بينهم، بدي أشوف هل التصادم مرن ولا مش مرن
+
+133
+00:11:43,500 --> 00:11:48,260
+إيش بدي أعمل؟ بدي أقول كتلة الأولى m واحد وهنا
+
+134
+00:11:48,260 --> 00:11:52,360
+الكتلة الثانية m اتنين، اصطدموا في بعض، أما اتنين
+
+135
+00:11:52,360 --> 00:11:57,460
+كانت ساكنة، inertia بتساوي Zero، كانت rest
+
+136
+00:11:57,460 --> 00:12:01,240
+after collision، ده particle two particle اللي هو
+
+137
+00:12:01,240 --> 00:12:04,700
+بنفس كتلة الـ mass، سرعة V واحد، inertia قيمتها
+
+138
+00:12:04,700 --> 00:12:09,800
+بتساوي 3.5 في 10 أس 5 متر على الثانية
+
+139
+00:12:09,800 --> 00:12:12,940
+اصطدموا
+
+140
+00:12:12,940 --> 00:12:18,600
+مع بعض، وبعد التصادم انطلقوا في زوايا، واحد θ
+
+141
+00:12:18,600 --> 00:12:25,750
+وهذا عندي five، بدي أوجد السرعات بعد التصادم، طبعاً
+
+142
+00:12:25,750 --> 00:12:28,750
+بدي أجي أطلع للمعادلة، بيقول لنا أنت بأيّ تصادم وفي
+
+143
+00:12:28,750 --> 00:12:33,750
+نوعين منه، تصادم قبل، طبعاً معروف إنه elastic، تصادم
+
+144
+00:12:33,750 --> 00:12:40,130
+هذا، نيجي نطلع إيش جاي هنا؟ تصادم
+
+145
+00:12:40,130 --> 00:12:45,330
+inelastic، مازال inelastic بيكون عنده معادلة للـ X للـ momentum
+
+146
+00:12:45,330 --> 00:12:51,800
+معادلة للـ Y للـ momentum، معادلة ثالثة اللي هي بتاعت الـ
+
+147
+00:12:51,800 --> 00:12:57,620
+energy، الـ kinetic energy، أول حاجة المعادلة الأولى
+
+148
+00:12:57,620 --> 00:13:04,860
+للmomentum، P واحد، P نفس الشيء P x P x P
+
+149
+00:13:04,860 --> 00:13:09,680
+initial x بيساوي P final x، إذا هنا P
+
+150
+00:13:09,680 --> 00:13:16,780
+initial x بيساوي P final x، لكن هنا كتلة ثانية
+
+151
+00:13:16,780 --> 00:13:22,740
+بالـ zero، ليش؟ لإنه ساكن، M1 في V1 initial في
+
+152
+00:13:22,740 --> 00:13:26,560
+اتجاه الـ X زائد M2 في V2 initial في اتجاه الـ X، M1
+
+153
+00:13:26,560 --> 00:13:32,380
+في V1 final في اتجاه الـ X، هنا إيش بدي أعمل؟ بدي
+
+154
+00:13:32,380 --> 00:13:38,580
+أحلل السرعتين V1 final cosine و V1 final sine
+
+155
+00:13:40,850 --> 00:13:48,210
+final cosine و V2 final cosine و V2 final cosine و
+
+156
+00:13:48,210 --> 00:13:53,790
+V2 final cosine و V2 final cosine و V2 final
+
+157
+00:13:53,790 --> 00:13:53,810
+final cosine و V2 final cosine و V2 final cosine و
+
+158
+00:13:53,810 --> 00:13:54,230
+cosine و V2 final cosine و V2 final cosine و V2
+
+159
+00:13:54,230 --> 00:13:57,290
+final cosine و V2 final cosine و V2 final cosine و
+
+160
+00:13:57,290 --> 00:14:07,060
+V2 final cosine و V2 final، في V1 initial اللي في
+
+161
+00:14:07,060 --> 00:14:12,100
+اتجاه الـ Y زائد M2 V2 initial اللي في اتجاه الـ Y
+
+162
+00:14:12,100 --> 00:14:15,540
+لاحظوا V1 initial كله في اتجاه الـ X، ما فيش له في
+
+163
+00:14:15,540 --> 00:14:19,120
+اتجاه الـ Y، الثاني سرعته باتجاه الـ X واتجاه الـ Y
+
+164
+00:14:19,120 --> 00:14:24,760
+بيساوي 0، إذا كله بيساوي إيش؟ Zero، بيساوي M1 في
+
+165
+00:14:24,760 --> 00:14:29,560
+اتجاه الـ Y، في عندي V1 sine الزاوية، M2 V2 sine
+
+166
+00:14:29,560 --> 00:14:35,620
+الزاوية، بس بإشارة مالها؟ إشارتها سالبة، سواء معادلة
+
+167
+00:14:35,620 --> 00:14:39,740
+رقم اتنين، هي معادلة رقم واحد ومعادلة رقم اتنين، بعد
+
+168
+00:14:39,740 --> 00:14:45,240
+هيك بجيب معادلة رقم ثلاثة اللي هي من مين؟ الـ kinetic
+
+169
+00:14:45,2
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/9USiQZD5Cug_postprocess.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/9USiQZD5Cug_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..1c0cfa14cc3120151a64176c8b0180934a379b4b
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/9USiQZD5Cug_postprocess.srt
@@ -0,0 +1,764 @@
+1
+00:00:05,210 --> 00:00:08,010
+بسم الله الرحمن الرحيم يعطيكوا العافية ان شاء الله
+
+2
+00:00:08,010 --> 00:00:13,450
+اليوم هنكمل شبتر تسعة شبتر تسعة أخدنا محاضرتين فيه
+
+3
+00:00:13,450 --> 00:00:16,650
+اليوم محاضرة تالتة طبعا شبتر تسعة بتكلم عن ال
+
+4
+00:00:16,650 --> 00:00:22,590
+collisions اللي هو التصادمات التصادمات لما اتكلمنا
+
+5
+00:00:22,590 --> 00:00:25,930
+عنها أول حاجة أخدنا مقدمة اللي هو ال impulse بعد
+
+6
+00:00:25,930 --> 00:00:30,770
+ذلك حسبنا ال impulse وكيف بقدر أحسب انه اش واحد
+
+7
+00:00:30,770 --> 00:00:35,490
+two طبعا هو تغير في كمية التحرك لجسم واحدو جولد
+
+8
+00:00:35,490 --> 00:00:38,830
+لانباردس هو vector و ممكن احسب من خلال ال force و
+
+9
+00:00:38,830 --> 00:00:43,950
+الزمن اتصادهم بعد هيك ال collision يتقسم لقسمين
+
+10
+00:00:43,950 --> 00:00:47,410
+اللي هو elastic collision و inelastic collision ال
+
+11
+00:00:47,410 --> 00:00:51,420
+elastic بيكون في end moment متشابهقبل بيساوي بعد
+
+12
+00:00:51,420 --> 00:00:57,720
+before بيساوي after كذلك ال kinetic energy قبل
+
+13
+00:00:57,720 --> 00:01:01,980
+بيساوي ال kinetic energy بعد بعد هيك قولت في عندي
+
+14
+00:01:01,980 --> 00:01:06,100
+inelastic collision ال inelastic collision هو ال
+
+15
+00:01:06,100 --> 00:01:09,780
+momentum متساوي لكن إيش المختلف في عندي loss
+
+16
+00:01:09,780 --> 00:01:13,300
+energy إذا ذاكرين loss في ال kinetic energy اللي
+
+17
+00:01:13,300 --> 00:01:17,400
+هي ال K initial ناقص ال K final و قولت في نوع خاص
+
+18
+00:01:18,130 --> 00:01:22,450
+أو special case اللي هو بسميها perfectly in
+
+19
+00:01:22,450 --> 00:01:25,130
+elastic collision الاتنين بسقطهم مع بعض و بمشوا
+
+20
+00:01:25,130 --> 00:01:29,670
+كجسم واحد أخدنا مجموعة من الأمثلة و أقول أول حاجة
+
+21
+00:01:29,670 --> 00:01:32,570
+اتكلمنا في ال one dimension و بعد هي أخدنا مجموعة
+
+22
+00:01:32,570 --> 00:01:37,950
+من الأمثلة و حلينا عليها اليوم بعد ما نخلص ال one
+
+23
+00:01:37,950 --> 00:01:41,150
+dimension خدنا المثل الخامس و السادس بدي اتكلم عن
+
+24
+00:01:41,150 --> 00:01:45,270
+ال two dimension قبل ما اتكلم عن ال two dimension
+
+25
+00:01:45,270 --> 00:01:51,750
+ال momentum vectorلما اقول بي initial بيثاول بي
+
+26
+00:01:51,750 --> 00:01:55,590
+final لل system ال collision طبعا ده بي initial
+
+27
+00:01:55,590 --> 00:02:02,470
+واحد ال one dimension زائد بي initial اتنين بيثاول
+
+28
+00:02:02,470 --> 00:02:08,090
+بي final واحد زائد بي final اتنينطبعا في الأصل هذا
+
+29
+00:02:08,090 --> 00:02:11,090
+vector طب ال vector إذا كان واحد dimension بيمشي
+
+30
+00:02:11,090 --> 00:02:14,670
+الحال لكن إذا two dimension إيش بده أعمله في end
+
+31
+00:02:14,670 --> 00:02:19,670
+vector بيساوي vector الأصل المراكبة الصينية بتساوي
+
+32
+00:02:19,670 --> 00:02:22,790
+ال X component بيساوي ال Y component يعني الأصل
+
+33
+00:02:22,790 --> 00:02:31,550
+هذا في X ب initial X بتساوي ب final X واحد ورقم
+
+34
+00:02:31,550 --> 00:02:39,310
+اتنين ب initial Y بتساوي ب final Yطبعا هذه اتنين
+
+35
+00:02:39,310 --> 00:02:47,350
+المعكبة التانية يعني بقدر اقول B initial او واحد
+
+36
+00:02:47,350 --> 00:02:52,150
+initial اللي في اتجاه ال X زائد B اتنين initial
+
+37
+00:02:52,150 --> 00:02:57,650
+اللي في اتجاه ال X بتساوي B واحد final اللي في
+
+38
+00:02:57,650 --> 00:03:03,550
+اتجاه ال X زائد B اتنين final اللي في اتجاه ال Xو
+
+39
+00:03:03,550 --> 00:03:10,630
+كذلك ال Y بنفس الطريقة بقول بيوة Y Y Y Y اللي هو
+
+40
+00:03:10,630 --> 00:03:14,550
+ال initial في اتجاه الأول و التاني في اتجاه ال Y
+
+41
+00:03:14,550 --> 00:03:18,530
+سواء ال final الأول و ال final التاني في اتجاه ال
+
+42
+00:03:18,530 --> 00:03:27,110
+Y ال elastic collision ال equation of energy is
+
+43
+00:03:27,110 --> 00:03:29,630
+not changed طبعا
+
+44
+00:03:31,020 --> 00:03:34,800
+of two dimensions يعني كمية التحرك قبل بيساوي كمية
+
+45
+00:03:34,800 --> 00:03:39,600
+التحرك بعد اذا كانت تصادم كمان مرة بقول تصادم
+
+46
+00:03:39,600 --> 00:03:42,760
+elastic collision اذا ال elastic collision باضيف
+
+47
+00:03:42,760 --> 00:03:46,840
+عليه هذا معادل رقم واحد للمراكبة الصينية هذا رقم
+
+48
+00:03:46,840 --> 00:03:51,100
+اتنين للمراكبة الصينية بيظل عند ال K initial
+
+49
+00:03:51,100 --> 00:03:55,520
+بيساوي ال K ال K initial بيساوي ال K final يعني
+
+50
+00:03:55,520 --> 00:04:01,450
+انا بقدر اقول نص Mوهذا scale up نص ام V واحد
+
+51
+00:04:01,450 --> 00:04:06,670
+initial square زائد نص ام V اتنين initial square
+
+52
+00:04:06,670 --> 00:04:13,350
+بيساوي نص ام V واحد final square زائد نص ام V
+
+53
+00:04:13,350 --> 00:04:15,890
+اتنين final square كمان المعادلة في ال kinetic
+
+54
+00:04:15,890 --> 00:04:23,430
+energy بتتغيرش لإنه انا بتتكلم V و V square V dot
+
+55
+00:04:23,430 --> 00:04:29,970
+ال V بيعطينا كمية مالها قياسيةنجي ناخد مثال بيقول
+
+56
+00:04:29,970 --> 00:04:33,690
+في عندي مثال قبل ما اتكلم في المثال بدي انا اضرب
+
+57
+00:04:33,690 --> 00:04:41,490
+مثال عشوائي هيك و اقول فيه جسمين الجسم الأول بصدم
+
+58
+00:04:41,490 --> 00:04:46,090
+في الجسم التاني الجسم جاي زي هيك و الجسم التاني
+
+59
+00:04:46,090 --> 00:04:54,210
+جاي زي هيك هذا M1 له و هذا M2 اصطدموا مع بعض بعد
+
+60
+00:04:54,210 --> 00:05:01,340
+اتصادهمطلعوا في اتجاهين هذا ام واحد مثلا هنا و هنا
+
+61
+00:05:01,340 --> 00:05:04,860
+ام اتنين هذا اتحرك بزاوية تانية و هذا اتحرك بزاوية
+
+62
+00:05:04,860 --> 00:05:10,280
+تانية ايش بدنا نعمل اول حاجة السرعة هي هذه V واحد
+
+63
+00:05:10,280 --> 00:05:17,340
+initial V اتنين initial هذه V واحد final V اتنين
+
+64
+00:05:17,340 --> 00:05:26,430
+final بدى اروح احدد المحاور محور X ومحور Yأيش اللي
+
+65
+00:05:26,430 --> 00:05:31,910
+بدها تحليل؟ بدها تحليل ال V خاصة هنا في عند V1
+
+66
+00:05:31,910 --> 00:05:36,810
+initial المركبة X و هنا اتجاهها لأن الاتجاهات
+
+67
+00:05:36,810 --> 00:05:40,810
+عبارة عن مين؟ عن إشارات بدي أعوض عنها هذا إشارته
+
+68
+00:05:40,810 --> 00:05:46,030
+زي هيك بالموجة هذا إشارته لتحت، بدها تكون V1
+
+69
+00:05:46,030 --> 00:05:50,010
+initial اللي في اتجاه ال Y و هتكون بالسالب، اتجاه
+
+70
+00:05:50,010 --> 00:05:54,390
+الأسفل كذلك تحدد هذا بنفس الإشارة، هيكون عند V2
+
+71
+00:05:54,390 --> 00:06:01,370
+initialللـ X وكمان اتجاهها V2 initial اللي في
+
+72
+00:06:01,370 --> 00:06:07,950
+اتجاه ال Y زي هيك جاي اتحلل لمركبين وكذلك ال final
+
+73
+00:06:07,950 --> 00:06:18,900
+بدي احلله لمركبين V1 final X V1 final Yv2 final y
+
+74
+00:06:18,900 --> 00:06:23,900
+v2 final x وعوض في المعدلتين أساسيا ما يلأخذ
+
+75
+00:06:23,900 --> 00:06:29,380
+بالاعتبار هذا θ واحد مثلا هذا في هنا θ او incident
+
+76
+00:06:29,380 --> 00:06:35,050
+او واحد او اتنين هنا في اتنينأي أسماء و بدأ تقول
+
+77
+00:06:35,050 --> 00:06:37,690
+cosine و sine الجريم من الزاوية باخد ال cosine و
+
+78
+00:06:37,690 --> 00:06:41,210
+البعيد من الزاوية باخد ال sine و بحلل أو بطلع
+
+79
+00:06:41,210 --> 00:06:45,590
+معدلتين فيهم theta واحد و theta اتنين و phi واحد و
+
+80
+00:06:45,590 --> 00:06:48,950
+phi اتنين و اشوف ايش المجهول عنده و اذا اتصادوا
+
+81
+00:06:48,950 --> 00:06:51,770
+مارين بحط ال kinetic energy بسوء ال kinetic final
+
+82
+00:06:51,770 --> 00:06:56,930
+نجي ناخد المثال موجود عنده بيقول فيه ان سيارتين
+
+83
+00:06:56,930 --> 00:07:05,380
+اصطدموا في بعضالسيارة الأولى كانت تتحرك في اتجاه
+
+84
+00:07:05,380 --> 00:07:11,240
+محور X فقط يعني V هنا واحد initial ايش بتساوي خمسة
+
+85
+00:07:11,240 --> 00:07:15,980
+وعشرين متر على ال second اتجاهها في اتجاه ال X
+
+86
+00:07:15,980 --> 00:07:21,560
+التاني كانت تتحرك عشرين متر V اتنين initial ك
+
+87
+00:07:21,560 --> 00:07:28,050
+vector عشرين في اتجاه ال Yاصطدموا مع بعض واتحركوا
+
+88
+00:07:28,050 --> 00:07:32,870
+مع بعض في زاوية مقدارها θ يعني السؤال مانو شكل
+
+89
+00:07:32,870 --> 00:07:35,970
+أسهل من هنا بدل منقول ان دي θ واحد و θ اتنين و في
+
+90
+00:07:35,970 --> 00:07:41,190
+واحد و في اتنين لأ هذا شكل سهل و θ واحد فقط و
+
+91
+00:07:41,190 --> 00:07:46,560
+معادلات هتكون سلسة جدا ايش بنعمل؟الأول أنا يبدأ
+
+92
+00:07:46,560 --> 00:07:49,480
+أحللها هل بدأ تحليل؟ لأ بلقيها كلها في اتجاه ال X
+
+93
+00:07:49,480 --> 00:07:54,080
+يعني لو قلت V1 initial اللي في اتجاه ال Y هتكون
+
+94
+00:07:54,080 --> 00:07:59,240
+قيمتها Zero هنا V2 initial اللي في اتجاه ال X
+
+95
+00:07:59,240 --> 00:08:07,200
+قيمتها Zero ال V final بدها تحليل VX و هنا VY
+
+96
+00:08:07,200 --> 00:08:12,920
+Final Y و Final Xهو بتكون معادلة أولى و معادلة
+
+97
+00:08:12,920 --> 00:08:18,100
+تانية طبعا v final x اللى بيساوي v final cos θ و
+
+98
+00:08:18,100 --> 00:08:24,900
+هنا v final y بيساوي v final sin θ بدي أحللهم
+
+99
+00:08:24,900 --> 00:08:27,100
+أساوي المعادلة تانية اللى في اتجاه اتكلم عن ال
+
+100
+00:08:27,100 --> 00:08:30,060
+momentum بدي اقول momentum في اتجاه ال x بيساوي ال
+
+101
+00:08:30,060 --> 00:08:34,300
+momentum اللى في اتجاه ال x طبعا قبل بدي اساوي بعد
+
+102
+00:08:34,300 --> 00:08:41,700
+بدي اكتب اول حاجة M1في V1 initial في اتجاه ال X
+
+103
+00:08:41,700 --> 00:08:49,220
+طبعا زائد M2 في V2 initial في اتجاه ال X يسوى M1
+
+104
+00:08:49,220 --> 00:09:00,940
+زائد M2 في V final X M1 V1 initial X هي M1 في 25
+
+105
+00:09:00,940 --> 00:09:10,310
+اذا M1 V1 initial X 1500 ضرب 25هذا في اتجاه ال X
+
+106
+00:09:10,310 --> 00:09:16,190
+الها في اتجاه زائد M2 ايا كان قيمتها M2 الفين و
+
+107
+00:09:16,190 --> 00:09:22,050
+خمسمية مضروبة في Zero ليش مضروبة في Zero لأن V2
+
+108
+00:09:22,050 --> 00:09:25,850
+initial مُركّب الصينية قيمتها Zero فشيلها كلها في
+
+109
+00:09:25,850 --> 00:09:30,810
+اتجاه ال Y بساوي الف و خمسمية الكتلة الأولى زائد
+
+110
+00:09:30,810 --> 00:09:35,110
+الفين و خمسمية مضروبة في ال V final اللي في اتجاه
+
+111
+00:09:35,110 --> 00:09:42,810
+ال Xأو بقدر أحطها V final cos θ مش هتفرق كتير
+
+112
+00:09:42,810 --> 00:09:49,890
+بعدين معادلة تانية لتجاه ال Y M1 V1 initial Y زائد
+
+113
+00:09:49,890 --> 00:09:56,790
+M2 V2 initial في تجاه ال Y مواحد زائد M2 في V
+
+114
+00:09:56,790 --> 00:10:02,760
+final Yهذا Zero لأن هو الهاش كل مركبتها في اتجاه
+
+115
+00:10:02,760 --> 00:10:08,380
+ال X ايش بيظل عنده هذه القيمة زائد 2500 كتلة تانية
+
+116
+00:10:08,380 --> 00:10:13,680
+مضروبة في عشرين هذه سريعتها قبل التصادم عشرين
+
+117
+00:10:13,680 --> 00:10:23,940
+بيساوي 3500 كتلتين مع بعض أسف 4000 في
+
+118
+00:10:23,940 --> 00:10:27,820
+ال V finalطبعا بجيب القيمة هذه وبجيب القيمة هذه
+
+119
+00:10:27,820 --> 00:10:33,260
+بقسم المعادلتين على بعض بطلع عنده تاني الزاوية هذا
+
+120
+00:10:33,260 --> 00:10:36,360
+المعادلتين بقسمهم على بعض وهذا بقسم الرقم على هذا
+
+121
+00:10:36,360 --> 00:10:42,880
+الرقم بطلع عنده تاني الزاوية بسوء القيمة هذه على
+
+122
+00:10:42,880 --> 00:10:47,280
+القيمة التانية الموجودة مع بعض بقسمهم على بعض بطلع
+
+123
+00:10:47,280 --> 00:10:52,120
+تاني الزاوية بطلع الزاوية غير درجة من 53 من قسمة 1
+
+124
+00:10:52,120 --> 00:10:59,300
+القيمة هذهمعادلة واحد على معادلة اتنين بطلع اندتان
+
+125
+00:10:59,300 --> 00:11:03,640
+الزاوية او بطلع cosine على هنا طبعا بعوض V final
+
+126
+00:11:03,640 --> 00:11:07,620
+sin الزاوية cosine على ال sign هو اللي بعطيك التان
+
+127
+00:11:07,620 --> 00:11:10,840
+و بطلع قيمة الزاوية بعد ما بطلع قيمة الزاوية بعوض
+
+128
+00:11:10,840 --> 00:11:15,380
+عنها في المعادلة هذه او المعادلة التحت بطلع قيمة V
+
+129
+00:11:15,380 --> 00:11:22,940
+final بكون حددت المطلوب مني السرعة النهائية بعد
+
+130
+00:11:22,940 --> 00:11:30,480
+اقتصادهممصورة على ابتدائية وزاوية التصادم مثل آخر
+
+131
+00:11:30,480 --> 00:11:39,120
+بيقول عنده كتلتين او جسمين التصادم اللي بينهم فيه
+
+132
+00:11:39,120 --> 00:11:43,500
+تصادم بينهم، بدي اشوف هل التصادم مرن و لا مش مرن
+
+133
+00:11:43,500 --> 00:11:48,260
+ايش بدي اعمل؟ بدي اقول كتلة الأولى ام واحد وهنا
+
+134
+00:11:48,260 --> 00:11:52,360
+الكتلة التانية ام اتنيناصطدموا في بعض اما اتنين
+
+135
+00:11:52,360 --> 00:11:57,460
+كانت ساكنة في اتنين inertia بتساوي zero كانت rest
+
+136
+00:11:57,460 --> 00:12:01,240
+after collision ده particle two particle اللي هو
+
+137
+00:12:01,240 --> 00:12:04,700
+بنفس كتلة ال mass سرعة في واحد inertia القيمتها
+
+138
+00:12:04,700 --> 00:12:09,800
+بتساوي تلاتة و نص في عشر عقل خمس متر على السكن
+
+139
+00:12:09,800 --> 00:12:12,940
+اصطدموا
+
+140
+00:12:12,940 --> 00:12:18,600
+مع بعض وبعد اتصادهم انطلقوا في زوايا واحد ثيتا
+
+141
+00:12:18,600 --> 00:12:25,750
+وهدى عندى fiveبدي اوجد السرعات بعد التصادم طبعا
+
+142
+00:12:25,750 --> 00:12:28,750
+بدي اجي اطلع للمعادلة يقولنا انت باهي التصادم وفيه
+
+143
+00:12:28,750 --> 00:12:33,750
+نوعين منه تصادم قبل طبعا معروف انه lasting تصادم
+
+144
+00:12:33,750 --> 00:12:40,130
+هذا نيجي نطلع ايش جال هنا تصادم
+
+145
+00:12:40,130 --> 00:12:45,330
+marine مازال مارين بيكون عنده معادلة لل X للموينتم
+
+146
+00:12:45,330 --> 00:12:51,800
+معادلة لل Y للموينتم معادلة تالتة اللي هيبتبعت ال
+
+147
+00:12:51,800 --> 00:12:57,620
+energy ال kinetic energy اول حاجة المعادلة الأولى
+
+148
+00:12:57,620 --> 00:13:04,860
+للموينتم بي واحد بي نفس الاشهر بي اكس بي اكس بي
+
+149
+00:13:04,860 --> 00:13:09,680
+initial اكس بي ثاول بي final اكس اذا هنا بي
+
+150
+00:13:09,680 --> 00:13:16,780
+initial اكس بي ثاول بي final اكس لكن هنا كتل تاني
+
+151
+00:13:16,780 --> 00:13:22,740
+بالثاول زيرو ليش لانه ساكنم1 في v1 initial في
+
+152
+00:13:22,740 --> 00:13:26,560
+اتجاه ال X زائد م2 في v2 initial في اتجاه ال X م1
+
+153
+00:13:26,560 --> 00:13:32,380
+في v1 final في اتجاه ال X هنا ايش بدى اعمل؟ بدى
+
+154
+00:13:32,380 --> 00:13:38,580
+احلل السرعتين v1 final cosine و v1 final sine
+
+155
+00:13:40,850 --> 00:13:48,210
+فاينال كوصين و V2 فاينال كوصين و V2 فاينال كوصين و
+
+156
+00:13:48,210 --> 00:13:53,790
+V2 فاينال كوصين و V2 فاينال كوصين و V2 فاينال
+
+157
+00:13:53,790 --> 00:13:53,810
+فاينال كوصين و V2 فاينال كوصين و V2 فاينال كوصين و
+
+158
+00:13:53,810 --> 00:13:54,230
+كوصين و V2 فاينال كوصين و V2 فاينال كوصين و V2
+
+159
+00:13:54,230 --> 00:13:57,290
+فاينال كوصين و V2 فاينال كوصين و V2 فاينال كوصين و
+
+160
+00:13:57,290 --> 00:14:07,060
+V2 فاينال كوصين و V2 فاينالفى V1 initial اللى فى
+
+161
+00:14:07,060 --> 00:14:12,100
+اتجاه ال Y زائد M2 V2 initial اللى فى اتجاه ال Y
+
+162
+00:14:12,100 --> 00:14:15,540
+لاحظوا 1 initial كله فى اتجاه ال X مافيش له فى
+
+163
+00:14:15,540 --> 00:14:19,120
+اتجاه ال Y التانى صريعته اتجاه ال X و اتجاه ال Y
+
+164
+00:14:19,120 --> 00:14:24,760
+بيساوي 0 اذا كله بيساوي ايه؟ Zero بيساوي M1 فى
+
+165
+00:14:24,760 --> 00:14:29,560
+اتجاه ال Y فى عند V1 صيني الزاوية M2 V2 صيني
+
+166
+00:14:29,560 --> 00:14:35,620
+الزاوية بس بإشارة مالها إشارتها سالبةبسوء معادل
+
+167
+00:14:35,620 --> 00:14:39,740
+رقم اتنين هي معادل رقم واحد و معادل رقم اتنين بعد
+
+168
+00:14:39,740 --> 00:14:45,240
+هيك بجيب معادل رقم تلاتة اللي هي من مين ال kinetic
+
+169
+00:14:45,240 --> 00:14:54,460
+energy قبل بسوء ال kinetic energy بعد K initial
+
+170
+00:14:54,460 --> 00:15:00,800
+بسوء ال K final بطبق المعادلتين K واحد initialفى
+
+171
+00:15:00,800 --> 00:15:05,580
+V1 initial square زائد K2 initial أسف M1 فى V1
+
+172
+00:15:05,580 --> 00:15:10,160
+initial فى اتجاه M1 فى V1 initial square بنص طبعا
+
+173
+00:15:10,160 --> 00:15:14,820
+زائد M2 فى V2 initial هنا قيمتهم Zero لإن صرحتوا
+
+174
+00:15:14,820 --> 00:15:19,460
+كانت سوى Zero بسوى نص M1 V1 final square زائد نص
+
+175
+00:15:19,460 --> 00:15:23,840
+M2 V2 final square كله الأمات متساوية بيروحوا مع
+
+176
+00:15:23,840 --> 00:15:28,240
+بعض والانصاص بيروحوا مع بعض بتضال معادل رقم تلاتى
+
+177
+00:15:30,080 --> 00:15:34,400
+معادلة واحد و معادلة اتنين و معادلة تلاتي بشتغل
+
+178
+00:15:34,400 --> 00:15:40,040
+فيهم وبحلهم وبطلع في الآخر اللي هي قيم الزوايا
+
+179
+00:15:40,040 --> 00:15:44,340
+والسرعات قيم
+
+180
+00:15:44,340 --> 00:15:48,440
+الزوايا والسرعات اللي موجودة عنديماشي إذا معدل
+
+181
+00:15:48,440 --> 00:15:51,440
+واحد و معدل رقم اتنين طبعا لما يكون أرقام يكون
+
+182
+00:15:51,440 --> 00:15:54,800
+حلهم ايش أسهل من التعوضات اللي بيصير عندك في
+
+183
+00:15:54,800 --> 00:15:58,680
+المعادلات اللي .. اللي .. اللي فيها رموز ماشي
+
+184
+00:15:58,680 --> 00:16:02,100
+المعدل رقم أربعة و معدل رقم خمس بعد ما حل واحد و
+
+185
+00:16:02,100 --> 00:16:07,980
+اتنين وضعتهم في بعض بيطلع عنده اللي هو قيمة V1
+
+186
+00:16:07,980 --> 00:16:11,280
+final اتنين و تمانية في عشرة اقصى خمسة و قيمة V2
+
+187
+00:16:11,280 --> 00:16:15,950
+final اللي هي اتنين في عشرة اقصى خمسةيعطيكم
+
+188
+00:16:15,950 --> 00:16:19,190
+العافية و هي كمان نكون خلصنا شفطة تسعة، شفطة تسعة
+
+189
+00:16:19,190 --> 00:16:26,090
+كمان مرة، شفطة سهل، هو مراجعة أو جزء منه كبير مرة
+
+190
+00:16:26,090 --> 00:16:32,230
+عليكم و ان شاء الله ربنا يوفقكم في فيزيا ألف،
+
+191
+00:16:32,230 --> 00:16:32,870
+يعطيكم العافية
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/9USiQZD5Cug_raw.json b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/9USiQZD5Cug_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..b014c2c495de50c6b852fe6cbfad37bbbcf8eac6
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/9USiQZD5Cug_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 3431, "start": 5.21, "end": 34.31, "text": "بسم الله الرحمن الرحيم يعطيكوا العافية ان شاء الله اليوم هنكمل شبتر تسعة شبتر تسعة أخدنا محاضرتين فيه اليوم محاضرة تالتة طبعا شبتر تسعة بتكلم عن ال collisions اللي هو التصادمات التصادمات لما اتكلمنا عنها أول حاجة أخدنا مقدمة اللي هو ال impulse بعد ذلك حسبنا ال impulse وكيف بقدر أحسب انه اش واحد two طبعا هو تغير في كمية التحرك لجسم واحد", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 37495, 9566, 1829, 4117, 14407, 18863, 31845, 10632, 16472, 13412, 16606, 21984, 45595, 20498, 8032, 1863, 24793, 1211, 13412, 3555, 2655, 2288, 6055, 3794, 27884, 13412, 3555, 2655, 2288, 6055, 3794, 27884, 5551, 9778, 3215, 8315, 3714, 5016, 46958, 43500, 9957, 8978, 3224, 45595, 20498, 3714, 5016, 46958, 25720, 6055, 6027, 2655, 3660, 23032, 3555, 3615, 995, 13412, 3555, 2655, 2288, 6055, 3794, 27884, 39894, 4117, 19528, 18871, 2423, 46537, 13672, 1829, 31439, 16712, 9381, 18513, 2304, 9307, 16712, 9381, 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{"start": 171.23, "end": 171.67, "word": " اتنين", "probability": 0.8240966796875}, {"start": 171.67, "end": 172.15, "word": " initial", "probability": 0.93896484375}, {"start": 172.15, "end": 172.55, "word": " اللي", "probability": 0.976806640625}, {"start": 172.55, "end": 172.65, "word": " في", "probability": 0.97802734375}, {"start": 172.65, "end": 173.23, "word": " اتجاه", "probability": 0.986572265625}, {"start": 173.23, "end": 173.71, "word": " ال", "probability": 0.93310546875}, {"start": 173.71, "end": 174.11, "word": " X", "probability": 0.99267578125}, {"start": 174.11, "end": 175.37, "word": " بتساوي", "probability": 0.90673828125}, {"start": 175.37, "end": 176.05, "word": " B", "probability": 0.849609375}, {"start": 176.05, "end": 176.37, "word": " واحد", "probability": 0.974365234375}, {"start": 176.37, "end": 176.87, "word": " final", "probability": 0.90673828125}, {"start": 176.87, "end": 177.57, "word": " اللي", "probability": 0.990478515625}, {"start": 177.57, "end": 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0.9951171875}], "temperature": 1.0}, {"id": 8, "seek": 20963, "start": 183.33, "end": 209.63, "text": "و كذلك ال Y بنفس الطريقة بقول بيوة Y Y Y Y اللي هو ال initial في اتجاه الأول و التاني في اتجاه ال Y سواء ال final الأول و ال final التاني في اتجاه ال Y ال elastic collision ال equation of energy is not changed طبعا", "tokens": [2407, 9122, 8848, 23275, 2423, 398, 44945, 36178, 41950, 16572, 28671, 4724, 39648, 4724, 1829, 2407, 3660, 398, 398, 398, 398, 13672, 1829, 31439, 2423, 5883, 8978, 1975, 2655, 7435, 40294, 16247, 12610, 4032, 16712, 7649, 1829, 8978, 1975, 2655, 7435, 40294, 2423, 398, 8608, 2407, 16606, 2423, 2572, 16247, 12610, 4032, 2423, 2572, 16712, 7649, 1829, 8978, 1975, 2655, 7435, 40294, 2423, 398, 2423, 17115, 24644, 2423, 5367, 295, 2281, 307, 406, 3105, 23032, 3555, 3615, 995], "avg_logprob": -0.2774920780447465, "compression_ratio": 1.738888888888889, "no_speech_prob": 0.0, "words": [{"start": 183.33, "end": 183.55, "word": "و", "probability": 0.8193359375}, 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collision اذا ال elastic collision باضيف عليه هذا معادل رقم واحد للمراكبة الصينية هذا رقم اتنين للمراكبة الصينية بيظل عند ال K initial بيساوي ال K ال K initial بيساوي ال K final يعني انا بقدر اقول نص M", "tokens": [2670, 732, 12819, 37495, 22653, 9122, 2304, 10632, 16712, 5016, 31747, 12174, 36150, 4724, 1829, 3794, 995, 45865, 9122, 2304, 10632, 16712, 5016, 31747, 39182, 1975, 15730, 25961, 2655, 6055, 9381, 18513, 2304, 9122, 2304, 7649, 3714, 25720, 4724, 39648, 6055, 9381, 18513, 2304, 17115, 24644, 1975, 15730, 2423, 17115, 24644, 4724, 46958, 33911, 47356, 23758, 20449, 18513, 1211, 12602, 4587, 2304, 36764, 24401, 5296, 19528, 23557, 4117, 49401, 31767, 9957, 10632, 23758, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 5296, 19528, 23557, 4117, 49401, 31767, 9957, 10632, 4724, 1829, 19913, 1211, 43242, 2423, 591, 5883, 4724, 1829, 3794, 995, 45865, 2423, 591, 2423, 591, 5883, 4724, 1829, 3794, 995, 45865, 2423, 591, 2572, 37495, 22653, 1975, 8315, 4724, 28543, 2288, 1975, 39648, 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"probability": 0.4443359375}, {"start": 221.72, "end": 222.2, "word": " collision", "probability": 0.9169921875}, {"start": 222.2, "end": 222.76, "word": " باضيف", "probability": 0.83349609375}, {"start": 222.76, "end": 223.14, "word": " عليه", "probability": 0.958984375}, {"start": 223.14, "end": 223.38, "word": " هذا", "probability": 0.8408203125}, {"start": 223.38, "end": 223.82, "word": " معادل", "probability": 0.97021484375}, {"start": 223.82, "end": 224.12, "word": " رقم", "probability": 0.9697265625}, {"start": 224.12, "end": 224.64, "word": " واحد", "probability": 0.953125}, {"start": 224.64, "end": 225.52, "word": " للمراكبة", "probability": 0.88271484375}, {"start": 225.52, "end": 226.12, "word": " الصينية", "probability": 0.8280436197916666}, {"start": 226.12, "end": 226.52, "word": " هذا", "probability": 0.7001953125}, {"start": 226.52, "end": 226.84, "word": " رقم", "probability": 0.9892578125}, {"start": 226.84, "end": 227.36, "word": " اتنين", "probability": 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0.992431640625}], "temperature": 1.0}, {"id": 38, "seek": 99287, "start": 975.41, "end": 992.87, "text": "يعطيكم العافية و هي كمان نكون خلصنا شفطة تسعة، شفطة تسعة كمان مرة، شفطة سهل، هو مراجعة أو جزء منه كبير مرة عليكم و ان شاء الله ربنا يوفقكم في فيزيا ألف، يعطيكم العافية", "tokens": [40228, 9566, 1829, 24793, 18863, 31845, 10632, 4032, 39896, 9122, 2304, 7649, 8717, 30544, 16490, 1211, 9381, 8315, 13412, 5172, 9566, 3660, 6055, 3794, 27884, 12399, 13412, 5172, 9566, 3660, 6055, 3794, 27884, 9122, 2304, 7649, 3714, 25720, 12399, 13412, 5172, 9566, 3660, 8608, 3224, 1211, 12399, 31439, 3714, 2288, 26108, 27884, 34051, 10874, 11622, 38207, 9154, 3224, 9122, 3555, 13546, 3714, 25720, 25894, 24793, 4032, 16472, 13412, 16606, 21984, 12602, 3555, 8315, 7251, 38688, 4587, 24793, 8978, 8978, 11622, 25528, 5551, 46538, 12399, 37495, 9566, 1829, 24793, 18863, 31845, 10632], "avg_logprob": -0.164062506802704, "compression_ratio": 1.8695652173913044, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 975.41, "end": 975.95, "word": "يعطيكم", "probability": 0.841552734375}, {"start": 975.95, "end": 976.41, "word": " العافية", "probability": 0.8382161458333334}, {"start": 976.41, "end": 976.79, "word": " و", "probability": 0.57421875}, {"start": 976.79, "end": 976.89, "word": " هي", "probability": 0.7529296875}, {"start": 976.89, "end": 977.09, "word": " كمان", "probability": 0.6232096354166666}, {"start": 977.09, "end": 977.25, "word": " نكون", "probability": 0.6575927734375}, {"start": 977.25, "end": 977.67, "word": " خلصنا", "probability": 0.9876708984375}, {"start": 977.67, "end": 977.95, "word": " شفطة", "probability": 0.57403564453125}, {"start": 977.95, "end": 978.69, "word": " تسعة،", "probability": 0.83868408203125}, {"start": 978.69, "end": 978.97, "word": " شفطة", "probability": 0.98046875}, {"start": 978.97, "end": 979.19, "word": " تسعة", "probability": 0.9881184895833334}, {"start": 979.19, "end": 979.55, "word": " كمان", "probability": 0.9947916666666666}, {"start": 979.55, "end": 980.05, "word": " مرة،", "probability": 0.83935546875}, {"start": 980.05, "end": 980.33, "word": " شفطة", "probability": 0.9866943359375}, {"start": 980.33, "end": 981.43, "word": " سهل،", "probability": 0.8758544921875}, {"start": 981.43, "end": 982.11, "word": " هو", "probability": 0.96044921875}, {"start": 982.11, "end": 983.55, "word": " مراجعة", "probability": 0.953125}, {"start": 983.55, "end": 983.93, "word": " أو", "probability": 0.7666015625}, {"start": 983.93, "end": 984.43, "word": " جزء", "probability": 0.9967447916666666}, {"start": 984.43, "end": 984.67, "word": " منه", "probability": 0.988037109375}, {"start": 984.67, "end": 985.09, "word": " كبير", "probability": 0.9959309895833334}, {"start": 985.09, "end": 986.09, "word": " مرة", "probability": 0.4901123046875}, {"start": 986.09, "end": 986.59, "word": " عليكم", "probability": 0.937255859375}, {"start": 986.59, "end": 987.51, "word": " و", "probability": 0.96826171875}, {"start": 987.51, "end": 987.71, "word": " ان", "probability": 0.73974609375}, {"start": 987.71, "end": 987.85, "word": " شاء", "probability": 0.969970703125}, {"start": 987.85, "end": 987.95, "word": " الله", "probability": 0.94677734375}, {"start": 987.95, "end": 988.35, "word": " ربنا", "probability": 0.9910481770833334}, {"start": 988.35, "end": 989.25, "word": " يوفقكم", "probability": 0.9173583984375}, {"start": 989.25, "end": 990.33, "word": " في", "probability": 0.94921875}, {"start": 990.33, "end": 991.37, "word": " فيزيا", "probability": 0.8671875}, {"start": 991.37, "end": 992.23, "word": " ألف،", "probability": 0.7337239583333334}, {"start": 992.23, "end": 992.51, "word": " يعطيكم", "probability": 0.8504638671875}, {"start": 992.51, "end": 992.87, "word": " العافية", "probability": 0.9586588541666666}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 993.09425, "duration_after_vad": 954.4612500000012}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/9USiQZD5Cug_raw.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/9USiQZD5Cug_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e86e2b3198f55d43bda8f199031a6b8bd935e903
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/9USiQZD5Cug_raw.srt
@@ -0,0 +1,772 @@
+1
+00:00:05,210 --> 00:00:08,010
+بسم الله الرحمن الرحيم يعطيكوا العافية ان شاء الله
+
+2
+00:00:08,010 --> 00:00:13,450
+اليوم هنكمل شبتر تسعة شبتر تسعة أخدنا محاضرتين فيه
+
+3
+00:00:13,450 --> 00:00:16,650
+اليوم محاضرة تالتة طبعا شبتر تسعة بتكلم عن ال
+
+4
+00:00:16,650 --> 00:00:22,590
+collisions اللي هو التصادمات التصادمات لما اتكلمنا
+
+5
+00:00:22,590 --> 00:00:25,930
+عنها أول حاجة أخدنا مقدمة اللي هو ال impulse بعد
+
+6
+00:00:25,930 --> 00:00:30,770
+ذلك حسبنا ال impulse وكيف بقدر أحسب انه اش واحد
+
+7
+00:00:30,770 --> 00:00:35,490
+two طبعا هو تغير في كمية التحرك لجسم واحدو جولد
+
+8
+00:00:35,490 --> 00:00:38,830
+لانباردس هو vector و ممكن احسب من خلال ال force و
+
+9
+00:00:38,830 --> 00:00:43,950
+الزمن اتصادهم بعد هيك ال collision يتقسم لقسمين
+
+10
+00:00:43,950 --> 00:00:47,410
+اللي هو elastic collision و inelastic collision ال
+
+11
+00:00:47,410 --> 00:00:51,420
+elastic بيكون في end moment متشابهقبل بيساوي بعد
+
+12
+00:00:51,420 --> 00:00:57,720
+before بيساوي after كذلك ال kinetic energy قبل
+
+13
+00:00:57,720 --> 00:01:01,980
+بيساوي ال kinetic energy بعد بعد هيك قولت في عندي
+
+14
+00:01:01,980 --> 00:01:06,100
+inelastic collision ال inelastic collision هو ال
+
+15
+00:01:06,100 --> 00:01:09,780
+momentum متساوي لكن إيش المختلف في عندي loss
+
+16
+00:01:09,780 --> 00:01:13,300
+energy إذا ذاكرين loss في ال kinetic energy اللي
+
+17
+00:01:13,300 --> 00:01:17,400
+هي ال K initial ناقص ال K final و قولت في نوع خاص
+
+18
+00:01:18,130 --> 00:01:22,450
+أو special case اللي هو بسميها perfectly in
+
+19
+00:01:22,450 --> 00:01:25,130
+elastic collision الاتنين بسقطهم مع بعض و بمشوا
+
+20
+00:01:25,130 --> 00:01:29,670
+كجسم واحد أخدنا مجموعة من الأمثلة و أقول أول حاجة
+
+21
+00:01:29,670 --> 00:01:32,570
+اتكلمنا في ال one dimension و بعد هي أخدنا مجموعة
+
+22
+00:01:32,570 --> 00:01:37,950
+من الأمثلة و حلينا عليها اليوم بعد ما نخلص ال one
+
+23
+00:01:37,950 --> 00:01:41,150
+dimension خدنا المثل الخامس و السادس بدي اتكلم عن
+
+24
+00:01:41,150 --> 00:01:45,270
+ال two dimension قبل ما اتكلم عن ال two dimension
+
+25
+00:01:45,270 --> 00:01:51,750
+ال momentum vectorلما اقول بي initial بيثاول بي
+
+26
+00:01:51,750 --> 00:01:55,590
+final لل system ال collision طبعا ده بي initial
+
+27
+00:01:55,590 --> 00:02:02,470
+واحد ال one dimension زائد بي initial اتنين بيثاول
+
+28
+00:02:02,470 --> 00:02:08,090
+بي final واحد زائد بي final اتنينطبعا في الأصل هذا
+
+29
+00:02:08,090 --> 00:02:11,090
+vector طب ال vector إذا كان واحد dimension بيمشي
+
+30
+00:02:11,090 --> 00:02:14,670
+الحال لكن إذا two dimension إيش بده أعمله في end
+
+31
+00:02:14,670 --> 00:02:19,670
+vector بيساوي vector الأصل المراكبة الصينية بتساوي
+
+32
+00:02:19,670 --> 00:02:22,790
+ال X component بيساوي ال Y component يعني الأصل
+
+33
+00:02:22,790 --> 00:02:31,550
+هذا في X ب initial X بتساوي ب final X واحد ورقم
+
+34
+00:02:31,550 --> 00:02:39,310
+اتنين ب initial Y بتساوي ب final Yطبعا هذه اتنين
+
+35
+00:02:39,310 --> 00:02:47,350
+المعكبة التانية يعني بقدر اقول B initial او واحد
+
+36
+00:02:47,350 --> 00:02:52,150
+initial اللي في اتجاه ال X زائد B اتنين initial
+
+37
+00:02:52,150 --> 00:02:57,650
+اللي في اتجاه ال X بتساوي B واحد final اللي في
+
+38
+00:02:57,650 --> 00:03:03,550
+اتجاه ال X زائد B اتنين final اللي في اتجاه ال Xو
+
+39
+00:03:03,550 --> 00:03:10,630
+كذلك ال Y بنفس الطريقة بقول بيوة Y Y Y Y اللي هو
+
+40
+00:03:10,630 --> 00:03:14,550
+ال initial في اتجاه الأول و التاني في اتجاه ال Y
+
+41
+00:03:14,550 --> 00:03:18,530
+سواء ال final الأول و ال final التاني في اتجاه ال
+
+42
+00:03:18,530 --> 00:03:27,110
+Y ال elastic collision ال equation of energy is
+
+43
+00:03:27,110 --> 00:03:29,630
+not changed طبعا
+
+44
+00:03:31,020 --> 00:03:34,800
+of two dimensions يعني كمية التحرك قبل بيساوي كمية
+
+45
+00:03:34,800 --> 00:03:39,600
+التحرك بعد اذا كانت تصادم كمان مرة بقول تصادم
+
+46
+00:03:39,600 --> 00:03:42,760
+elastic collision اذا ال elastic collision باضيف
+
+47
+00:03:42,760 --> 00:03:46,840
+عليه هذا معادل رقم واحد للمراكبة الصينية هذا رقم
+
+48
+00:03:46,840 --> 00:03:51,100
+اتنين للمراكبة الصينية بيظل عند ال K initial
+
+49
+00:03:51,100 --> 00:03:55,520
+بيساوي ال K ال K initial بيساوي ال K final يعني
+
+50
+00:03:55,520 --> 00:04:01,450
+انا بقدر اقول نص Mوهذا scale up نص ام V واحد
+
+51
+00:04:01,450 --> 00:04:06,670
+initial square زائد نص ام V اتنين initial square
+
+52
+00:04:06,670 --> 00:04:13,350
+بيساوي نص ام V واحد final square زائد نص ام V
+
+53
+00:04:13,350 --> 00:04:15,890
+اتنين final square كمان المعادلة في ال kinetic
+
+54
+00:04:15,890 --> 00:04:23,430
+energy بتتغيرش لإنه انا بتتكلم V و V square V dot
+
+55
+00:04:23,430 --> 00:04:29,970
+ال V بيعطينا كمية مالها قياسيةنجي ناخد مثال بيقول
+
+56
+00:04:29,970 --> 00:04:33,690
+في عندي مثال قبل ما اتكلم في المثال بدي انا اضرب
+
+57
+00:04:33,690 --> 00:04:41,490
+مثال عشوائي هيك و اقول فيه جسمين الجسم الأول بصدم
+
+58
+00:04:41,490 --> 00:04:46,090
+في الجسم التاني الجسم جاي زي هيك و الجسم التاني
+
+59
+00:04:46,090 --> 00:04:54,210
+جاي زي هيك هذا M1 له و هذا M2 اصطدموا مع بعض بعد
+
+60
+00:04:54,210 --> 00:05:01,340
+اتصادهمطلعوا في اتجاهين هذا ام واحد مثلا هنا و هنا
+
+61
+00:05:01,340 --> 00:05:04,860
+ام اتنين هذا اتحرك بزاوية تانية و هذا اتحرك بزاوية
+
+62
+00:05:04,860 --> 00:05:10,280
+تانية ايش بدنا نعمل اول حاجة السرعة هي هذه V واحد
+
+63
+00:05:10,280 --> 00:05:17,340
+initial V اتنين initial هذه V واحد final V اتنين
+
+64
+00:05:17,340 --> 00:05:26,430
+final بدى اروح احدد المحاور محور X ومحور Yأيش اللي
+
+65
+00:05:26,430 --> 00:05:31,910
+بدها تحليل؟ بدها تحليل ال V خاصة هنا في عند V1
+
+66
+00:05:31,910 --> 00:05:36,810
+initial المركبة X و هنا اتجاهها لأن الاتجاهات
+
+67
+00:05:36,810 --> 00:05:40,810
+عبارة عن مين؟ عن إشارات بدي أعوض عنها هذا إشارته
+
+68
+00:05:40,810 --> 00:05:46,030
+زي هيك بالموجة هذا إشارته لتحت، بدها تكون V1
+
+69
+00:05:46,030 --> 00:05:50,010
+initial اللي في اتجاه ال Y و هتكون بالسالب، اتجاه
+
+70
+00:05:50,010 --> 00:05:54,390
+الأسفل كذلك تحدد هذا بنفس الإشارة، هيكون عند V2
+
+71
+00:05:54,390 --> 00:06:01,370
+initialللـ X وكمان اتجاهها V2 initial اللي في
+
+72
+00:06:01,370 --> 00:06:07,950
+اتجاه ال Y زي هيك جاي اتحلل لمركبين وكذلك ال final
+
+73
+00:06:07,950 --> 00:06:18,900
+بدي احلله لمركبين V1 final X V1 final Yv2 final y
+
+74
+00:06:18,900 --> 00:06:23,900
+v2 final x وعوض في المعدلتين أساسيا ما يلأخذ
+
+75
+00:06:23,900 --> 00:06:29,380
+بالاعتبار هذا θ واحد مثلا هذا في هنا θ او incident
+
+76
+00:06:29,380 --> 00:06:35,050
+او واحد او اتنين هنا في اتنينأي أسماء و بدأ تقول
+
+77
+00:06:35,050 --> 00:06:37,690
+cosine و sine الجريم من الزاوية باخد ال cosine و
+
+78
+00:06:37,690 --> 00:06:41,210
+البعيد من الزاوية باخد ال sine و بحلل أو بطلع
+
+79
+00:06:41,210 --> 00:06:45,590
+معدلتين فيهم theta واحد و theta اتنين و phi واحد و
+
+80
+00:06:45,590 --> 00:06:48,950
+phi اتنين و اشوف ايش المجهول عنده و اذا اتصادوا
+
+81
+00:06:48,950 --> 00:06:51,770
+مارين بحط ال kinetic energy بسوء ال kinetic final
+
+82
+00:06:51,770 --> 00:06:56,930
+نجي ناخد المثال موجود عنده بيقول فيه ان سيارتين
+
+83
+00:06:56,930 --> 00:07:05,380
+اصطدموا في بعضالسيارة الأولى كانت تتحرك في اتجاه
+
+84
+00:07:05,380 --> 00:07:11,240
+محور X فقط يعني V هنا واحد initial ايش بتساوي خمسة
+
+85
+00:07:11,240 --> 00:07:15,980
+وعشرين متر على ال second اتجاهها في اتجاه ال X
+
+86
+00:07:15,980 --> 00:07:21,560
+التاني كانت تتحرك عشرين متر V اتنين initial ك
+
+87
+00:07:21,560 --> 00:07:28,050
+vector عشرين في اتجاه ال Yاصطدموا مع بعض واتحركوا
+
+88
+00:07:28,050 --> 00:07:32,870
+مع بعض في زاوية مقدارها θ يعني السؤال مانو شكل
+
+89
+00:07:32,870 --> 00:07:35,970
+أسهل من هنا بدل منقول ان دي θ واحد و θ اتنين و في
+
+90
+00:07:35,970 --> 00:07:41,190
+واحد و في اتنين لأ هذا شكل سهل و θ واحد فقط و
+
+91
+00:07:41,190 --> 00:07:46,560
+معادلات هتكون سلسة جدا ايش بنعمل؟الأول أنا يبدأ
+
+92
+00:07:46,560 --> 00:07:49,480
+أحللها هل بدأ تحليل؟ لأ بلقيها كلها في اتجاه ال X
+
+93
+00:07:49,480 --> 00:07:54,080
+يعني لو قلت V1 initial اللي في اتجاه ال Y هتكون
+
+94
+00:07:54,080 --> 00:07:59,240
+قيمتها Zero هنا V2 initial اللي في اتجاه ال X
+
+95
+00:07:59,240 --> 00:08:07,200
+قيمتها Zero ال V final بدها تحليل VX و هنا VY
+
+96
+00:08:07,200 --> 00:08:12,920
+Final Y و Final Xهو بتكون معادلة أولى و معادلة
+
+97
+00:08:12,920 --> 00:08:18,100
+تانية طبعا v final x اللى بيساوي v final cos θ و
+
+98
+00:08:18,100 --> 00:08:24,900
+هنا v final y بيساوي v final sin θ بدي أحللهم
+
+99
+00:08:24,900 --> 00:08:27,100
+أساوي المعادلة تانية اللى في اتجاه اتكلم عن ال
+
+100
+00:08:27,100 --> 00:08:30,060
+momentum بدي اقول momentum في اتجاه ال x بيساوي ال
+
+101
+00:08:30,060 --> 00:08:34,300
+momentum اللى في اتجاه ال x طبعا قبل بدي اساوي بعد
+
+102
+00:08:34,300 --> 00:08:41,700
+بدي اكتب اول حاجة M1في V1 initial في اتجاه ال X
+
+103
+00:08:41,700 --> 00:08:49,220
+طبعا زائد M2 في V2 initial في اتجاه ال X يسوى M1
+
+104
+00:08:49,220 --> 00:09:00,940
+زائد M2 في V final X M1 V1 initial X هي M1 في 25
+
+105
+00:09:00,940 --> 00:09:10,310
+اذا M1 V1 initial X 1500 ضرب 25هذا في اتجاه ال X
+
+106
+00:09:10,310 --> 00:09:16,190
+الها في اتجاه زائد M2 ايا كان قيمتها M2 الفين و
+
+107
+00:09:16,190 --> 00:09:22,050
+خمسمية مضروبة في Zero ليش مضروبة في Zero لأن V2
+
+108
+00:09:22,050 --> 00:09:25,850
+initial مُركّب الصينية قيمتها Zero فشيلها كلها في
+
+109
+00:09:25,850 --> 00:09:30,810
+اتجاه ال Y بساوي الف و خمسمية الكتلة الأولى زائد
+
+110
+00:09:30,810 --> 00:09:35,110
+الفين و خمسمية مضروبة في ال V final اللي في اتجاه
+
+111
+00:09:35,110 --> 00:09:42,810
+ال Xأو بقدر أحطها V final cos θ مش هتفرق كتير
+
+112
+00:09:42,810 --> 00:09:49,890
+بعدين معادلة تانية لتجاه ال Y M1 V1 initial Y زائد
+
+113
+00:09:49,890 --> 00:09:56,790
+M2 V2 initial في تجاه ال Y مواحد زائد M2 في V
+
+114
+00:09:56,790 --> 00:10:02,760
+final Yهذا Zero لأن هو الهاش كل مركبتها في اتجاه
+
+115
+00:10:02,760 --> 00:10:08,380
+ال X ايش بيظل عنده هذه القيمة زائد 2500 كتلة تانية
+
+116
+00:10:08,380 --> 00:10:13,680
+مضروبة في عشرين هذه سريعتها قبل التصادم عشرين
+
+117
+00:10:13,680 --> 00:10:23,940
+بيساوي 3500 كتلتين مع بعض أسف 4000 في
+
+118
+00:10:23,940 --> 00:10:27,820
+ال V finalطبعا بجيب القيمة هذه وبجيب القيمة هذه
+
+119
+00:10:27,820 --> 00:10:33,260
+بقسم المعادلتين على بعض بطلع عنده تاني الزاوية هذا
+
+120
+00:10:33,260 --> 00:10:36,360
+المعادلتين بقسمهم على بعض وهذا بقسم الرقم على هذا
+
+121
+00:10:36,360 --> 00:10:42,880
+الرقم بطلع عنده تاني الزاوية بسوء القيمة هذه على
+
+122
+00:10:42,880 --> 00:10:47,280
+القيمة التانية الموجودة مع بعض بقسمهم على بعض بطلع
+
+123
+00:10:47,280 --> 00:10:52,120
+تاني الزاوية بطلع الزاوية غير درجة من 53 من قسمة 1
+
+124
+00:10:52,120 --> 00:10:59,300
+القيمة هذهمعادلة واحد على معادلة اتنين بطلع اندتان
+
+125
+00:10:59,300 --> 00:11:03,640
+الزاوية او بطلع cosine على هنا طبعا بعوض V final
+
+126
+00:11:03,640 --> 00:11:07,620
+sin الزاوية cosine على ال sign هو اللي بعطيك التان
+
+127
+00:11:07,620 --> 00:11:10,840
+و بطلع قيمة الزاوية بعد ما بطلع قيمة الزاوية بعوض
+
+128
+00:11:10,840 --> 00:11:15,380
+عنها في المعادلة هذه او المعادلة التحت بطلع قيمة V
+
+129
+00:11:15,380 --> 00:11:22,940
+final بكون حددت المطلوب مني السرعة النهائية بعد
+
+130
+00:11:22,940 --> 00:11:30,480
+اقتصادهممصورة على ابتدائية وزاوية التصادم مثل آخر
+
+131
+00:11:30,480 --> 00:11:39,120
+بيقول عنده كتلتين او جسمين التصادم اللي بينهم فيه
+
+132
+00:11:39,120 --> 00:11:43,500
+تصادم بينهم، بدي اشوف هل التصادم مرن و لا مش مرن
+
+133
+00:11:43,500 --> 00:11:48,260
+ايش بدي اعمل؟ بدي اقول كتلة الأولى ام واحد وهنا
+
+134
+00:11:48,260 --> 00:11:52,360
+الكتلة التانية ام اتنيناصطدموا في بعض اما اتنين
+
+135
+00:11:52,360 --> 00:11:57,460
+كانت ساكنة في اتنين inertia بتساوي zero كانت rest
+
+136
+00:11:57,460 --> 00:12:01,240
+after collision ده particle two particle اللي هو
+
+137
+00:12:01,240 --> 00:12:04,700
+بنفس كتلة ال mass سرعة في واحد inertia القيمتها
+
+138
+00:12:04,700 --> 00:12:09,800
+بتساوي تلاتة و نص في عشر عقل خمس متر على السكن
+
+139
+00:12:09,800 --> 00:12:12,940
+اصطدموا
+
+140
+00:12:12,940 --> 00:12:18,600
+مع بعض وبعد اتصادهم انطلقوا في زوايا واحد ثيتا
+
+141
+00:12:18,600 --> 00:12:25,750
+وهدى عندى fiveبدي اوجد السرعات بعد التصادم طبعا
+
+142
+00:12:25,750 --> 00:12:28,750
+بدي اجي اطلع للمعادلة يقولنا انت باهي التصادم وفيه
+
+143
+00:12:28,750 --> 00:12:33,750
+نوعين منه تصادم قبل طبعا معروف انه lasting تصادم
+
+144
+00:12:33,750 --> 00:12:40,130
+هذا نيجي نطلع ايش جال هنا تصادم
+
+145
+00:12:40,130 --> 00:12:45,330
+marine مازال مارين بيكون عنده معادلة لل X للموينتم
+
+146
+00:12:45,330 --> 00:12:51,800
+معادلة لل Y للموينتم معادلة تالتة اللي هيبتبعت ال
+
+147
+00:12:51,800 --> 00:12:57,620
+energy ال kinetic energy اول حاجة المعادلة الأولى
+
+148
+00:12:57,620 --> 00:13:04,860
+للموينتم بي واحد بي نفس الاشهر بي اكس بي اكس بي
+
+149
+00:13:04,860 --> 00:13:09,680
+initial اكس بي ثاول بي final اكس اذا هنا بي
+
+150
+00:13:09,680 --> 00:13:16,780
+initial اكس بي ثاول بي final اكس لكن هنا كتل تاني
+
+151
+00:13:16,780 --> 00:13:22,740
+بالثاول زيرو ليش لانه ساكنم1 في v1 initial في
+
+152
+00:13:22,740 --> 00:13:26,560
+اتجاه ال X زائد م2 في v2 initial في اتجاه ال X م1
+
+153
+00:13:26,560 --> 00:13:32,380
+في v1 final في اتجاه ال X هنا ايش بدى اعمل؟ بدى
+
+154
+00:13:32,380 --> 00:13:38,580
+احلل السرعتين v1 final cosine و v1 final sine
+
+155
+00:13:40,850 --> 00:13:48,210
+فاينال كوصين و V2 فاينال كوصين و V2 فاينال كوصين و
+
+156
+00:13:48,210 --> 00:13:53,790
+V2 فاينال كوصين و V2 فاينال كوصين و V2 فاينال
+
+157
+00:13:53,790 --> 00:13:53,790
+كوصين و V2 فاينال كوصين و V2 فاينال كوصين و V2
+
+158
+00:13:53,790 --> 00:13:53,810
+فاينال كوصين و V2 فاينال كوصين و V2 فاينال كوصين و
+
+159
+00:13:53,810 --> 00:13:53,810
+V2 فاينال كوصين و V2 فاينال كوصين و V2 فاينال
+
+160
+00:13:53,810 --> 00:13:54,230
+كوصين و V2 فاينال كوصين و V2 فاينال كوصين و V2
+
+161
+00:13:54,230 --> 00:13:57,290
+فاينال كوصين و V2 فاينال كوصين و V2 فاينال كوصين و
+
+162
+00:13:57,290 --> 00:14:07,060
+V2 فاينال كوصين و V2 فاينالفى V1 initial اللى فى
+
+163
+00:14:07,060 --> 00:14:12,100
+اتجاه ال Y زائد M2 V2 initial اللى فى اتجاه ال Y
+
+164
+00:14:12,100 --> 00:14:15,540
+لاحظوا 1 initial كله فى اتجاه ال X مافيش له فى
+
+165
+00:14:15,540 --> 00:14:19,120
+اتجاه ال Y التانى صريعته اتجاه ال X و اتجاه ال Y
+
+166
+00:14:19,120 --> 00:14:24,760
+بيساوي 0 اذا كله بيساوي ايه؟ Zero بيساوي M1 فى
+
+167
+00:14:24,760 --> 00:14:29,560
+اتجاه ال Y فى عند V1 صيني الزاوية M2 V2 صيني
+
+168
+00:14:29,560 --> 00:14:35,620
+الزاوية بس بإشارة مالها إشارتها سالبةبسوء معادل
+
+169
+00:14:35,620 --> 00:14:39,740
+رقم اتنين هي معادل رقم واحد و معادل رقم اتنين بعد
+
+170
+00:14:39,740 --> 00:14:45,240
+هيك بجيب معادل رقم تلاتة اللي هي من مين ال kinetic
+
+171
+00:14:45,240 --> 00:14:54,460
+energy قبل بسوء ال kinetic energy بعد K initial
+
+172
+00:14:54,460 --> 00:15:00,800
+بسوء ال K final بطبق المعادلتين K واحد initialفى
+
+173
+00:15:00,800 --> 00:15:05,580
+V1 initial square زائد K2 initial أسف M1 فى V1
+
+174
+00:15:05,580 --> 00:15:10,160
+initial فى اتجاه M1 فى V1 initial square بنص طبعا
+
+175
+00:15:10,160 --> 00:15:14,820
+زائد M2 فى V2 initial هنا قيمتهم Zero لإن صرحتوا
+
+176
+00:15:14,820 --> 00:15:19,460
+كانت سوى Zero بسوى نص M1 V1 final square زائد نص
+
+177
+00:15:19,460 --> 00:15:23,840
+M2 V2 final square كله الأمات متساوية بيروحوا مع
+
+178
+00:15:23,840 --> 00:15:28,240
+بعض والانصاص بيروحوا مع بعض بتضال معادل رقم تلاتى
+
+179
+00:15:30,080 --> 00:15:34,400
+معادلة واحد و معادلة اتنين و معادلة تلاتي بشتغل
+
+180
+00:15:34,400 --> 00:15:40,040
+فيهم وبحلهم وبطلع في الآخر اللي هي قيم الزوايا
+
+181
+00:15:40,040 --> 00:15:44,340
+والسرعات قيم
+
+182
+00:15:44,340 --> 00:15:48,440
+الزوايا والسرعات اللي موجودة عنديماشي إذا معدل
+
+183
+00:15:48,440 --> 00:15:51,440
+واحد و معدل رقم اتنين طبعا لما يكون أرقام يكون
+
+184
+00:15:51,440 --> 00:15:54,800
+حلهم ايش أسهل من التعوضات اللي بيصير عندك في
+
+185
+00:15:54,800 --> 00:15:58,680
+المعادلات اللي .. اللي .. اللي فيها رموز ماشي
+
+186
+00:15:58,680 --> 00:16:02,100
+المعدل رقم أربعة و معدل رقم خمس بعد ما حل واحد و
+
+187
+00:16:02,100 --> 00:16:07,980
+اتنين وضعتهم في بعض بيطلع عنده اللي هو قيمة V1
+
+188
+00:16:07,980 --> 00:16:11,280
+final اتنين و تمانية في عشرة اقصى خمسة و قيمة V2
+
+189
+00:16:11,280 --> 00:16:15,950
+final اللي هي اتنين في عشرة اقصى خمسةيعطيكم
+
+190
+00:16:15,950 --> 00:16:19,190
+العافية و هي كمان نكون خلصنا شفطة تسعة، شفطة تسعة
+
+191
+00:16:19,190 --> 00:16:26,090
+كمان مرة، شفطة سهل، هو مراجعة أو جزء منه كبير مرة
+
+192
+00:16:26,090 --> 00:16:32,230
+عليكم و ان شاء الله ربنا يوفقكم في فيزيا ألف،
+
+193
+00:16:32,230 --> 00:16:32,870
+يعطيكم العافية
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/A4pT70WRAmg.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/A4pT70WRAmg.srt
new file mode 100644
index 0000000000000000000000000000000000000000..700359441973c2219788aaa2541050166085d938
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/A4pT70WRAmg.srt
@@ -0,0 +1,763 @@
+
+1
+00:00:05,350 --> 00:00:10,090
+السلام عليكم ويعطيكم العافية، إن شاء الله تكون
+
+2
+00:00:10,090 --> 00:00:14,870
+المادة سهلة، وإن شاء الله تكونوا راجعتوها بشكل
+
+3
+00:00:14,870 --> 00:00:22,850
+متكامل. طبعاً، نحن بدأنا في الـ chapter الخامس، ضالّ
+
+4
+00:00:22,850 --> 00:00:28,070
+في جزئية اليوم، نحاول ننهيها. طبعاً، اليوم نتكلم عن
+
+5
+00:00:28,070 --> 00:00:33,050
+الجزئية الأخيرة، اللي هو the Newton's law of
+
+6
+00:00:33,050 --> 00:00:37,770
+gravitational. اللي هو عندي: لو أنا عندي جسمين، بصورة
+
+7
+00:00:37,770 --> 00:00:46,170
+عامة، جسمين، كتلة أولى mass M1، و mass M2. التجاذب
+
+8
+00:00:46,170 --> 00:00:53,410
+بينهم مسافة R، الـ R هذه اللي هي الـ displacement أو
+
+9
+00:00:53,410 --> 00:01:00,950
+الإزاحة أو المسافة بين الـ M1 والـ M2. ووجدوا أن الـ
+
+10
+00:01:00,950 --> 00:01:07,190
+force تتناسب طردياً مع الكتلتين، حاصل ضرب الكتلتين،
+
+11
+00:01:07,190 --> 00:01:15,510
+وتتناسب عكسياً مع مربع المسافة اللي بينهم. طبعاً، من
+
+12
+00:01:15,510 --> 00:01:19,930
+هذه العلاقة، بقدر أقول أن الجسمين بيصير بينهم تجاذب،
+
+13
+00:01:19,930 --> 00:01:26,870
+هذا التجاذب Gravitational force، هذا التجاذب اللي
+
+14
+00:01:26,870 --> 00:01:33,090
+بين الجسمين، قيمته ثابت الجذب العام في M1 M2 على
+
+15
+00:01:33,090 --> 00:01:42,150
+R<sup>2</sup>. هذه قيمته، لكن اتجاهه: أين M1 تجذب M2 بهذا
+
+16
+00:01:42,150 --> 00:01:51,490
+الشكل F12، تأثير F12. كذلك، M2 بتأثر على M1 بقوة F21، هذه
+
+17
+00:01:51,490 --> 00:01:56,620
+اتجاهها في اتجاهها، نسميها 2 على 1، يعني بهذا الشكل،
+
+18
+00:01:56,620 --> 00:02:04,440
+من 2 إلى 1، وهذا اتجاهها في اتجاه اللي
+
+19
+00:02:04,440 --> 00:02:09,840
+هو من 2 إلى 1. إذاً، هذا اتجاهها في اتجاه
+
+20
+00:02:09,840 --> 00:02:14,560
+الخط الواصل اللي بينهم، كأنه اتجاه X، كأنه أنا بقول
+
+21
+00:02:14,560 --> 00:02:18,140
+عندي هنا، بقول هذا في اتجاه السالب I، وهذا في اتجاه
+
+22
+00:02:18,140 --> 00:02:26,370
+الـ +I، هذا هو محور محور X. الآن، الـ R هذه هو الاتجاه بين
+
+23
+00:02:26,370 --> 00:02:30,470
+الجسمين، اللي هو اتجاه نسميه اتجاه الـ A، ممكن يكون
+
+24
+00:02:30,470 --> 00:02:34,810
+اتجاه الـ X، واتجاه الـ Y. الـ constant اللي بينهم،
+
+25
+00:02:34,810 --> 00:02:40,190
+اللي هو الـ G، هذه قيمته، تقريباً، 6.672×10<sup>-11</sup>
+
+26
+00:02:40,190 --> 00:02:45,410
+نيوتن متر مربع على كيلوغرام تربيع.
+
+27
+00:02:50,180 --> 00:02:54,180
+طيب، هذه موجودة في الكون كله، في الكون كله، عبارة عن
+
+28
+00:02:54,180 --> 00:02:59,060
+كتل ضخمة. لاحظوا العدد اللي هنا: عشرة أس سالب أحد عشر.
+
+29
+00:02:59,060 --> 00:03:04,160
+لو أنا تكلمت عن كتل صغيرة، القوة مالها؟ بتكون صغيرة
+
+30
+00:03:04,160 --> 00:03:10,820
+جداً. لكن لو تكلمت عن كتل كبيرة، كتل كبيرة جداً، بيصير
+
+31
+00:03:10,820 --> 00:03:18,740
+لها قيمة ممكن حسابها بشكل واضح. إذاً، لو كانت عندي
+
+32
+00:03:18,740 --> 00:03:22,960
+الكتل صغيرة، بتكون هذه قيمتها صغيرة جداً. لو تكلمت
+
+33
+00:03:22,960 --> 00:03:28,500
+عن كتل في الكون، بقول الكتل هذه بتأثر بقوة تجاذب
+
+34
+00:03:28,500 --> 00:03:33,860
+واضحة، زي لما أتكلم عن الأرض والقمر، الأرض والشمس،
+
+35
+00:03:33,860 --> 00:03:37,420
+في بينهم، لو جيت أحسب المسافة اللي بينهم، بأوجد
+
+36
+00:03:37,420 --> 00:03:40,820
+قيمة هذه القوة اللي موجودة بينهم، اللي هو قوة
+
+37
+00:03:40,820 --> 00:03:44,760
+التجاذب العام. لو جيت أتكلم عن الأرض مثلاً، الأرض و
+
+38
+00:03:44,760 --> 00:03:52,650
+القمر، هي الكرة الأرضية، وهي عند القمر، كتلة القمر M،
+
+39
+00:03:52,650 --> 00:03:59,030
+كتلة الأرض كتلتها ME، المسافة اللي بينهم طبعاً،
+
+40
+00:03:59,030 --> 00:04:04,310
+مسافة مركز الكتلة لأي شيء بتكون وين؟ في المركز
+
+41
+00:04:04,310 --> 00:04:07,370
+الهندسي. إذا كان منتظماً، إذا كانت عندي الكرة، لو
+
+42
+00:04:07,370 --> 00:04:13,330
+اعتبرناها كرة، بيكون المركز وين؟ الكتلة كأنها مركزة
+
+43
+00:04:13,330 --> 00:04:17,230
+في المركز. المسافة اللي بينهم، بين الأرض والقمر، هي
+
+44
+00:04:17,230 --> 00:04:23,090
+الـ R. لذا، بيصير عندي بين القمر والأرض قوة تجاذب،
+
+45
+00:04:23,090 --> 00:04:29,810
+قيمتها G في ME في M<sub>ق</sub> على R<sup>2</sup>.  طيب، لو
+
+46
+00:04:29,810 --> 00:04:35,570
+كان في شخص على سطح القمر، كمثال آخر، شخص على
+
+47
+00:04:35,570 --> 00:04:42,040
+سطح، آسف، شخص على سطح الأرض، كتلته m،  وهو على سطح الأرض،
+
+48
+00:04:42,040 --> 00:04:48,780
+طبعاً، الآن المسافة اللي بينهم، هي نصف قطر الأرض،
+
+49
+00:04:48,780 --> 00:04:55,440
+R<sub>E</sub>. القوة اللي بتأثر على هذا الشخص، إيش هي؟ مش هي
+
+50
+00:04:55,440 --> 00:05:02,900
+عبارة عن وزنه. لذا، بقدر أقول أن القوة المؤثرة الآن
+
+51
+00:05:02,900 --> 00:05:06,500
+ناشئة من قانون الجذب، بتساوي
+
+52
+00:05:08,200 --> 00:05:15,060
+G في M<sub>E</sub> في m للشخص اللي موجود، أيّاً كان كتلته، على R<sub>E</sub><sup>2</sup>.
+
+53
+00:05:15,060 --> 00:05:23,820
+تربيع، نصف قطر الأرض. وهذا بيساوي اللي هو الوزن. لذا،
+
+54
+00:05:23,820 --> 00:05:29,540
+كل الكلام اللي عندي، الوزن اللي إحنا بنقوله، هو ناشئ
+
+55
+00:05:29,540 --> 00:05:34,260
+من وين؟ من قانون الجذب العام لنيوتن، هذا اسم القانون،
+
+56
+00:05:34,260 --> 00:05:41,280
+الجذب العام لنيوتن. طيب، اتطلعوا: الـ G ثابت، نثبت
+
+57
+00:05:41,280 --> 00:05:47,000
+الأرض، ثابت كتلة الأرض مالها؟ ثابت، ثابت الجذب، لعندها الـ
+
+58
+00:05:47,000 --> 00:05:51,500
+m كتلة، والـ m كتلة. لو أنا شطبتها من هنا ومن هنا،
+
+59
+00:05:51,500 --> 00:05:54,980
+ماذا يساوي؟ إيش بيطلع عندي؟
+
+60
+00:05:59,340 --> 00:06:08,820
+تسارع الجاذبية الأرضية، تسارع
+
+61
+00:06:08,820 --> 00:06:13,680
+الجاذبية الأرضية، تسارع الجاذبية الأرضية، تسارع
+
+62
+00:06:13,680 --> 00:06:14,900
+الجاذبية الأرضية، تسارع الجاذبية الأرضية، تسارع
+
+63
+00:06:14,900 --> 00:06:15,240
+الجاذبية الأرضية، تسارع الجاذبية الأرضية، تسارع
+
+64
+00:06:15,240 --> 00:06:16,000
+الجاذبية الأرضية، تسارع الجاذبية الأرضية، تسارع
+
+65
+00:06:16,000 --> 00:06:20,110
+الجاذبية الأرضية، تسارع. من خلال هذا، بقدر أقول لو أنا
+
+66
+00:06:20,110 --> 00:06:24,310
+طلعت الـ g، بقدر أجيب قيمتها، إذا عرفت نصف القطر، و
+
+67
+00:06:24,310 --> 00:06:30,330
+حسبته، بقدر أقول أن كتلة الأرض قيمتها، الـ R<sub>E</sub> معروف،
+
+68
+00:06:30,330 --> 00:06:35,930
+الـ g<sup>2</sup>  على ثابت الجذب العام. طيب،
+
+69
+00:06:35,930 --> 00:06:40,430
+الآن، لو أنا قلت: ابتعدت عن نفس السطح، زي القمر، نرجع
+
+70
+00:06:40,430 --> 00:06:43,830
+لقصة القمر، ابتعد مسافة، ارتفع h،
+
+71
+00:06:46,580 --> 00:06:55,840
+صار البعد من هنا لهنا، وهو R، بيساوي R<sub>E</sub> زائد h. إيش
+
+72
+00:06:55,840 --> 00:06:58,800
+قانون الجذب بيصير؟ بيصير القوة الكلية، اللي
+
+73
+00:06:58,800 --> 00:07:06,640
+بتأثر على القمر، بتساوي G في M<sub>E</sub> في M<sub>ق</sub> على
+
+74
+00:07:06,640 --> 00:07:13,120
+R<sup>2</sup>، R<sup>2</sup>، قيمتها R<sub>E</sub> زائد h.
+
+75
+00:07:14,920 --> 00:07:19,000
+طيب، الـ M مع الـ M بتروح. لو اعتبرت إني أنا بطلع فوق،
+
+76
+00:07:19,000 --> 00:07:25,100
+وزن إيش بيصير فيه؟ وزن الجسم، بيقل تدريجياً، لأن
+
+77
+00:07:25,100 --> 00:07:30,140
+الجاذبية إيش بيصير فيها؟ بتقل. إذاً، عند كل منطقة في
+
+78
+00:07:30,140 --> 00:07:36,820
+جاذبية، وزن مختلف. الجاذبية الموجودة، لما أطلع مسافات
+
+79
+00:07:36,820 --> 00:07:44,540
+بعيدة، بيصير قيمتها قليلة. لذا، هنا، كل ما أرتفع عن
+
+80
+00:07:44,540 --> 00:07:48,960
+السطح مسافة بعيدة، كل ما قلت الجاذبية. عشان هيك،
+
+81
+00:07:48,960 --> 00:07:54,080
+الجاذبية في المناطق المرتفعة، خاصةً مرتفعة جداً، قيمتها
+
+82
+00:07:54,080 --> 00:07:58,780
+لو جيت أحسبها، بلاقيها مالها؟ أقل، مش بسيط، طبعاً، أقل
+
+83
+00:07:58,780 --> 00:08:04,970
+من 9.81. إذن، في هذه الحالة، g اللي عندي، على أي
+
+84
+00:08:04,970 --> 00:08:10,030
+ارتفاع قيمته h، إيش بتساوي؟ ثابت الجذب في كتلة الأرض على نص
+
+85
+00:08:10,030 --> 00:08:17,910
+قطر الأرض زائد الـ h. لو أنا ارتفعت جداً، قطر الأرض R<sub>E</sub>،
+
+86
+00:08:17,910 --> 00:08:28,010
+إيش بيصير عندي هنا؟ G في M<sub>E</sub> على 4 R<sub>E</sub><sup>2</sup>.
+
+87
+00:08:28,010 --> 00:08:29,810
+أربعة
+
+88
+00:08:31,900 --> 00:08:37,840
+هذه قيمتها هي هي قيمة الجاذبية، إذاً، g هي إيش
+
+89
+00:08:37,840 --> 00:08:41,460
+بتساوي عندي؟ ربع الجاذبية الأرضية. إذاً، كلما
+
+90
+00:08:41,460 --> 00:08:45,700
+ارتفعت مسافات بعيدة جداً عن الأرض، بيصير الجاذبية تقل
+
+91
+00:08:45,700 --> 00:08:50,820
+تدريجياً، وتبدأ تقل لما يزيد الـ altitude اللي هو
+
+92
+00:08:50,820 --> 00:08:55,820
+الارتفاع، عند كل ما زاد، كل ما قلت الجاذبية، كل ما
+
+93
+00:08:55,820 --> 00:08:57,440
+قلت الجاذبية.
+
+94
+00:09:00,020 --> 00:09:02,880
+طيب، نأخذ مثالاً على... نأخذ مثالاً على قانون الجذب
+
+95
+00:09:02,880 --> 00:09:07,940
+العام، بصورة عامة. لو أنا عندي مجموعة من الكتل، وبدأت
+
+96
+00:09:07,940 --> 00:09:18,100
+أحسب القوة المؤثرة على كتلة ما من هذه الكتل.  لاحظوا
+
+97
+00:09:18,100 --> 00:09:25,410
+ملاحظة: أن الجاذبية الأرضية، 9.8، قيمتها ثابتة، 9.8، وهي
+
+98
+00:09:25,410 --> 00:09:29,870
+مجموعة من حاصل ضرب الثوابت اللي هي من كتلة الأرض، ومن
+
+99
+00:09:29,870 --> 00:09:35,410
+الـ h، ومن الـ G. إذا أنا ارتفعت عن سطح الأرض مسافة h،
+
+100
+00:09:35,410 --> 00:09:42,090
+كل ما ارتفعت أكثر، كل ما قلت قيمة الجاذبية. نجي نأخذ
+
+101
+00:09:42,090 --> 00:09:48,660
+مثالاً، بيقول: عندي مجموعة كتلتين، واحدة كتلتها 60 كيلو
+
+102
+00:09:48,660 --> 00:09:53,320
+غرام، وواحدة 80 كيلوغرام. المسافة اللي بينهم،
+
+103
+00:09:53,320 --> 00:09:59,660
+2 متر. هذه كتلة أولى، لها
+
+104
+00:09:59,660 --> 00:10:08,400
+60 كيلوغرام، وكتلة ثانية قيمتها 80 كيلوغرام،
+
+105
+00:10:08,400 --> 00:10:15,900
+المسافة اللي بينهم، بين مراكزهم، 2 متر. بدي أحسب
+
+106
+00:10:15,900 --> 00:10:19,780
+القوة اللي بيأثر فيها الأولى على الثانية، والثانية
+
+107
+00:10:19,780 --> 00:10:22,760
+على الأولى. طبعاً، في قوتين، واحدة بتأثر الأولى على
+
+108
+00:10:22,760 --> 00:10:25,400
+الثانية، وواحدة بتأثر الثانية على الأولى. لو أنا قلت
+
+109
+00:10:25,400 --> 00:10:29,640
+هذا M1، وهذا M2، ف عندي هنا قوة قيمتها إيش؟
+
+110
+00:10:29,640 --> 00:10:36,320
+بسميها F2 على 1، فهذا F1 على 2، و
+
+111
+00:10:36,320 --> 00:10:40,280
+قيمتهم الاثنتين متساويتان، ومتعاكستان في الاتجاه. قيمة
+
+112
+00:10:40,280 --> 00:10:45,170
+F12 أو F21، كقيمة لها، بتساوي إيش؟
+
+113
+00:10:45,170 --> 00:10:51,770
+ثابت الجذب في الكتلة الأولى M1 في M2 على مسافة
+
+114
+00:10:51,770 --> 00:10:57,770
+R<sub>12</sub><sup>2</sup>. كله موجود عندنا، ثابت الجذب constant، 60 كيلو
+
+115
+00:10:57,770 --> 00:11:01,870
+غرام، 80 كيلوغرام، على 2<sup>2</sup>، بيطلع قيمتها
+
+116
+00:11:01,870 --> 00:11:06,670
+لاحظوا كده، قيمتها 8 في 10 أس سالب 8، هي
+
+117
+00:11:06,670 --> 00:11:10,710
+قيمة مالها؟ 10 أس سالب 8، قيمة صغيرة جداً، لو
+
+118
+00:11:10,710 --> 00:11:14,370
+قارنتها بقوة ثانية، زي القوة الكهربية، هتلاقي هذه
+
+119
+00:11:14,370 --> 00:11:17,970
+القوة مالها؟ تقريباً، قوة صغيرة بالنسبة للقوة
+
+120
+00:11:17,970 --> 00:11:23,470
+الكهربية. مثلاً، ذرة الهيدروجين، ذرة الهيدروجين، في
+
+121
+00:11:23,470 --> 00:11:28,770
+عندي التجاذب بين كتلة الإلكترون وكتلة البروتون، أو
+
+122
+00:11:28,770 --> 00:11:33,010
+كتلة النواة، آسف، وكتلة الإلكترون، اللي
+
+123
+00:11:33,010 --> 00:11:37,410
+بتدور حول النواة، لو جيت أحسبها، هتلاقيها صغيرة جداً،
+
+124
+00:11:37,410 --> 00:11:42,130
+جداً. ليه؟ لأنه بتكلم عن كتلة مالها؟ صغيرة، حتى لو
+
+125
+00:11:42,130 --> 00:11:45,110
+المسافة اللي بينها كانت قريبة. لكن لو جيت أحسب
+
+126
+00:11:45,110 --> 00:11:48,630
+القوة الكهربية، قوة الجذب، أنتم بتعرفوا الشحن الموجب و
+
+127
+00:11:48,630 --> 00:11:52,510
+الشحن السالب، إيش بيصير بينهم؟ قوة تجاذب. لو جيت
+
+128
+00:11:52,510 --> 00:11:56,960
+أحسب قوة التجاذب، هتلاقيها أكبر بكثير من مين؟ من قوة
+
+129
+00:11:56,960 --> 00:12:03,260
+الناشئة من قانون الجذب العام. نأخذ مثالاً آخر، بيقول
+
+130
+00:12:03,260 --> 00:12:06,960
+في عندي ثلاث كتل، الكتلة الأولى 6 كيلوغرام، واحدة
+
+131
+00:12:06,960 --> 00:12:11,600
+2 كيلوغرام، وواحدة 4 كيلوغرام.  بدي أحسب الـ
+
+132
+00:12:11,600 --> 00:12:15,420
+total force اللي بتأثر على 2 كيلوغرام. هذه
+
+133
+00:12:15,420 --> 00:12:18,860
+الـ 2 كيلوغرام، القوة اللي بتأثر عليها، طبعاً،
+
+134
+00:12:18,860 --> 00:12:23,260
+الـ 2 كيلوغرام بتتأثر بمين؟ بالـ 4، وبتتأثر
+
+135
+00:12:23,260 --> 00:12:28,470
+بالـ 3. لو أنا سمّيتهن، سمّيت هذه 1، وهذه سميتها
+
+136
+00:12:28,470 --> 00:12:34,130
+2، وهذه سميتها 3.  الكتلة 3 بتأثر على 1 بقوة،
+
+137
+00:12:34,130 --> 00:12:38,270
+بيقولوا قيمتها إيش؟ F3 على 1، إحنا سمّيناها،
+
+138
+00:12:38,270 --> 00:12:42,350
+مش مشكلة بالتسمية، F3 على 1، وهذه بسميها
+
+139
+00:12:42,350 --> 00:12:47,630
+F2 على 1. لو كانت التسمية، المهم أعرف هذه
+
+140
+00:12:47,630 --> 00:12:51,650
+التأثير 2 على 1، وهذه تأثير 3 على 1،
+
+141
+00:12:52,620 --> 00:12:57,560
+تأثيرها بيكون عندي بهذا الشكل، القوة الناشئة من
+
+142
+00:12:57,560 --> 00:13:02,160
+2 على 1، والقوة الناشئة من 3 على 1،
+
+143
+00:13:02,160 --> 00:13:05,920
+القوة الناشئة من 1 على 2، ولاحظوا أن القوة
+
+144
+00:13:05,920 --> 00:13:12,830
+متجهات، لما أجيب المحصلة، إيش بتعمل؟ جمع اتجاهي للـ
+
+145
+00:13:12,830 --> 00:13:18,170
+متجهة الأولى F12، وF13، واجمعهم في جمع اتجاهي، هذا
+
+146
+00:13:18,170 --> 00:13:25,650
+هي إيش؟ المحصلة. F12 بتساوي G في m1 m2 على r<sub>12</sub><sup>2</sup>، هي
+
+147
+00:13:25,650 --> 00:13:29,150
+قيمتها، واتجاهها في اتجاه مين؟ في اتجاه الـ X
+
+148
+00:13:29,150 --> 00:13:32,650
+direction، في اتجاه الـ I. الثانية، في اتجاهها، اتجاه
+
+149
+00:13:32,650 --> 00:13:36,950
+إيش؟ الـ Y direction. الآن، لما أجمع، أجيب المحصلة،
+
+150
+00:13:36,950 --> 00:13:40,090
+بجمعها جمع اتجاهي. طبعاً، هذا vector اللي موجبة في
+
+151
+00:13:40,090 --> 00:13:45,230
+اتجاه الـ I، زائد صفر في اتجاه الـ Y. هنا، لها صفر في
+
+152
+00:13:45,230 --> 00:13:48,950
+اتجاه الـ I، زائد صفر في اتجاه الـ X، زائد المواقبة
+
+153
+00:13:48,950 --> 00:13:52,610
+التالية. لما أجمعهم، بجمع الـ I component مع بعض، والـ
+
+154
+00:13:52,610 --> 00:13:55,330
+Y component، أو الـ X component مع بعض، والـ Y
+
+155
+00:13:55,330 --> 00:13:59,290
+component مع بعض، وأجيب المحصلة. المحصلة هنا، لأنها
+
+156
+00:13:59,290 --> 00:14:01,250
+متعامدة، بتطلع قيمة مقدار فقط.
+
+157
+00:14:19,680 --> 00:14:26,720
+السؤال 58، بيقول: calculation، ده magnitude of
+
+158
+00:14:26,720 --> 00:14:33,780
+acceleration اللي ناشئة من مين؟ من الـ gravity على
+
+159
+00:14:33,780 --> 00:14:38,560
+ارتفاع قيمته altitude قيمته 100 كيلومتر. يعني هذه
+
+160
+00:14:38,560 --> 00:14:48,580
+الكرة الأرضية، وفين ده؟ ارتفاع، الارتفاع هذا ارتفاع
+
+161
+00:14:48,580 --> 00:14:52,340
+الـ h، قيمته 100 كيلومتر.
+
+162
+00:14:54,730 --> 00:14:57,410
+يعني 100 كيلومتر، إيش بتساوي؟ طبعاً، إحنا بنحولها
+
+163
+00:14:57,410 --> 0
+
+223
+00:20:13,630 --> 00:20:20,210
+للأرض وهي الأرض، و H والـ R هذه قيمتها ستمائة ستمائة
+
+224
+00:20:20,210 --> 00:20:26,570
+ستمائة ستمائة ستمائة كيلومتر، what must be its speed?
+
+225
+00:20:26,570 --> 00:20:30,410
+ما احنا عارفين أن هذه القيمة لازم يكون لها سرعة؟
+
+226
+00:20:30,410 --> 00:20:33,770
+قيمتها ايش؟ ما لها ثابتة، لو زادت السرعة ايش بيصير
+
+227
+00:20:33,770 --> 00:20:36,950
+عندي؟ لو قلت السرعة ايش بيصير عندي؟ لذا أنا في
+
+228
+00:20:36,950 --> 00:20:41,130
+سرعة محددة بتخليني أضل على ايش؟ على هذا الارتفاع
+
+229
+00:20:41,130 --> 00:20:45,130
+لذا بدك تقول السرعة من القانون الموجود عندي اللي أنا
+
+230
+00:20:45,130 --> 00:20:49,910
+طلعته سواء G في M على R، كله موجود عندي الآن
+
+231
+00:20:49,910 --> 00:20:54,530
+بطلع قيمة السرعة اللي لازم يتحرك فيها حتى يبقى على
+
+232
+00:20:54,530 --> 00:20:59,710
+هذا المسار، أي يبقى على ارتفاع أو مسار دائري نصف قطره
+
+233
+00:20:59,710 --> 00:21:03,490
+وجدنا قيمته ستة آلاف وثمانية كيلومتر، لو حسبنا الـ
+
+234
+00:21:03,490 --> 00:21:07,030
+بيروت، ما عليش، أطبق القانون اللي أنا طلعته، بطلع الـ
+
+235
+00:21:07,030 --> 00:21:12,110
+بيروت،  بلا جيكل واحد وخمسة وخمسين من مئة hour بيلف
+
+236
+00:21:12,110 --> 00:21:20,410
+لفة كاملة حول الأرض، وهيك بيكون الـ chapter خلص إن
+
+237
+00:21:20,410 --> 00:21:25,970
+شاء الله، في المحاضرة الجاية بنحاول ناخد chapter
+
+238
+00:21:25,970 --> 00:21:30,350
+اللي هو ستة، لكن أنا بقول ملاحظة دائماً أن chapter
+
+239
+00:21:30,350 --> 00:21:36,640
+أربعة وخمسة وستة وسبعة، وأنا ماشي بالزمن دائماً أرسم
+
+240
+00:21:36,640 --> 00:21:39,840
+حاجة اسمها الـ free body diagram، يعني دائماً بدي
+
+241
+00:21:39,840 --> 00:21:45,040
+أدور على القوة اللي بتأثر على هذا الجسم، وبعد ما حطيت
+
+242
+00:21:45,040 --> 00:21:48,180
+القوة اللي بتأثر على هذا الجسم، لما جيت هنا قلت
+
+243
+00:21:48,180 --> 00:21:52,340
+القوة اللي بتأثر على الجسم قيمتها F، تأثير F اللي
+
+244
+00:21:52,340 --> 00:21:56,820
+هي واحد اثنين أو F2 على 1، وبعد ما حددت
+
+245
+00:21:56,820 --> 00:22:01,130
+القوة، طبقت اللي هو الـ centrifugal force، ووجدت قيمة
+
+246
+00:22:01,130 --> 00:22:04,650
+الـ V، ووجدت قيمة الـ period time، ويعطيكم العافية
+
+247
+00:22:04,650 --> 00:22:07,990
+وحاولوا قدر الإمكان تراجعوا الأسئلة اللي موجودة
+
+248
+00:22:07,990 --> 00:22:11,470
+على نهاية الـ chapter، تدرسوها، إذا في أي مشاكل ممكن
+
+249
+00:22:11,470 --> 00:22:16,050
+احنا نحاول نحلها في المحاضرة، في محاضرة خاصة
+
+250
+00:22:16,050 --> 00:22:17,270
+ويعطيكم العافية
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/A4pT70WRAmg_postprocess.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/A4pT70WRAmg_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..a107a334d014570209e1871be2318a7b2be21e7e
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/A4pT70WRAmg_postprocess.srt
@@ -0,0 +1,1000 @@
+1
+00:00:05,350 --> 00:00:10,090
+السلام عليكم يعطوكوا العافية ان شاء الله بيكون
+
+2
+00:00:10,090 --> 00:00:14,870
+المادة سهلة و ان شاء الله بيكون راجعتوها بشكل
+
+3
+00:00:14,870 --> 00:00:22,850
+متكامل طبعا احنا بدينا في ال chapter الخامسة ضال
+
+4
+00:00:22,850 --> 00:00:28,070
+في جزئية اليوم بنحاول ننهيها طبعا اليوم بنتكلم عن
+
+5
+00:00:28,070 --> 00:00:33,050
+الجزئية الأخيرة اللي هو the Newton's law of
+
+6
+00:00:33,050 --> 00:00:37,770
+gravitationalاللي هو عندي لو أنا عندي جسمين بصورة
+
+7
+00:00:37,770 --> 00:00:46,170
+عامة جسمين كتلة أولى mass M1 و mass M2 التنكين
+
+8
+00:00:46,170 --> 00:00:53,410
+بينهم مسافة R الـR هذا اللي هي ال displacement أو
+
+9
+00:00:53,410 --> 00:01:00,950
+الإزاحة أو المسافة بين ال M1 و M2ووجدوا ان ال
+
+10
+00:01:00,950 --> 00:01:07,190
+force بتتناسب طرضيا مع الكتلتين حاصل ضرب الكتلتين
+
+11
+00:01:07,190 --> 00:01:15,510
+و بتتناسب عكسيا مع مربع المسافة اللي بينهم طبعا من
+
+12
+00:01:15,510 --> 00:01:19,930
+هذه العلاقة بقدر اقول ان التنتين بيصير بينهم تجاذب
+
+13
+00:01:19,930 --> 00:01:26,870
+هذا التجاذبGravitational force هذا التجاذب اللي
+
+14
+00:01:26,870 --> 00:01:33,090
+بين التنتين قيمته ثابت الجذب العام في M1 M2 على
+
+15
+00:01:33,090 --> 00:01:42,150
+R12 هذه قيمته لكن اتجاه هو اين M1 تجذب M2 بهذا
+
+16
+00:01:42,150 --> 00:01:51,490
+الشكل F12 تأثير F12 كذلك M2 بتأثر على F21 هذه
+
+17
+00:01:51,490 --> 00:01:56,620
+اتجاههافى اتجاهها سمين اتنين واحد يعني بهذا الشكل
+
+18
+00:01:56,620 --> 00:02:04,440
+من اتنين من واحد لاتنين وهذا اتجاهها فى اتجاه اللى
+
+19
+00:02:04,440 --> 00:02:09,840
+هو من اتنين لمين لواحد اذا هذه اتجاهها فى اتجاه
+
+20
+00:02:09,840 --> 00:02:14,560
+الخط الواصل اللى بينهم كأنه اتجاه X كأنه انا بقول
+
+21
+00:02:14,560 --> 00:02:18,140
+عندى هنا بقول هذا فى اتجاه السلب I وهذا فى اتجاه
+
+22
+00:02:18,140 --> 00:02:26,370
+LI هذا هو محور محور Xالان ال R هذي هو الاتجاه بين
+
+23
+00:02:26,370 --> 00:02:30,470
+الاتنين اللي هو اتجاه نسميه اتجاه ال A ممكن يكون
+
+24
+00:02:30,470 --> 00:02:34,810
+اتجاه ال X و اتجاه ال Y ال constant اللي بينهم
+
+25
+00:02:34,810 --> 00:02:40,190
+اللي هو ال G هذي قيمته جداش بالساوية 6.672×10⁻11
+
+26
+00:02:40,190 --> 00:02:45,410
+بقدر يجيب وحته نيوتن متر تربيع على كيلو جرام تربيع
+
+27
+00:02:50,180 --> 00:02:54,180
+طب هذه موجودة في الكون كله في الكون كله عبارة عن
+
+28
+00:02:54,180 --> 00:02:59,060
+كتل ضخمة لاحظوا العدد اللي هنا عشرة أساليب احداشر
+
+29
+00:02:59,060 --> 00:03:04,160
+لو انا اتكلمت عن كتل صغيرة القوة مالها بتكون صغيرة
+
+30
+00:03:04,160 --> 00:03:10,820
+جدا لكن لو اتكلمت عن كتل كبيرة كتل كبيرة جدا بيصير
+
+31
+00:03:10,820 --> 00:03:18,740
+له قيمة ممكن حسابها بشكل واضحإذا لو كانت عندى
+
+32
+00:03:18,740 --> 00:03:22,960
+الكتل صغيرة بتكون هذه قيمتها صغيرة جدا لو اتكلمت
+
+33
+00:03:22,960 --> 00:03:28,500
+عن كتل فى الكون بقول الكتل هذه بتأثر قوة تجالب
+
+34
+00:03:28,500 --> 00:03:33,860
+واضحة زى لما اتكلم عن الأرض و القمر الأرض و الشمس
+
+35
+00:03:33,860 --> 00:03:37,420
+فى بينهم لو جيت أحسب هو المسافر اللى بينهم بأوجد
+
+36
+00:03:37,420 --> 00:03:40,820
+قيمة هذه القوة اللى موجودة بينهم اللى هو قوة
+
+37
+00:03:40,820 --> 00:03:44,760
+التجالب العام لو جيت أتكلم عن الأرض مثلا الأرض و
+
+38
+00:03:44,760 --> 00:03:52,650
+القمر هى الكرة الأرضيةو هي عند القمر القمر كتلته M
+
+39
+00:03:52,650 --> 00:03:59,030
+الكتلة الأرض كتلتها ME المسافة اللي بينهم طبعا
+
+40
+00:03:59,030 --> 00:04:04,310
+مسافة مركز الكتلة لأي شيء بيكون وين في المركز
+
+41
+00:04:04,310 --> 00:04:07,370
+الهندسي إذا كان منطبعا إذا كنت عند الكرة لو
+
+42
+00:04:07,370 --> 00:04:13,330
+اعتبرناها كرة بيكون المركز وينالكتلة كأنها مركزة
+
+43
+00:04:13,330 --> 00:04:17,230
+في المركز المسافة اللي بينهم بين الأرض والقمر هي
+
+44
+00:04:17,230 --> 00:04:23,090
+ال R لذا بيصير عنده بين القمر والأرض في قوة تجاذب
+
+45
+00:04:23,090 --> 00:04:29,810
+قيمتها G في M E في M علياش على R ال R ترمين طب لو
+
+46
+00:04:29,810 --> 00:04:35,570
+كان في واحد على سطح القمر كمثال أخر سطح شخص على
+
+47
+00:04:35,570 --> 00:04:42,040
+سطح اسف شخص على سطح الأرض كتلته أناهو كترة الأرض
+
+48
+00:04:42,040 --> 00:04:48,780
+طبعا مي الان المسافر اللي بينهم هو نصف كتر الأرض
+
+49
+00:04:48,780 --> 00:04:55,440
+ري القوة اللي بتأثر على هذا الشخص ايش هي مش هي
+
+50
+00:04:55,440 --> 00:05:02,900
+عبارة عن وزنه لذا بقدر اقول ان القوة المؤثرة الان
+
+51
+00:05:02,900 --> 00:05:06,500
+ناجئة من قانون الجذب بتسويلة
+
+52
+00:05:08,200 --> 00:05:15,060
+في M E في M للشخص اللى موجود ايا كان كتلته على RE
+
+53
+00:05:15,060 --> 00:05:23,820
+تربيه نص قطر الأرض وهذا بيساوي اللى هو الوزن لذا
+
+54
+00:05:23,820 --> 00:05:29,540
+كل الكلام اللى عنده الوزن اللى احنا بنقوله هو ناشط
+
+55
+00:05:29,540 --> 00:05:34,260
+من وين من قانون الجدب العام لنيوتن هذا اسم القانون
+
+56
+00:05:34,260 --> 00:05:41,280
+الجدب العام لنيوتن طيب اتطلعواالـ G ثابت نسقط
+
+57
+00:05:41,280 --> 00:05:47,000
+الأرض ثابت كتلة الأرض مالها ثابت ثابت الجدبلعها ال
+
+58
+00:05:47,000 --> 00:05:51,500
+M كتلة و ال M كتلة لو أنا شطبتها من هنا و من هنا
+
+59
+00:05:51,500 --> 00:05:54,980
+ماتت ساوى ايش بطلع عندى؟
+
+60
+00:05:59,340 --> 00:06:08,820
+تسارع الجاذبية الأرضية تسارع
+
+61
+00:06:08,820 --> 00:06:13,680
+الجاذبية الأرضية تسارع الجاذبية الأرضية تسارع
+
+62
+00:06:13,680 --> 00:06:14,900
+الجاذبية الأرضية تسارع الجاذبية الأرضية تسارع
+
+63
+00:06:14,900 --> 00:06:15,240
+الجاذبية الأرضية تسارع الجاذبية الأرضية تسارع
+
+64
+00:06:15,240 --> 00:06:16,000
+الجاذبية الأرضية تسارع الجاذبية الأرضية تسارع
+
+65
+00:06:16,000 --> 00:06:20,110
+الجاذبية الأرضية تسارعمن خلال هذا بقدر اقول لو انا
+
+66
+00:06:20,110 --> 00:06:24,310
+طلعت ال مي بقدر اجيب قيمتها اذا عرفت نصف القطر و
+
+67
+00:06:24,310 --> 00:06:30,330
+حسبته بقدر اقول ان كتة الارض قيمتها الري معروف
+
+68
+00:06:30,330 --> 00:06:35,930
+square تسعة و من تمانية على ثابت الجذب العام طب
+
+69
+00:06:35,930 --> 00:06:40,430
+الآن لو انا قلت ابعدت عن نفس السطح زي القمر نرجع
+
+70
+00:06:40,430 --> 00:06:43,830
+لقصة القمر ابعد مسافة ارتفعتش
+
+71
+00:06:46,580 --> 00:06:55,840
+صار البعد من هنا لهنا وهو ر بيساوي ر E زائد H ايش
+
+72
+00:06:55,840 --> 00:06:58,800
+قانون جد بيصير بيصير ال sumational force اللي
+
+73
+00:06:58,800 --> 00:07:06,640
+بتأثر على القمر بتساوي G في M ايه في M للقمر على
+
+74
+00:07:06,640 --> 00:07:13,120
+مين على R Square R Square جداش قيمتها ر E زائد H
+
+75
+00:07:14,920 --> 00:07:19,000
+طيب ال M مع ال M بتروح لو اعتبرت انه انا بطلع فوق
+
+76
+00:07:19,000 --> 00:07:25,100
+وزن ايش بيصير فيه؟ وزن مبدأ اشماله يقل تدريجيا لان
+
+77
+00:07:25,100 --> 00:07:30,140
+الجاذبية ايش بيصير فيها؟ بتقل، اذا عند كل منطقة في
+
+78
+00:07:30,140 --> 00:07:36,820
+جاذبية، وزن اختلفالجاذبية الموجودة لما أطلع مسافات
+
+79
+00:07:36,820 --> 00:07:44,540
+بعيدة بيصير قيمتها قليلة لذا هنا كل ما أرتفع عن
+
+80
+00:07:44,540 --> 00:07:48,960
+السطح مسافة بعيدة كل ما قلت الجاذبية عشان هيك
+
+81
+00:07:48,960 --> 00:07:54,080
+الجاذبية في المناطق المرتفعة خاصة مرتفعة في قيمتها
+
+82
+00:07:54,080 --> 00:07:58,780
+لو جيت أحسبها بيلاقيها مالها أقل مش بسيط طبعا أقل
+
+83
+00:07:58,780 --> 00:08:04,970
+من 9.81الذن فى هذه الحالة جى اللى عندى على أي
+
+84
+00:08:04,970 --> 00:08:10,030
+ارتفاع قيمته H ايش بالثابت فى كترة الأرض على نص
+
+85
+00:08:10,030 --> 00:08:17,910
+قطر الأرض زائد الـH لو أنا ارتفعت جد قطر الأرض RE
+
+86
+00:08:17,910 --> 00:08:28,010
+ايش بيصير عندى هنا جي في مي على أربعة RE squared
+
+87
+00:08:28,010 --> 00:08:29,810
+أربعة
+
+88
+00:08:31,900 --> 00:08:37,840
+هذه قيمتها هي هي قيمة الجاذبية إذا جبراين إيش
+
+89
+00:08:37,840 --> 00:08:41,460
+بيساوي عندي؟ ربع مين الجاذبية الأرضية إذا كلما
+
+90
+00:08:41,460 --> 00:08:45,700
+أرتفع مسافات بعيدة جدا عن الأرض بيصير الجاذبية تقل
+
+91
+00:08:45,700 --> 00:08:50,820
+تدريجيا و تبدأ تقل لما يزيد ال altitude اللي هو
+
+92
+00:08:50,820 --> 00:08:55,820
+الارتفاع عند كل ما زاد كل ما قلت الجاذبية كل ما
+
+93
+00:08:55,820 --> 00:08:57,440
+قلت الجاذبية
+
+94
+00:09:00,020 --> 00:09:02,880
+طب ناخد مثال على .. ناخد مثال على القانون الجدب
+
+95
+00:09:02,880 --> 00:09:07,940
+العام بصورة عامة لو أنا عندي مجموعة من الكتل و بدأ
+
+96
+00:09:07,940 --> 00:09:18,100
+أحسب القوة المؤثرة على كتلة ما من هذه الكتل دلان
+
+97
+00:09:18,100 --> 00:09:25,410
+ملاحظةإن الجاذبية الأرضية 9.8 قيمتها ثابتة 9.8 وهي
+
+98
+00:09:25,410 --> 00:09:29,870
+مجموعة من حصل ضرب الثوابط اللي هي من كتلة أرض ومن
+
+99
+00:09:29,870 --> 00:09:35,410
+الـH ومن الـG إذا أنا ارتفعت عن سطح الأرض مسافة H
+
+100
+00:09:35,410 --> 00:09:42,090
+كل ما ارتفعت أكثر كل ما قلت قيمة الجاذبية نجي ناخد
+
+101
+00:09:42,090 --> 00:09:48,660
+مثال بيقول عند مجموعة كتلتينواحد كتلة وستين كيلو
+
+102
+00:09:48,660 --> 00:09:53,320
+جرام واحد تمانين كيلو اجرام المسافة اللي بينهم
+
+103
+00:09:53,320 --> 00:09:59,660
+اتنين متر هاي كتلة أولى ليه
+
+104
+00:09:59,660 --> 00:10:08,400
+ستين كيلو جرام وكتلة تانية قيمتها تمانين كيلو جرام
+
+105
+00:10:08,400 --> 00:10:15,900
+المسافة اللي بينهم بين مراكزهم اتنين متربدي أحسب
+
+106
+00:10:15,900 --> 00:10:19,780
+ال force اللي بيأثر فيها الأول على التاني و التاني
+
+107
+00:10:19,780 --> 00:10:22,760
+على الأول طبعاً في قوتين واحد بيأثر الأول على
+
+108
+00:10:22,760 --> 00:10:25,400
+التاني و واحد بيأثر التاني على الأول لو أنا قلت
+
+109
+00:10:25,400 --> 00:10:29,640
+هذا M واحد و هذا M اتنين فاندي هنا قوة قيمتها اش
+
+110
+00:10:29,640 --> 00:10:36,320
+هسميها F اتنين على واحد فهذا F واحد على اتنين و
+
+111
+00:10:36,320 --> 00:10:40,280
+قيمتهم اتنتين متساويات و متعاكسات في الاتجاه قيمة
+
+112
+00:10:40,280 --> 00:10:45,170
+F واحد اتنين او F اتنين واحد كقيمة لهابتساوي ايش
+
+113
+00:10:45,170 --> 00:10:51,770
+ثابت الجدب في الكتلة الأولى M1 في M2 على مسافة
+
+114
+00:10:51,770 --> 00:10:57,770
+R12² كله موجود عندنا ثابت الجدب constant ستين كيلو
+
+115
+00:10:57,770 --> 00:11:01,870
+جرام تمانين كيلو جرام عتنين square بطلع قيمتها
+
+116
+00:11:01,870 --> 00:11:06,670
+لاحظوا كده قيمتهاتمانية في عشرة أس سالب تمانية هي
+
+117
+00:11:06,670 --> 00:11:10,710
+قيمة مالها عشرة أس سالب تمانية قيمة صغيرة جدا لو
+
+118
+00:11:10,710 --> 00:11:14,370
+قرنتها بقوة تانية زي القوة الكهربية حلاقي هذه
+
+119
+00:11:14,370 --> 00:11:17,970
+القوة مالها تقريبا قوة صغيرة بالنسبة للقوة
+
+120
+00:11:17,970 --> 00:11:23,470
+الكهربية مثلا كذرة الهيدروجين ذرة الهيدروجين في
+
+121
+00:11:23,470 --> 00:11:28,770
+عند التجاذب بين كتلة الإلكترون وكتلة البرود أو
+
+122
+00:11:28,770 --> 00:11:33,010
+كتلة الذرةالكتلة النوائي أسف وكتلة الإلكترون اللي
+
+123
+00:11:33,010 --> 00:11:37,410
+بدور حول الدورة لو جيت أحسبها حلاقيها صغيرة جدا
+
+124
+00:11:37,410 --> 00:11:42,130
+جدا ليه؟ لأنه بتكلم عن كتلة مالها صغيرة حتى لو
+
+125
+00:11:42,130 --> 00:11:45,110
+المسافة اللي بينها كانت قريبة لكن لو جيت أحسب
+
+126
+00:11:45,110 --> 00:11:48,630
+القوة الكهربي قوة الجذب انتوا بتعرف الشحن الموجب و
+
+127
+00:11:48,630 --> 00:11:52,510
+الشحن السالب ايش بيصير بينهم؟ قوة التجاذب لو جيت
+
+128
+00:11:52,510 --> 00:11:56,960
+أحسب قوة التجاذب حلاقيها أكبر بكتير من مين؟من قوة
+
+129
+00:11:56,960 --> 00:12:03,260
+الناشئة من قانون الجذب العام ناخد مثال اخر بيقول
+
+130
+00:12:03,260 --> 00:12:06,960
+في اندلت تلت اي سامل عام واحد ستة كيلو جرام واحد
+
+131
+00:12:06,960 --> 00:12:11,600
+اتنين كيلو جرام واحد اربعة كيلو جرام بيدحسب ال
+
+132
+00:12:11,600 --> 00:12:15,420
+total force اللي بتأثر على اتنين كيلو جرام هاي
+
+133
+00:12:15,420 --> 00:12:18,860
+الاتنين كيلو جرام القوة اللي بتأثر عليها طبعا
+
+134
+00:12:18,860 --> 00:12:23,260
+الاتنين كيلو جرام بتتأثر بمين بالاربعة و بتتأثر
+
+135
+00:12:23,260 --> 00:12:28,470
+بالتلتلو أنا سميتهم سميت هذه واحد وهذه سميتها
+
+136
+00:12:28,470 --> 00:12:34,130
+اتنين وهذه سميتها تلاتة واحد تلاتة بتأثر على واحد
+
+137
+00:12:34,130 --> 00:12:38,270
+بيقولوا قيمتها ايش اف تلاتة على واحد احنا سميناها
+
+138
+00:12:38,270 --> 00:12:42,350
+مش مشكلة بالتسمية اف تلاتة على واحد وهذه بتسميتها
+
+139
+00:12:42,350 --> 00:12:47,630
+اف اتنين على واحد لو كانت التسمية المهم اعرف هذه
+
+140
+00:12:47,630 --> 00:12:51,650
+التأثير اتنين على واحد وهذه تأثير واحد على اتنين
+
+141
+00:12:52,620 --> 00:12:57,560
+تأثيرها هيكون عنده بهذا الشكل القوة الناشئة من
+
+142
+00:12:57,560 --> 00:13:02,160
+اتنين على واحد والقوة الناشئة من تلاتة على واحد
+
+143
+00:13:02,160 --> 00:13:05,920
+القوة الناشئة من واحد على اتنين ولاحظوا ان قوة
+
+144
+00:13:05,920 --> 00:13:12,830
+متجهات لما اجيب المحصل ايش بتعمل جمع اتجاهيللـ
+
+145
+00:13:12,830 --> 00:13:18,170
+vector الأولى f12 و f13 و جمعهم في جمع اتجاه هذا
+
+146
+00:13:18,170 --> 00:13:25,650
+هي إيش المحصلة فf12 ساوى g في m1 m2 على r12 هى
+
+147
+00:13:25,650 --> 00:13:29,150
+قيمتها و اتجاهها في اتجاه مين في اتجاه ال X
+
+148
+00:13:29,150 --> 00:13:32,650
+direction في اتجاه ال I التانية في اتجاهها اتجاه
+
+149
+00:13:32,650 --> 00:13:36,950
+إيشالـ y direction الآن لما اجمع جيب المحصلة
+
+150
+00:13:36,950 --> 00:13:40,090
+بجمعها جمع اتجاهي طبعا هذا vector اللي موكبة في
+
+151
+00:13:40,090 --> 00:13:45,230
+اتجاه ال I زائد Zero في اتجاه ال Y هنا لها Zero في
+
+152
+00:13:45,230 --> 00:13:48,950
+اتجاه ال I زائد Zero في اتجاه ال X زائد المواكبة
+
+153
+00:13:48,950 --> 00:13:52,610
+التالية لما اجمعهم بجمع ال I component مع بعض و ال
+
+154
+00:13:52,610 --> 00:13:55,330
+Y component او ال X component مع بعض و ال Y
+
+155
+00:13:55,330 --> 00:13:59,290
+component مع بعض و بجيب المحصلة المحصلة هنا لأنها
+
+156
+00:13:59,290 --> 00:14:01,250
+متعمدة تطلع كافة غورص فقط
+
+157
+00:14:19,680 --> 00:14:26,720
+السؤال 58 بيقول calculation ده magnitude of
+
+158
+00:14:26,720 --> 00:14:33,780
+acceleration اللي ناشئة من مين؟من ال gravity على
+
+159
+00:14:33,780 --> 00:14:38,560
+ارتفاع قيمته altitude قيمته 100 كيلومتر يعني هذه
+
+160
+00:14:38,560 --> 00:14:48,580
+الكورة أرضية و فين دي ارتفاع الارتفاع هذا ارتفاع
+
+161
+00:14:48,580 --> 00:14:52,340
+ال H قيمته 100 كيلومتر
+
+162
+00:14:54,730 --> 00:14:57,410
+يعني مية كيلومتر ايش بتساوي؟ طبعا احنا بتحولها
+
+163
+00:14:57,410 --> 00:15:03,530
+لواحدة الأساسية اللي هي مية الكيلو في ألف وبس هو
+
+164
+00:15:03,530 --> 00:15:08,110
+عشرة أقص خمسة مترأذا الـ H عنده قيمتها بالساعة
+
+165
+00:15:08,110 --> 00:15:13,990
+عشرة و هنا عند ال R عشرة و خمسة متر و عند ال RE و
+
+166
+00:15:13,990 --> 00:15:17,370
+كتلة الأرض معروفة قيمتها ME حسبناها قبل هيك او
+
+167
+00:15:17,370 --> 00:15:20,990
+عرفينها احنا و ثابت اذا في هذا الحالة ال gravity
+
+168
+00:15:20,990 --> 00:15:25,350
+بقدر احسبها من القانون اللي هو G في ME على RE زاد
+
+169
+00:15:25,350 --> 00:15:30,070
+H كله موجود عنده و مانساش ان ال RE قيمتها ثابتة و
+
+170
+00:15:30,070 --> 00:15:35,160
+الكتلة الأرض معروفة و الكونستانوالارتفاع اللي هو
+
+171
+00:15:35,160 --> 00:15:39,680
+عشرة أقص خمسة بطلّي قيمتها لاحظوا الارتفاع لمّا
+
+172
+00:15:39,680 --> 00:15:43,240
+يصير تسعة point خمسة يعني كانت هي في الأصل تسعة
+
+173
+00:15:43,240 --> 00:15:47,740
+point تمانية قلت وصارت قيمتها الارتفاع ميت كيلومتر
+
+174
+00:15:47,740 --> 00:15:53,100
+صارت قيمتها تسعة point خمسة متر برسا كانت يعني
+
+175
+00:15:53,100 --> 00:15:57,460
+الارتفاع مقاله كل ما زاد الارتفاع كل ما قلت قيمة
+
+176
+00:15:57,460 --> 00:16:05,630
+الجاذبيةنذهب الان من التطبيقات على الحركة الدائرية
+
+177
+00:16:05,630 --> 00:16:10,810
+في مسار دائرى اللى هو حركة ال satellite motion ال
+
+178
+00:16:10,810 --> 00:16:15,810
+satellite motion اللى هو حركة القمر الاصطناعى مثلا
+
+179
+00:16:15,810 --> 00:16:21,190
+هو بيدور على ايش؟ بيدور حول الأرض طبعا هيدور ..
+
+180
+00:16:21,190 --> 00:16:28,000
+نعتبر انه بيدور في مسار ماله مسار دائركرة أرضية
+
+181
+00:16:28,000 --> 00:16:34,440
+كتلتها ME نصف قطرها RE وفي قمر بدور حواليها في
+
+182
+00:16:34,440 --> 00:16:40,340
+مسار دائري كتلته M بعده H المسافة من هنا إلى هنا
+
+183
+00:16:40,340 --> 00:16:46,080
+من المركز إلى المركز هي R الآن أنا بقول الجسم
+
+184
+00:16:46,080 --> 00:16:50,040
+بتحرك في مسار دائري مثلا بتحرك في مسار دائري مجموع
+
+185
+00:16:50,040 --> 00:16:55,120
+القوةاللي خلته يتحرك في مسار دائري، إيش سمناها؟
+
+186
+00:16:55,120 --> 00:16:58,800
+Centripetal force إيش قيمتها بتساوي؟ تساوي MV
+
+187
+00:16:58,800 --> 00:17:04,100
+تربيع على R إيش اللي يماسك القمر و أصل القمر ماله؟
+
+188
+00:17:04,100 --> 00:17:08,000
+يمشي قدلإذاً في قوة بقى لها centrifugal force إيش
+
+189
+00:17:08,000 --> 00:17:12,740
+بتعمل فيه بتجعلها تبقى مضبوط أو ممسوط في هذا مسار
+
+190
+00:17:12,740 --> 00:17:16,620
+الدائرة إيش هذه القوة اللي اتكلمنا عنها الآن هي
+
+191
+00:17:16,620 --> 00:17:20,720
+ناشعة من الجذب الكتر إذا بقدر أقول هذه القيمة Mv
+
+192
+00:17:20,720 --> 00:17:28,360
+تربيع على R بتسويله اللي هو ثابت الجذب العام في
+
+193
+00:17:28,360 --> 00:17:34,100
+كتلة الأرض في كتلة القمر على المسافة بينهم square
+
+194
+00:17:35,730 --> 00:17:44,530
+وماانساش ان المسافة بتساوي RE زائد H الان
+
+195
+00:17:44,530 --> 00:17:47,990
+بس عملية الاختصار ممكن اوجد السرعة اللي بتحرك فيها
+
+196
+00:17:47,990 --> 00:17:55,170
+الجسم اذا انا عملت شوية اختصارات هنا ايش حاسسيه
+
+197
+00:17:55,170 --> 00:17:59,510
+عندى V السرعة اللي لازم يتحركها حتى دلو مضبوط في
+
+198
+00:17:59,510 --> 00:18:08,980
+هذا المصار بساوي جذر الجي في MA على Rالجدل الكوري
+
+199
+00:18:08,980 --> 00:18:12,360
+طبعا هذه
+
+200
+00:18:12,360 --> 00:18:15,160
+السرعة اللي لازم يتحرك فيها حتى يبقى على نفس
+
+201
+00:18:15,160 --> 00:18:19,400
+الارتفاع طيب لو انا بدى احسب الفترة الزمنية لللف
+
+202
+00:18:19,400 --> 00:18:22,720
+الكاملة السرعة صارت معروفة عندى لذا بقدر اقول
+
+203
+00:18:22,720 --> 00:18:26,580
+الزمن اللى بتستغرق دورة كاملة لهذا ال satellite
+
+204
+00:18:26,580 --> 00:18:34,540
+بيساوي بيساوي المحيط عندى على V مش السرعة بيساوي
+
+205
+00:18:35,560 --> 00:18:39,560
+المسافة أو الإزاحة على الزمن إذا الإزاحة كده
+
+206
+00:18:39,560 --> 00:18:45,840
+قيمتها 2 by a على الزمن ومنها الزمن لف الكاملة او
+
+207
+00:18:45,840 --> 00:18:49,840
+ال period time مثلا ال period بيساوي 2 by a على V
+
+208
+00:18:49,840 --> 00:18:54,980
+إذا ال period بيساوي 2 by a على V ال V قيمتها هيها
+
+209
+00:18:54,980 --> 00:19:00,200
+لو أنا عوضت عنها بقيمتها بيطلع ال period قيمته
+
+210
+00:19:00,200 --> 00:19:06,480
+بيساوي هذا الكلامأذا ال orbit اللي ما ال satellite
+
+211
+00:19:06,480 --> 00:19:12,080
+بتحرك فيه مثلا دائرة في ان ده gravitational force
+
+212
+00:19:12,080 --> 00:19:18,070
+between ال satellite و الأرضو هد بتعمل هد هي اللي
+
+213
+00:19:18,070 --> 00:19:22,790
+بتكون الcentripetal force عوضت عنها عن قيمة
+
+214
+00:19:22,790 --> 00:19:25,430
+الcentripetal force و طلعت السرعة اللي لازم يتحرك
+
+215
+00:19:25,430 --> 00:19:30,250
+فيها عند هذا ال altitude او الارتفاع بعد هيك و
+
+216
+00:19:30,250 --> 00:19:36,370
+قدرت انه اوجد الزمن اللي اللي اللي باخده حتى يدور
+
+217
+00:19:36,370 --> 00:19:42,430
+لفة كاملة لاحظوا الزمن بتنقسم مع مين زمن الاتنين
+
+218
+00:19:42,430 --> 00:19:56,310
+بعيدثابت ثابت ثابت ثابت
+
+219
+00:19:56,310 --> 00:19:57,210
+ثابت ثابت ثابت ثابت ثابت ثابت ثابت ثابت ثابت ثابت
+
+220
+00:19:57,210 --> 00:19:57,410
+ثابت ثابت ثابت ثابت ثابت ثابت ثابت ثابت ثابت ثابت
+
+221
+00:19:57,410 --> 00:20:02,590
+ثابت ثابت ثابت ثابت
+
+222
+00:20:02,590 --> 00:20:13,630
+ثابت ثابت ثابت ثابت ثابتالرديوس الو يعني ال H والR
+
+223
+00:20:13,630 --> 00:20:20,210
+للأرض وهي الارض و ال H والR هذه قيمتها ستمية ستمية
+
+224
+00:20:20,210 --> 00:20:26,570
+ستمية ستمية ستمية كيلو مترwhat must be its speed
+
+225
+00:20:26,570 --> 00:20:30,410
+ما احنا عارفين ان هذه القيمة لازم يكون لها سرعة
+
+226
+00:20:30,410 --> 00:20:33,770
+قيمتها ايش ما لها ثابتة لو زادت السرعة ايش بيصير
+
+227
+00:20:33,770 --> 00:20:36,950
+عندى؟ لو جلت السرعة ايش بيصير عندى؟ لذا انا في
+
+228
+00:20:36,950 --> 00:20:41,130
+سرعة محددة بتخليني اضل على ايش؟ على هذا الارتفاع
+
+229
+00:20:41,130 --> 00:20:45,130
+لذا بدك قول السرعةمن القانون الموجود عندى اللى انا
+
+230
+00:20:45,130 --> 00:20:49,910
+طلعته سواء جي في م ا على ا كله موجود عندى الآن
+
+231
+00:20:49,910 --> 00:20:54,530
+بطلع قيمة السرعة اللى لازم يتحرك فيها حتى يبقى على
+
+232
+00:20:54,530 --> 00:20:59,710
+هذا المسار اي يبقى على ارتفاع او مسار دائر نصف كتر
+
+233
+00:20:59,710 --> 00:21:03,490
+و جداش قيمته ستة لاف و تمانية كيلومتر لو حسبنا ال
+
+234
+00:21:03,490 --> 00:21:07,030
+بيروت ماعلي اطبق القانون اللى انا طلعته بطلع ال
+
+235
+00:21:07,030 --> 00:21:12,110
+بيروت بلا جيكل واحد وخمسة وخمسين من مية hour بيلف
+
+236
+00:21:12,110 --> 00:21:20,410
+لفة كامة حوالين الأرض وهيك بيكون ال chapter خلص ان
+
+237
+00:21:20,410 --> 00:21:25,970
+شاء الله في المحاضرة الجاي بنحاول ناخد chapter
+
+238
+00:21:25,970 --> 00:21:30,350
+اللي هو ستة لكن انا بقول ملاحظة دائما ان chapter
+
+239
+00:21:30,350 --> 00:21:36,640
+أربعة وخمسة وستة وسبعة وانا ماشي بالزمن دائماأرسم
+
+240
+00:21:36,640 --> 00:21:39,840
+حاجة اسمها الـ free body diagram يعني دائما بدي
+
+241
+00:21:39,840 --> 00:21:45,040
+أدور على القوة اللي بتأثر على هذا الجسم وبعد ما حط
+
+242
+00:21:45,040 --> 00:21:48,180
+القوة اللي بتأثر على هذا الجسم لما جيت هنا قلت
+
+243
+00:21:48,180 --> 00:21:52,340
+القوة اللي بتأثر على الجسم قيمتها F تأثير F اللي
+
+244
+00:21:52,340 --> 00:21:56,820
+هي واحد اتنين او F اتنين على واحد وبعد ما حددت
+
+245
+00:21:56,820 --> 00:22:01,130
+القوةطبقت اللي هو الcentrifugal force ووجدت قيمة
+
+246
+00:22:01,130 --> 00:22:04,650
+ال V ووجدت قيمة ال period time ويعطيكوا العافية
+
+247
+00:22:04,650 --> 00:22:07,990
+وحاولوا قد الإمكان اتراجعوا الأسئلة اللي موجودة
+
+248
+00:22:07,990 --> 00:22:11,470
+على نهاية ال chapter تدرسوها إذا في أي مشاكل ممكن
+
+249
+00:22:11,470 --> 00:22:16,050
+احنا نحاول انحلها في المحاضرة في محاضرة خاصة
+
+250
+00:22:16,050 --> 00:22:17,270
+ويعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/A4pT70WRAmg_raw.json b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/A4pT70WRAmg_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..a1cc560441e8e495f6ffa6eba19ac32749fc9490
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/A4pT70WRAmg_raw.json
@@ -0,0 +1 @@
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"seek": 87002, "start": 859.68, "end": 870.02, "text": "السؤال 58 بيقول calculation ده magnitude of acceleration اللي ناشئة من مين؟", "tokens": [6027, 3794, 33604, 6027, 1025, 23, 4724, 1829, 39648, 17108, 11778, 3224, 15668, 295, 17162, 13672, 1829, 8717, 33599, 19986, 3660, 9154, 3714, 9957, 22807], "avg_logprob": -0.45192307577683377, "compression_ratio": 1.03, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 859.6800000000001, "end": 861.08, "word": "السؤال", "probability": 0.646331787109375}, {"start": 861.08, "end": 862.48, "word": " 58", "probability": 0.21856689453125}, {"start": 862.48, "end": 863.4, "word": " بيقول", "probability": 0.76025390625}, {"start": 863.4, "end": 863.98, "word": " calculation", "probability": 0.32373046875}, {"start": 863.98, "end": 864.16, "word": " ده", "probability": 0.5633544921875}, {"start": 864.16, "end": 864.88, "word": " magnitude", "probability": 0.95263671875}, {"start": 864.88, "end": 866.72, "word": " of", "probability": 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1327.15, "word": " الأسئلة", "probability": 0.9666748046875}, {"start": 1327.15, "end": 1327.59, "word": " اللي", "probability": 0.6680908203125}, {"start": 1327.59, "end": 1327.99, "word": " موجودة", "probability": 0.9862060546875}, {"start": 1327.99, "end": 1328.13, "word": " على", "probability": 0.8876953125}, {"start": 1328.13, "end": 1328.41, "word": " نهاية", "probability": 0.9632161458333334}, {"start": 1328.41, "end": 1328.53, "word": " ال", "probability": 0.54833984375}, {"start": 1328.53, "end": 1328.79, "word": " chapter", "probability": 0.91455078125}, {"start": 1328.79, "end": 1329.93, "word": " تدرسوها", "probability": 0.983642578125}, {"start": 1329.93, "end": 1330.23, "word": " إذا", "probability": 0.875}, {"start": 1330.23, "end": 1330.41, "word": " في", "probability": 0.85400390625}, {"start": 1330.41, "end": 1330.59, "word": " أي", "probability": 0.6845703125}, {"start": 1330.59, "end": 1331.17, "word": " مشاكل", "probability": 0.9869791666666666}, {"start": 1331.17, "end": 1331.47, "word": " ممكن", "probability": 0.97021484375}, {"start": 1331.47, "end": 1331.73, "word": " احنا", "probability": 0.7861328125}, {"start": 1331.73, "end": 1332.77, "word": " نحاول", "probability": 0.9862060546875}, {"start": 1332.77, "end": 1333.35, "word": " انحلها", "probability": 0.931396484375}, {"start": 1333.35, "end": 1333.51, "word": " في", "probability": 0.97900390625}, {"start": 1333.51, "end": 1334.19, "word": " المحاضرة", "probability": 0.964111328125}, {"start": 1334.19, "end": 1334.63, "word": " في", "probability": 0.387451171875}, {"start": 1334.63, "end": 1335.05, "word": " محاضرة", "probability": 0.8846435546875}, {"start": 1335.05, "end": 1336.05, "word": " خاصة", "probability": 0.9952799479166666}, {"start": 1336.05, "end": 1336.91, "word": " ويعطيكوا", "probability": 0.9427083333333334}, {"start": 1336.91, "end": 1337.27, "word": " العافية", "probability": 0.98046875}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1337.6319375, "duration_after_vad": 1285.6174999999992}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/AjELtxxXa20.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/AjELtxxXa20.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0b20a2f12a75d9fe7c868b4ff32ce39275562699
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/AjELtxxXa20.srt
@@ -0,0 +1,897 @@
+1
+00:00:05,110 --> 00:00:08,590
+بسم الله الرحمن الرحيم، يا عطيكم العافية، اليوم إن
+
+2
+00:00:08,590 --> 00:00:12,270
+شاء الله، نكمل chapter عشرة أو جزئية ثانية في
+
+3
+00:00:12,270 --> 00:00:15,270
+chapter عشرة، اللي هي الـ torque، الـ torque اللي هو
+
+4
+00:00:15,270 --> 00:00:22,190
+العزم، العزم اللي لو أنا فيه عند جسم بيتحرك في
+
+5
+00:00:22,190 --> 00:00:29,950
+مسار دائري، بلفّ،  أخرت باب، سحبتها، حنفية المياه، كل هذه
+
+6
+00:00:29,950 --> 00:00:34,050
+بتأثر بقوة، هذه القوة بتعمل عزم.
+
+7
+00:00:36,820 --> 00:00:41,100
+طبعًا هنا في محول للدورة، فده هيبدأ يلف، ماذا؟ القوة
+
+8
+00:00:41,100 --> 00:00:46,980
+أثرت، بدي أحسب الـ torque اللي موجودة، الـ torque
+
+9
+00:00:46,980 --> 00:00:47,800
+بده حاجتين.
+
+10
+00:00:54,490 --> 00:00:58,890
+طبعًا هو حاصل ضرب الـ R cross الـ F، R vector
+
+11
+00:00:58,890 --> 00:01:04,050
+displacement، و الـ F هو الـ force، الـ torque بيطلع الـ
+
+12
+00:01:04,050 --> 00:01:09,450
+vector، طب vector حاصل ضرب to vectors، خليناها شوية
+
+13
+00:01:09,450 --> 00:01:16,770
+رواحة، بيطلع عندي vector بيكون عمودي على مين؟ الـ
+
+14
+00:01:16,770 --> 00:01:20,490
+vector، الـ torque عمودي على الـ R و عمودي على مين؟
+
+15
+00:01:20,490 --> 00:01:27,630
+على الـ F، يعني هنا هي الـ F وهي الـ R، الـ torque وين؟
+
+16
+00:01:27,630 --> 00:01:33,070
+هو عبارة عن محور الدوران، يعني بجيب محور الدوران.
+
+17
+00:01:33,070 --> 00:01:38,910
+بطبق قاعدة اليد اليمنى، الـ R وين؟ هيها، والقوة
+
+18
+00:01:38,910 --> 00:01:44,510
+وين؟ لفوق، إذًا الـ torque وين اتجاهه؟ لفوق. طيب لو
+
+19
+00:01:44,510 --> 00:01:51,330
+قلت إنّه طلع في الاتجاه الموجب I، موجب I إيش معناه؟
+
+20
+00:01:51,330 --> 00:01:57,830
+الدوران، دوران مع عقارب الساعة أو عكس عقارب الساعة.
+
+21
+00:01:57,830 --> 00:02:02,370
+مع عقارب الساعة إشارته سالبة، وعكس عقارب
+
+22
+00:02:02,370 --> 00:02:06,250
+الساعة إشارته موجبة، إذًا ممكن يطلع الـ torque عند
+
+23
+00:02:06,250 --> 00:02:11,450
+قيمته موجبة، وممكن يطلع قيمته سالبة، وهذا متجه بيحدد
+
+24
+00:02:11,450 --> 00:02:15,950
+اتجاه محور الدوران، وهل هو مع عقارب الساعة أو عكس
+
+25
+00:02:15,950 --> 00:02:23,400
+عقارب الساعة، إذًا الـ rotation عندك بتكون موجبة عكس
+
+26
+00:02:23,400 --> 00:02:29,280
+عقارب الساعة، وسالبة تكون مع عقارب الساعة، ومن
+
+27
+00:02:29,280 --> 00:02:34,340
+خلال الضرب، بجيب محور الدوران، لو قلت سالب، طلعت الـ
+
+28
+00:02:34,340 --> 00:02:39,560
+torque سالب، إيه، إيش معناه؟ إشارة السالبة معناها
+
+29
+00:02:39,560 --> 00:02:45,690
+محور الدوران، هي في اتجاه الـ X، ولكن هو بيتطلّع... بيتطلّع
+
+30
+00:02:45,690 --> 00:02:51,250
+عليه الدوران، ماله؟ مع عقارب الساعة، بيدور زي هيك، لو
+
+31
+00:02:51,250 --> 00:02:55,770
+كانت موجبة، فهي محور الدوران، و بيدور عكس عقارب
+
+32
+00:02:55,770 --> 00:03:00,890
+الساعة، إذًا أنا بحدد محور الدوران مع عقارب الساعة
+
+33
+00:03:00,890 --> 00:03:06,950
+أو عكس عقارب الساعة، طب لو كان عندي جسم، بيلزم حاجتين.
+
+34
+00:03:06,950 --> 00:03:12,370
+ممكن مر عليكم قبل ذلك، R cross الـ torque، سواء R
+
+35
+00:03:12,370 --> 00:03:18,370
+cross F، وهذا بيساوي الـ torque، قيمته تساوي R في F
+
+36
+00:03:18,370 --> 00:03:24,510
+في sin الزاوية بين الـ θ، بين الـ F و بين الـ R، و
+
+37
+00:03:24,510 --> 00:03:28,510
+الـ torque، R، و sin الـ θ هي عبارة عن البعد
+
+38
+00:03:28,510 --> 00:03:33,910
+العمودي، إذًا بقدر أقول F في R العمودية، إذًا الزاوية
+
+39
+00:03:33,910 --> 00:03:37,910
+عمودية، هي الـ R العمودية، طب لو كانت عندي هي الـ
+
+40
+00:03:37,910 --> 00:03:44,190
+torque، هي الـ rod اللي بيكون موجود عندي، طوله 1000
+
+41
+00:03:44,540 --> 00:03:52,880
+أثرت عليه قوة زي هيك، هذه الـ F، وهذه الـ R، بدّي الزاوية
+
+42
+00:03:52,880 --> 00:03:59,980
+اللي بينهم، هذه الزاوية اللي بينهم، إذًا F في R في
+
+43
+00:03:59,980 --> 00:04:05,000
+إيش؟ في sin الزاوية اللي بين الاثنين، طيب لو أنا
+
+44
+00:04:05,000 --> 00:04:10,760
+أخذت نقطة ثانية، هاي الـ R هنا، هل هتختلف القيمة؟ إذًا
+
+45
+00:04:10,760 --> 00:04:17,680
+الـ R هو نقطة الدوران، وأي نقطة واقعة على خط عمل
+
+46
+00:04:17,680 --> 00:04:22,580
+القوة، هذه هي الـ R، الزاوية اللي بينهم، أيًا منهما؟
+
+47
+00:04:22,580 --> 00:04:30,060
+الاثنين، طب لو أسقطت عمود هنا، R العمودية إيش بتمثل؟ R
+
+48
+00:04:30,060 --> 00:04:33,300
+sin الزاوية، أي واحد فيهم؟ R sin الزاوية، هي الـ R
+
+49
+00:04:33,300 --> 00:04:38,440
+العمودية في مين؟ في الـ F، المعطى، الـ torque، لذا
+
+50
+00:04:38,440 --> 00:04:46,490
+الـ torque، قيمته، يا بجيب R، و R هو نقطة الدوران، وأي
+
+51
+00:04:46,490 --> 00:04:50,950
+نقطة واقعة على خط عمل القوة، هذه الـ R، والزاوية
+
+52
+00:04:50,950 --> 00:04:55,350
+اللي بينهم، بقدر أحددها، sin الزاوية، أو بجيب البعد
+
+53
+00:04:55,350 --> 00:05:00,850
+العمودي، R في ذراع القوة، بعطيني F في ذراع القوة
+
+54
+00:05:00,850 --> 00:05:06,690
+بعطيني الـ torque، نجي ناخد مثال، بيقول في عنده wheel
+
+55
+00:05:06,690 --> 00:05:12,960
+أو عجلة، أثرت عليها قوة قيمتها عشرة نيوتن، بدّي أحسب
+
+56
+00:05:12,960 --> 00:05:18,140
+الـ torque اللي ناشئ على هذه الـ wheel، على هذه
+
+57
+00:05:18,140 --> 00:05:22,400
+العجلة، طبعًا هذه المسافة من هنا إلى هنا هي نصف متر.
+
+58
+00:05:22,400 --> 00:05:25,900
+أول
+
+59
+00:05:25,900 --> 00:05:30,320
+حاجة، هذه القوة اللي أثرت فيها، يا بمدّها، باجئتين،
+
+60
+00:05:30,320 --> 00:05:36,960
+فنُسقِطُ عمودًا من هذه النقطة، هذه R العمودية، إذًا قدرت
+
+61
+00:05:36,960 --> 00:05:40,840
+تحسب الـ R العمودي، خلاص، القوة في ضلعها، مع عقارب
+
+62
+00:05:40,840 --> 00:05:44,260
+الساعة ولا عكس عقارب الساعة؟ هذه نقطة الدوران، القوة
+
+63
+00:05:44,260 --> 00:05:47,040
+هذه، لما أزوّجها زي هيك، وإن بده يدور، بيدور بهذا
+
+64
+00:05:47,040 --> 00:05:52,860
+الشكل، هذا الشكل عكس عقارب الساعة، إذًا هيطلع عكس
+
+65
+00:05:52,860 --> 00:05:58,440
+معناها قيمته موجبة، قيمته موجبة، واتجاهه بهذا
+
+66
+00:05:58,440 --> 00:06:04,890
+الاتجاه، إذًا الـ torque بيساوي، الـ torque بيساوي R
+
+67
+00:06:04,890 --> 00:06:09,470
+في sin الزاوية، لو أنا حسبتها بطريقة ثانية، الزاوية
+
+68
+00:06:09,470 --> 00:06:15,710
+هذه تطلع ثلاثين، إذًا عشرة في نصف متر في sin
+
+69
+00:06:15,710 --> 00:06:21,390
+الثلاثين، بتعطيني اللي هي قيمة الـ torque، إذًا الـ
+
+70
+00:06:21,390 --> 00:06:27,970
+torque بيساوي R cross الـ F، وبيساوي R في F في sin
+
+71
+00:06:27,970 --> 00:06:31,930
+الزاوية اللي بينهم، الزاوية اللي بينهم، بقدر أُحدّدها.
+
+72
+00:06:31,930 --> 00:06:36,970
+هذه كلها ستين، إذًا هذه ثلاثين وهذه ثلاثين، إذًا بقول
+
+73
+00:06:36,970 --> 00:06:43,410
+R في F في sin الثلاثين، كلّه موجود عندي، الـ R نصف
+
+74
+00:06:43,410 --> 00:06:48,290
+متر، F أعطاني قيمتها عشرة نيوتن، في sin الثلاثين،
+
+75
+00:06:48,290 --> 00:06:52,610
+بيطلع قيمتها، ممكن أُحدّدها بطريقة ثانية، R العمودية
+
+76
+00:06:52,610 --> 00:06:59,000
+بتساوي، مثلث قائم الزاوية، مثلث قائم الزاوية، هذا
+
+77
+00:06:59,000 --> 00:07:02,920
+الوضْع، قيمته
+
+78
+00:07:02,920 --> 00:07:11,180
+بـتساوي نصف sin الزاوية، نصف
+
+79
+00:07:11,180 --> 00:07:12,860
+sin الزاوية الثلاثين، نصف sin الثلاثين، هذه الزاوية
+
+80
+00:07:12,860 --> 00:07:18,140
+ثلاثين، نصف sin الثلاثين، بقدر أطلع قيمتها، أو أُعوّض
+
+81
+00:07:18,140 --> 00:07:21,600
+عنها، نصف sin الثلاثين، هذه نصف sin الثلاثين في القوة
+
+82
+00:07:21,600 --> 00:07:24,760
+بعطينا اثنين ونصف، إشارتها موجبة.
+
+83
+00:07:30,040 --> 00:07:38,280
+إشارتها هتكون موجبة وليست سالبة، يعني معناها
+
+84
+00:07:38,280 --> 00:07:46,460
+بالنور، مع عقارب الساعة، نكمل
+
+85
+00:07:46,460 --> 00:07:51,600
+في
+
+86
+00:07:51,600 --> 00:07:57,380
+عندي rod، أثرت عليه مجموعة من القوة، مثال رقم خمسة
+
+87
+00:07:57,380 --> 00:08:03,120
+عشرة، rod طوله اثنين متر، وزنه أو كتلته خمسة نيوتن،
+
+88
+00:08:03,120 --> 00:08:09,700
+أثرت عليه قوتين، القوة كما في الشكل، القوة اللي
+
+89
+00:08:09,700 --> 00:08:14,660
+بتحسب الـ total torque، جدّي توتر، جدّي شُقومتر، أول
+
+90
+00:08:14,660 --> 00:08:20,900
+حاجة، في عندك أربعين نيوتن تجاه الأسفل، في وزنه خمسة
+
+91
+00:08:20,900 --> 00:08:25,300
+نيوتن، الـ weight له خمسة نيوتن، هي قوة، وفي قوة
+
+92
+00:08:25,300 --> 00:08:29,740
+قيمتها عشرة نيوتن، أثرت بزاوية ثلاثين، كيف بدي أحسب
+
+93
+00:08:29,740 --> 00:08:33,520
+الـ torque؟ الـ torque بدي أحسبه من ثلاث قوى، بدي أقول
+
+94
+00:08:33,520 --> 00:08:35,680
+الـ torque الناشئ من القوة الأولى، زي الـ torque
+
+95
+00:08:35,680 --> 00:08:37,820
+الناشئ من القوة الثانية، زي الـ torque الناشئ من
+
+96
+00:08:37,820 --> 00:08:41,080
+القوة الثالثة، ومين موجب مع عقارب الساعة، ومين موجب
+
+97
+00:08:41,080 --> 00:08:44,300
+عكس عقارب الساعة، ومين سالب مع عقارب الساعة، زي إن الـ
+
+98
+00:08:44,300 --> 00:08:49,320
+torque بيساوي، الـ torque من القوة الأربعين، زي الـ
+
+99
+00:08:49,320 --> 00:08:56,260
+torque من القوة الخمسة، زائد الـ torque من القوة العشرة، الـ
+
+100
+00:08:56,260 --> 00:08:59,840
+torque من القوة العشرة سهل أجيبه، الـ torque من
+
+101
+00:08:59,840 --> 00:09:04,160
+الأربعين، في البعد العمودي له، قيمته نصف متر، إذًا الـ
+
+102
+00:09:04,160 --> 00:09:10,120
+torque من الأربعين بيساوي القوة في ذراعها، أربعين
+
+103
+00:09:10,120 --> 00:09:15,640
+ضرب نصف، وين بتتحرك؟ موجب ولا سالب؟
+
+104
+00:09:18,650 --> 00:09:23,250
+اتجاه الدوران مع عقارب الساعة، هذا سالب، نجي للقوة
+
+105
+00:09:23,250 --> 00:09:26,370
+الثانية، هذه محور الدوران، القوة الثانية، الخمسة،
+
+106
+00:09:26,370 --> 00:09:31,350
+بتنجذب لأسفل، دوران زي هيك، دورانها كمان بالسالب، مع
+
+107
+00:09:31,350 --> 00:09:36,290
+عقارب الساعة، هذه القوة الأخيرة، بتنسحب لفوق، دورانها
+
+108
+00:09:36,290 --> 00:09:42,690
+زي هيك، دورانها عكس عقارب الساعة، بالموجب، في عند
+
+109
+00:09:42,690 --> 00:09:48,380
+قوتين سالب، سالب مع عقارب الساعة، والقوة الأخيرة
+
+110
+00:09:48,380 --> 00:09:54,000
+بالموجب، الـ torque من الأربعين طلعت معايا سالب، ليش
+
+111
+00:09:54,000 --> 00:09:58,780
+سالب؟ لأنها، قلنا، اتفقنا من البداية، مع عقارب الساعة.
+
+112
+00:09:58,780 --> 00:10:04,440
+إذًا أربعين في نصف، بيطلع عندي، أربعين في نصف، بيطلع عندي
+
+113
+00:10:04,440 --> 00:10:13,260
+قيمتها سالب عشرين نيوتن متر، الـ
+
+114
+00:10:13,260 --> 00:10:18,840
+torque من الخمسة، تساوي خمسة في ذراعها، إشارة سالبة،
+
+115
+00:10:18,840 --> 00:10:22,480
+خمسة في ذراعها واحد متر، في واحد، بيطلع عندي قيمتها
+
+116
+00:10:22,480 --> 00:10:27,800
+سالب خمسة نيوتن متر، الـ torque من العشرة نيوتن، ممكن
+
+117
+00:10:27,800 --> 00:10:31,760
+أُحَلّها مباشرة من العشرة، ويقول هي عبارة، هدا مدّها على
+
+118
+00:10:31,760 --> 00:10:36,440
+استقامتها، أو أجيب الـ R في الـ R، هيها، وهي الـ F،
+
+119
+00:10:36,440 --> 00:10:39,660
+الزاوية بينهم ثلاثين، الـ torque من العشرة بيساوي
+
+120
+00:10:39,660 --> 00:10:49,510
+عشرة في اثنين متر في sin الثلاثين، أو أجسّمها جسميًا،
+
+121
+00:10:49,510 --> 00:10:54,590
+أعملها قوتين، واحد في اتجاه الـ X، واحد في اتجاه الـ Y،
+
+122
+00:10:54,590 --> 00:11:02,030
+لو القوة في اتجاه الـ X، إيش رأيكم فيها؟ الـ torque
+
+123
+00:11:02,030 --> 00:11:06,570
+لها، الـ torque لها بيساوي صفر، يعني يا بجيبها بعد
+
+124
+00:11:06,570 --> 00:11:10,250
+الطريقة، بتطلع قيمتها بالموجب، يا بجيبها من الطريقة
+
+125
+00:11:10,250 --> 00:11:14,820
+الثانية، الـ torque من عشرة cos الثلاثين، والـ
+
+126
+00:11:14,820 --> 00:11:19,320
+torque من عشرة cos الثلاثين، بيقسمها جسمين، يعني
+
+127
+00:11:19,320 --> 00:11:22,100
+هذا، ممكن أحلها زي هيك، أو أجمعهم مع بعض، الثلاثة، و
+
+128
+00:11:22,100 --> 00:11:26,340
+خلصنا منهم، أو ممكن أقسّمهم جسمين، الـ torque من عشرة
+
+129
+00:11:26,340 --> 00:11:31,160
+cos الثلاثين، من تحليل القوة، بيمر بمين؟ بنقطة
+
+130
+00:11:31,160 --> 00:11:35,100
+الدوران، is then zero، هذا الـ rod، وأنا بدي أثّر
+
+131
+00:11:35,100 --> 00:11:39,240
+عليه القوة بهذا الشكل، هذا اللي بيعمل دوران لمين؟
+
+132
+00:11:39,240 --> 00:11:43,140
+القوة اللي بتعمل دوران، إذًا كانت بتأثر بزاوية، أو
+
+133
+00:11:43,140 --> 00:11:46,720
+بتأثر مباشرة بزاوية تسعين درجة، هي الـ maximum، لذا
+
+134
+00:11:46,720 --> 00:11:51,100
+في هذه الحالة، اللي بتلزمني هي sin الثلاثين، جدّيش
+
+135
+00:11:51,100 --> 00:11:56,180
+ذراعها؟ ذراعها اثنين متر، لذا بقدر أقول sin
+
+136
+00:11:56,180 --> 00:12:03,420
+الثلاثين، أو عشرة في sin الثلاثين، مضروبة في اثنين،
+
+137
+00:12:03,420 --> 00:12:08,140
+وهذه قيمتها بتساوي صفر، لذن كأن القوة عندي أنا صارت
+
+138
+00:12:08,140 --> 00:12:12,780
+أربع قوى، أربعين، وخمسة، وعشرة cos الثلاثين، وعشرة
+
+139
+00:12:12,780 --> 00:12:16,200
+cos الثلاثين، بتُغلَى، لأنها بتمّر
+
+140
+00:12:16,200 --> 00:12:22,120
+بنقطة الدوران، بضل عندي عشرة cos الثلاثين، عشرة في
+
+141
+00:12:22,120 --> 00:12:24,520
+اثنين cos الثلاثين، أنا جبتها من البداية، عشرة في
+
+142
+00:12:24,520 --> 00:12:27,540
+اثنين cos الثلاثين، وإشارتها بالموجب، ليش إشارتها
+
+143
+00:12:27,540 --> 00:12:33,340
+بالموجب؟ دورانها لوين؟ إلى الأعلى، بجمعهم مع بعض، بيطلع
+
+144
+00:12:33,340 --> 00:12:37,280
+جدّيش قيمتهم؟ لما أجمعهم، سالب خمسة، الإشارة السالبة
+
+145
+00:12:37,280 --> 00:12:41,380
+بتبين على وين الدوران؟ هل هو مع عقارب الساعة ولا
+
+146
+00:12:41,380 --> 00:12:49,360
+عكس عقارب الساعة؟ إذًا بنطلع مع عقارب الساعة، نجي
+
+147
+00:12:49,360 --> 00:12:52,320
+نتكلم عن علاقة الـ torque بالـ angular acceleration.
+
+148
+00:13:14,630 --> 00:13:17,210
+الـ torque له علاقة بالـ angular acceleration، أول
+
+149
+00:13:17,210 --> 00:13:21,350
+حاجة، الـ torque، دي اسم إيش؟ بيساوي R في dθ، عندي
+
+150
+00:13:21,350 --> 00:13:26,110
+الـ torque بيساوي القوة الـ F tangential في الـ R، ليش
+
+151
+00:13:26,110 --> 00:13:29,210
+أخذت الـ F tangential؟ لأنّه، بعتبر ذراع القوة
+
+152
+00:13:29,210 --> 00:13:33,380
+عنده، الـ R العمودية، إذًا كأنّه نصف القطر، هي الـ R
+
+153
+00:13:33,380 --> 00:13:37,640
+العمودية، الـ F tangential، ليش بيساوي الـ M في الـ
+
+154
+00:13:37,640 --> 00:13:40,620
+A center of mass؟ ليش ما أخذتش الـ radial؟ الـ radial
+
+155
+00:13:40,620 --> 00:13:43,960
+لإنها بتعملش دوران، الـ radial بتمر بنقطة، مِية
+
+156
+00:13:43,960 --> 00:13:47,780
+بالمركز، يعني أي جسم، مين اللي بتعمل دوران؟
+
+157
+00:13:47,780 --> 00:13:50,940
+التانجينشال، لكن المركزية بتعمل دوران؟ لأ، بضلّها
+
+158
+00:13:50,940 --> 00:13:57,110
+محافظة على مين؟ على اللي هو البعد، اللي هو الـ R، الـ
+
+159
+00:13:57,110 --> 00:13:59,730
+F tangential بيساوي الـ a في الـ M center of mass،
+
+160
+00:13:59,730 --> 00:14:03,610
+التانجينشال، والـ M في الـ a center of mass، الـ
+
+161
+00:14:03,610 --> 00:14:09,370
+Summation للـ M، كأن أجزاء، عند كل واحد إلها R1، R2،
+
+162
+00:14:09,370 --> 00:14:13,350
+R3، بتعمل summation للكل، حتى تجيب الكتلة الكلية،
+
+163
+00:14:13,350 --> 00:14:16,030
+إذًا في هذا الحال، كأن الـ M في الـ a center of mass
+
+164
+00:14:16,030 --> 00:14:21,130
+هي summation، الـ I بيساوي 1 للـ N، م I في a tangential
+
+165
+00:14:21,130 --> 00:14:26,470
+لكل جسم موجود عندي، طبعًا أنا بعرف الـ summation هو إيش
+
+16
+
+223
+00:19:17,530 --> 00:19:27,330
+I في A على R2 بتعويض عن قيمة T هنا ونُنقلها على
+
+224
+00:19:27,330 --> 00:19:36,670
+الطرف الثاني بيصير عندنا MG ناقص I في A على R2
+
+225
+00:19:36,670 --> 00:19:42,300
+بتساوي M في A، ننقل هذا على الطرف الثاني، ونأخذ الـ A
+
+226
+00:19:42,300 --> 00:19:47,900
+عامل مشترك ونُطلِع قيمة الـ A، لكن إذا أعطاني الـ I
+
+227
+00:19:47,900 --> 00:19:51,220
+كان بيكون، ما أعطانيش الـ I، البكرة معروف الـ I للبكره من
+
+228
+00:19:51,220 --> 00:20:00,970
+الجدول، الـ I للبكره بتساوي نص MR تربيع، أو للعجلة، أو
+
+229
+00:20:00,970 --> 00:20:05,350
+لأي صوانة، بالدول نص مربع عمقها، لذا لها I من
+
+230
+00:20:05,350 --> 00:20:09,250
+خلال المعادلتين 1 و 2، نُطلِق قيمة الـ acceleration، وبعد
+
+231
+00:20:09,250 --> 00:20:12,270
+ما نُطلِق قيمة الـ acceleration، بقدر أُطلِق قيمة الشد
+
+232
+00:20:12,270 --> 00:20:18,590
+نأخذ مثالًا آخر على هذا الكلام، بقول في عندنا جسمين
+
+233
+00:20:18,590 --> 00:20:23,450
+مربوطين بحبل، وبينهما بكرة، البكرة ما كناش آخذين لها
+
+234
+00:20:23,450 --> 00:20:26,850
+اعتبارًا، اليوم بدي آخذ لها اعتبار، البكرة عبارة عن
+
+235
+00:20:26,850 --> 00:20:33,790
+إيش؟ عبارة عن جسم تؤثر عليه قوتان، لأن درسنا من الـ free
+
+236
+00:20:33,790 --> 00:20:38,150
+body diagram، لجسم الأول، الـ free body diagram لجسم
+
+237
+00:20:38,150 --> 00:20:41,770
+الثاني، والـ free body diagram للبكره، أول حاجة
+
+238
+00:20:41,770 --> 00:20:46,590
+لجسم الأول: موازنة لأسفل، أو قوة في الجهة... فيه
+
+239
+00:20:46,590 --> 00:20:49,630
+normal force، هنا لو في friction، ده شوف هل في
+
+240
+00:20:49,630 --> 00:20:54,530
+friction، فهي frictionless، ببساطة two blocks have
+
+241
+00:20:54,530 --> 00:20:56,670
+masses, frictionless
+
+242
+00:21:16,030 --> 00:21:22,990
+أي نقطة على الخيط فيها شدان متساويان، بعد ذلك بدي
+
+243
+00:21:22,990 --> 00:21:32,030
+أرسم الـ free-body diagram لـ M2، M2G لأسفل، في عندك T2
+
+244
+00:21:32,030 --> 00:21:37,270
+وفي كمان T2 بتأثر على البكرة، طب الحركة وين اتجاهها؟
+
+245
+00:21:37,270 --> 00:21:43,610
+هذا نازل لتحت بـ A، هذا بيتحرك بنفس الـ A، هذا بيدور
+
+246
+00:21:43,610 --> 00:21:51,070
+بِدوران، بدي أكون كم معادلة؟ ثلاث معادلات، معادلات
+
+247
+00:21:51,070 --> 00:21:54,630
+لجسم الأول، معادلات للجسم الثاني، ومعادلات للـ
+
+248
+00:21:54,630 --> 00:21:59,350
+البكرة، أجل البكرة، أول حاجة sum of torque بيساوي I في
+
+249
+00:21:59,350 --> 00:22:04,890
+الـ α، إذا I في α بتساوي كم قوة أثّرت عليها؟ قوتان
+
+250
+00:22:04,890 --> 00:22:11,810
+القوة في ذراعها، T1 في R، مع الدوران، خذ موجباً دائمًا،
+
+251
+00:22:11,810 --> 00:22:20,370
+عكس الدوران سالبًا، T2 لأسفل مع الدوران، T2 في الـ R
+
+252
+00:22:20,370 --> 00:22:27,990
+مع الدوران، T1 في الـ R هي الـ torque من القوة
+
+253
+00:22:27,990 --> 00:22:30,810
+الأولى، والـ torque من القوة الثانية، بدهم يساوي I
+
+254
+00:22:30,810 --> 00:22:35,250
+في α، وهذا معادلة رقم 1، ببدأ أجي للجسم اللي هو M1
+
+255
+00:22:35,250 --> 00:22:42,190
+فيه قوة واحدة T1، تساوي M في A، وهي معادلتها T1 تساوي
+
+256
+00:22:42,190 --> 00:22:45,470
+M في A، هدول الثلاث معادلات، أهم حاجة تكتبهم في
+
+257
+00:22:45,470 --> 00:22:48,690
+الجانب، ترسمهم في الـ free-body diagram، تكتب
+
+258
+00:22:48,690 --> 00:22:53,830
+المعادلات، رقم ثلاثة، في اتجاه أسفل مع الحركة، MG
+
+259
+00:22:53,830 --> 00:22:58,250
+إذا M في الـ A، M2 في الـ A، تساوي MG ناقص الـ T، وهي
+
+260
+00:22:58,250 --> 00:23:02,390
+المعادلة الثالثة، بحل 1 و 2 و 3، بنجمع المعادلات مع
+
+261
+00:23:02,390 --> 00:23:08,190
+بعض، هتلاقي إنتَ، إيش؟ بنجمع المعادلة اثنين واثنين و
+
+262
+00:23:08,190 --> 00:23:11,710
+ثلاثة مع بعض، هتلاقي بيطلع عندك T1 ناقص T2
+
+263
+00:23:11,710 --> 00:23:15,570
+ضربها في إشارة سالبة، بيطلع T2 ناقص T1
+
+264
+00:23:15,570 --> 00:23:21,150
+بتعوّض عنها، وبيطلع قيمة الـ a، إذا نجمع معادلات
+
+265
+00:23:21,150 --> 00:23:25,830
+اثنين وثلاثة، بتحلهم، وبيطلع قيمة الـ a، مع الأخذ
+
+266
+00:23:25,830 --> 00:23:30,730
+بالاعتبار كمان، ما أنسى أن الـ α بتعوّض عنها، آسف الـ
+
+267
+00:23:30,730 --> 00:23:37,260
+α بتعوّض عنها بقيمتها a على R،  و تطلع
+
+268
+00:23:37,260 --> 00:23:42,120
+قيمتها، ويجيب الـ R، هنا بس أحط إشارة سالبة، وأجمع
+
+269
+00:23:42,120 --> 00:23:48,680
+الثلاث مع بعضها، بتخلص من T1 وT2، بتجيب بعدها قيمة
+
+270
+00:23:48,680 --> 00:23:52,240
+الـ A، بتعوّض في أي معادلة بتجيب T1، بتعوّض في معادلة
+
+271
+00:23:52,240 --> 00:23:55,320
+ثانية بتجيب T2، هيك بيكون خلّصنا الـ torque والـ
+
+272
+00:23:55,320 --> 00:24:00,660
+torque وعلاقته مع القوة، وعلاقة الـ torque مع الـ
+
+273
+00:24:00,660 --> 00:24:05,860
+rotation، الآن إن شاء الله، بعد ذلك هنكمل اللي هو الـ
+
+274
+00:24:05,860 --> 00:24:09,080
+work and rotational motion، اللي هو ندخل الكينيتك الـ
+
+275
+00:24:09,080 --> 00:24:13,040
+energy في حساباتنا، زي ما دخلت الـ torque في حساباتنا
+
+276
+00:24:13,040 --> 00:24:17,100
+في قوانين نيوتن، المرة الجاية هندخل الـ work، الكينيتك
+
+277
+00:24:17,100 --> 00:24:20,680
+الـ energy، الكينيتك الـ rotational في حساباتنا، في حساب
+
+278
+00:24:20,680 --> 00:24:23,580
+الطاقة، إنه الـ E-initial بيساوي الـ E-final، أو الـ W
+
+279
+00:24:23,580 --> 00:24:25,900
+non conservative force بيساوي الـ E-final ناقص الـ E
+
+280
+00:24:25,900 --> 00:24:28,280
+-initial، يعطيكم العافية، وللمحاضرة الجاية إن شاء
+
+281
+00:24:28,280 --> 00:24:29,220
+الله، بنكمل
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/AjELtxxXa20_postprocess.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/AjELtxxXa20_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..4f0ba646cf6b7bdecd3f6635ccae0d90434ccac1
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/AjELtxxXa20_postprocess.srt
@@ -0,0 +1,1124 @@
+1
+00:00:05,110 --> 00:00:08,590
+بسم الله الرحمن الرحيم يا عطيكوا العافية اليوم ان
+
+2
+00:00:08,590 --> 00:00:12,270
+شاء الله بنكمل chapter عشرة او جزئية تانية في
+
+3
+00:00:12,270 --> 00:00:15,270
+chapter عشرة اللي هي ال torque ال torque اللي هو
+
+4
+00:00:15,270 --> 00:00:22,190
+العزم الداء العزم اللي لو انا فيه عند جسم بتحرك في
+
+5
+00:00:22,190 --> 00:00:29,950
+مسار دائرة بلف اخرت باب سحبتها حنفيت الميه كل هذه
+
+6
+00:00:29,950 --> 00:00:34,050
+بتأثر بقوة هذه القوة بتعمل عزم
+
+7
+00:00:36,820 --> 00:00:41,100
+طبعا هنا في محول للدورة فده هيبدأ يلف ماذا القوة
+
+8
+00:00:41,100 --> 00:00:46,980
+أثرت بدي أحسب ال torque اللي موجودة عند ال torque
+
+9
+00:00:46,980 --> 00:00:47,800
+بده حاجتين
+
+10
+00:00:54,490 --> 00:00:58,890
+طبعا هو حاصل ضرب الـR cross الـF R vector
+
+11
+00:00:58,890 --> 00:01:04,050
+displacement و الـF هو ال force ال torque بطلع ال
+
+12
+00:01:04,050 --> 00:01:09,450
+vector طب vector حاصل ضرب to vector خلناها شبط
+
+13
+00:01:09,450 --> 00:01:16,770
+رواحة بطلع عند vector بيكون عمودي على مين؟ ال
+
+14
+00:01:16,770 --> 00:01:20,490
+vector ال torque عمودي على ال A و عمودي على مين؟
+
+15
+00:01:20,490 --> 00:01:27,630
+على ال F يعني هنا هي ال Fوهي ال A ال torque وين؟
+
+16
+00:01:27,630 --> 00:01:33,070
+هو عبارة عن محور الدوران يعني بجيبك محور الدوران
+
+17
+00:01:33,070 --> 00:01:38,910
+بطبق قاعدة اليد اليمنى ال R وين؟ هيها و القفلة
+
+18
+00:01:38,910 --> 00:01:44,510
+وين؟ لفوق اذا ال torque وين اتجاهه؟ عليه طيب لو
+
+19
+00:01:44,510 --> 00:01:51,330
+قلت انه طلع في الاتجاه الموجب I موجب I ايش معناته؟
+
+20
+00:01:51,330 --> 00:01:57,830
+الدوراندوران مع عقارب الساعة أو عكس عقارب الساعة
+
+21
+00:01:57,830 --> 00:02:02,370
+مع عقارب الساعة إشارة معلها سالبة وعكس عقارب
+
+22
+00:02:02,370 --> 00:02:06,250
+الساعة إشارة موجبة إذا ممكن يطلع ال torque عند
+
+23
+00:02:06,250 --> 00:02:11,450
+قيمته موجبة وممكن يطلع قيمته سالبة وهذا متجه بيحدد
+
+24
+00:02:11,450 --> 00:02:15,950
+اتجاه محور الدوران وهل هو مع عقارب الساعة أو عكس
+
+25
+00:02:15,950 --> 00:02:23,400
+عقارب الساعة إذا ال rotation عندك بتكون موجبةعكس
+
+26
+00:02:23,400 --> 00:02:29,280
+عقارب الساعة و سالبة تكون مع عقارب الساعة و من
+
+27
+00:02:29,280 --> 00:02:34,340
+خلال الضرب بجيب محور الدوران لو قلت سالب ا طلعت ال
+
+28
+00:02:34,340 --> 00:02:39,560
+torque سالب ايه ايش معناته اشارة السالبة معناته
+
+29
+00:02:39,560 --> 00:02:45,690
+محور الدوران هي في اتجاه ال Xو لكن هو بتطل .. بتطل
+
+30
+00:02:45,690 --> 00:02:51,250
+عليه الدوران ماله مع عقارب الساعة بيدور زي هيك لو
+
+31
+00:02:51,250 --> 00:02:55,770
+كانت موجبة فهي محور الدوران و بيدور عكس عقارب
+
+32
+00:02:55,770 --> 00:03:00,890
+الساعة اذا انا بحدد محور الدوران مع عقارب الساعة
+
+33
+00:03:00,890 --> 00:03:06,950
+او عكس عقارب الساعة طب لو كان عندي جسم بلزم حاجتين
+
+34
+00:03:06,950 --> 00:03:12,370
+ممكن مر عليكم قبل ذلك R cross ال torque سواء R
+
+35
+00:03:12,370 --> 00:03:18,370
+cross الوهذا بيساوي ال torque كقيمته تساوي R في F
+
+36
+00:03:18,370 --> 00:03:24,510
+في صيني الزاوية بين ال theta بين ال F و بين ال R و
+
+37
+00:03:24,510 --> 00:03:28,510
+ال torque R و صيني ال theta هي عبارة عن البعد
+
+38
+00:03:28,510 --> 00:03:33,910
+العمودي إذا بقدر أقول F في R العمودية إذا الزاوية
+
+39
+00:03:33,910 --> 00:03:37,910
+عمودية هي ال R العمودية طب لو كانت عنده هي ال
+
+40
+00:03:37,910 --> 00:03:44,190
+torque هي ال road اللي بيكون موجود عنده طوله 1000
+
+41
+00:03:44,540 --> 00:03:52,880
+أثرت عليه قوة زي هيك هذه ال F وهذه ال A بد الزاوية
+
+42
+00:03:52,880 --> 00:03:59,980
+اللي بينهم هذه الزاوية اللي بينهم اذا F في A في
+
+43
+00:03:59,980 --> 00:04:05,000
+إيش في Sin الزاوية اللي بين الاتنين طيب لو أنا
+
+44
+00:04:05,000 --> 00:04:10,760
+أخدت نقطة تانية هاي ال R هنا هل هتختلف القيمة؟ اذا
+
+45
+00:04:10,760 --> 00:04:17,680
+ال Rهو نقطة الدوران و أي نقطة واجهة على خط عمل
+
+46
+00:04:17,680 --> 00:04:22,580
+القوة هذه هي الـ A الزاوية اللي بينهم أيها فتيت
+
+47
+00:04:22,580 --> 00:04:30,060
+اتنين طب لو اسقطت عمود هنا R العمودية ايش بتمثل؟ R
+
+48
+00:04:30,060 --> 00:04:33,300
+sin الزاوية اي واحد فيهم R sin الزاوية هي الـR
+
+49
+00:04:33,300 --> 00:04:38,440
+العمودية في مين؟ في الـF المعطين الـtorque لذا
+
+50
+00:04:38,440 --> 00:04:46,490
+الـtorque قيمتهيا بجيب R و R هو نقطة الدوران و أي
+
+51
+00:04:46,490 --> 00:04:50,950
+نقطة واقع على خط عمل القوة هذه الـ R و الزاوية
+
+52
+00:04:50,950 --> 00:04:55,350
+اللي بينهم بقدر احددها صين الزاوية او بجيب البعد
+
+53
+00:04:55,350 --> 00:05:00,850
+العمودي R في ذراع القوة بعطيني ال F في ذراع القوة
+
+54
+00:05:00,850 --> 00:05:06,690
+بعطيني ال torque نجي ناخد مثال بيقول في عنده wheel
+
+55
+00:05:06,690 --> 00:05:12,960
+او عجلة أثرت عليها قوة قيمتها عشرة نيوتمبدي أحسب
+
+56
+00:05:12,960 --> 00:05:18,140
+الـ torque اللي ناشئ على هذه الـ wheel على هذه
+
+57
+00:05:18,140 --> 00:05:22,400
+العجل طبعا هذه المسافة من هنا إلى هنا هي نص متر
+
+58
+00:05:22,400 --> 00:05:25,900
+أول
+
+59
+00:05:25,900 --> 00:05:30,320
+حاجة هذه القوة اللي أثرت فيها يا بمدتها باجهتين
+
+60
+00:05:30,320 --> 00:05:36,960
+فنسقط عمود من هذه النقطة هذه R العموديةإذا قدرت
+
+61
+00:05:36,960 --> 00:05:40,840
+تحسب الـR العمودي خلاص القوة في ضلعها مع عقارب
+
+62
+00:05:40,840 --> 00:05:44,260
+الساعة ولا عكس عقارب الساعة هذه نقطة الدوران القوة
+
+63
+00:05:44,260 --> 00:05:47,040
+هذه لما أزوجها زي هيك وإن بده يدور بيدور بهذا
+
+64
+00:05:47,040 --> 00:05:52,860
+الشكل هذا الشكل عكس عقارب الساعة إذا هيطلع عكس
+
+65
+00:05:52,860 --> 00:05:58,440
+معناتها قيمته موجبة قيمته موجبة واتجاههم بهذا
+
+66
+00:05:58,440 --> 00:06:04,890
+الاتجاه إذا ال torque بيساوي Rالـ Torque بيساوي R
+
+67
+00:06:04,890 --> 00:06:09,470
+في صين الزاوية لو أنا حسبتها بطريقة تانية الزاوية
+
+68
+00:06:09,470 --> 00:06:15,710
+هذه تطلع تلاتين اذا عشرة في النص متر في صين
+
+69
+00:06:15,710 --> 00:06:21,390
+التلاتين بتعطيني اللي هي قيمة ال Torque اذا ال
+
+70
+00:06:21,390 --> 00:06:27,970
+Torque بيساوي R cross ال F و بيساوي R في Fفى صواين
+
+71
+00:06:27,970 --> 00:06:31,930
+الزاوية اللى بينهم الزاوية اللى بينهم بقدر احددها
+
+72
+00:06:31,930 --> 00:06:36,970
+هذه كلها ستين اذا هذه تلاتين وهذه تلاتين اذا بقول
+
+73
+00:06:36,970 --> 00:06:43,410
+R فى F فى صواين التلاتين كله موجود عنده ال R نص
+
+74
+00:06:43,410 --> 00:06:48,290
+متر F اعطاني قيمتها عشر نيوتن فى صواين التلاتين
+
+75
+00:06:48,290 --> 00:06:52,610
+بطلع قيمتها ممكن احددها بطريقة تانية R العمودية
+
+76
+00:06:52,610 --> 00:06:59,000
+بتساوي مثل القائم الزاويةمثل القائم الزاوية هذا
+
+77
+00:06:59,000 --> 00:07:02,920
+الوطن قيمته
+
+78
+00:07:02,920 --> 00:07:11,180
+بالساوية نص صين الزاوية نص
+
+79
+00:07:11,180 --> 00:07:12,860
+صين الزاوية تلاتين نص صين التلاتين هذه الزاوية
+
+80
+00:07:12,860 --> 00:07:18,140
+تلاتين نص صين التلاتين بقدر اطلع قيمتها او اعوض
+
+81
+00:07:18,140 --> 00:07:21,600
+عنها نص صين التلاتين هذه نص صين التلاتين في القوة
+
+82
+00:07:21,600 --> 00:07:24,760
+بعطينا اتنين و نص اشارتها موجبة
+
+83
+00:07:30,040 --> 00:07:38,280
+إشارتها هتكون موجبة وليست سالبة يعني معناتها
+
+84
+00:07:38,280 --> 00:07:46,460
+بالنور مع قارب الساعة نكمل
+
+85
+00:07:46,460 --> 00:07:51,600
+فى
+
+86
+00:07:51,600 --> 00:07:57,380
+عندى road أثرت عليه مجموعة من القوة مثال رقم عشر
+
+87
+00:07:57,380 --> 00:08:03,120
+وخمسة road طوله اتنين متروزنه او كتلته خمسة نيوتن
+
+88
+00:08:03,120 --> 00:08:09,700
+اثرت عليه قوتين القوة كما في الشكل القوة اللي
+
+89
+00:08:09,700 --> 00:08:14,660
+بتحسب ال total torque جدّي توتر جدّي شقومتر اول
+
+90
+00:08:14,660 --> 00:08:20,900
+حاجة في عندك اربعين متر تجاه الأسفل في وزنه خمسة
+
+91
+00:08:20,900 --> 00:08:25,300
+نيوتنالـ weight له خمسة نيوتن هي قوة وفي قوة
+
+92
+00:08:25,300 --> 00:08:29,740
+قيمتها عشر نيوتن أثرت بزاوية تلاتين كيف بدي أحسب
+
+93
+00:08:29,740 --> 00:08:33,520
+ال torque ال torque بدي أحسبه من تلات قوة بدي أقول
+
+94
+00:08:33,520 --> 00:08:35,680
+ال torque الناشر من القوة الأولى زي ال torque
+
+95
+00:08:35,680 --> 00:08:37,820
+الناشر من القوة التانية زي ال torque الناشر من
+
+96
+00:08:37,820 --> 00:08:41,080
+القوة التالتة ومين موجب مع قرب الساعة ومين موجب
+
+97
+00:08:41,080 --> 00:08:44,300
+عكس قرب الساعة ومين سالب مع قرب الساعة زي ان ال
+
+98
+00:08:44,300 --> 00:08:49,320
+torque بيسوء ال torque من القوة أربعين زي ال
+
+99
+00:08:49,320 --> 00:08:56,260
+torque من القوة خمسةزاد ال torque من القوة عشر ال
+
+100
+00:08:56,260 --> 00:08:59,840
+torque من القوة العشرة سهل أجيبه ال torque من
+
+101
+00:08:59,840 --> 00:09:04,160
+الأربعين في البعد العمودي له قيمته نص متر اذا ال
+
+102
+00:09:04,160 --> 00:09:10,120
+torque من الأربعين بيساوي القوة في ذراعها اربعين
+
+103
+00:09:10,120 --> 00:09:15,640
+ضارب نص وين بتحرك؟ موجب ولا سالب؟
+
+104
+00:09:18,650 --> 00:09:23,250
+تجاه الدوران مع عقارب الساعة هذا سالب نجي للقوة
+
+105
+00:09:23,250 --> 00:09:26,370
+التانية هذه محور الدوران القوة التانية الخامسة
+
+106
+00:09:26,370 --> 00:09:31,350
+تنتجها لأسفل دوران زي هيكا دورانها كمان بالسالب مع
+
+107
+00:09:31,350 --> 00:09:36,290
+عقارب الساعة هذه القوة الأخيرة تنسحب لفوق دورانها
+
+108
+00:09:36,290 --> 00:09:42,690
+زي هيكا دورانها عكس عقارب الساعة بالموجة في عند
+
+109
+00:09:42,690 --> 00:09:48,380
+قوتين سالب سالبمع قرب الساعة والقوة الأخيرة
+
+110
+00:09:48,380 --> 00:09:54,000
+بالموجة ال torque من الأربعين طلعت معايا سالب ليش
+
+111
+00:09:54,000 --> 00:09:58,780
+سالب لأنها قلنا اتفقنا من البداية مع قرب الساعة
+
+112
+00:09:58,780 --> 00:10:04,440
+اذا اربعين في نص بطلع عنده اربعين في نص بطلع عنده
+
+113
+00:10:04,440 --> 00:10:13,260
+قيمتها سالب عشرين نيوتر متر ال
+
+114
+00:10:13,260 --> 00:10:18,840
+torque من الخمسةتساوي خمسة في ذراعها بشرة سالفة
+
+115
+00:10:18,840 --> 00:10:22,480
+خمسة في ذراعها واحد متر في واحد بطلع عند قيمتها
+
+116
+00:10:22,480 --> 00:10:27,800
+سالف خمسة نيوتن متر ال torque من العشرة نيوتن ممكن
+
+117
+00:10:27,800 --> 00:10:31,760
+احيلها مباشرة من العشرة ويقول هي عبارة هدأ مده على
+
+118
+00:10:31,760 --> 00:10:36,440
+استقامته او يجيب ال R في ال R هيها وهي ال F
+
+119
+00:10:36,440 --> 00:10:39,660
+الزاوية بينهم تلاتين ال torque من العشرة بيساوي
+
+120
+00:10:39,660 --> 00:10:49,510
+عشرة في اتنين متر في صينالـ 30 او اجسمها جسميا
+
+121
+00:10:49,510 --> 00:10:54,590
+عملها قوتين واحد في اتجاه ال X واحد في اتجاه ال Y
+
+122
+00:10:54,590 --> 00:11:02,030
+لو الفئل في اتجاه ال X ايش رايكوا فيها ال torque
+
+123
+00:11:02,030 --> 00:11:06,570
+لها ال torque لها بساوة Zero يعني يا بجيبها بعد
+
+124
+00:11:06,570 --> 00:11:10,250
+الطريقة تطلع قيمتها بالموجة يا بجيبها من الطريقة
+
+125
+00:11:10,250 --> 00:11:14,820
+التانية ال torque من عشرة cosine التلاتينو ال
+
+126
+00:11:14,820 --> 00:11:19,320
+torque من عشرة cosine التلاتين بيقسمها جسمين يعني
+
+127
+00:11:19,320 --> 00:11:22,100
+هذا ممكن احلها زي هيك او يجمعهم مع بعض التلاتة و
+
+128
+00:11:22,100 --> 00:11:26,340
+خلصنا منهم او ممكن اقسمهم جسمين ال torque من عشرة
+
+129
+00:11:26,340 --> 00:11:31,160
+cosine التلاتين من تحليل القوة تمر بمين بنقطة
+
+130
+00:11:31,160 --> 00:11:35,100
+الدوران is then zero هذا ال road و انا بدي اثر
+
+131
+00:11:35,100 --> 00:11:39,240
+عليه القوة بهذا الشكل هذا اللي بتعمله دوران لأ مين
+
+132
+00:11:39,240 --> 00:11:43,140
+القوة اللي بتعمله دورانإذا كانت بتأثر بزاوية أو
+
+133
+00:11:43,140 --> 00:11:46,720
+بتأثر مباشرة بزاوية تسعين درجة هي ال maximum لذا
+
+134
+00:11:46,720 --> 00:11:51,100
+في هذه الحالة اللي بتلزمني تي صين التلاتين جديش
+
+135
+00:11:51,100 --> 00:11:56,180
+ذراعها ذراعها اتنين متر لذا بقدر اقول تي صين
+
+136
+00:11:56,180 --> 00:12:03,420
+التلاتين او عشرة for صين التلاتين مضروبة في اتنين
+
+137
+00:12:03,420 --> 00:12:08,140
+وهذه قيمتها بستوي zeroلذن كأن القوة عندى انا صارت
+
+138
+00:12:08,140 --> 00:12:12,780
+اربع قوة اربعين وخمسة وعشرة كساين التلاتين وعشرة
+
+139
+00:12:12,780 --> 00:12:16,200
+كساين التلاتين عشرة كساين التلاتين التغل لأنها تمر
+
+140
+00:12:16,200 --> 00:12:22,120
+بنقطة الدوران بضل عند عشرة كساين التلاتين عشرة في
+
+141
+00:12:22,120 --> 00:12:24,520
+اتنين كساين التلاتين انا جبتها من البداية عشرة في
+
+142
+00:12:24,520 --> 00:12:27,540
+اتنين كساين التلاتين واشارتها بالموجة ليش اشارتها
+
+143
+00:12:27,540 --> 00:12:33,340
+بالموجة دورانها لوين الا اعلىبجمعهم مع بعض بطلع
+
+144
+00:12:33,340 --> 00:12:37,280
+جداش قيمتهم لما جمعهم سالب خمساش الإشارة السالبة
+
+145
+00:12:37,280 --> 00:12:41,380
+بتبين على وين الدوران هل هو مع عقارب الساعة ولا
+
+146
+00:12:41,380 --> 00:12:49,360
+عكس عقارب الساعة إذا بنطلع مع عقارب الساعة نجي
+
+147
+00:12:49,360 --> 00:12:52,320
+نتكلم عن علاقة ال torque بال angular acceleration
+
+148
+00:13:14,630 --> 00:13:17,210
+الـ Torque له علاقة بالـ Angular Acceleration أول
+
+149
+00:13:17,210 --> 00:13:21,350
+حاجة الـ Torque دي اسم ايش بيساوي R في D تيتا عنده
+
+150
+00:13:21,350 --> 00:13:26,110
+ال Torque بيساوي القوة ال F tangential في ال R ليش
+
+151
+00:13:26,110 --> 00:13:29,210
+أخدت ال F tangential لأنه بدأ اعتبر ذراعي القوة
+
+152
+00:13:29,210 --> 00:13:33,380
+عندهالـ R العمودية إذا كأنه نصف القطر هي الـ R
+
+153
+00:13:33,380 --> 00:13:37,640
+العمودية الـ F تانجينشا ليش بالساوية الـ M في الـ
+
+154
+00:13:37,640 --> 00:13:40,620
+A center of mass ليش ماخدتش ال radial؟ ال radial
+
+155
+00:13:40,620 --> 00:13:43,960
+لإنها بتعملش دوران ال radial بتمر بنقطة مية
+
+156
+00:13:43,960 --> 00:13:47,780
+بالمركز يعني أي جسم مين اللي بتعمله دوران؟
+
+157
+00:13:47,780 --> 00:13:50,940
+التانجينشا لكن المركزية بتعمل دوران؟ لأ بضلها
+
+158
+00:13:50,940 --> 00:13:57,110
+محافظة على مين؟ على اللي هو البعد اللي هو الـ Rالـ
+
+159
+00:13:57,110 --> 00:13:59,730
+F tangential بيسوي الـ A في الـ M center of mass
+
+160
+00:13:59,730 --> 00:14:03,610
+التانجينشال والـ M في الـ A center of mass الـ
+
+161
+00:14:03,610 --> 00:14:09,370
+Summation للـ M كأن أجزاء عند كل واحد إلها R1 R2
+
+162
+00:14:09,370 --> 00:14:13,350
+R3 بتعمل summation للكل حتى تجيب الكتلة الكلية،
+
+163
+00:14:13,350 --> 00:14:16,030
+إذا في هذا الحال كأن الـ M في الـ A center of mass
+
+164
+00:14:16,030 --> 00:14:21,130
+هيالصممشن ع ال I بيسوي 1 لل N م I في A tangential
+
+165
+00:14:21,130 --> 00:14:26,470
+لكل جسم موجود عنده طبعا انا بعرف الصممشن هو ايش
+
+166
+00:14:26,470 --> 00:14:30,150
+عبارة عن تكامل اذا كده لو انا عندى فيه اندي اي جسم
+
+167
+00:14:30,150 --> 00:14:32,890
+و ده وجهة المساحة تحت المنحنة بجطعه لعيساق بسيطة
+
+168
+00:14:32,890 --> 00:14:35,950
+جدا و بعمل تكامل X initial ل X final هذه نفس
+
+169
+00:14:35,950 --> 00:14:41,090
+الأشياء عبارة عن تكامل لل A tangential لكل جسم في
+
+170
+00:14:41,090 --> 00:14:44,210
+ال DM طبعا ال torque الآن بعد التعويض عن ال F
+
+171
+00:14:44,210 --> 00:14:50,990
+tangential و ال R بيطلع R في Aتانجينشيل في ال DM
+
+172
+00:14:50,990 --> 00:14:56,390
+مانساش ان ال A tangential بيساوي R في Alpha وال A
+
+173
+00:14:56,390 --> 00:15:00,990
+Radial بتنزمنيش ال A tangential R في Alpha لكن ال
+
+174
+00:15:00,990 --> 00:15:06,050
+A Radial نذكرها بيساوي R في Omega Square إجراء
+
+175
+00:15:06,050 --> 00:15:11,620
+التكاملالـ torque بالساوية الـ α كونستان بيطلع برا
+
+176
+00:15:11,620 --> 00:15:16,100
+التكامل بيصير R تربيع DM لأن الـ α كونستان أخدناها
+
+177
+00:15:16,100 --> 00:15:23,000
+لما قولنا أي رود بتحرك بزاوية Omega 1 بيساوي Omega
+
+178
+00:15:23,000 --> 00:15:27,290
+2 بيساوي Omega 3هو Alpha 1 يساوي Alpha 2 يساوي
+
+179
+00:15:27,290 --> 00:15:31,750
+Alpha 3 لكن ايش اللي بتغير V1 لا يساوي V2 لأن V1
+
+180
+00:15:31,750 --> 00:15:36,730
+يساوي R في Omega و ال R مختلفة لكن ال Omega نفسها
+
+181
+00:15:36,730 --> 00:15:41,970
+لأن الجسم اللي هنا بيقطع نفس الزاوية في نفس
+
+182
+00:15:41,970 --> 00:15:45,450
+الزمان، لذا Omega مالها ثابتة إذا ال summation لل
+
+183
+00:15:45,450 --> 00:15:49,750
+torque إيش بيعطيني I في Alpha إذا ال torque صار
+
+184
+00:15:49,750 --> 00:15:56,730
+بيساوي I في Alpha هذا لل rotationوال torque بده
+
+185
+00:15:56,730 --> 00:16:05,690
+يساوي ال R cross ال F او ال F في ال R العموديين او
+
+186
+00:16:05,690 --> 00:16:08,750
+في الذراع الكبير لذا الان ال torque يصل لقانونين
+
+187
+00:16:08,750 --> 00:16:12,650
+بمعنى ذلك انه لما اتكلم عن الدوران بدي اجيب ال I و
+
+188
+00:16:12,650 --> 00:16:16,250
+بعد هيك و احسب ال alpha فقدر اطلع منها ال torque
+
+189
+00:16:16,250 --> 00:16:21,030
+لذا هذه معادلة بتلزم نهياللي انا هضيفه من ضمن
+
+190
+00:16:21,030 --> 00:16:23,770
+المعادلات اللي هو تبعات النيوتن اللي كان عنده
+
+191
+00:16:23,770 --> 00:16:27,830
+summation لل force سواء في ايه ال summation لل
+
+192
+00:16:27,830 --> 00:16:32,650
+force ال summation لل torque الان بيساوي I في
+
+193
+00:16:32,650 --> 00:16:37,250
+Alpha لذا في عندي summation لل force سواء في ايه و
+
+194
+00:16:37,250 --> 00:16:40,770
+summation لل torque جسم بيدور بيساوي I في Alpha ال
+
+195
+00:16:40,770 --> 00:16:43,330
+background قبل ذلك ماكناش ناخد حسابها اليوم بدي
+
+196
+00:16:43,330 --> 00:16:48,270
+اخد حساب لها ناخد مثال على هالكلام بيقول في عندي
+
+197
+00:16:50,520 --> 00:16:56,540
+عجلة بدور مربوطة فيها خيط و فيها ثقة و بدور في
+
+198
+00:16:56,540 --> 00:17:03,220
+مسار ماله ملفوف هذا الخيط بدور في مسار دائره بدي
+
+199
+00:17:03,220 --> 00:17:06,600
+اوجد اللي هي ال acceleration ال angular
+
+200
+00:17:06,600 --> 00:17:09,820
+acceleration و ال acceleration ال calculate ده
+
+201
+00:17:09,820 --> 00:17:15,360
+linear acceleration و ده angular acceleration و ال
+
+202
+00:17:15,360 --> 00:17:19,560
+tension في هذا الخيط اذا في عندك كتلة هنا وزلها
+
+203
+00:17:19,560 --> 00:17:26,040
+لوين؟المعلقة فيها MG T لأعلى إلى أعلى انا كنت
+
+204
+00:17:26,040 --> 00:17:30,960
+دائما ادرس هذا الجسم بس ال acceleration لأسفل
+
+205
+00:17:30,960 --> 00:17:34,860
+قانين نيوتن لكن اليوم في عندي حاجة بتدور بتدخلولها
+
+206
+00:17:34,860 --> 00:17:37,780
+قيمة بيصير لها rotation بيصير لها kinetic energy
+
+207
+00:17:37,780 --> 00:17:41,700
+بيصير لها torque بتدخلها داخل الحسابات ويقول ال
+
+208
+00:17:41,700 --> 00:17:46,140
+summation لل torque بتسوء I في Alpha لذا في عندي
+
+209
+00:17:46,140 --> 00:17:49,860
+rotation هنا هذا ال rotation اللي هو لها Alpha
+
+210
+00:17:59,190 --> 00:18:04,290
+معادلة أولى لجسم الأول ومعادلة أولى لجسم الثاني
+
+211
+00:18:04,290 --> 00:18:09,590
+لجسم الثاني المعادلة الأولى لجسم الأول مجي لتحت
+
+212
+00:18:09,590 --> 00:18:12,730
+ناقص T بيساوي M في A
+
+213
+00:18:16,940 --> 00:18:22,080
+مج مع الحركة ناقص T هذه معادلة رقم واحد و بعدين ال
+
+214
+00:18:22,080 --> 00:18:25,760
+summation لل torque بيسوي I في Alpha إذا ال torque
+
+215
+00:18:25,760 --> 00:18:30,420
+بيسوي I في Alpha إيش ال torque عندك القوة هي القوة
+
+216
+00:18:30,420 --> 00:18:39,020
+عبارة عن شد هنا ذراعها عبارة عن نصف القطر إذا
+
+217
+00:18:39,020 --> 00:18:44,800
+عند القوة اللي أثرت T في ذراع القوةاللي هي الـ R
+
+218
+00:18:44,800 --> 00:18:49,480
+هذا كأنه مماثلها لذا الـ R هو نصف القطر T في الـ R
+
+219
+00:18:49,480 --> 00:18:52,700
+بيساوي I في Alpha هذا معادلة تانية هذه معادلة أولى
+
+220
+00:18:52,700 --> 00:18:58,460
+لل top و معادلة تانية لأنا بس بدي أبسطها T في R
+
+221
+00:18:58,460 --> 00:19:07,440
+سوى I في Alpha الـ Alpha إيش بتساوي A على R لذا
+
+222
+00:19:07,440 --> 00:19:17,530
+كأنه بيساوي عند معادلة تانية TT في R2 او T بتساوي
+
+223
+00:19:17,530 --> 00:19:27,330
+I في A على R2 بتعويض عن قيمة T هنا وانجلها على
+
+224
+00:19:27,330 --> 00:19:36,670
+الطرف التاني بيصير عند MG ناقص I في A على R2
+
+225
+00:19:36,670 --> 00:19:42,300
+بتساوي M في Aانجل هذا على الطرف التاني واخد ال a
+
+226
+00:19:42,300 --> 00:19:47,900
+عامل واشتراه بطل يا قيمة ال a لكن اذا اعطاني ال I
+
+227
+00:19:47,900 --> 00:19:51,220
+كان بيها ماعطانيش ال I للبكره معروف ال I للبكره من
+
+228
+00:19:51,220 --> 00:20:00,970
+الجدول ال I للبكره بتساوي نص MR تربيهأو للعجلة أو
+
+229
+00:20:00,970 --> 00:20:05,350
+لأي صوانة بالدول نص عمق أرض عربية لذا لها I من
+
+230
+00:20:05,350 --> 00:20:09,250
+خلال المعادل 1 و 2 بطلق قيمة ال acceleration و بعد
+
+231
+00:20:09,250 --> 00:20:12,270
+ما أطلق قيمة ال acceleration بقدر أطلق قيمة الشد
+
+232
+00:20:12,270 --> 00:20:18,590
+ناخد مثال تاني على هالكلام بقول في عند جسمين
+
+233
+00:20:18,590 --> 00:20:23,450
+مربوطين بحبل و بينهم بكرة البكرة ماكنتش أخد إليها
+
+234
+00:20:23,450 --> 00:20:26,850
+اعتبار اليوم بدي أخد إليها اعتبار البكرة عبارة عن
+
+235
+00:20:26,850 --> 00:20:33,790
+إيش؟عبارة عن قوتين بيأثر عليها لأن درسه من ال free
+
+236
+00:20:33,790 --> 00:20:38,150
+body diagram لجسم الأول ال free body diagram لجسم
+
+237
+00:20:38,150 --> 00:20:41,770
+التاني و ال free body diagram لمن للبكره اول حاجة
+
+238
+00:20:41,770 --> 00:20:46,590
+لجسم الأول موازنه لأسفل او واحد في الجهة فيه
+
+239
+00:20:46,590 --> 00:20:49,630
+normal force هنا لو في friction ده شوف هل في
+
+240
+00:20:49,630 --> 00:20:54,530
+friction فهي frictionless بساطة two blocks have
+
+241
+00:20:54,530 --> 00:20:56,670
+masses frictionless
+
+242
+00:21:16,030 --> 00:21:22,990
+أي نقطة على الخيط فيها شدين متساويةبعد ذلك بدي
+
+243
+00:21:22,990 --> 00:21:32,030
+أرسم ال pre-body diagram ل M2 M2G لأسفل في عندك T2
+
+244
+00:21:32,030 --> 00:21:37,270
+وفي كمان T2 بتأثر على البطل طب الحركة وين اتجاهها
+
+245
+00:21:37,270 --> 00:21:43,610
+هذا نازل لتحت ب A هذا بتحرك بنفس ال A هذا بيدور
+
+246
+00:21:43,610 --> 00:21:51,070
+بقلبكبدي اكون كام معادلة تلات معادلات معادلات
+
+247
+00:21:51,070 --> 00:21:54,630
+للجسم الأول معادلات للجسم التاني و معادلات للبرج
+
+248
+00:21:54,630 --> 00:21:59,350
+للبكر اجل البكر اول حاجة sum of torque بيساوي I في
+
+249
+00:21:59,350 --> 00:22:04,890
+الفة اذا I في الفة بتساوي كم قوة اثرت عليها قوتين
+
+250
+00:22:04,890 --> 00:22:11,810
+القوة في ذراعها T1 في R مع الدوران خد موجة دايما
+
+251
+00:22:11,810 --> 00:22:20,370
+عكس الدوران السالقT2 لأسفل مع الدوران T2 في الـ R
+
+252
+00:22:20,370 --> 00:22:27,990
+عكس الدوران T1 في الـ R هي ال torque من القوة
+
+253
+00:22:27,990 --> 00:22:30,810
+الأولى و ال torque من القوة التانية بدوا يساوي I
+
+254
+00:22:30,810 --> 00:22:35,250
+فالفة وهذا معادل الرقم 1بدا يجي للجسم اللي هو M1
+
+255
+00:22:35,250 --> 00:22:42,190
+فش قوة واحدة T1 سواء M في A وهي معادلتها T1 بسواء
+
+256
+00:22:42,190 --> 00:22:45,470
+M في A هدول التلات معادلات أهم حاجة تكتبهم في
+
+257
+00:22:45,470 --> 00:22:48,690
+الجانب التبدالي ترسوهم في ريب الدياجرام تكتب
+
+258
+00:22:48,690 --> 00:22:53,830
+المعادلات رقم تلاتة في اندلاع أسفل مع الحركة MG
+
+259
+00:22:53,830 --> 00:22:58,250
+اذا M في ال A M2 في ال M سواء MG ناقص ال T وهي
+
+260
+00:22:58,250 --> 00:23:02,390
+المعادلة التالتة بحل 1 و 2 و 3 بيجمع المعادلات مع
+
+261
+00:23:02,390 --> 00:23:08,190
+بعضهتلاقي إنتك إياشبجمع المعادلة اتنين و اتنين و
+
+262
+00:23:08,190 --> 00:23:11,710
+تلاتة مع بعض هتلاقي بيطلع عندك ت واحد ناقص ت اتنين
+
+263
+00:23:11,710 --> 00:23:15,570
+اضغط في إشارة سالبة بيطلع ت اتنين ناقص ت واحد
+
+264
+00:23:15,570 --> 00:23:21,150
+بتعوض عنها و بيطلع قيمة ال a إذا نجمع معادلات
+
+265
+00:23:21,150 --> 00:23:25,830
+اتنين و تلاتة بتحلهم و بيطلع قيمة ال a مع الأخذ
+
+266
+00:23:25,830 --> 00:23:30,730
+بالاعتبار كمان ماأنساش ان ال a بيضعوض عنها اسف ال
+
+267
+00:23:30,730 --> 00:23:37,260
+alpha بيضعوض عنها بقيمتها a على aA على A واطلع
+
+268
+00:23:37,260 --> 00:23:42,120
+قيمتها ويجيب ال R هنا بس أحط إشارة سالبة ويجمع
+
+269
+00:23:42,120 --> 00:23:48,680
+التلات مع بعضها بتخلص من T1 وT2 بتجيب بعدها كقيمة
+
+270
+00:23:48,680 --> 00:23:52,240
+ال A بتعود في أي معدلة بتجيب T1 بتعود في معدلة
+
+271
+00:23:52,240 --> 00:23:55,320
+تانية بتجيب T2 هيكم يكون خلصنا ال torque و ال
+
+272
+00:23:55,320 --> 00:24:00,660
+torque و علاقته مع القوة و علاقة ال torque مع ال
+
+273
+00:24:00,660 --> 00:24:05,860
+rotation الآن ان شاء الله بعد ذلك هنكملاللي هو ال
+
+274
+00:24:05,860 --> 00:24:09,080
+work and rotation motion اللي هو ندخل الكينات ال
+
+275
+00:24:09,080 --> 00:24:13,040
+energy في حساباتي زي ما دخلت ال torque في حساباتي
+
+276
+00:24:13,040 --> 00:24:17,100
+في قوانين نيوتن المرة الجاية هندخل ال work الكينات
+
+277
+00:24:17,100 --> 00:24:20,680
+ال energy الكينات ال rotation في حساباتي في حساب
+
+278
+00:24:20,680 --> 00:24:23,580
+الطاقة انه ال E-initial بيستوى ال E-final او ال W
+
+279
+00:24:23,580 --> 00:24:25,900
+non conservative force بيستوى ال E-final ناقص ال E
+
+280
+00:24:25,900 --> 00:24:28,280
+-initial يعطيكوا العافية ولمحاضرة الجاية ان شاء
+
+281
+00:24:28,280 --> 00:24:29,220
+الله بنكمل
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/F-XMGzGwibs.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/F-XMGzGwibs.srt
new file mode 100644
index 0000000000000000000000000000000000000000..2f2f2781e2cd1902a848fd5d02f425f70cce126a
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/F-XMGzGwibs.srt
@@ -0,0 +1,989 @@
+1
+00:00:05,150 --> 00:00:09,730
+طيب الآن أنا قُلت I و J و K، طيب لو حطيت سالب I
+
+2
+00:00:09,730 --> 00:00:16,630
+حطيت إشارة سالب، إيش بده يصير؟ فقط بعكس الاتجاه،
+
+3
+00:00:16,630 --> 00:00:22,290
+يعني بدل ما هذا اتجاهه لـ right بيصير إيش؟ اتجاهه
+
+4
+00:00:22,290 --> 00:00:27,640
+لـ left، إذن هنا سالب I، لا فوق هنا بيكون إيش؟
+
+5
+00:00:27,640 --> 00:00:33,520
+سالب K، هنا K للداخل هو سالب K، ده بالملاحظة أحيانًا
+
+6
+00:00:33,520 --> 00:00:39,820
+لما يكون متمثل متجه، حطيته نقطة على شكل نقطة صغيرة
+
+7
+00:00:39,820 --> 00:00:45,960
+اتجاهه لإيش؟ للخارج، اتجاه الـ K لو حطيته cross هذا
+
+8
+00:00:45,960 --> 00:00:52,960
+اتجاه الـ K للخارج وهذا اتجاه السالب K للداخل، المتجه
+
+9
+00:00:52,960 --> 00:00:58,280
+ممكن نورّي علينا إنه بدأ بحد المتجه، مجال المغناطيس
+
+10
+00:00:58,280 --> 00:01:05,200
+اتجاهه لهوّين للخارج بهذا الشكل، بيكون بمثّله بنقطة
+
+11
+00:01:05,200 --> 00:01:11,680
+كأنه سهم طالع، هذا زي السهم، اتجاهه لهوّين للداخل لأن
+
+12
+00:01:11,680 --> 00:01:16,700
+هنا سالب K، هنا بيكون عنده K للخارج، سالب K
+
+13
+00:01:16,700 --> 00:01:21,220
+هذا رسم الامتحان، K كأنه بهذا الشكل، السالب K
+
+14
+00:01:21,220 --> 00:01:25,080
+يكون عنده؟ للداخل، إذا ممكن يكون عنده الـ unit
+
+15
+00:01:25,080 --> 00:01:28,180
+vector بالـ minus، إشارته minus بتعبّر عن اتجاه
+
+16
+00:01:28,180 --> 00:01:35,100
+المعاكس، إذا كانت لليمين، السالب سير لليسار، هل أقدر
+
+17
+00:01:35,100 --> 00:01:41,180
+هنا أقول مراحل، هل أقدر أحسب الـ unit vector من هذه
+
+18
+00:01:41,180 --> 00:01:41,780
+العلاقة؟
+
+19
+00:01:53,530 --> 00:02:02,710
+بعد الاتجاه لـ Right، قيمته بتساوي، كقيمة له، قيمته
+
+20
+00:02:02,710 --> 00:02:09,730
+بتساوي خمسة، خمسة متر، أي حاجة، إذا الـ vector إيش لما
+
+21
+00:02:09,730 --> 00:02:14,250
+أكتبه؟ خمسة متر في اتجاه الـ right، لو اتجاه هنا
+
+22
+00:02:14,250 --> 00:02:19,990
+اتجاه الـ I، بيكون لما محور X، لذا هنا كـ vector لو
+
+23
+00:02:19,990 --> 00:02:29,490
+أنا كتبته، بكتبه خمسة، وحده متر، اتجاه منين؟ اللي هي A
+
+24
+00:02:29,490 --> 00:02:35,810
+hat، هذا اتجاه هنا بتساوي مين؟ بتساوي الـ I في هذا
+
+25
+00:02:35,810 --> 00:02:38,190
+الحالة، بتساوي الـ I، لكن في أي حالة ممكن يكون
+
+26
+00:02:38,190 --> 00:02:40,530
+اتجاهها مختلف، لا الـ Right، لا اليمين، لا الشمال،
+
+27
+00:02:40,530 --> 00:02:44,990
+لا الجنوب، أي اتجاه عندك، بينهم خط معين، ولا بين
+
+28
+00:02:44,990 --> 00:02:46,950
+أي شخص متحرك، بعد الاتجاه
+
+29
+00:02:50,360 --> 00:02:56,060
+هذه الوحدة اللي أنا ماشيتها، عبارة عن unit vector
+
+30
+00:02:56,060 --> 00:03:00,120
+لهذا الاتجاه، unit vector لهذا الاتجاه، أي واحد بدي
+
+31
+00:03:00,120 --> 00:03:05,040
+أصفّه، بصفّه بهذه الـ unit، يعني هذه كلمتها واحد الآن
+
+32
+00:03:05,040 --> 00:03:09,960
+لو قلت واحد خمسة ضرب هذا المتجه، أما قلت واحد، بطلع
+
+33
+00:03:09,960 --> 00:03:15,480
+أنه أنا بدي أمشي خمس وحدات في اتجاه هذا الخط، أيًا
+
+34
+00:03:15,480 --> 00:03:20,660
+كان هذا الخط، إذا من هذه العلاقة أقدر أقول أي vector
+
+35
+00:03:20,660 --> 00:03:27,480
+بقول هو الـ magnitude له مضروبة في الـ unit
+
+36
+00:03:27,480 --> 00:03:32,260
+vector له، يعني الـ unit vector هي عبارة عن المتجه
+
+37
+00:03:32,260 --> 00:03:40,500
+إيش؟ على قيمته، المتجه إيش؟ على قيمته، ناخد مثال يعني
+
+38
+00:03:40,500 --> 00:03:44,980
+أنا عندي الآن vector، أبو دايسون في الـ Cartesian
+
+39
+00:03:44,980 --> 00:03:57,460
+coordinate، هذا الـ vector، هذا محور X وهذا
+
+40
+00:03:57,460 --> 00:04:06,820
+محور Y، الآن في عندي vector عبارة عن ثلاثة في اتجاه الـ
+
+41
+00:04:06,820 --> 00:04:12,320
+X وأربعة في اتجاه الـ Y، وهذا الـ vector A، هذا متجه
+
+42
+00:04:12,320 --> 00:04:21,130
+أنا حدّدته، القيمة الآن، إذا قيمته
+
+43
+00:04:21,130 --> 00:04:25,670
+بتساوي خمسة، القيمة له،  بكون  متجه له،
+
+44
+00:04:25,670 --> 00:04:32,500
+القيمة له، حتى تطلع قيمتها قد إيش؟ خمسة، طيب أنا بدي
+
+45
+00:04:32,500 --> 00:04:35,200
+أقصّر في المتجه بالـ unit vector أو أجيب الـ unit
+
+46
+00:04:35,200 --> 00:04:39,360
+vector إليه، كيف أجيب له الـ vector؟ يعني بدي أقطع
+
+47
+00:04:39,360 --> 00:04:44,540
+منه قطعة قيمتها واحد، وأصفّها بالـ X والـ Y، يعني هذه
+
+48
+00:04:44,540 --> 00:04:47,360
+قيمتها قد إيش بدها تكون عند الـ X وقد إيش بدها تكون عند
+
+49
+00:04:47,360 --> 00:04:53,400
+الـ Y حتى تطلع هذه القيمة بتساوي قد إيش؟ واحد، إذا أنا
+
+50
+00:04:53,400 --> 00:04:59,300
+بدي أقطع من المتجه A قطعة تكون قيمتها واحد أو
+
+51
+00:04:59,300 --> 00:05:04,210
+unit، لما أقطع منها، بدي أجيبها وأمثّلها على صورة
+
+52
+00:05:04,210 --> 00:05:08,290
+متجه، يعني متجه، بدي أمثّله... في عندي محور X ومحور
+
+53
+00:05:08,290 --> 00:05:12,170
+Y، قد إيش بدي أقطع من محور X؟ يعني بدي أقطع قطعة من محور X
+
+54
+00:05:12,170 --> 00:05:17,390
+وبدي أقطع من محور Y، طبعًا الخمسة عارفين كيف... في
+
+55
+00:05:17,390 --> 00:05:24,530
+تفاصيل، الآن باجي بقول الـ unit vector هي عبارة عن
+
+56
+00:05:24,530 --> 00:05:31,110
+المتجه على قيمته، على magnitude له، نمسح كل هذا
+
+57
+00:05:31,110 --> 00:05:37,230
+الكلام، المتجه
+
+58
+00:05:37,230 --> 00:05:42,490
+عبارة عن ثلاثة في اتجاه الـ I زائد أربعة في اتجاه
+
+59
+00:05:42,490 --> 00:05:48,590
+الـ J على قيمته، لما حسبناها، ثلاثة تربيع زائد أربعة
+
+60
+00:05:48,590 --> 00:05:55,590
+تربيع تحت الجذر، تطلع خمسة، قبل ما أجيب العدد، باكسم
+
+61
+00:05:55,590 --> 00:05:59,110
+الأول على عدد، حتى مجموعات ثانية على نفس العدد
+
+62
+00:05:59,110 --> 00:06:06,050
+هيكون 3 على 5 في اتجاه I زائد 4 على 5 في اتجاه J
+
+63
+00:06:06,050 --> 00:06:10,850
+يعني هذه القطعة، بدأت أجيب منها 3 على 5، ستة من عشرة
+
+64
+00:06:10,850 --> 00:06:14,410
+في اتجاه I زائد ثمانية من عشرة في اتجاه J، والـ Y
+
+65
+00:06:17,760 --> 00:06:20,040
+هنا ستة من عشرة وهنا ثمانية... تبتكون تبتكون تبتكون تبتكون
+
+66
+00:06:20,040 --> 00:06:20,400
+تبتكون تبتكون تبتكون تبتكون تبتكون تبتكون تبتكون
+
+67
+00:06:20,400 --> 00:06:31,560
+تبتكون تبتكون تبتكون تبتكون
+
+68
+00:06:31,560 --> 00:06:35,420
+تبتكون
+
+69
+00:06:35,420 --> 00:06:40,320
+تبتكون، مقدارها إيش؟ هل تطلع واحد زي ما قلت من
+
+70
+00:06:40,320 --> 00:06:44,100
+البداية؟ هل أنا قطعت لما أمشي 6 من 10 اتجاه الـ I و
+
+71
+00:06:44,100 --> 00:06:48,780
+8 من 10 اتجاه الـ J؟ هل بكون قطعت واحد؟  بدها Feet of
+
+72
+00:06:48,780 --> 00:06:55,460
+Horse مثل قانون الزاوية، 6 من 10 تربيع زائد 8 من 10
+
+73
+00:06:55,460 --> 00:07:03,230
+تربيع تحت الجذر، 6 من 10 يصبح جذر 36 من 100، أو 8 من
+
+74
+00:07:03,230 --> 00:07:10,690
+10 يصبح جذر 64 من 100، يصبح جذر الواحد، ما تساوي
+
+75
+00:07:10,690 --> 00:07:16,780
+الواحد، إذا أنا مشيت 6 من 10 في اتجاه الـ I أو في
+
+76
+00:07:16,780 --> 00:07:20,940
+اتجاه الـ X و 8 من 10 في اتجاه الـ Y، بيكون إن أنا
+
+77
+00:07:20,940 --> 00:07:25,660
+حصلت على قطعة من هذا المتجه قيمتها واحد، وفي نفس
+
+78
+00:07:25,660 --> 00:07:29,140
+اتجاهها، هيك اتجاهها، اتجاه الـ A زي هيك، والقطعة
+
+79
+00:07:29,140 --> 00:07:33,540
+اللي أخذتها أنا من نفس المتجه قيمتها واحد، في نفس
+
+80
+00:07:33,540 --> 00:07:38,000
+الاتجاه، واضح؟ يعني أقدر أقول لو كانت الـ A هذا خمسة
+
+81
+00:07:38,000 --> 00:07:44,380
+بقول خمسة في قيمته الـ A hat،  عندي صفة المتجه
+
+82
+00:07:45,230 --> 00:07:51,030
+يعني خمسة في هذا، في هذا المتجه، أضربه في خمسة يطلع
+
+83
+00:07:51,030 --> 00:07:55,150
+خمس أمثال، ويعني خمس أمثال المتجه، بيصير عند
+
+84
+00:07:55,150 --> 00:08:02,350
+المتجه،  قيمته وإيش؟ واضح، في أي سؤال الآن؟ الـ
+
+85
+00:08:02,350 --> 00:08:09,030
+component of vectors، يعني في عندنا مركبات، نحن بنتكلم
+
+86
+00:08:09,030 --> 00:08:12,860
+عن الـ Cartesian coordinate، الآن الـ Cartesian
+
+87
+00:08:12,860 --> 00:08:23,960
+Coordinate ومحور X ومحور Y ومحور Z، أنا
+
+88
+00:08:23,960 --> 00:08:39,080
+هاخد للتوضيح محور X ومحور Y ومحور Z، ومحور
+
+89
+00:08:39,080 --> 00:08:41,840
+Y ومحور Z ومحور Z ومحور Z ومحور Z ومحور Z ومحور Z
+
+90
+00:08:41,840 --> 00:08:42,000
+ومحور Z ومحور Z ومحور Z ومحور Z ومحور Z ومحور Z
+
+91
+00:08:42,000 --> 00:08:44,490
+ومحور Z ومحور Z ومحور Z ومحور Z ومحور، بهذا الشكل
+
+92
+00:08:44,490 --> 00:08:49,270
+إذا هيكون كأنه ماشي في اتجاه الـ X وبعدين ماشي في
+
+93
+00:08:49,270 --> 00:08:53,030
+اتجاه الـ Y، ماشي طالع في اتجاه الـ Z، هذه نفس ما قُلت
+
+94
+00:08:53,030 --> 00:08:58,970
+ما هقوله، متجه، بندرجه بنجرّ بشكل سهل، بندرج متجه
+
+95
+00:08:58,970 --> 00:09:07,900
+قيمته كم متجه؟ مركّباته الصينية من اتجاه X ومن اتجاه Y
+
+96
+00:09:07,900 --> 00:09:15,300
+مركّباته الصينية من اتجاه X ومن اتجاه Y
+
+97
+00:09:19,230 --> 00:09:23,610
+نقطة أو قيمة في اتجاه الـ X وقيمة في اتجاه الـ Y
+
+98
+00:09:23,610 --> 00:09:27,710
+وحدات في اتجاه الـ X ووحدات في اتجاه الـ Y، الـ AX والـ
+
+99
+00:09:27,710 --> 00:09:32,430
+الـ AY بسمّيها components، components لـ X و components لـ Y
+
+100
+00:09:32,430 --> 00:09:39,870
+مركّبات صينية ومركّبات صادية، طيب، من هنا، من هنا، هذه
+
+101
+00:09:39,870 --> 00:09:46,000
+الزاوية ثيتا، بدي أكتب المتجه، ده حاجتين، قيمته
+
+102
+00:09:46,000 --> 00:09:52,380
+واتجاهه، بقيمته خمسة متر، وبأعمل زاوية ثلاثين مع اتجاه
+
+103
+00:09:52,380 --> 00:09:56,660
+الـ X، بكون حددت القيمة وحددت الاتجاه، زاوية خمسة
+
+104
+00:09:56,660 --> 00:10:02,420
+وزاوية بين الـ X وبين الـ Y، بكون حددت قيمته وحددت
+
+105
+00:10:02,420 --> 00:10:06,820
+اتجاهها من الزاوية، إذا الزاوية والاتجاه والقيمة
+
+106
+00:10:06,820 --> 00:10:11,420
+بالأسفل، زاوية والقيمة بتحدد المتجه، قيمة واتجاه
+
+107
+00:10:11,420 --> 00:10:15,860
+ممكن أحدده بطريقة ثانية بالمركّبات الصينية
+
+108
+00:10:15,860 --> 00:10:20,700
+والمركّبات الصّادية، معناه وصلت لوين؟ إذا هذا
+
+109
+00:10:20,700 --> 00:10:26,420
+المتجه، بدي أدرس المتجه، أي متجه عبارة عن AX اتجاه
+
+110
+00:10:26,420 --> 00:10:34,570
+وين؟ زائد AY، المركّبة الصّادية في اتجاه الـ Y زي
+
+111
+00:10:34,570 --> 00:10:40,750
+المركّبة Z في اتجاه الـ K، كما الـ K والـ I والـ J،
+
+112
+00:10:40,750 --> 00:10:45,790
+اللي هنا بيعبر عن وحدة في اتجاه الـ X ووحدة في
+
+113
+00:10:45,790 --> 00:10:49,690
+اتجاه الـ Y ووحدة في اتجاه الـ Z، محور الـ Z، يعني لو
+
+114
+00:10:49,690 --> 00:10:54,790
+كان بيتحدّث الـ Cartesian coordinate في الفراغ، وأنا
+
+115
+00:10:54,790 --> 00:10:57,710
+فيه متجه في جسم، إتحرك من نقطة البداية ووصل لهنا
+
+116
+00:10:58,430 --> 00:11:04,610
+هذه المتجه، إذا أقدر أقول المتجه هذا، هذا X وهذا Y
+
+117
+00:11:04,610 --> 00:11:11,370
+و Z، لدي إحداثياتها، إذا أي متجه أقدر أكتبه بصورتين، هي
+
+118
+00:11:11,370 --> 00:11:18,770
+إما ثيتا والـ magnitude، ثانيةً الـ magnitude وهذا الـ
+
+119
+00:11:18,770 --> 00:11:19,290
+direction
+
+120
+00:11:22,850 --> 00:11:27,590
+بيمثل اتجاه، أو أقدر أكتبه بصورة ثانية، مركّبة صينية
+
+121
+00:11:27,590 --> 00:11:30,890
+أو صادية، والمركّبة في اتجاه العين أو في اتجاه
+
+122
+00:11:30,890 --> 00:11:37,530
+الـ Z، طيب، هل بدأ أجيب المركّبات من الزاوية؟ طبعًا لو
+
+123
+00:11:37,530 --> 00:11:42,270
+جينا هنا، هذه الزاوية، AX من ثلاث قعر الزاوية، فهمر
+
+124
+00:11:42,270 --> 00:11:49,550
+علينا كـ cos الزاوية، و sin الزاوية، وثاني الزاوية كـ sin
+
+125
+00:11:49,550 --> 00:12:01,010
+الزاوية، بالعلاقة طبعًا، هنا قيمته cos θ تساوي AX على
+
+126
+00:12:01,010 --> 00:12:11,880
+A، المجاورة على الوتر، طيب، منها أقدر أطلع هنا إن AX
+
+127
+00:12:11,880 --> 00:12:16,240
+بتساوي قيمته في cos الزاوية، إذا إن أنا لما أعرف
+
+128
+00:12:16,240 --> 00:12:20,020
+القيمة وأنا في الزاوية، أقدر أجيب المركّب هذا
+
+129
+00:12:20,020 --> 00:12:23,000
+اللي هي في الـ X، compiler sin θ
+
+130
+00:12:26,110 --> 00:12:32,550
+مقابل، عبارة عن AY، AY على مين؟ المقابل على الوتر،
+
+131
+00:12:32,550 --> 00:12:40,650
+إذا AY على A، نفس الطريقة، الـ AY بتساوي A
+
+132
+00:12:40,650 --> 00:12:44,850
+sin الزاوية، A sin الزاوية
+
+133
+00:12:47,120 --> 00:12:52,280
+الصينية، أستطيع تحديدها من القيمة للاتجاه، إزاي؟ هي
+
+134
+00:12:52,280 --> 00:12:57,120
+عبارة عن اتجاه للرقم اللي أنا باخذه، الخمسة، العشرة،
+
+135
+00:12:57,120 --> 00:12:59,760
+هي الـ magnitude، إذا ما هو الـ magnitude والاتجاه؟
+
+136
+00:12:59,760 --> 00:13:03,520
+أستطيع تحديد المركّبات الصينية والمركّبات الصّادية، طيب
+
+137
+00:13:03,520 --> 00:13:06,740
+يعني بمعنى آخر، أنا أستطيع تحويل الصورة، مش هذه
+
+138
+00:13:06,740 --> 00:13:10,810
+الصورة المتجه، وهذه الصورة المتجه، أستطيع تحويل من
+
+139
+00:13:10,810 --> 00:13:14,370
+صورة لصورة ثانية، يعني إذا أعطيتك المتجه، تستطيع
+
+140
+00:13:14,370 --> 00:13:19,090
+ترتيبه بهذه الصورة، AX أجيبها، AY أجيبها، وبعدها
+
+141
+00:13:19,090 --> 00:13:25,470
+المتجه بدلالة مركّبات J أو مركّبات X، صحيح؟ يعني لو
+
+142
+00:13:25,470 --> 00:13:32,590
+قلت لك المتجه، أعطيتك هذه المتجه، طريقة الـ AX، AX
+
+143
+00:13:32,590 --> 00:13:36,990
+المركّب الصيني زائد الـ AY، قلت لك هذا المتجه، وجيب
+
+144
+00:13:36,990 --> 00:13:42,370
+لقيمته قد إيش؟ لقيمته قد إيش؟ مباشرة في قانون، حدد
+
+145
+00:13:42,370 --> 00:13:47,030
+لقيمته، يعني أنه يتحول من هذه الصورة لهذه الصورة
+
+146
+00:13:47,030 --> 00:13:53,810
+قيمته إيش بتساوي؟ AX تربيع زائد AY تربيع تحت الجذر
+
+147
+00:13:55,310 --> 00:13:58,650
+فيكتور، ارسي مركب الأول ومركب الدولة الأول ومركب
+
+148
+00:13:58,650 --> 00:14:05,010
+الدولة الثالث، طيب لو قلت لك احسب الـ direction، هتقول
+
+149
+00:14:05,010 --> 00:14:10,270
+الـ direction، بدي أجيبها من تان الزاوية، تان الزاوية
+
+150
+00:14:10,270 --> 00:14:17,430
+إذا، كنت تطلع الزاوية، تان فيكتور إيش هتساوي عندك؟ تان
+
+151
+00:14:17,430 --> 00:14:29,180
+فيكتور هتيجي تقولي AY على AX، ومنها مباشرة أقدر أجيب
+
+152
+00:14:29,180 --> 00:14:40,060
+shift of tan، tan inverse لـ AY على AX هي ثيتا، إذا
+
+153
+00:14:40,060 --> 00:14:47,780
+أنت تقدر تطلع الـ magnitude والـ direction من خلال
+
+154
+00:14:47,780 --> 00:14:51,660
+معرفتي أو كتابتي المتجه عن طريق المركّبات الصينية
+
+155
+00:14:51,660 --> 00:14:54,620
+والمركّبات الصّادية، لأن أنا أقدر أحوله من صورة لصورة
+
+156
+00:14:54,620 --> 00:14:58,580
+ثانية، أو إذا أعطاني المتجه بمركّبات، مركّبات الصينية
+
+157
+00:14:58,580 --> 00:15:07,740
+و مركّبات الصّادية، أقدر أجيب قيمته وأجيب اتجاهه، ناخد
+
+158
+00:15:07,740 --> 00:15:14,880
+مثال على هالكلام، لو
+
+159
+00:15:14,880 --> 00:15:23,800
+المثال موجود عندنا، نطلع فيه جبل ونرجع ونشوف إيش
+
+160
+00:15:23,800 --> 00:15:24,200
+بده
+
+161
+00:15:36,760 --> 00:15:41,680
+بقول في الـ vector A، بيقع في مين؟ في الـ X Y
+
+162
+00:15:41,680 --> 00:15:46,760
+plane، يعني في عندك Cartesian coordinate بس للتوضيح اللي
+
+163
+00:15:46,760 --> 00:15:53,600
+في الـ X والـ Y، الـ magnitude A، خمسين units، خمسين
+
+164
+00:15:53,600 --> 00:16:00,870
+وحدة، وحدة المستخدم، درجة الـ  هو بـ 120، يعني درجة الـ
+
+165
+00:16:00,870 --> 00:16:08,570
+هي ثيتا، ثيتا بتساوي مائة وعشرين،  المجموعات بتساوي
+
+
+223
+00:22:33,580 --> 00:22:40,120
+بناخذ مثال على جمع المتجهات. في عندنا متجهة
+
+224
+00:22:40,120 --> 00:22:44,960
+قيمتها 4
+
+225
+00:22:44,960 --> 00:22:51,110
+في اتجاه الـ X و 3 في اتجاه الـ Y.
+
+226
+00:22:51,110 --> 00:22:55,150
+والمتجهة الثانية، الـ B، قيمتها 3 في اتجاه محور X و 7
+
+227
+00:22:55,150 --> 00:23:01,290
+في اتجاه محور Y. والمطلوب أن أجد resultant vector
+
+228
+00:23:01,290 --> 00:23:07,570
+أو محصلة المتجهين، أو جمع A زائد B.  ببساطة، الشغل
+
+229
+00:23:07,570 --> 00:23:15,870
+أكتب المتجه الأول عبارة عن 4 + 3 في اتجاه
+
+230
+00:23:17,130 --> 00:23:23,830
+المتجه الثاني، 3 في اتجاه محور X و 7 في اتجاه محور
+
+231
+00:23:23,830 --> 00:23:34,090
+Y. A زائد B يساوي،  بنجمعهم:  عندي أربعة
+
+232
+00:23:34,090 --> 00:23:39,530
+زائد ثلاثة،  هيكون عندي 7 في اتجاه محور X
+
+233
+00:23:39,530 --> 00:23:47,880
+زائد ثلاثة وسبعة، 10 في اتجاه محور Y. لو أنا بدي
+
+234
+00:23:47,880 --> 00:23:53,240
+أطرحهم، A ناقص B مباشرة: أربعة ناقص ثلاثة
+
+235
+00:23:53,240 --> 00:23:58,610
+بيطلع واحد في اتجاه الـ I زائد، اللي هو
+
+236
+00:23:58,610 --> 00:24:03,610
+الثلاثة ناقص سبعة،  يُعطينا ناقص أربعة في اتجاه
+
+237
+00:24:03,610 --> 00:24:06,590
+الـ I. ممكن أجيب... أشيل الإشارة السالبة الموجودة
+
+238
+00:24:06,590 --> 00:24:09,850
+بتاعتها، لأنها عبارة عن جمع لو كنت أنا اللي بحسب ال
+
+239
+00:24:09,850 --> 00:24:14,730
+magnitude والـ direction.  الـ magnitude قيمته، بجيب
+
+240
+00:24:14,730 --> 00:24:20,210
+مربع المكونة السينية زائد مربع المكونة الصادية، وكذلك
+
+241
+00:24:21,490 --> 00:24:25,230
+بنفس الطريقة، بجيب وأطرح الـ two vectors، مربع
+
+242
+00:24:25,230 --> 00:24:30,030
+المكونة السينية أو المكون الـ X زائد الـ Y
+
+243
+00:24:30,030 --> 00:24:34,650
+component squared. طبعاً هذه عملية جمع الـ two vectors.
+
+244
+00:24:34,650 --> 00:24:40,630
+نأخذ كمان vectors ونشوف كميات فيزيائية
+
+245
+00:24:40,630 --> 00:24:48,290
+مثل displacement. في عندي جسم تعرض لإزاحات متتالية
+
+246
+00:24:48,290 --> 00:24:54,370
+ثلاث إزاحات متتالية. الإزاحة الأولى 1، الإزاحة
+
+247
+00:24:54,370 --> 00:24:58,570
+الثانية 2، أو بدي أجيب المحصلة أو بدي أجيب
+
+248
+00:24:58,570 --> 00:25:06,110
+الإزاحة الكلية لهذا الجسم. الإزاحة الكلية: أول حاجة
+
+249
+00:25:06,110 --> 00:25:09,670
+هذه 1، وهذه 2، وهذه 3.  هذه 1، وهذه 2، و
+
+250
+00:25:09,670 --> 00:25:15,490
+هذه 3. بحطهم تحت بعض، وبعدين أجمعهم: بأجمع الـ I مع
+
+251
+00:25:15,490 --> 00:25:21,880
+بعض. يطلع عندي واحد زائد اثنين ناقص واحد، واحد زائد
+
+252
+00:25:21,880 --> 00:25:26,000
+اثنين ناقص واحد في اتجاه الـ I. بعدين هأجمع الـ Y مع
+
+253
+00:25:26,000 --> 00:25:31,380
+بعض: ثلاثة وناقص واحد وواحد. ثلاثة وناقص واحد و
+
+254
+00:25:31,380 --> 00:25:35,140
+واحد. يطلع عندي ثلاثة في اتجاه الـ Y. بعدين عندي
+
+255
+00:25:35,140 --> 00:25:40,800
+المحصلة الأخيرة، أو الإزاحة في اتجاه الـ Z، اللي
+
+256
+00:25:40,800 --> 00:25:46,960
+هي واحد زائد اثنين زائد صفر في اتجاه
+
+257
+00:25:46,960 --> 00:25:53,930
+الـ K. بالتالي لدي ناقص واحد، ناقص ثلاثة، وصفر. ناقص
+
+258
+00:25:53,930 --> 00:26:01,550
+واحد، ناقص ثلاثة، وصفر. ناقص ثلاثة، وصفر. ناقص ثلاثة
+
+259
+00:26:01,550 --> 00:26:10,910
+وصفر. ناقص ثلاثة، وصفر. ناقص ثلاثة، وصفر. ناقص ثلاثة
+
+260
+00:26:10,910 --> 00:26:15,050
+وصفر. ناقص ثلاثة، وصفر. ناقص ثلاثة، وصفر. ناقص ثلاثة
+
+261
+00:26:15,050 --> 00:26:22,050
+وصفر.  هذه قيمته، ممكن أحسبها اللي عبارة عن جذر
+
+262
+00:26:22,050 --> 00:26:30,310
+القيمة، جذر 2 تربيع زائد 3 تربيع زائد سالب 4 تربيع
+
+263
+00:26:30,310 --> 00:26:35,390
+هذه قيمته. اتجاهه،  المواكب في اتجاه الـ X والـ Y، بالتر
+
+264
+00:26:35,390 --> 00:26:42,050
+تيب،  بعدين أنت اللي هو رحلة القياس بالسنتيمتر.
+
+265
+00:26:47,000 --> 00:26:56,420
+نأخذ كمان مثال.  إنه
+
+266
+00:26:56,420 --> 00:27:00,460
+أندر،  بو ارتيكل، برضه اتعرض لإزاحات، بس في طريق الرسم
+
+267
+00:27:00,460 --> 00:27:08,280
+أندر مجموعة من الإزاحات، أعطاني
+
+268
+00:27:08,280 --> 00:27:12,040
+الـ direction، يعني أعطاني المثال قبل، أعطانيه على
+
+269
+00:27:12,040 --> 00:27:18,560
+X, Y, Z. يعني أعطاني كمكونّات. هذا السؤال، أعطاني
+
+270
+00:27:18,560 --> 00:27:24,960
+كقيم واتجاهات. قال: الأول، إزاحة عندك أربعة، ثلاثة من
+
+271
+00:27:24,960 --> 00:27:31,860
+عشرة متر southeast، يعني بعمل زاوية قيمتها خمسة
+
+272
+00:27:31,860 --> 00:27:37,960
+وأربعين. هذه الزاوية للإزاحة الأولى قيمتها خمسة
+
+273
+00:27:37,960 --> 00:27:44,110
+وأربعين. يعني زاوية 45. بعدين تحرك لمن؟
+
+274
+00:27:44,110 --> 00:27:49,250
+للـ East. للـ East يعني زاوية صفر. يعني كانت في اتجاه
+
+275
+00:27:49,250 --> 00:27:55,530
+الـ I أو في اتجاه الـ X. قيمتها كم أعطانيها؟ 2.4 متر.
+
+276
+00:27:55,530 --> 00:28:02,050
+هذه 1، 4.3. أعطانيه قيمة، وهذه 1 أعطانيه قيمتها 2
+
+277
+00:28:02,050 --> 00:28:09,490
+.4. وبعدين قال: يتحرك للـ North. كم قيمتها North؟ يعني
+
+278
+00:28:09,490 --> 00:28:15,170
+إزاحتها 90 درجة للـ North، بقيمة قيمتها 5.2.
+
+279
+00:28:15,170 --> 00:28:20,250
+لأن باجي بكتب المتجه الأولاني أن هذه 1
+
+280
+00:28:20,250 --> 00:28:25,650
+كـ X component وـ Y component. هذه 1، إزاحتها معروفة عند
+
+281
+00:28:25,650 --> 00:28:30,190
+45.  القيمة معروفة. بضرب الـ 4.3 القيمة في cosine الـ 45. cosine
+
+282
+00:28:30,190 --> 00:28:36,430
+الـ 45. ما أنساش سالب في اتجاه الـ I. آسف، سالب
+
+283
+00:28:36,430 --> 00:28:44,200
+4.3.  سالب لأن 45 سالبة اتجاهها لأنها تتكلم عن زاوية
+
+284
+00:28:44,200 --> 00:28:53,220
+في الربع الرابع. الربع الرابع، الـ minimum،
+
+285
+00:28:53,220 --> 00:28:57,700
+كل موجبة بس الـ cosine لأن هذا الأصل قبل، قصده السالب.
+
+286
+00:28:57,700 --> 00:29:03,850
+لأن Y تتكلم زاوية من بداية محور X. تطلع قيمتها
+
+287
+00:29:03,850 --> 00:29:08,010
+بالسالب. عشان هي حطت السالب لأن السالب من 45 موجبة.
+
+288
+00:29:08,010 --> 00:29:11,350
+وهنا في الربع الرابع، السالب بتكون قيمتها بالسالب.
+
+289
+00:29:11,350 --> 00:29:15,690
+هذه 2 فقط. هذه 2.4 من عشرة في اتجاه الـ
+
+290
+00:29:15,690 --> 00:29:22,490
+Y، زائد صفر في اتجاه الـ X. هذه 3 ما لهاش في اتجاه
+
+291
+00:29:22,490 --> 00:29:28,550
+الـ X، لكنها في اتجاه الـ Y، 5.2.
+
+292
+00:29:28,550 --> 00:29:31,730
+والآن D1 المحصلة لها زائد D2 كمتجهة. جمع اتجاه D3، ايش
+
+293
+00:29:36,560 --> 00:29:44,060
+بدنا نعمل؟ بدنا نجمع هذول مع بعض، اتجاه I، ونجمع
+
+294
+00:29:44,060 --> 00:29:49,820
+هذول مع بعض، اتجاه محور Y. هيطلع عندك 4.3 من 10
+
+295
+00:29:49,820 --> 00:29:54,060
+كـ cosine من 45. جذر 2. إذاً 4.3 من 10 على جذر 2، زائد
+
+296
+00:29:54,060 --> 00:30:01,960
+2.4 زائد صفر، طبعاً. وهنا سيكون عندي سالب 4.3 على جذر
+
+297
+00:30:09,080 --> 00:30:12,460
+الاثنين، لأنها 45، واحد على جذر الاثنين، مش عارف.
+
+298
+00:30:12,460 --> 00:30:20,240
+سالبة هنا، صفر زائد صفر زائد 5.2. وبجمعهم ويطلع النتيجة
+
+299
+00:30:20,240 --> 00:30:24,240
+وبعد ذلك يطلع هذه قيمة النتيجة اللي بتطلع معايا 5
+
+300
+00:30:24,240 --> 00:30:25,200
+.4
+
+301
+00:30:28,660 --> 00:30:32,500
+4 في اتجاه الـ I، و 12، و 16، و 10 في اتجاه الـ J. بقدر
+
+302
+00:30:32,500 --> 00:30:35,760
+أجيب الـ magnitude بهذه القيمة، وبقدر أجيب الـ
+
+303
+00:30:35,760 --> 00:30:41,040
+direction. magnitude جذر المكونة السينية تربيع، زي
+
+304
+00:30:41,040 --> 00:30:45,900
+الـ Y component squared، وبقدر أجيب القيمة.
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/F-XMGzGwibs_postprocess.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/F-XMGzGwibs_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..c2ab6554218cb012e261f5ff862429f1da2de5c9
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/F-XMGzGwibs_postprocess.srt
@@ -0,0 +1,1220 @@
+1
+00:00:05,150 --> 00:00:09,730
+طيب الآن أنا قولت I و J و K طيب لو حطيت سالب I
+
+2
+00:00:09,730 --> 00:00:16,630
+حطيت إشارة سالب، إيش بده يصير؟ فقط من عكس الاتجاه،
+
+3
+00:00:16,630 --> 00:00:22,290
+يعني بدل ما هذا اتجاهه ل right بيصير إيش؟ اتجاهه
+
+4
+00:00:22,290 --> 00:00:27,640
+لل left، إذن هنا سالب I، لا فوقهنا بيكون إيه إيش؟
+
+5
+00:00:27,640 --> 00:00:33,520
+سالب K هنا K للداخل هو سالب K ده بالملاحظة أحيانا
+
+6
+00:00:33,520 --> 00:00:39,820
+لما يكون متمثل متجه حطيته نقطة على شكل نقطة مناته
+
+7
+00:00:39,820 --> 00:00:45,960
+اتجاهه لإيه؟ للخارج، اتجاه ال K لو حطيته cross هذا
+
+8
+00:00:45,960 --> 00:00:52,960
+اتجاه ال K للخارج وهذا اتجاه السالب Kللداخل المتجة
+
+9
+00:00:52,960 --> 00:00:58,280
+ممكن نور علينا إنه بدأت بحد المتجة مجال المغناطيس
+
+10
+00:00:58,280 --> 00:01:05,200
+اتجاه لهوين للخارج بهذا الشكل بيكون بمثله بنقطة
+
+11
+00:01:05,200 --> 00:01:11,680
+كأنه سهم طالع هذا زي السهم اتجاه لهوين للداخل لأن
+
+12
+00:01:11,680 --> 00:01:16,700
+هنا سالب كيه هنا بيكون عنده كيه للخارج سالب كيه
+
+13
+00:01:16,700 --> 00:01:21,220
+هذا رسم الامتحان كيه كاينها بهذا الشكلالسالب كيف
+
+14
+00:01:21,220 --> 00:01:25,080
+يكون عنده؟ للداخل إذا ممكن يكون عنده ال unit
+
+15
+00:01:25,080 --> 00:01:28,180
+vector بالminus إشارته minus بتعبر على اتجاه
+
+16
+00:01:28,180 --> 00:01:35,100
+المعاكس إذا كانت لليمين السالب سير لليسار هل بقدر
+
+17
+00:01:35,100 --> 00:01:41,180
+هنا أقول مراحلة هل بقدر أحسب ال unit vector من هذه
+
+18
+00:01:41,180 --> 00:01:41,780
+العلاقة
+
+19
+00:01:53,530 --> 00:02:02,710
+بعد الاتجاه لـ Right قيمته بتساوي كقيمة له قيمته
+
+20
+00:02:02,710 --> 00:02:09,730
+بتساوي خمسة خمسة متر اي حاجةأذا ال vector ايه لما
+
+21
+00:02:09,730 --> 00:02:14,250
+اكتبه خمسة متر في اتجاه ال right لو اتجاه هنا
+
+22
+00:02:14,250 --> 00:02:19,990
+اتجاه ال I بيكون لما محور X لذا هنا ك vector لو
+
+23
+00:02:19,990 --> 00:02:29,490
+أنا كتبته بكتبه خمسة وحته متر اتجاه منين اللي هي A
+
+24
+00:02:29,490 --> 00:02:35,810
+hatهذا اتجاه هنا بتساوي مين؟ بتساوي الـI في هذا
+
+25
+00:02:35,810 --> 00:02:38,190
+الحالة بتساوي الـI، لكن في أي حالة ممكن يكون
+
+26
+00:02:38,190 --> 00:02:40,530
+اتجاهها مختلف، لا الـRight، لا النفط، لا الشمال،
+
+27
+00:02:40,530 --> 00:02:44,990
+لا الجنوب، أي اتجاه عندك، بينهم خط معين، ولا بين
+
+28
+00:02:44,990 --> 00:02:46,950
+أي شخص متحرك بعد الاتجاه
+
+29
+00:02:50,360 --> 00:02:56,060
+هذه الوحدة اللي انا ماشيتها عبارة عن unit vector
+
+30
+00:02:56,060 --> 00:03:00,120
+لهذا الاتجاه unit vector لهذا الاتجاه اي واحد بدي
+
+31
+00:03:00,120 --> 00:03:05,040
+اصفه بصفه بهذه ال unit يعني هذه الكمتها واحد الان
+
+32
+00:03:05,040 --> 00:03:09,960
+لو قلت واحد خمسة ضرب هذا المتجه اما قلت واحد بطلع
+
+33
+00:03:09,960 --> 00:03:15,480
+انه انا بدي امشي خمس وحدات في اتجاه هذا الخط ايا
+
+34
+00:03:15,480 --> 00:03:20,660
+كان هذا الخطإذا من هذه العلاقة بقدر أقول أي vector
+
+35
+00:03:20,660 --> 00:03:27,480
+بقول هو ال magnitude له مضروبة في النيل في ال unit
+
+36
+00:03:27,480 --> 00:03:32,260
+vector له يعني ال unit vector هي عبارة عن المتجه
+
+37
+00:03:32,260 --> 00:03:40,500
+إيه على قيمته المتجه إيه على قيمته ناخد مثال يعني
+
+38
+00:03:40,500 --> 00:03:44,980
+أنا عندي الآن vector أبو داسون في ال Cartesian
+
+39
+00:03:44,980 --> 00:03:57,460
+coordinate هذا ال vectorهذا محور X وهذا
+
+40
+00:03:57,460 --> 00:04:06,820
+محور Y الان فيني فيكتور عبارة عن تلاتة في اتجاه ال
+
+41
+00:04:06,820 --> 00:04:12,320
+X واربعة في اتجاه ال Y وهذا ال vector A هذا متجر
+
+42
+00:04:12,320 --> 00:04:21,130
+انا حددتهالقيمة الان إذا قيمته
+
+43
+00:04:21,130 --> 00:04:25,670
+بالساوية خمسة، القيمة إله أسد، بيكونش متجهلة،
+
+44
+00:04:25,670 --> 00:04:32,500
+القيمة إله، حتى تطلع قيمتها جديش، خمسةطيب أنا بدي
+
+45
+00:04:32,500 --> 00:04:35,200
+أقصر في المتجة بال unit vector أو أجيب ال unit
+
+46
+00:04:35,200 --> 00:04:39,360
+vector إليه كيف أجيب ليه ال vector؟ يعني بدي أقطع
+
+47
+00:04:39,360 --> 00:04:44,540
+لقطع منهم قيمته واحد واصفها بال X و Y يعني هذه
+
+48
+00:04:44,540 --> 00:04:47,360
+قيمة جديش بدها تكون عند ال X و جديش بدها تكون عند
+
+49
+00:04:47,360 --> 00:04:53,400
+ال Y حتى تطلع هذه القيمة بالسوء جديش واحد إذا أنا
+
+50
+00:04:53,400 --> 00:04:59,300
+بدي أقطع من المتجة إيه قطعة تكون قيمتها واحد أو
+
+51
+00:04:59,300 --> 00:05:04,210
+unityلما أقطع منها بدي أجيبها و أبطيها على صورة
+
+52
+00:05:04,210 --> 00:05:08,290
+متجة يعني متجة بدي أبطيها .. في عندي محور X و محور
+
+53
+00:05:08,290 --> 00:05:12,170
+Y جدش بدي أقطع من محور X يعني بدي أقصف دقطة محور X
+
+54
+00:05:12,170 --> 00:05:17,390
+و بدي أقطع من محور Y طبعا الخمسة عارفين كيف .. في
+
+55
+00:05:17,390 --> 00:05:24,530
+تفاصيل الآن باجي بقول ال unit vector هي عبارة عن
+
+56
+00:05:24,530 --> 00:05:31,110
+المتجة على قيمته على magnitude لهنمسح كل هذا
+
+57
+00:05:31,110 --> 00:05:37,230
+الكلام المتجة
+
+58
+00:05:37,230 --> 00:05:42,490
+عبارة عن تلاتة في اتجاه الـ I زائد أربعة في اتجاه
+
+59
+00:05:42,490 --> 00:05:48,590
+الـ U على قيمته لما حسبناها تلاتة تربيه زائد أربعة
+
+60
+00:05:48,590 --> 00:05:55,590
+كارمية في الـ R تطلع خمسة قبل ما أجسم عددباكسم
+
+61
+00:05:55,590 --> 00:05:59,110
+الأول على عدد حتى مجموعات تانية على نفس العدد
+
+62
+00:05:59,110 --> 00:06:06,050
+هيكون 3 على 5 في اتجاه I زائد 4 على 5 في اتجاه D
+
+63
+00:06:06,050 --> 00:06:10,850
+يعني هذه القطعة بدأت أجس منها 3 على 5 ستة من عشرة
+
+64
+00:06:10,850 --> 00:06:14,410
+في اتجاه I زائد تمانية من عشرة في اتجاه A وY
+
+65
+00:06:17,760 --> 00:06:20,040
+هنا ستة من عشرة وهنا تبتكون تبتكون تبتكون تبتكون
+
+66
+00:06:20,040 --> 00:06:20,400
+تبتكون تبتكون تبتكون تبتكون تبتكون تبتكون تبتكون
+
+67
+00:06:20,400 --> 00:06:31,560
+تبتكون تبتكون تبتكون تبتكون
+
+68
+00:06:31,560 --> 00:06:35,420
+تبتكون
+
+69
+00:06:35,420 --> 00:06:40,320
+تبتكونمقدار الايه؟ هل تطلع واحد زي ما قلت من
+
+70
+00:06:40,320 --> 00:06:44,100
+البداية؟ هل انا قطعت لما امشي 6 من 10 اتجاه ال I و
+
+71
+00:06:44,100 --> 00:06:48,780
+8 من 10 اتجاه ال Y؟ هل بكون قطعت واحد؟ بدا Feet of
+
+72
+00:06:48,780 --> 00:06:55,460
+Horse مثل القانع الزاوية 6 من 10 تربيع زي 8 من 10
+
+73
+00:06:55,460 --> 00:07:03,230
+تربيع تحت الجدق6 من 10 يصبح جدر 36 من 100 أو 8 من
+
+74
+00:07:03,230 --> 00:07:10,690
+10 يصبح جدر 64 من 100 يصبح جدر الواحد ما تساوي
+
+75
+00:07:10,690 --> 00:07:16,780
+الواحد إذا أنا مشيت 6 من 10 في اتجاه الـIأو في
+
+76
+00:07:16,780 --> 00:07:20,940
+اتجاه ال X و 8 من 10 في اتجاه ال Y بيكون ان انا
+
+77
+00:07:20,940 --> 00:07:25,660
+حصلت على قطعة من هذا المتجه قيمتها واحد و في نفس
+
+78
+00:07:25,660 --> 00:07:29,140
+اتجاهها هيك اتجاهها اتجاه ال A زي هيك و القطعة
+
+79
+00:07:29,140 --> 00:07:33,540
+اللي أخدتها انا من نفس المتجه قيمتها واحد في نفس
+
+80
+00:07:33,540 --> 00:07:38,000
+الاتجاه واضح يعني بقدر اقول لو كانت ال A هذا خمسة
+
+81
+00:07:38,000 --> 00:07:44,380
+بقول خمسة في قيمتني ال A هات فاطل عندي صفة المتجه
+
+82
+00:07:45,230 --> 00:07:51,030
+يعني خمسة في هذا في هذا مبتجر اضربه في خمسة يطلع
+
+83
+00:07:51,030 --> 00:07:55,150
+خمس أمثال ويعني خمس أمثال المبتجر بيصير عند
+
+84
+00:07:55,150 --> 00:08:02,350
+المبتجر خيمة و إيه واضح في أي سؤال الآن ال
+
+85
+00:08:02,350 --> 00:08:09,030
+component of vectors يعني في عند مركبات نحن بنتكلم
+
+86
+00:08:09,030 --> 00:08:12,860
+عن ال Cartesian coordinate الآنالـ Cartesian
+
+87
+00:08:12,860 --> 00:08:23,960
+Coordinate ومحور X ومحور Y ومحور Z انا
+
+88
+00:08:23,960 --> 00:08:39,080
+هاخد للتثيير محور X ومحور Y ومحور Z ومحور
+
+89
+00:08:39,080 --> 00:08:41,840
+Y ومحور Z ومحور Z ومحور Z ومحور Z ومحور Z ومحور Z
+
+90
+00:08:41,840 --> 00:08:42,000
+ومحور Z ومحور Z ومحور Z ومحور Z ومحور Z ومحور Z
+
+91
+00:08:42,000 --> 00:08:44,490
+ومحور Z ومحور Z ومحور Z ومحور Z ومحوربهذا الشكل
+
+92
+00:08:44,490 --> 00:08:49,270
+إذا هيكون كأنه ماشي في اتجاه ال X وبعدين ماشي في
+
+93
+00:08:49,270 --> 00:08:53,030
+اتجاه ال Y ماشي طالع في اتجاه ال Y هذه نفس ما قلته
+
+94
+00:08:53,030 --> 00:08:58,970
+ما هقوله متجهة بندر انجر بشكل سهل بندر انجر متجهة
+
+95
+00:08:58,970 --> 00:09:07,900
+قيمته كم متجهة؟مراكبة صينية من اتجاه X ومن اتجاه Y
+
+96
+00:09:07,900 --> 00:09:15,300
+مراكبة صينية من اتجاه X ومن اتجاه Y
+
+97
+00:09:19,230 --> 00:09:23,610
+نقطة أو قيمة في اتجاه ال X و قيمة في اتجاه ال Y
+
+98
+00:09:23,610 --> 00:09:27,710
+وحدات في اتجاه ال X و وحدات في اتجاه ال Y ال AX و
+
+99
+00:09:27,710 --> 00:09:32,430
+ال AY بسميها كمبونات كمبونات ل X و كمبونات ل Y
+
+100
+00:09:32,430 --> 00:09:39,870
+مركبات سينية و مركبات قصة طيب، من هنا، من هنا، هذه
+
+101
+00:09:39,870 --> 00:09:46,000
+الزاوية ثيتا، بدي أكتب المتجة، ده حاجتينقيمته
+
+102
+00:09:46,000 --> 00:09:52,380
+واتجاهه بقيمته خمس متر و بعمل زرعه تلاتين مع اتجاه
+
+103
+00:09:52,380 --> 00:09:56,660
+ال X بكون حددت القيمة و حددت الاتجاه زرعه خمسة
+
+104
+00:09:56,660 --> 00:10:02,420
+وارمين بين ال X و بين ال Y بكون حددت قيمته و حددت
+
+105
+00:10:02,420 --> 00:10:06,820
+اتجاهها من الزرعإذا الزاوية بالاتجاه والقيمة
+
+106
+00:10:06,820 --> 00:10:11,420
+بالأسفل زاوية والقيمة بتحدد المتجهة قيمة واتجاه
+
+107
+00:10:11,420 --> 00:10:15,860
+ممكن أحدده بطريقة تانية بالمواكبات الصينية
+
+108
+00:10:15,860 --> 00:10:20,700
+والمواكبات الصعودية معناه وصلت لوين إذا هذا
+
+109
+00:10:20,700 --> 00:10:26,420
+المتجهة بدرست بالمتجهة أي متجهة عبارة عن ax اتجاه
+
+110
+00:10:26,420 --> 00:10:34,570
+وين زائد ayالمواكبة إقصادية في اتجاه الـY زي
+
+111
+00:10:34,570 --> 00:10:40,750
+المواكبة Z في اتجاه الـK كما الـK والـI الجبانساش
+
+112
+00:10:40,750 --> 00:10:45,790
+اللي هنا بيعبر عن وحدة في اتجاه الـX ووحدة في
+
+113
+00:10:45,790 --> 00:10:49,690
+اتجاه الـY ووحدة في اتجاه الـZ محو الـZ يعني لو
+
+114
+00:10:49,690 --> 00:10:54,790
+كان بيتريد ال Cartesian coordinate في الفراغة وانا
+
+115
+00:10:54,790 --> 00:10:57,710
+فيه متجهة في جسم اتحرك من نقطة البداية ووصل لهنا
+
+116
+00:10:58,430 --> 00:11:04,610
+هذه المتجة إذا بقدر أقول المتجة هيندي هذا X يخي Y
+
+117
+00:11:04,610 --> 00:11:11,370
+و Z لدي اشكمتها إذا اي متجة بقدر أكترها بصورتين هي
+
+118
+00:11:11,370 --> 00:11:18,770
+اما ثيطا للمجنتيود تانتر المجنتيود هذا ال
+
+119
+00:11:18,770 --> 00:11:19,290
+direction
+
+120
+00:11:22,850 --> 00:11:27,590
+بيمو اتجاه او بقدر ارتبه صورة تانية مواكبة سينية
+
+121
+00:11:27,590 --> 00:11:30,890
+او صادرية و المواكبة في اتجاه العين او في اتجاه
+
+122
+00:11:30,890 --> 00:11:37,530
+الزبط طب هل بدأ اجيب المواكبة من الزاوية؟ طبعا لو
+
+123
+00:11:37,530 --> 00:11:42,270
+جينا هنا هذه الزاوية Ax من ثلاث قعر الزاوية فهمر
+
+124
+00:11:42,270 --> 00:11:49,550
+علينا كصين الزاوية وصين الزاوية وتاني الزاوية كصين
+
+125
+00:11:49,550 --> 00:12:01,010
+الزاويةبالعلاقة طبعا هنا كيمته cos θ تسوى ax ع ال
+
+126
+00:12:01,010 --> 00:12:11,880
+a مجاورة ع الوثام طيب منهابقدر اطلع هنا ان a x في
+
+127
+00:12:11,880 --> 00:12:16,240
+الساوية قيمته في cos ازاى اذا ان انا لما اعرف
+
+128
+00:12:16,240 --> 00:12:20,020
+القيمة و انا في الزاوية بقدر اجيبني المواكب ده
+
+129
+00:12:20,020 --> 00:12:23,000
+اللي هي في ال x compiler sin θ
+
+130
+00:12:26,110 --> 00:12:32,550
+مقابل لعبارة عن a y a y على مين المقابل على الوتر
+
+131
+00:12:32,550 --> 00:12:40,650
+اذا a y على قلب ال a نفس الطريقة ال a y بتساوي a
+
+132
+00:12:40,650 --> 00:12:44,850
+sin الزاوية a sin الزاوية
+
+133
+00:12:47,120 --> 00:12:52,280
+الصينية، أستطيع تحذيرها من القيمة للاتجاه إزاي هي
+
+134
+00:12:52,280 --> 00:12:57,120
+عبارة عن اتجاه للرقم اللي أنا باخده الخمسة، العشرة
+
+135
+00:12:57,120 --> 00:12:59,760
+هي ال magnitude إذا ما هو ال magnitude والاتجاه
+
+136
+00:12:59,760 --> 00:13:03,520
+أستطيع تحدد المواكب الصينية والمواكب السعودية طيب
+
+137
+00:13:03,520 --> 00:13:06,740
+يعني بمعنى آخر، أنا أستطيع تحول الصورة، مش هذه
+
+138
+00:13:06,740 --> 00:13:10,810
+الصورة المتجرةوهذه الصورة المتجة تستطيع تحويل من
+
+139
+00:13:10,810 --> 00:13:14,370
+صورة لصورة تانية يعني اذا اعطيتك المتجة تستطيع
+
+140
+00:13:14,370 --> 00:13:19,090
+ترتيب هذه الصورة اكس بجيبها الي بجيبها وبعدها
+
+141
+00:13:19,090 --> 00:13:25,470
+المتجة بدلالة مواكبة C او مواكبة اكس صحيح يعني لو
+
+142
+00:13:25,470 --> 00:13:32,590
+قلتلك المتجة اعطيتك هذه المتجة طريقة ال AXAX
+
+143
+00:13:32,590 --> 00:13:36,990
+المركب الصيني زائد ال AY قلت لك هاي المنتجة و جيب
+
+144
+00:13:36,990 --> 00:13:42,370
+لقيمته قد أيش لقيمه قد أيش مباشرة في تراث حد
+
+145
+00:13:42,370 --> 00:13:47,030
+لقيمته يعني انه يتحول من هذه الصورة لهذه الصورة
+
+146
+00:13:47,030 --> 00:13:53,810
+قيمته ايش بتساوي AX تربيع زائد AY تربيع تحت الجدر
+
+147
+00:13:55,310 --> 00:13:58,650
+فيتر ارص محبع الاول ومحبع الدولة الاول ومحبع
+
+148
+00:13:58,650 --> 00:14:05,010
+الدولة التالت طب لو قلتلك احسب ال direction هتقول
+
+149
+00:14:05,010 --> 00:14:10,270
+ال direction بدي اجيبها من تان الزاوية تان الزاوية
+
+150
+00:14:10,270 --> 00:14:17,430
+اذا كنت تطلع الزاوية تان فيتر ايش هتساوي عندك تان
+
+151
+00:14:17,430 --> 00:14:29,180
+فيتر هتيجي تقولي Ayعلى a x ومنها مباشرة بقدر اجيب
+
+152
+00:14:29,180 --> 00:14:40,060
+shift of tan tan inverse ل a y على a x هي ثيتا اذا
+
+153
+00:14:40,060 --> 00:14:47,780
+انت تقدر تطلع ال magnitude و ال directionمن خلال
+
+154
+00:14:47,780 --> 00:14:51,660
+معرفتي أو كتابتي المتجة عن طريق المراكب الصينية
+
+155
+00:14:51,660 --> 00:14:54,620
+والمراكب الصادية لان انا بقدر احواله من صورة لصورة
+
+156
+00:14:54,620 --> 00:14:58,580
+تانية او اذا اعطاني المتجة بمراكبات مراكب الصينية
+
+157
+00:14:58,580 --> 00:15:07,740
+ومراكب الصادية بقدر اجيب قيم توجيب اتجاهي ناخد
+
+158
+00:15:07,740 --> 00:15:14,880
+مثال على هالكلام لو
+
+159
+00:15:14,880 --> 00:15:23,800
+المثال موجود عندننطلع فيه جبل و نجرح و نشوف إيش
+
+160
+00:15:23,800 --> 00:15:24,200
+بده
+
+161
+00:15:36,760 --> 00:15:41,680
+بقول في ال vector ايه؟ بيقع في مين؟ في ال X Y
+
+162
+00:15:41,680 --> 00:15:46,760
+plane يعني في عندك ارتيزة كواربينيت بس لتثيير اللي
+
+163
+00:15:46,760 --> 00:15:53,600
+في ال X وY ال magnitude إيه؟ خمسين units خمسين
+
+164
+00:15:53,600 --> 00:16:00,870
+وحدة، وحدة المستخدمدرجة الهو بيعشرين يعني درجة اله
+
+165
+00:16:00,870 --> 00:16:08,570
+هي ثيتا ثيتا بتساوي مائة و عشرين المجموعات بيساوي
+
+166
+00:16:08,570 --> 00:16:14,790
+خمسين وحدة المطمئنين
+
+167
+00:16:14,790 --> 00:16:20,170
+منها component rectangular components
+
+168
+00:16:23,150 --> 00:16:29,070
+و AY يعني بدك تجيبليمُعكّبة الصينية مُعكّبة الـ X
+
+169
+00:16:29,070 --> 00:16:33,510
+الـ X component و الـ Y component خلّينا قبل شوية
+
+170
+00:16:33,510 --> 00:16:38,830
+يعني أعطاني المتجه بحاجتين بقيمة و اتجاه و دلوقتي
+
+171
+00:16:38,830 --> 00:16:42,610
+أحوّل من صورة لصورة تانية يعني أعطاني فيتا و
+
+172
+00:16:42,610 --> 00:16:47,310
+أعطاني الـ A فيتا بالسوء 120 و الـ A بالسوء 50
+
+173
+00:16:47,310 --> 00:16:55,010
+units جالس جيب الـ AX أو اكتبوا على صورة الـ AX
+
+174
+00:16:56,010 --> 00:17:06,950
+زائد أي ماذا
+
+175
+00:17:06,950 --> 00:17:16,510
+اول حاجة برجع
+
+176
+00:17:16,510 --> 00:17:23,320
+بس شويهبدأ أجيب الـ ax هي عبارة كتبناها الآن عبارة
+
+177
+00:17:23,320 --> 00:17:31,540
+عن a cos الزاوية ال a عطلية 50 والزاوية 120 زي 50
+
+178
+00:17:31,540 --> 00:17:38,260
+cos 120 تطلع ال cos إيه؟ بالسالب ذاكرين؟ عندي أربع
+
+179
+00:17:38,260 --> 00:17:46,300
+أرباع هنا هنا موجب عند الساعد و ال cosine و التاني
+
+180
+00:17:47,020 --> 00:17:57,160
+فاكرين كل جبار هنا الـSin ثيتا هنا الـCos جتهب هنا
+
+181
+00:17:57,160 --> 00:18:06,620
+فقط بيكون كل جبار ظالم كل بسيط هنا الضعف التاني
+
+182
+00:18:06,620 --> 00:18:15,580
+هنا الـCos هنا الـSin والـCos والتاني وجب هنا فقط
+
+183
+00:18:16,600 --> 00:18:21,480
+الـSin هو الموجب هنا التاني الموجب هنا الـCos عنده
+
+184
+00:18:21,480 --> 00:18:26,380
+الموجب والباقي سوالب يعني الـSin موجب الكسان
+
+185
+00:18:26,380 --> 00:18:30,680
+والتاني سالب سالب هنا عنده هنا التاني والسالب
+
+186
+00:18:30,680 --> 00:18:35,460
+والكسان سالب هنا الكسان والباقي معاهم سالب سالب
+
+187
+00:18:35,460 --> 00:18:42,640
+إذا هنا الـCos الـ120 إشارتها نفسها سالب كسان
+
+188
+00:18:42,640 --> 00:18:43,360
+الستين
+
+189
+00:18:50,980 --> 00:19:00,180
+الصين هنا عبارة عن صين الستين اذا
+
+190
+00:19:00,180 --> 00:19:07,450
+أردت اكتب ال vector هو عبارة عن25 unit في اتجاه ال
+
+191
+00:19:07,450 --> 00:19:11,390
+I اشارتها بالسالب هي منطقية باتجاه انا وانت باتجاه
+
+192
+00:19:11,390 --> 00:19:16,830
+السالب لان انا عنده I ماهيش سالب I زائد كده عنده
+
+193
+00:19:16,830 --> 00:19:25,110
+في اتجاه ال Y عندي 43.3 في اتجاه ال Y لذالك هذا هو
+
+194
+00:19:25,110 --> 00:19:29,490
+المتجة كتبته بصورة كارتيزيا او بصورة المراكبات
+
+195
+00:19:29,490 --> 00:19:32,190
+المراكبة السينية او المراكبة الصعودية
+
+196
+00:19:35,650 --> 00:19:39,890
+نرجح كمان مرة بيقول جمعنا ال vector لكن جمعناها
+
+197
+00:19:39,890 --> 00:19:43,570
+الأولى بطريقة graphical method الرسم نقلنا ال
+
+198
+00:19:43,570 --> 00:19:46,830
+vector الأولان ال vector التاني الآن مابديش أنقل
+
+199
+00:19:46,830 --> 00:19:56,170
+مابدي أجيب ال vectorو أجمعه بطريقة تانية الجبريك
+
+200
+00:19:56,170 --> 00:20:00,230
+يعني بجمع الجبريك أجمع ال X component مع بعض و Y
+
+201
+00:20:00,230 --> 00:20:03,070
+component مع بعض و أشوف المعكبات اللي بتطلع من هاي
+
+202
+00:20:03,070 --> 00:20:09,440
+كيف ممكن أنا أحسبها لو أنا فيه Vector Aالـ Vector
+
+203
+00:20:09,440 --> 00:20:14,980
+A بيساوي Ax إتجاه I زائد Ay في إتجاه الجهة والـ
+
+204
+00:20:14,980 --> 00:20:20,220
+Vector B هو معكّمة سينية Bx في إتجاه I ومعكّمة
+
+205
+00:20:20,220 --> 00:20:27,340
+وسادية By في إتجاه الجهة الآن لو قلت لك A زائد B
+
+206
+00:20:28,800 --> 00:20:33,520
+أيش هتروح تعمل؟ هتجمع الـA مع بعض والـB مع بعض
+
+207
+00:20:33,520 --> 00:20:41,040
+هتجمع عبارة عن AX زائد BX المواكبات السينية متشابه
+
+208
+00:20:41,040 --> 00:20:49,180
+مع بعض زائد AY زائد BY جمعتهم مع بعض اتجاههم وين
+
+209
+00:20:49,180 --> 00:20:54,740
+في اتجاه الـY يعني كأنه عندك متجه أولاني هى هذا A
+
+210
+00:20:54,740 --> 00:20:57,060
+وفي عندك متجه تاني هذا B
+
+211
+00:21:03,290 --> 00:21:10,230
+هذه المتجهة A وهذه المتجهة B محصلتها
+
+212
+00:21:10,230 --> 00:21:19,390
+هتكون هذه لو جينا هنا عند هنا AX وهنا AY AY هيهم
+
+213
+00:21:19,390 --> 00:21:27,350
+هذا له كمان مفتوح
+
+214
+00:21:27,350 --> 00:21:38,400
+البداية له BX وهنابي ننقل البي وهي البي وهي
+
+215
+00:21:38,400 --> 00:21:45,740
+ال بي اكس زمارة
+
+216
+00:21:45,740 --> 00:21:51,000
+اسرية عبارة عن ax مجموعة لها بي اكس هذا في اتجاه
+
+217
+00:21:51,000 --> 00:21:57,760
+الاي او في اتجاه الاكس هنا ay مجموعة لها بي في
+
+218
+00:21:57,760 --> 00:22:03,490
+اتجاهمحور الـ Y إذا جمعت المتجهة H بقدر أجمع
+
+219
+00:22:03,490 --> 00:22:09,250
+المراكبات يتشابه مع بعض مثلًا لو أطرح المتجهة هنا
+
+220
+00:22:09,250 --> 00:22:16,190
+يعني A ناقص B ما أريد أن أضع هنا ناقص ناقص يعني A
+
+221
+00:22:16,190 --> 00:22:21,330
+زائد B أو A ناقص B اللي هو عبارة عن الجمع بس أريد
+
+222
+00:22:21,330 --> 00:22:25,970
+أن أعكس المتجهة لأن هو إلى أعلى سيكون إلى أسفل
+
+223
+00:22:33,580 --> 00:22:40,120
+بناخد مثال على جمع المتجهات في عند المتجهة
+
+224
+00:22:40,120 --> 00:22:44,960
+قيمته 4
+
+225
+00:22:44,960 --> 00:22:51,110
+في اتجاه الـ X و 3 في اتجاه الـ Yالـ Y ومن تجاه
+
+226
+00:22:51,110 --> 00:22:55,150
+التاني الـ BND سالم تلاتة في اتجاه محور X والسبعة
+
+227
+00:22:55,150 --> 00:23:01,290
+في اتجاه محور Y والمطلوب ان اجيب resultant vector
+
+228
+00:23:01,290 --> 00:23:07,570
+او محاصلة لل vector او جمع A زائد D بضروح الشعمال
+
+229
+00:23:07,570 --> 00:23:15,870
+اكتب ال vector الأولاني عبارة عن 4 زائد 3 في اتجاه
+
+230
+00:23:17,130 --> 00:23:23,830
+ب ساول ثالث تلاتة تجاه محور X وعندي سبعة تجاه محور
+
+231
+00:23:23,830 --> 00:23:34,090
+Y A زائد B بيساو كنان مضان بيجمعهم هتلاع عندي أربع
+
+232
+00:23:34,090 --> 00:23:39,530
+زائد ثالث تلاتة هتلاع عندي واحد في اتجاه محور X
+
+233
+00:23:39,530 --> 00:23:47,880
+زائد ثلاثة وسبعة عشرة في اتجاه محور Yلو انا بدي
+
+234
+00:23:47,880 --> 00:23:53,240
+اضطحهم ا ناقص بيه مباشرة اربع ناقص ناقص تلاتة
+
+235
+00:23:53,240 --> 00:23:58,610
+بيطلع يجي السبعةتجاه نحو الـ I زائد اللي هو
+
+236
+00:23:58,610 --> 00:24:03,610
+التلاتة ناقص سبعة لعنده ناقص أربعة في اتجاه نحو ال
+
+237
+00:24:03,610 --> 00:24:06,590
+I ممكن أجيب .. أشيل الإشارة السالية الموجة اللي
+
+238
+00:24:06,590 --> 00:24:09,850
+بتاعتني لذا هي عبارة عن جمعه لو كنت اللي بيحسب ال
+
+239
+00:24:09,850 --> 00:24:14,730
+magnitude و ال direction ال magnitude قيمته بجيب
+
+240
+00:24:14,730 --> 00:24:20,210
+مربع المراكبة السنية زي المراكبة الصعودية و كذلك
+
+241
+00:24:21,490 --> 00:24:25,230
+بنفس الكيفية بجيب واطرح الـ two vector مربع
+
+242
+00:24:25,230 --> 00:24:30,030
+المهتبة السينية او المهتبة ال X component زاد ال Y
+
+243
+00:24:30,030 --> 00:24:34,650
+component square طبعا هذه عملية جمع ال two vector
+
+244
+00:24:34,650 --> 00:24:40,630
+ناخد كمان vectors ونشوف كميات فيزيائية
+
+245
+00:24:40,630 --> 00:24:48,290
+displacement في عند جسم تعرض لتلتإزاحات متتالية
+
+246
+00:24:48,290 --> 00:24:54,370
+تلت إزاحات متتالية الإزاحة الأولى دي واحد الإزاحة
+
+247
+00:24:54,370 --> 00:24:58,570
+التانية دي تلت أو بدي أجيب المحصن أو بدي أجيب
+
+248
+00:24:58,570 --> 00:25:06,110
+الإزاحة الكلية لهذا الجسم الإزاحة الكلية أول حاجة
+
+249
+00:25:06,110 --> 00:25:09,670
+دي واحد و دي اتنين و دي تلاتة دي واحد و دي اتنين و
+
+250
+00:25:09,670 --> 00:25:15,490
+دي تلاتة بحطهم تحت بعض وبعدين أجمعهم باجمع ال I مع
+
+251
+00:25:15,490 --> 00:25:21,880
+بعضهيطلع عند واحد زائد اتنين سالب واحد واحد زائد
+
+252
+00:25:21,880 --> 00:25:26,000
+اتنين سالب واحد في اتجاه ال I بعدين هجمع ال Y مع
+
+253
+00:25:26,000 --> 00:25:31,380
+بعض تلاتة و سالب واحد و واحد تلاتة و سالب واحد و
+
+254
+00:25:31,380 --> 00:25:35,140
+واحد وطلع عند تلاتة في اتجاه ال Y بعدين عند
+
+255
+00:25:35,140 --> 00:25:40,800
+المحصلة الأخيرة او لزاحةالذي في اتجاه الـ Z اللي
+
+256
+00:25:40,800 --> 00:25:46,960
+يسار الواحد زائد سارة وتلاتة زائد Zero في اتجاه
+
+257
+00:25:46,960 --> 00:25:53,930
+الـ Kبالتالي لدي سالب واحد سالب تلاتة وزيرو سالب
+
+258
+00:25:53,930 --> 00:26:01,550
+واحد سالب تلاتة وزيرو سالب تلاتة وزيرو سالب تلاتة
+
+259
+00:26:01,550 --> 00:26:10,910
+وزيرو سالب تلاتة وزيرو سالب تلاتة وزيرو سالب تلاتة
+
+260
+00:26:10,910 --> 00:26:15,050
+وزيرو سالب تلاتة وزيرو سالب تلاتة وزيرو سالب تلاتة
+
+261
+00:26:15,050 --> 00:26:22,050
+وزيروزاها قيمته ممكن احسبها اللي عبارة عن جدر
+
+262
+00:26:22,050 --> 00:26:30,310
+القيمة جدر 2 تربيه زائد 3 كربيه زائد سالب 4 تربيه
+
+263
+00:26:30,310 --> 00:26:35,390
+هاي قيمته اتجاهه المواكب في اتجاه ال X و Y بالتر
+
+264
+00:26:35,390 --> 00:26:42,050
+حد مكانه بعدين انت اللي هو رحلة القياس بالصانتمتر
+
+265
+00:26:47,000 --> 00:26:56,420
+ناخد كمان مثال انه
+
+266
+00:26:56,420 --> 00:27:00,460
+اندر بو ارتيكل برضه اتعرض لإذاحات بس فى طريق الرسم
+
+267
+00:27:00,460 --> 00:27:08,280
+اندر مجموعة من الإذاحات اعطاني
+
+268
+00:27:08,280 --> 00:27:12,040
+ال direction يعني اعطاني المثال القبل اعطانيه على
+
+269
+00:27:12,040 --> 00:27:18,560
+Xwhy is it يعني أعطاني ككمبونر هذا السؤال أعطاني
+
+270
+00:27:18,560 --> 00:27:24,960
+كقيمة واتجاه قال الأول إزاحة عندك أربعة تلاتة من
+
+271
+00:27:24,960 --> 00:27:31,860
+عشرة متر southeast يعني بعمل زاوية قيمتها خمسة
+
+272
+00:27:31,860 --> 00:27:37,960
+واربعين هذا الزاوية للإزاحة الأولى قيمتها خمسة
+
+273
+00:27:37,960 --> 00:27:44,110
+واربعينيعني زاوية واحد خمس و أربع بعدين اتحرك لمن؟
+
+274
+00:27:44,110 --> 00:27:49,250
+لل East لل East يعني زاوية Zero يعني كانت في تجاه
+
+275
+00:27:49,250 --> 00:27:55,530
+ال I او في تجاه ال X قيمتها كم اعطانيها؟ 2.4 متر
+
+276
+00:27:55,530 --> 00:28:02,050
+دي واحد 4.3 اعطانيه قيمة و دي واحد اعطانيه قيمته 2
+
+277
+00:28:02,050 --> 00:28:09,490
+.4 و بعدين جال يتحرك لل North كم قيمتها North؟يعني
+
+278
+00:28:09,490 --> 00:28:15,170
+ازايتها تسعين درجة للارض بقيمة قيمتها خمسة point
+
+279
+00:28:15,170 --> 00:28:20,250
+اتنين لان باجي بكتب ال vector الأولاني ان دي واحد
+
+280
+00:28:20,250 --> 00:28:25,650
+ك X component و Y component دي واحد ازاى معروف عند
+
+281
+00:28:25,650 --> 00:28:30,190
+خمسة واربعين هو القيمة معروفة بندربي الأربعة point
+
+282
+00:28:30,190 --> 00:28:36,430
+تلاتة القيمة في cosine الخمسة واربعين cosine
+
+283
+00:28:36,430 --> 00:28:44,200
+الخمسة واربعينماأنساش سالب في اتجاه ال I اسف سالب
+
+284
+00:28:44,200 --> 00:28:53,220
+4.3 سائل من 45 سائل اتجاهها لانها اتكلم عن زاوية
+
+285
+00:28:53,220 --> 00:28:57,700
+دي كلها او في الربع الأخرى الربع الأخرى ال minimum
+
+286
+00:28:57,700 --> 00:29:03,850
+كل موجة بس ال cosine لان هذا الاصل قبلهقص الصالب
+
+287
+00:29:03,850 --> 00:29:08,010
+لإن Y بيتكلم زاوية من بداية محور X تطلع قيمتها
+
+288
+00:29:08,010 --> 00:29:11,350
+بالصالب عشان هي تحطت الصالب لإن الصالب من 45 موجة
+
+289
+00:29:11,350 --> 00:29:15,690
+وهنا في الربع الأخير الصالب بتكون قيمتها بالصالب
+
+290
+00:29:15,690 --> 00:29:22,490
+دي اتنين فقط اله اتنين وأربعة من عشرة في اتجاه ال
+
+291
+00:29:22,490 --> 00:29:28,550
+Y زائد Zero في اتجاه ال Y دي تلاتة مالهاش في اتجاه
+
+292
+00:29:28,550 --> 00:29:31,730
+ال X لكن انها في اتجاه ال Y خمسة point اتنين
+
+293
+00:29:36,560 --> 00:29:44,060
+والان D1 المحصر له زائد D2 كمتجهة جمع اتجاه D3 ايش
+
+294
+00:29:44,060 --> 00:29:49,820
+بدنا نعمل؟ بدنا نجمع هدولها مع بعض اتجاه I ونجمع
+
+295
+00:29:49,820 --> 00:29:54,060
+هدولها مع بعض اتجاه محور Y هيطلع عندك 4 3 من 10
+
+296
+00:29:54,060 --> 00:30:01,960
+كسايم من 5 و41 أجدر 2 اذا 4 3 من 10 على جدر 2 زائد
+
+297
+00:30:01,960 --> 00:30:09,080
+2.4 زائد Zero طبعاوهنا سيكون عندى سالب 4.3 على جذر
+
+298
+00:30:09,080 --> 00:30:12,460
+الاتنين لان اصينا 45 واحد على جذر الاتنين مش عارف
+
+299
+00:30:12,460 --> 00:30:20,240
+سالبه هنا 0 زاد 0 زاد 5.2 وبجمعهم وبطلع النتيجة
+
+300
+00:30:20,240 --> 00:30:24,240
+وبعد ذلك بطلع هذه قيمة النتيجة اللى بتطلع معايا 5
+
+301
+00:30:24,240 --> 00:30:25,200
+.4
+
+302
+00:30:28,660 --> 00:30:32,500
+4 في اتجاه ال I و 12 و 16 و 10 في اتجاه ال J بقدر
+
+303
+00:30:32,500 --> 00:30:35,760
+اجيب ال magnitude بهذه القيمة و بقدر اجيب ال
+
+304
+00:30:35,760 --> 00:30:41,040
+direction magnitude جدر المواكب السينية تربيع زي
+
+305
+00:30:41,040 --> 00:30:45,900
+ال Y component square و بقدر اجيب القيمة
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/F-XMGzGwibs_raw.json b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/F-XMGzGwibs_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..4267690e8e69451c3111bd3c18aa14895a54718c
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/F-XMGzGwibs_raw.json
@@ -0,0 +1 @@
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او صادرية و المواكبة في اتجاه العين او في اتجاه الزبط طب هل بدأ اجيب المواكبة من الزاوية؟ طبعا لو جينا هنا هذه الزاوية Ax من ثلاث قعر الزاوية فهمر علينا كصين الزاوية وصين الزاوية وتاني الزاوية كصين الزاوية", "tokens": [3555, 32640, 2407, 1975, 2655, 7435, 40294, 1975, 2407, 4724, 28543, 2288, 1975, 43500, 3555, 3224, 20328, 13063, 3660, 6055, 7649, 10632, 3714, 14407, 4117, 49401, 8608, 9957, 10632, 1975, 2407, 20328, 18513, 2288, 10632, 4032, 9673, 14407, 4117, 49401, 8978, 1975, 2655, 7435, 40294, 18863, 9957, 1975, 2407, 8978, 1975, 2655, 7435, 40294, 6024, 110, 3555, 9566, 23032, 3555, 8032, 1211, 47525, 10721, 1975, 7435, 1829, 3555, 9673, 14407, 4117, 49401, 9154, 6024, 110, 995, 2407, 10632, 22807, 23032, 3555, 3615, 995, 45164, 10874, 1829, 8315, 34105, 29538, 6024, 110, 995, 2407, 10632, 20118, 9154, 38637, 1211, 5718, 104, 12174, 3615, 2288, 6024, 110, 995, 2407, 10632, 6156, 16095, 2288, 25894, 8315, 9122, 9381, 9957, 6024, 110, 995, 2407, 10632, 4032, 9381, 9957, 6024, 110, 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تحدد المواكب الصينية والمواكب السعودية طيب يعني بمعنى آخر، أنا أستطيع تحول الصورة، مش هذه الصورة المتجرة", "tokens": [6027, 9381, 9957, 10632, 12399, 5551, 14851, 9566, 40228, 6055, 5016, 8848, 13546, 11296, 9154, 25062, 32640, 3660, 24976, 9307, 7435, 40294, 11933, 11622, 47302, 39896, 6225, 3555, 9640, 3660, 18871, 1975, 2655, 7435, 40294, 24976, 2288, 4587, 2304, 13672, 1829, 41850, 4724, 47283, 3215, 3224, 33962, 2304, 3794, 3660, 12399, 18863, 8592, 25720, 39896, 2423, 15668, 11933, 15730, 19446, 31439, 2423, 15668, 16070, 9307, 7435, 40294, 5551, 14851, 9566, 40228, 6055, 24401, 3215, 9673, 14407, 4117, 3555, 31767, 9957, 10632, 16070, 2304, 14407, 4117, 3555, 21136, 3615, 23328, 10632, 23032, 1829, 3555, 37495, 22653, 4724, 2304, 3615, 1863, 7578, 19753, 34740, 12399, 41850, 5551, 14851, 9566, 40228, 6055, 5016, 12610, 31767, 13063, 3660, 12399, 37893, 29538, 31767, 13063, 3660, 9673, 2655, 7435, 25720], "avg_logprob": -0.30624999618530274, "compression_ratio": 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" والسالب", "probability": 0.600433349609375}, {"start": 1110.68, "end": 1111.02, "word": " والكسان", "probability": 0.817138671875}, {"start": 1111.02, "end": 1111.5, "word": " سالب", "probability": 0.9544270833333334}, {"start": 1111.5, "end": 1111.7, "word": " هنا", "probability": 0.81201171875}, {"start": 1111.7, "end": 1112.26, "word": " الكسان", "probability": 0.83349609375}, {"start": 1112.26, "end": 1112.76, "word": " والباقي", "probability": 0.94970703125}, {"start": 1112.76, "end": 1113.3, "word": " معاهم", "probability": 0.7096354166666666}, {"start": 1113.3, "end": 1115.06, "word": " سالب", "probability": 0.9794921875}, {"start": 1115.06, "end": 1115.46, "word": " سالب", "probability": 0.9827473958333334}, {"start": 1115.46, "end": 1116.02, "word": " إذا", "probability": 0.5443115234375}, {"start": 1116.02, "end": 1116.32, "word": " هنا", "probability": 0.81591796875}, {"start": 1116.32, "end": 1116.76, "word": " الـCos", "probability": 0.81396484375}, {"start": 1116.76, 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1167.21, "end": 1168.17, "word": " كارتيزيا", "probability": 0.702099609375}, {"start": 1168.17, "end": 1168.39, "word": " او", "probability": 0.785888671875}, {"start": 1168.39, "end": 1168.73, "word": " بصورة", "probability": 0.881591796875}, {"start": 1168.73, "end": 1169.49, "word": " المراكبات", "probability": 0.830078125}, {"start": 1169.49, "end": 1169.95, "word": " المراكبة", "probability": 0.71771240234375}, {"start": 1169.95, "end": 1170.39, "word": " السينية", "probability": 0.8279622395833334}, {"start": 1170.39, "end": 1170.55, "word": " او", "probability": 0.631591796875}, {"start": 1170.55, "end": 1171.13, "word": " المراكبة", "probability": 0.9100341796875}, {"start": 1171.13, "end": 1172.19, "word": " الصعودية", "probability": 0.8599853515625}], "temperature": 1.0}, {"id": 50, "seek": 118919, "start": 1175.65, "end": 1189.19, "text": "نرجح كمان مرة بيقول جمعنا ال vector لكن جمعناها الأولى بطريقة graphical method الرسم نقلنا ال vector الأولان ال vector التاني الآن مابديش أنقل مابدي أجيب ال vector", "tokens": [1863, 47341, 5016, 9122, 2304, 7649, 3714, 25720, 4724, 1829, 39648, 10874, 2304, 3615, 8315, 2423, 8062, 44381, 10874, 2304, 3615, 8315, 11296, 16247, 12610, 7578, 4724, 9566, 16572, 28671, 35942, 3170, 34892, 38251, 8717, 4587, 1211, 8315, 2423, 8062, 16247, 12610, 7649, 2423, 8062, 16712, 7649, 1829, 6024, 48506, 3714, 16758, 16254, 8592, 14739, 4587, 1211, 3714, 16758, 16254, 5551, 7435, 1829, 3555, 2423, 8062], "avg_logprob": -0.35191230809510643, "compression_ratio": 1.6883116883116882, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1175.65, "end": 1176.29, "word": "نرجح", "probability": 0.4383138020833333}, {"start": 1176.29, "end": 1177.23, "word": " كمان", "probability": 0.6638997395833334}, {"start": 1177.23, "end": 1177.55, "word": " مرة", "probability": 0.8916015625}, {"start": 1177.55, "end": 1177.99, "word": " بيقول", "probability": 0.6134440104166666}, {"start": 1177.99, "end": 1178.47, "word": " جمعنا", 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1837.3, "word": " جدر", "probability": 0.6167399088541666}, {"start": 1837.3, "end": 1837.72, "word": " المواكب", "probability": 0.8822021484375}, {"start": 1837.72, "end": 1838.28, "word": " السينية", "probability": 0.8977864583333334}, {"start": 1838.28, "end": 1840.6, "word": " تربيع", "probability": 0.55072021484375}, {"start": 1840.6, "end": 1841.04, "word": " زي", "probability": 0.6494140625}, {"start": 1841.04, "end": 1841.26, "word": " ال", "probability": 0.7783203125}, {"start": 1841.26, "end": 1841.68, "word": " Y", "probability": 0.8935546875}, {"start": 1841.68, "end": 1843.28, "word": " component", "probability": 0.85546875}, {"start": 1843.28, "end": 1843.92, "word": " square", "probability": 0.43994140625}, {"start": 1843.92, "end": 1844.88, "word": " و", "probability": 0.35595703125}, {"start": 1844.88, "end": 1845.18, "word": " بقدر", "probability": 0.9715169270833334}, {"start": 1845.18, "end": 1845.42, "word": " اجيب", "probability": 0.978271484375}, {"start": 1845.42, "end": 1845.9, "word": " القيمة", "probability": 0.962890625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1847.6814375, "duration_after_vad": 1749.8362499999957}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/F-XMGzGwibs_raw.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/F-XMGzGwibs_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..f12885d0eaf7aa7c0ca1070bcc74784f2dea5231
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/F-XMGzGwibs_raw.srt
@@ -0,0 +1,1236 @@
+1
+00:00:05,150 --> 00:00:09,730
+طيب الآن أنا قولت I و J و K طيب لو حطيت سالب I
+
+2
+00:00:09,730 --> 00:00:16,630
+حطيت إشارة سالب، إيش بده يصير؟ فقط من عكس الاتجاه،
+
+3
+00:00:16,630 --> 00:00:22,290
+يعني بدل ما هذا اتجاهه ل right بيصير إيش؟ اتجاهه
+
+4
+00:00:22,290 --> 00:00:27,640
+لل left، إذن هنا سالب I، لا فوقهنا بيكون إيه إيش؟
+
+5
+00:00:27,640 --> 00:00:33,520
+سالب K هنا K للداخل هو سالب K ده بالملاحظة أحيانا
+
+6
+00:00:33,520 --> 00:00:39,820
+لما يكون متمثل متجه حطيته نقطة على شكل نقطة مناته
+
+7
+00:00:39,820 --> 00:00:45,960
+اتجاهه لإيه؟ للخارج، اتجاه ال K لو حطيته cross هذا
+
+8
+00:00:45,960 --> 00:00:52,960
+اتجاه ال K للخارج وهذا اتجاه السالب Kللداخل المتجة
+
+9
+00:00:52,960 --> 00:00:58,280
+ممكن نور علينا إنه بدأت بحد المتجة مجال المغناطيس
+
+10
+00:00:58,280 --> 00:01:05,200
+اتجاه لهوين للخارج بهذا الشكل بيكون بمثله بنقطة
+
+11
+00:01:05,200 --> 00:01:11,680
+كأنه سهم طالع هذا زي السهم اتجاه لهوين للداخل لأن
+
+12
+00:01:11,680 --> 00:01:16,700
+هنا سالب كيه هنا بيكون عنده كيه للخارج سالب كيه
+
+13
+00:01:16,700 --> 00:01:21,220
+هذا رسم الامتحان كيه كاينها بهذا الشكلالسالب كيف
+
+14
+00:01:21,220 --> 00:01:25,080
+يكون عنده؟ للداخل إذا ممكن يكون عنده ال unit
+
+15
+00:01:25,080 --> 00:01:28,180
+vector بالminus إشارته minus بتعبر على اتجاه
+
+16
+00:01:28,180 --> 00:01:35,100
+المعاكس إذا كانت لليمين السالب سير لليسار هل بقدر
+
+17
+00:01:35,100 --> 00:01:41,180
+هنا أقول مراحلة هل بقدر أحسب ال unit vector من هذه
+
+18
+00:01:41,180 --> 00:01:41,780
+العلاقة
+
+19
+00:01:53,530 --> 00:02:02,710
+بعد الاتجاه لـ Right قيمته بتساوي كقيمة له قيمته
+
+20
+00:02:02,710 --> 00:02:09,730
+بتساوي خمسة خمسة متر اي حاجةأذا ال vector ايه لما
+
+21
+00:02:09,730 --> 00:02:14,250
+اكتبه خمسة متر في اتجاه ال right لو اتجاه هنا
+
+22
+00:02:14,250 --> 00:02:19,990
+اتجاه ال I بيكون لما محور X لذا هنا ك vector لو
+
+23
+00:02:19,990 --> 00:02:29,490
+أنا كتبته بكتبه خمسة وحته متر اتجاه منين اللي هي A
+
+24
+00:02:29,490 --> 00:02:35,810
+hatهذا اتجاه هنا بتساوي مين؟ بتساوي الـI في هذا
+
+25
+00:02:35,810 --> 00:02:38,190
+الحالة بتساوي الـI، لكن في أي حالة ممكن يكون
+
+26
+00:02:38,190 --> 00:02:40,530
+اتجاهها مختلف، لا الـRight، لا النفط، لا الشمال،
+
+27
+00:02:40,530 --> 00:02:44,990
+لا الجنوب، أي اتجاه عندك، بينهم خط معين، ولا بين
+
+28
+00:02:44,990 --> 00:02:46,950
+أي شخص متحرك بعد الاتجاه
+
+29
+00:02:50,360 --> 00:02:56,060
+هذه الوحدة اللي انا ماشيتها عبارة عن unit vector
+
+30
+00:02:56,060 --> 00:03:00,120
+لهذا الاتجاه unit vector لهذا الاتجاه اي واحد بدي
+
+31
+00:03:00,120 --> 00:03:05,040
+اصفه بصفه بهذه ال unit يعني هذه الكمتها واحد الان
+
+32
+00:03:05,040 --> 00:03:09,960
+لو قلت واحد خمسة ضرب هذا المتجه اما قلت واحد بطلع
+
+33
+00:03:09,960 --> 00:03:15,480
+انه انا بدي امشي خمس وحدات في اتجاه هذا الخط ايا
+
+34
+00:03:15,480 --> 00:03:20,660
+كان هذا الخطإذا من هذه العلاقة بقدر أقول أي vector
+
+35
+00:03:20,660 --> 00:03:27,480
+بقول هو ال magnitude له مضروبة في النيل في ال unit
+
+36
+00:03:27,480 --> 00:03:32,260
+vector له يعني ال unit vector هي عبارة عن المتجه
+
+37
+00:03:32,260 --> 00:03:40,500
+إيه على قيمته المتجه إيه على قيمته ناخد مثال يعني
+
+38
+00:03:40,500 --> 00:03:44,980
+أنا عندي الآن vector أبو داسون في ال Cartesian
+
+39
+00:03:44,980 --> 00:03:57,460
+coordinate هذا ال vectorهذا محور X وهذا
+
+40
+00:03:57,460 --> 00:04:06,820
+محور Y الان فيني فيكتور عبارة عن تلاتة في اتجاه ال
+
+41
+00:04:06,820 --> 00:04:12,320
+X واربعة في اتجاه ال Y وهذا ال vector A هذا متجر
+
+42
+00:04:12,320 --> 00:04:21,130
+انا حددتهالقيمة الان إذا قيمته
+
+43
+00:04:21,130 --> 00:04:25,670
+بالساوية خمسة، القيمة إله أسد، بيكونش متجهلة،
+
+44
+00:04:25,670 --> 00:04:32,500
+القيمة إله، حتى تطلع قيمتها جديش، خمسةطيب أنا بدي
+
+45
+00:04:32,500 --> 00:04:35,200
+أقصر في المتجة بال unit vector أو أجيب ال unit
+
+46
+00:04:35,200 --> 00:04:39,360
+vector إليه كيف أجيب ليه ال vector؟ يعني بدي أقطع
+
+47
+00:04:39,360 --> 00:04:44,540
+لقطع منهم قيمته واحد واصفها بال X و Y يعني هذه
+
+48
+00:04:44,540 --> 00:04:47,360
+قيمة جديش بدها تكون عند ال X و جديش بدها تكون عند
+
+49
+00:04:47,360 --> 00:04:53,400
+ال Y حتى تطلع هذه القيمة بالسوء جديش واحد إذا أنا
+
+50
+00:04:53,400 --> 00:04:59,300
+بدي أقطع من المتجة إيه قطعة تكون قيمتها واحد أو
+
+51
+00:04:59,300 --> 00:05:04,210
+unityلما أقطع منها بدي أجيبها و أبطيها على صورة
+
+52
+00:05:04,210 --> 00:05:08,290
+متجة يعني متجة بدي أبطيها .. في عندي محور X و محور
+
+53
+00:05:08,290 --> 00:05:12,170
+Y جدش بدي أقطع من محور X يعني بدي أقصف دقطة محور X
+
+54
+00:05:12,170 --> 00:05:17,390
+و بدي أقطع من محور Y طبعا الخمسة عارفين كيف .. في
+
+55
+00:05:17,390 --> 00:05:24,530
+تفاصيل الآن باجي بقول ال unit vector هي عبارة عن
+
+56
+00:05:24,530 --> 00:05:31,110
+المتجة على قيمته على magnitude لهنمسح كل هذا
+
+57
+00:05:31,110 --> 00:05:37,230
+الكلام المتجة
+
+58
+00:05:37,230 --> 00:05:42,490
+عبارة عن تلاتة في اتجاه الـ I زائد أربعة في اتجاه
+
+59
+00:05:42,490 --> 00:05:48,590
+الـ U على قيمته لما حسبناها تلاتة تربيه زائد أربعة
+
+60
+00:05:48,590 --> 00:05:55,590
+كارمية في الـ R تطلع خمسة قبل ما أجسم عددباكسم
+
+61
+00:05:55,590 --> 00:05:59,110
+الأول على عدد حتى مجموعات تانية على نفس العدد
+
+62
+00:05:59,110 --> 00:06:06,050
+هيكون 3 على 5 في اتجاه I زائد 4 على 5 في اتجاه D
+
+63
+00:06:06,050 --> 00:06:10,850
+يعني هذه القطعة بدأت أجس منها 3 على 5 ستة من عشرة
+
+64
+00:06:10,850 --> 00:06:14,410
+في اتجاه I زائد تمانية من عشرة في اتجاه A وY
+
+65
+00:06:17,760 --> 00:06:20,040
+هنا ستة من عشرة وهنا تبتكون تبتكون تبتكون تبتكون
+
+66
+00:06:20,040 --> 00:06:20,400
+تبتكون تبتكون تبتكون تبتكون تبتكون تبتكون تبتكون
+
+67
+00:06:20,400 --> 00:06:31,560
+تبتكون تبتكون تبتكون تبتكون
+
+68
+00:06:31,560 --> 00:06:35,420
+تبتكون
+
+69
+00:06:35,420 --> 00:06:40,320
+تبتكونمقدار الايه؟ هل تطلع واحد زي ما قلت من
+
+70
+00:06:40,320 --> 00:06:44,100
+البداية؟ هل انا قطعت لما امشي 6 من 10 اتجاه ال I و
+
+71
+00:06:44,100 --> 00:06:48,780
+8 من 10 اتجاه ال Y؟ هل بكون قطعت واحد؟ بدا Feet of
+
+72
+00:06:48,780 --> 00:06:55,460
+Horse مثل القانع الزاوية 6 من 10 تربيع زي 8 من 10
+
+73
+00:06:55,460 --> 00:07:03,230
+تربيع تحت الجدق6 من 10 يصبح جدر 36 من 100 أو 8 من
+
+74
+00:07:03,230 --> 00:07:10,690
+10 يصبح جدر 64 من 100 يصبح جدر الواحد ما تساوي
+
+75
+00:07:10,690 --> 00:07:16,780
+الواحد إذا أنا مشيت 6 من 10 في اتجاه الـIأو في
+
+76
+00:07:16,780 --> 00:07:20,940
+اتجاه ال X و 8 من 10 في اتجاه ال Y بيكون ان انا
+
+77
+00:07:20,940 --> 00:07:25,660
+حصلت على قطعة من هذا المتجه قيمتها واحد و في نفس
+
+78
+00:07:25,660 --> 00:07:29,140
+اتجاهها هيك اتجاهها اتجاه ال A زي هيك و القطعة
+
+79
+00:07:29,140 --> 00:07:33,540
+اللي أخدتها انا من نفس المتجه قيمتها واحد في نفس
+
+80
+00:07:33,540 --> 00:07:38,000
+الاتجاه واضح يعني بقدر اقول لو كانت ال A هذا خمسة
+
+81
+00:07:38,000 --> 00:07:44,380
+بقول خمسة في قيمتني ال A هات فاطل عندي صفة المتجه
+
+82
+00:07:45,230 --> 00:07:51,030
+يعني خمسة في هذا في هذا مبتجر اضربه في خمسة يطلع
+
+83
+00:07:51,030 --> 00:07:55,150
+خمس أمثال ويعني خمس أمثال المبتجر بيصير عند
+
+84
+00:07:55,150 --> 00:08:02,350
+المبتجر خيمة و إيه واضح في أي سؤال الآن ال
+
+85
+00:08:02,350 --> 00:08:09,030
+component of vectors يعني في عند مركبات نحن بنتكلم
+
+86
+00:08:09,030 --> 00:08:12,860
+عن ال Cartesian coordinate الآنالـ Cartesian
+
+87
+00:08:12,860 --> 00:08:23,960
+Coordinate ومحور X ومحور Y ومحور Z انا
+
+88
+00:08:23,960 --> 00:08:39,080
+هاخد للتثيير محور X ومحور Y ومحور Z ومحور
+
+89
+00:08:39,080 --> 00:08:41,840
+Y ومحور Z ومحور Z ومحور Z ومحور Z ومحور Z ومحور Z
+
+90
+00:08:41,840 --> 00:08:42,000
+ومحور Z ومحور Z ومحور Z ومحور Z ومحور Z ومحور Z
+
+91
+00:08:42,000 --> 00:08:42,000
+ومحور Z ومحور Z ومحور Z ومحور Z ومحور Z ومحور Z
+
+92
+00:08:42,000 --> 00:08:42,000
+ومحور Z ومحور Z ومحور Z ومحور Z ومحور Z ومحور Z
+
+93
+00:08:42,000 --> 00:08:42,000
+ومحور Z ومحور Z ومحور Z ومحور Z ومحور Z ومحور Z
+
+94
+00:08:42,000 --> 00:08:44,490
+ومحور Z ومحور Z ومحور Z ومحور Z ومحوربهذا الشكل
+
+95
+00:08:44,490 --> 00:08:49,270
+إذا هيكون كأنه ماشي في اتجاه ال X وبعدين ماشي في
+
+96
+00:08:49,270 --> 00:08:53,030
+اتجاه ال Y ماشي طالع في اتجاه ال Y هذه نفس ما قلته
+
+97
+00:08:53,030 --> 00:08:58,970
+ما هقوله متجهة بندر انجر بشكل سهل بندر انجر متجهة
+
+98
+00:08:58,970 --> 00:09:07,900
+قيمته كم متجهة؟مراكبة صينية من اتجاه X ومن اتجاه Y
+
+99
+00:09:07,900 --> 00:09:15,300
+مراكبة صينية من اتجاه X ومن اتجاه Y
+
+100
+00:09:19,230 --> 00:09:23,610
+نقطة أو قيمة في اتجاه ال X و قيمة في اتجاه ال Y
+
+101
+00:09:23,610 --> 00:09:27,710
+وحدات في اتجاه ال X و وحدات في اتجاه ال Y ال AX و
+
+102
+00:09:27,710 --> 00:09:32,430
+ال AY بسميها كمبونات كمبونات ل X و كمبونات ل Y
+
+103
+00:09:32,430 --> 00:09:39,870
+مركبات سينية و مركبات قصة طيب، من هنا، من هنا، هذه
+
+104
+00:09:39,870 --> 00:09:46,000
+الزاوية ثيتا، بدي أكتب المتجة، ده حاجتينقيمته
+
+105
+00:09:46,000 --> 00:09:52,380
+واتجاهه بقيمته خمس متر و بعمل زرعه تلاتين مع اتجاه
+
+106
+00:09:52,380 --> 00:09:56,660
+ال X بكون حددت القيمة و حددت الاتجاه زرعه خمسة
+
+107
+00:09:56,660 --> 00:10:02,420
+وارمين بين ال X و بين ال Y بكون حددت قيمته و حددت
+
+108
+00:10:02,420 --> 00:10:06,820
+اتجاهها من الزرعإذا الزاوية بالاتجاه والقيمة
+
+109
+00:10:06,820 --> 00:10:11,420
+بالأسفل زاوية والقيمة بتحدد المتجهة قيمة واتجاه
+
+110
+00:10:11,420 --> 00:10:15,860
+ممكن أحدده بطريقة تانية بالمواكبات الصينية
+
+111
+00:10:15,860 --> 00:10:20,700
+والمواكبات الصعودية معناه وصلت لوين إذا هذا
+
+112
+00:10:20,700 --> 00:10:26,420
+المتجهة بدرست بالمتجهة أي متجهة عبارة عن ax اتجاه
+
+113
+00:10:26,420 --> 00:10:34,570
+وين زائد ayالمواكبة إقصادية في اتجاه الـY زي
+
+114
+00:10:34,570 --> 00:10:40,750
+المواكبة Z في اتجاه الـK كما الـK والـI الجبانساش
+
+115
+00:10:40,750 --> 00:10:45,790
+اللي هنا بيعبر عن وحدة في اتجاه الـX ووحدة في
+
+116
+00:10:45,790 --> 00:10:49,690
+اتجاه الـY ووحدة في اتجاه الـZ محو الـZ يعني لو
+
+117
+00:10:49,690 --> 00:10:54,790
+كان بيتريد ال Cartesian coordinate في الفراغة وانا
+
+118
+00:10:54,790 --> 00:10:57,710
+فيه متجهة في جسم اتحرك من نقطة البداية ووصل لهنا
+
+119
+00:10:58,430 --> 00:11:04,610
+هذه المتجة إذا بقدر أقول المتجة هيندي هذا X يخي Y
+
+120
+00:11:04,610 --> 00:11:11,370
+و Z لدي اشكمتها إذا اي متجة بقدر أكترها بصورتين هي
+
+121
+00:11:11,370 --> 00:11:18,770
+اما ثيطا للمجنتيود تانتر المجنتيود هذا ال
+
+122
+00:11:18,770 --> 00:11:19,290
+direction
+
+123
+00:11:22,850 --> 00:11:27,590
+بيمو اتجاه او بقدر ارتبه صورة تانية مواكبة سينية
+
+124
+00:11:27,590 --> 00:11:30,890
+او صادرية و المواكبة في اتجاه العين او في اتجاه
+
+125
+00:11:30,890 --> 00:11:37,530
+الزبط طب هل بدأ اجيب المواكبة من الزاوية؟ طبعا لو
+
+126
+00:11:37,530 --> 00:11:42,270
+جينا هنا هذه الزاوية Ax من ثلاث قعر الزاوية فهمر
+
+127
+00:11:42,270 --> 00:11:49,550
+علينا كصين الزاوية وصين الزاوية وتاني الزاوية كصين
+
+128
+00:11:49,550 --> 00:12:01,010
+الزاويةبالعلاقة طبعا هنا كيمته cos θ تسوى ax ع ال
+
+129
+00:12:01,010 --> 00:12:11,880
+a مجاورة ع الوثام طيب منهابقدر اطلع هنا ان a x في
+
+130
+00:12:11,880 --> 00:12:16,240
+الساوية قيمته في cos ازاى اذا ان انا لما اعرف
+
+131
+00:12:16,240 --> 00:12:20,020
+القيمة و انا في الزاوية بقدر اجيبني المواكب ده
+
+132
+00:12:20,020 --> 00:12:23,000
+اللي هي في ال x compiler sin θ
+
+133
+00:12:26,110 --> 00:12:32,550
+مقابل لعبارة عن a y a y على مين المقابل على الوتر
+
+134
+00:12:32,550 --> 00:12:40,650
+اذا a y على قلب ال a نفس الطريقة ال a y بتساوي a
+
+135
+00:12:40,650 --> 00:12:44,850
+sin الزاوية a sin الزاوية
+
+136
+00:12:47,120 --> 00:12:52,280
+الصينية، أستطيع تحذيرها من القيمة للاتجاه إزاي هي
+
+137
+00:12:52,280 --> 00:12:57,120
+عبارة عن اتجاه للرقم اللي أنا باخده الخمسة، العشرة
+
+138
+00:12:57,120 --> 00:12:59,760
+هي ال magnitude إذا ما هو ال magnitude والاتجاه
+
+139
+00:12:59,760 --> 00:13:03,520
+أستطيع تحدد المواكب الصينية والمواكب السعودية طيب
+
+140
+00:13:03,520 --> 00:13:06,740
+يعني بمعنى آخر، أنا أستطيع تحول الصورة، مش هذه
+
+141
+00:13:06,740 --> 00:13:10,810
+الصورة المتجرةوهذه الصورة المتجة تستطيع تحويل من
+
+142
+00:13:10,810 --> 00:13:14,370
+صورة لصورة تانية يعني اذا اعطيتك المتجة تستطيع
+
+143
+00:13:14,370 --> 00:13:19,090
+ترتيب هذه الصورة اكس بجيبها الي بجيبها وبعدها
+
+144
+00:13:19,090 --> 00:13:25,470
+المتجة بدلالة مواكبة C او مواكبة اكس صحيح يعني لو
+
+145
+00:13:25,470 --> 00:13:32,590
+قلتلك المتجة اعطيتك هذه المتجة طريقة ال AXAX
+
+146
+00:13:32,590 --> 00:13:36,990
+المركب الصيني زائد ال AY قلت لك هاي المنتجة و جيب
+
+147
+00:13:36,990 --> 00:13:42,370
+لقيمته قد أيش لقيمه قد أيش مباشرة في تراث حد
+
+148
+00:13:42,370 --> 00:13:47,030
+لقيمته يعني انه يتحول من هذه الصورة لهذه الصورة
+
+149
+00:13:47,030 --> 00:13:53,810
+قيمته ايش بتساوي AX تربيع زائد AY تربيع تحت الجدر
+
+150
+00:13:55,310 --> 00:13:58,650
+فيتر ارص محبع الاول ومحبع الدولة الاول ومحبع
+
+151
+00:13:58,650 --> 00:14:05,010
+الدولة التالت طب لو قلتلك احسب ال direction هتقول
+
+152
+00:14:05,010 --> 00:14:10,270
+ال direction بدي اجيبها من تان الزاوية تان الزاوية
+
+153
+00:14:10,270 --> 00:14:17,430
+اذا كنت تطلع الزاوية تان فيتر ايش هتساوي عندك تان
+
+154
+00:14:17,430 --> 00:14:29,180
+فيتر هتيجي تقولي Ayعلى a x ومنها مباشرة بقدر اجيب
+
+155
+00:14:29,180 --> 00:14:40,060
+shift of tan tan inverse ل a y على a x هي ثيتا اذا
+
+156
+00:14:40,060 --> 00:14:47,780
+انت تقدر تطلع ال magnitude و ال directionمن خلال
+
+157
+00:14:47,780 --> 00:14:51,660
+معرفتي أو كتابتي المتجة عن طريق المراكب الصينية
+
+158
+00:14:51,660 --> 00:14:54,620
+والمراكب الصادية لان انا بقدر احواله من صورة لصورة
+
+159
+00:14:54,620 --> 00:14:58,580
+تانية او اذا اعطاني المتجة بمراكبات مراكب الصينية
+
+160
+00:14:58,580 --> 00:15:07,740
+ومراكب الصادية بقدر اجيب قيم توجيب اتجاهي ناخد
+
+161
+00:15:07,740 --> 00:15:14,880
+مثال على هالكلام لو
+
+162
+00:15:14,880 --> 00:15:23,800
+المثال موجود عندننطلع فيه جبل و نجرح و نشوف إيش
+
+163
+00:15:23,800 --> 00:15:24,200
+بده
+
+164
+00:15:36,760 --> 00:15:41,680
+بقول في ال vector ايه؟ بيقع في مين؟ في ال X Y
+
+165
+00:15:41,680 --> 00:15:46,760
+plane يعني في عندك ارتيزة كواربينيت بس لتثيير اللي
+
+166
+00:15:46,760 --> 00:15:53,600
+في ال X وY ال magnitude إيه؟ خمسين units خمسين
+
+167
+00:15:53,600 --> 00:16:00,870
+وحدة، وحدة المستخدمدرجة الهو بيعشرين يعني درجة اله
+
+168
+00:16:00,870 --> 00:16:08,570
+هي ثيتا ثيتا بتساوي مائة و عشرين المجموعات بيساوي
+
+169
+00:16:08,570 --> 00:16:14,790
+خمسين وحدة المطمئنين
+
+170
+00:16:14,790 --> 00:16:20,170
+منها component rectangular components
+
+171
+00:16:23,150 --> 00:16:29,070
+و AY يعني بدك تجيبليمُعكّبة الصينية مُعكّبة الـ X
+
+172
+00:16:29,070 --> 00:16:33,510
+الـ X component و الـ Y component خلّينا قبل شوية
+
+173
+00:16:33,510 --> 00:16:38,830
+يعني أعطاني المتجه بحاجتين بقيمة و اتجاه و دلوقتي
+
+174
+00:16:38,830 --> 00:16:42,610
+أحوّل من صورة لصورة تانية يعني أعطاني فيتا و
+
+175
+00:16:42,610 --> 00:16:47,310
+أعطاني الـ A فيتا بالسوء 120 و الـ A بالسوء 50
+
+176
+00:16:47,310 --> 00:16:55,010
+units جالس جيب الـ AX أو اكتبوا على صورة الـ AX
+
+177
+00:16:56,010 --> 00:17:06,950
+زائد أي ماذا
+
+178
+00:17:06,950 --> 00:17:16,510
+اول حاجة برجع
+
+179
+00:17:16,510 --> 00:17:23,320
+بس شويهبدأ أجيب الـ ax هي عبارة كتبناها الآن عبارة
+
+180
+00:17:23,320 --> 00:17:31,540
+عن a cos الزاوية ال a عطلية 50 والزاوية 120 زي 50
+
+181
+00:17:31,540 --> 00:17:38,260
+cos 120 تطلع ال cos إيه؟ بالسالب ذاكرين؟ عندي أربع
+
+182
+00:17:38,260 --> 00:17:46,300
+أرباع هنا هنا موجب عند الساعد و ال cosine و التاني
+
+183
+00:17:47,020 --> 00:17:57,160
+فاكرين كل جبار هنا الـSin ثيتا هنا الـCos جتهب هنا
+
+184
+00:17:57,160 --> 00:18:06,620
+فقط بيكون كل جبار ظالم كل بسيط هنا الضعف التاني
+
+185
+00:18:06,620 --> 00:18:15,580
+هنا الـCos هنا الـSin والـCos والتاني وجب هنا فقط
+
+186
+00:18:16,600 --> 00:18:21,480
+الـSin هو الموجب هنا التاني الموجب هنا الـCos عنده
+
+187
+00:18:21,480 --> 00:18:26,380
+الموجب والباقي سوالب يعني الـSin موجب الكسان
+
+188
+00:18:26,380 --> 00:18:30,680
+والتاني سالب سالب هنا عنده هنا التاني والسالب
+
+189
+00:18:30,680 --> 00:18:35,460
+والكسان سالب هنا الكسان والباقي معاهم سالب سالب
+
+190
+00:18:35,460 --> 00:18:42,640
+إذا هنا الـCos الـ120 إشارتها نفسها سالب كسان
+
+191
+00:18:42,640 --> 00:18:43,360
+الستين
+
+192
+00:18:50,980 --> 00:19:00,180
+الصين هنا عبارة عن صين الستين اذا
+
+193
+00:19:00,180 --> 00:19:07,450
+أردت اكتب ال vector هو عبارة عن25 unit في اتجاه ال
+
+194
+00:19:07,450 --> 00:19:11,390
+I اشارتها بالسالب هي منطقية باتجاه انا وانت باتجاه
+
+195
+00:19:11,390 --> 00:19:16,830
+السالب لان انا عنده I ماهيش سالب I زائد كده عنده
+
+196
+00:19:16,830 --> 00:19:25,110
+في اتجاه ال Y عندي 43.3 في اتجاه ال Y لذالك هذا هو
+
+197
+00:19:25,110 --> 00:19:29,490
+المتجة كتبته بصورة كارتيزيا او بصورة المراكبات
+
+198
+00:19:29,490 --> 00:19:32,190
+المراكبة السينية او المراكبة الصعودية
+
+199
+00:19:35,650 --> 00:19:39,890
+نرجح كمان مرة بيقول جمعنا ال vector لكن جمعناها
+
+200
+00:19:39,890 --> 00:19:43,570
+الأولى بطريقة graphical method الرسم نقلنا ال
+
+201
+00:19:43,570 --> 00:19:46,830
+vector الأولان ال vector التاني الآن مابديش أنقل
+
+202
+00:19:46,830 --> 00:19:56,170
+مابدي أجيب ال vectorو أجمعه بطريقة تانية الجبريك
+
+203
+00:19:56,170 --> 00:20:00,230
+يعني بجمع الجبريك أجمع ال X component مع بعض و Y
+
+204
+00:20:00,230 --> 00:20:03,070
+component مع بعض و أشوف المعكبات اللي بتطلع من هاي
+
+205
+00:20:03,070 --> 00:20:09,440
+كيف ممكن أنا أحسبها لو أنا فيه Vector Aالـ Vector
+
+206
+00:20:09,440 --> 00:20:14,980
+A بيساوي Ax إتجاه I زائد Ay في إتجاه الجهة والـ
+
+207
+00:20:14,980 --> 00:20:20,220
+Vector B هو معكّمة سينية Bx في إتجاه I ومعكّمة
+
+208
+00:20:20,220 --> 00:20:27,340
+وسادية By في إتجاه الجهة الآن لو قلت لك A زائد B
+
+209
+00:20:28,800 --> 00:20:33,520
+أيش هتروح تعمل؟ هتجمع الـA مع بعض والـB مع بعض
+
+210
+00:20:33,520 --> 00:20:41,040
+هتجمع عبارة عن AX زائد BX المواكبات السينية متشابه
+
+211
+00:20:41,040 --> 00:20:49,180
+مع بعض زائد AY زائد BY جمعتهم مع بعض اتجاههم وين
+
+212
+00:20:49,180 --> 00:20:54,740
+في اتجاه الـY يعني كأنه عندك متجه أولاني هى هذا A
+
+213
+00:20:54,740 --> 00:20:57,060
+وفي عندك متجه تاني هذا B
+
+214
+00:21:03,290 --> 00:21:10,230
+هذه المتجهة A وهذه المتجهة B محصلتها
+
+215
+00:21:10,230 --> 00:21:19,390
+هتكون هذه لو جينا هنا عند هنا AX وهنا AY AY هيهم
+
+216
+00:21:19,390 --> 00:21:27,350
+هذا له كمان مفتوح
+
+217
+00:21:27,350 --> 00:21:38,400
+البداية له BX وهنابي ننقل البي وهي البي وهي
+
+218
+00:21:38,400 --> 00:21:45,740
+ال بي اكس زمارة
+
+219
+00:21:45,740 --> 00:21:51,000
+اسرية عبارة عن ax مجموعة لها بي اكس هذا في اتجاه
+
+220
+00:21:51,000 --> 00:21:57,760
+الاي او في اتجاه الاكس هنا ay مجموعة لها بي في
+
+221
+00:21:57,760 --> 00:22:03,490
+اتجاهمحور الـ Y إذا جمعت المتجهة H بقدر أجمع
+
+222
+00:22:03,490 --> 00:22:09,250
+المراكبات يتشابه مع بعض مثلًا لو أطرح المتجهة هنا
+
+223
+00:22:09,250 --> 00:22:16,190
+يعني A ناقص B ما أريد أن أضع هنا ناقص ناقص يعني A
+
+224
+00:22:16,190 --> 00:22:21,330
+زائد B أو A ناقص B اللي هو عبارة عن الجمع بس أريد
+
+225
+00:22:21,330 --> 00:22:25,970
+أن أعكس المتجهة لأن هو إلى أعلى سيكون إلى أسفل
+
+226
+00:22:33,580 --> 00:22:40,120
+بناخد مثال على جمع المتجهات في عند المتجهة
+
+227
+00:22:40,120 --> 00:22:44,960
+قيمته 4
+
+228
+00:22:44,960 --> 00:22:51,110
+في اتجاه الـ X و 3 في اتجاه الـ Yالـ Y ومن تجاه
+
+229
+00:22:51,110 --> 00:22:55,150
+التاني الـ BND سالم تلاتة في اتجاه محور X والسبعة
+
+230
+00:22:55,150 --> 00:23:01,290
+في اتجاه محور Y والمطلوب ان اجيب resultant vector
+
+231
+00:23:01,290 --> 00:23:07,570
+او محاصلة لل vector او جمع A زائد D بضروح الشعمال
+
+232
+00:23:07,570 --> 00:23:15,870
+اكتب ال vector الأولاني عبارة عن 4 زائد 3 في اتجاه
+
+233
+00:23:17,130 --> 00:23:23,830
+ب ساول ثالث تلاتة تجاه محور X وعندي سبعة تجاه محور
+
+234
+00:23:23,830 --> 00:23:34,090
+Y A زائد B بيساو كنان مضان بيجمعهم هتلاع عندي أربع
+
+235
+00:23:34,090 --> 00:23:39,530
+زائد ثالث تلاتة هتلاع عندي واحد في اتجاه محور X
+
+236
+00:23:39,530 --> 00:23:47,880
+زائد ثلاثة وسبعة عشرة في اتجاه محور Yلو انا بدي
+
+237
+00:23:47,880 --> 00:23:53,240
+اضطحهم ا ناقص بيه مباشرة اربع ناقص ناقص تلاتة
+
+238
+00:23:53,240 --> 00:23:58,610
+بيطلع يجي السبعةتجاه نحو الـ I زائد اللي هو
+
+239
+00:23:58,610 --> 00:24:03,610
+التلاتة ناقص سبعة لعنده ناقص أربعة في اتجاه نحو ال
+
+240
+00:24:03,610 --> 00:24:06,590
+I ممكن أجيب .. أشيل الإشارة السالية الموجة اللي
+
+241
+00:24:06,590 --> 00:24:09,850
+بتاعتني لذا هي عبارة عن جمعه لو كنت اللي بيحسب ال
+
+242
+00:24:09,850 --> 00:24:14,730
+magnitude و ال direction ال magnitude قيمته بجيب
+
+243
+00:24:14,730 --> 00:24:20,210
+مربع المراكبة السنية زي المراكبة الصعودية و كذلك
+
+244
+00:24:21,490 --> 00:24:25,230
+بنفس الكيفية بجيب واطرح الـ two vector مربع
+
+245
+00:24:25,230 --> 00:24:30,030
+المهتبة السينية او المهتبة ال X component زاد ال Y
+
+246
+00:24:30,030 --> 00:24:34,650
+component square طبعا هذه عملية جمع ال two vector
+
+247
+00:24:34,650 --> 00:24:40,630
+ناخد كمان vectors ونشوف كميات فيزيائية
+
+248
+00:24:40,630 --> 00:24:48,290
+displacement في عند جسم تعرض لتلتإزاحات متتالية
+
+249
+00:24:48,290 --> 00:24:54,370
+تلت إزاحات متتالية الإزاحة الأولى دي واحد الإزاحة
+
+250
+00:24:54,370 --> 00:24:58,570
+التانية دي تلت أو بدي أجيب المحصن أو بدي أجيب
+
+251
+00:24:58,570 --> 00:25:06,110
+الإزاحة الكلية لهذا الجسم الإزاحة الكلية أول حاجة
+
+252
+00:25:06,110 --> 00:25:09,670
+دي واحد و دي اتنين و دي تلاتة دي واحد و دي اتنين و
+
+253
+00:25:09,670 --> 00:25:15,490
+دي تلاتة بحطهم تحت بعض وبعدين أجمعهم باجمع ال I مع
+
+254
+00:25:15,490 --> 00:25:21,880
+بعضهيطلع عند واحد زائد اتنين سالب واحد واحد زائد
+
+255
+00:25:21,880 --> 00:25:26,000
+اتنين سالب واحد في اتجاه ال I بعدين هجمع ال Y مع
+
+256
+00:25:26,000 --> 00:25:31,380
+بعض تلاتة و سالب واحد و واحد تلاتة و سالب واحد و
+
+257
+00:25:31,380 --> 00:25:35,140
+واحد وطلع عند تلاتة في اتجاه ال Y بعدين عند
+
+258
+00:25:35,140 --> 00:25:40,800
+المحصلة الأخيرة او لزاحةالذي في اتجاه الـ Z اللي
+
+259
+00:25:40,800 --> 00:25:46,960
+يسار الواحد زائد سارة وتلاتة زائد Zero في اتجاه
+
+260
+00:25:46,960 --> 00:25:53,930
+الـ Kبالتالي لدي سالب واحد سالب تلاتة وزيرو سالب
+
+261
+00:25:53,930 --> 00:26:01,550
+واحد سالب تلاتة وزيرو سالب تلاتة وزيرو سالب تلاتة
+
+262
+00:26:01,550 --> 00:26:10,910
+وزيرو سالب تلاتة وزيرو سالب تلاتة وزيرو سالب تلاتة
+
+263
+00:26:10,910 --> 00:26:15,050
+وزيرو سالب تلاتة وزيرو سالب تلاتة وزيرو سالب تلاتة
+
+264
+00:26:15,050 --> 00:26:15,050
+وزيرو سالب تلاتة وزيرو سالب تلاتة وزيرو سالب تلاتة
+
+265
+00:26:15,050 --> 00:26:22,050
+وزيروزاها قيمته ممكن احسبها اللي عبارة عن جدر
+
+266
+00:26:22,050 --> 00:26:30,310
+القيمة جدر 2 تربيه زائد 3 كربيه زائد سالب 4 تربيه
+
+267
+00:26:30,310 --> 00:26:35,390
+هاي قيمته اتجاهه المواكب في اتجاه ال X و Y بالتر
+
+268
+00:26:35,390 --> 00:26:42,050
+حد مكانه بعدين انت اللي هو رحلة القياس بالصانتمتر
+
+269
+00:26:47,000 --> 00:26:56,420
+ناخد كمان مثال انه
+
+270
+00:26:56,420 --> 00:27:00,460
+اندر بو ارتيكل برضه اتعرض لإذاحات بس فى طريق الرسم
+
+271
+00:27:00,460 --> 00:27:08,280
+اندر مجموعة من الإذاحات اعطاني
+
+272
+00:27:08,280 --> 00:27:12,040
+ال direction يعني اعطاني المثال القبل اعطانيه على
+
+273
+00:27:12,040 --> 00:27:18,560
+Xwhy is it يعني أعطاني ككمبونر هذا السؤال أعطاني
+
+274
+00:27:18,560 --> 00:27:24,960
+كقيمة واتجاه قال الأول إزاحة عندك أربعة تلاتة من
+
+275
+00:27:24,960 --> 00:27:31,860
+عشرة متر southeast يعني بعمل زاوية قيمتها خمسة
+
+276
+00:27:31,860 --> 00:27:37,960
+واربعين هذا الزاوية للإزاحة الأولى قيمتها خمسة
+
+277
+00:27:37,960 --> 00:27:44,110
+واربعينيعني زاوية واحد خمس و أربع بعدين اتحرك لمن؟
+
+278
+00:27:44,110 --> 00:27:49,250
+لل East لل East يعني زاوية Zero يعني كانت في تجاه
+
+279
+00:27:49,250 --> 00:27:55,530
+ال I او في تجاه ال X قيمتها كم اعطانيها؟ 2.4 متر
+
+280
+00:27:55,530 --> 00:28:02,050
+دي واحد 4.3 اعطانيه قيمة و دي واحد اعطانيه قيمته 2
+
+281
+00:28:02,050 --> 00:28:09,490
+.4 و بعدين جال يتحرك لل North كم قيمتها North؟يعني
+
+282
+00:28:09,490 --> 00:28:15,170
+ازايتها تسعين درجة للارض بقيمة قيمتها خمسة point
+
+283
+00:28:15,170 --> 00:28:20,250
+اتنين لان باجي بكتب ال vector الأولاني ان دي واحد
+
+284
+00:28:20,250 --> 00:28:25,650
+ك X component و Y component دي واحد ازاى معروف عند
+
+285
+00:28:25,650 --> 00:28:30,190
+خمسة واربعين هو القيمة معروفة بندربي الأربعة point
+
+286
+00:28:30,190 --> 00:28:36,430
+تلاتة القيمة في cosine الخمسة واربعين cosine
+
+287
+00:28:36,430 --> 00:28:44,200
+الخمسة واربعينماأنساش سالب في اتجاه ال I اسف سالب
+
+288
+00:28:44,200 --> 00:28:53,220
+4.3 سائل من 45 سائل اتجاهها لانها اتكلم عن زاوية
+
+289
+00:28:53,220 --> 00:28:57,700
+دي كلها او في الربع الأخرى الربع الأخرى ال minimum
+
+290
+00:28:57,700 --> 00:29:03,850
+كل موجة بس ال cosine لان هذا الاصل قبلهقص الصالب
+
+291
+00:29:03,850 --> 00:29:08,010
+لإن Y بيتكلم زاوية من بداية محور X تطلع قيمتها
+
+292
+00:29:08,010 --> 00:29:11,350
+بالصالب عشان هي تحطت الصالب لإن الصالب من 45 موجة
+
+293
+00:29:11,350 --> 00:29:15,690
+وهنا في الربع الأخير الصالب بتكون قيمتها بالصالب
+
+294
+00:29:15,690 --> 00:29:22,490
+دي اتنين فقط اله اتنين وأربعة من عشرة في اتجاه ال
+
+295
+00:29:22,490 --> 00:29:28,550
+Y زائد Zero في اتجاه ال Y دي تلاتة مالهاش في اتجاه
+
+296
+00:29:28,550 --> 00:29:31,730
+ال X لكن انها في اتجاه ال Y خمسة point اتنين
+
+297
+00:29:36,560 --> 00:29:44,060
+والان D1 المحصر له زائد D2 كمتجهة جمع اتجاه D3 ايش
+
+298
+00:29:44,060 --> 00:29:49,820
+بدنا نعمل؟ بدنا نجمع هدولها مع بعض اتجاه I ونجمع
+
+299
+00:29:49,820 --> 00:29:54,060
+هدولها مع بعض اتجاه محور Y هيطلع عندك 4 3 من 10
+
+300
+00:29:54,060 --> 00:30:01,960
+كسايم من 5 و41 أجدر 2 اذا 4 3 من 10 على جدر 2 زائد
+
+301
+00:30:01,960 --> 00:30:09,080
+2.4 زائد Zero طبعاوهنا سيكون عندى سالب 4.3 على جذر
+
+302
+00:30:09,080 --> 00:30:12,460
+الاتنين لان اصينا 45 واحد على جذر الاتنين مش عارف
+
+303
+00:30:12,460 --> 00:30:20,240
+سالبه هنا 0 زاد 0 زاد 5.2 وبجمعهم وبطلع النتيجة
+
+304
+00:30:20,240 --> 00:30:24,240
+وبعد ذلك بطلع هذه قيمة النتيجة اللى بتطلع معايا 5
+
+305
+00:30:24,240 --> 00:30:25,200
+.4
+
+306
+00:30:28,660 --> 00:30:32,500
+4 في اتجاه ال I و 12 و 16 و 10 في اتجاه ال J بقدر
+
+307
+00:30:32,500 --> 00:30:35,760
+اجيب ال magnitude بهذه القيمة و بقدر اجيب ال
+
+308
+00:30:35,760 --> 00:30:41,040
+direction magnitude جدر المواكب السينية تربيع زي
+
+309
+00:30:41,040 --> 00:30:45,900
+ال Y component square و بقدر اجيب القيمة
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/GN8UmQFp-5c.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/GN8UmQFp-5c.srt
new file mode 100644
index 0000000000000000000000000000000000000000..55709afe94d36b1459ea16b08fa28e991747f340
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/GN8UmQFp-5c.srt
@@ -0,0 +1,1011 @@
+1
+00:00:05,300 --> 00:00:08,560
+السلام عليكم وعطاكم العافية اليوم إن شاء الله
+
+2
+00:00:08,560 --> 00:00:13,220
+نكمل في chapter ثلاثة، chapter ثلاثة شبيه في chapter
+
+3
+00:00:13,220 --> 00:00:18,520
+اثنين، أنا أتحدث عن حركة plan up motion، الحركة في
+
+4
+00:00:18,520 --> 00:00:22,200
+مستوى لأن chapter السابق كان عندي الذي هو
+
+5
+00:00:22,200 --> 00:00:27,340
+الحركة في خط مستقيم في one dimension، يعني أقول جسم
+
+6
+00:00:27,340 --> 00:00:32,280
+عندي، النقطة A انتقل بهذا الشكل في اتجاه الـ X و
+
+7
+00:00:32,280 --> 00:00:35,840
+رجع في اتجاه الـ X، وتحرك فقط في اتجاه الـ X لكن
+
+8
+00:00:35,840 --> 00:00:41,200
+الآن ممكن جسم آخر كان يتحرك في اتجاه الـ Y لحاله
+
+9
+00:00:41,200 --> 00:00:44,960
+مثل الـ free falling، لكن الآن ممكن جسم يتحرك في
+
+10
+00:00:44,960 --> 00:00:50,960
+اتجاه الـ X واتجاه الـ Y في مستوى، الجسم كان عند
+
+11
+00:00:50,960 --> 00:00:58,600
+النقطة A أو الـ origin، صار عند النقطة B، يعني
+
+12
+00:00:58,600 --> 00:01:04,280
+انتقل من النقطة A للنقطة B، ووصل إزاحة من النقطة A
+
+13
+00:01:04,280 --> 00:01:08,760
+النقطة B، هذه الإزاحة، ووصل إزاحة في اتجاه الـ X
+
+14
+00:01:08,760 --> 00:01:14,740
+ووصل إزاحة في اتجاه الـ Y، هذا لو سميناه vector A أو
+
+15
+00:01:14,740 --> 00:01:21,020
+position vector A، سيكون عنده هنا Ax، شفتر واحد، و Ay
+
+16
+00:01:22,520 --> 00:01:26,740
+إزاحة في اتجاه الـ X وإزاحة في اتجاه الـ Y، كل شيء
+
+17
+00:01:26,740 --> 00:01:31,080
+في اتجاه الـ X يتبع قوانين الثلاثة المذكورة  عندنا في
+
+18
+00:01:31,080 --> 00:01:36,980
+chapter اثنين، يعني لو جئنا نذكر، في إزاحة كانت
+
+19
+00:01:36,980 --> 00:01:44,300
+الإزاحة، التغير في الـ X، بتساوي X final ناقص X
+
+20
+00:01:44,300 --> 00:01:50,150
+initial، لو قلت هنا X initial و Y initial، وهذه كانت
+
+21
+00:01:50,150 --> 00:01:54,550
+الـ origin، مثلاً كمثال (0،0)، دلتا X بيساوي X final ناقص
+
+22
+00:01:54,550 --> 00:02:00,490
+X initial، الآن في اتجاه واحد، لكن الآن أقول
+
+23
+00:02:00,490 --> 00:02:08,090
+فيه أن كمان Delta Y بيساوي Y final ناقص Y initial
+
+24
+00:02:09,950 --> 00:02:14,610
+الآن ممكن أقول هذا position vector الذي هو النقطة
+
+25
+00:02:14,610 --> 00:02:18,570
+عند الـ P، يمثل position vector، إزاحة في اتجاه الـ X
+
+26
+00:02:18,570 --> 00:02:24,290
+وإزاحة في اتجاه الـ Y، هذا الكلام اليوم نقوله في
+
+27
+00:02:24,290 --> 00:02:31,150
+عند جسم كان عند النقطة A initial، وصار عند النقطة
+
+28
+00:02:31,150 --> 00:02:37,950
+final، صار له إزاحة في اتجاه الـ X، وصار له إزاحة في
+
+29
+00:02:37,950 --> 00:02:42,510
+اتجاه الـ Y، هذه الإزاحة في اتجاه، هذه نسميها
+
+30
+00:02:42,510 --> 00:02:47,010
+كانت X initial، وهذه X final، هذا كمان إزاحة في اتجاه
+
+31
+00:02:47,010 --> 00:02:53,110
+الـ Y، هذه عندها Y initial، يعني هذا له X initial و Y
+
+32
+00:02:53,110 --> 00:03:00,630
+initial، وهذا له X final و Y final، صارت الإزاحة في
+
+33
+00:03:00,630 --> 00:03:06,220
+اتجاهين بدل ما كانت في اتجاه واحد، هذا النقطة متجه
+
+34
+00:03:06,220 --> 00:03:12,440
+الـ position vector R initial، وهذا متجه الـ final
+
+35
+00:03:12,440 --> 00:03:18,720
+position،  الموضوع النهائي R final، الإزاحة تمت من
+
+36
+00:03:18,720 --> 00:03:24,520
+initial إلى final، التي هي delta R، R initial طبعاً
+
+37
+00:03:24,520 --> 00:03:30,500
+لها مركبة في اتجاه الـ X، X initial، و Y initial، لما
+
+38
+00:03:30,500 --> 00:03:35,380
+نكتب أي vector، المعركة الصينية والمعركة الاقتصادية
+
+39
+00:03:35,380 --> 00:03:45,680
+Y final، لها X final ولها Y final، الآن
+
+40
+00:03:45,680 --> 00:03:49,400
+التغيير في الـ position، Delta R، هو عبارة عن vector
+
+41
+00:03:49,400 --> 00:03:51,680
+displacement
+
+42
+00:03:52,910 --> 00:03:58,550
+R final ناقص R initial، R final ناقص R initial
+
+43
+00:03:58,550 --> 00:04:02,750
+عبارة عن طرح vector، ماذا تريد أن تقول؟ X final ناقص X
+
+44
+00:04:02,750 --> 00:04:08,530
+initial، كأني تعاملت مع المركبات الصينية لحالها، و R و
+
+45
+00:04:08,530 --> 00:04:14,520
+مع الـ Y component لحالها، ماذا سيحدث عندك؟ X final
+
+46
+00:04:14,520 --> 00:04:19,600
+ناقص X initial في الـ X component، و Y final ناقص Y
+
+47
+00:04:19,600 --> 00:04:23,860
+initial في الـ Y component، إذن هي عبارة عن delta X
+
+48
+00:04:23,860 --> 00:04:29,480
+و delta Y، لو رجعنا الـ delta X في one dimension كنت
+
+49
+00:04:29,480 --> 00:04:33,040
+أتعامل مع اتجاه الـ X، أقول كمثال، أي أشهر velocity
+
+50
+00:04:33,040 --> 00:04:37,660
+تجيبها؟ أقول X final ناقص X initial على T final
+
+51
+00:04:37,660 --> 00:04:42,910
+ناقص T initial، لأنها one dimension، هذا vector لكن
+
+52
+00:04:42,910 --> 00:04:46,470
+في اتجاه من؟ في اتجاه الـ X، لما قلت أجيب الـ average
+
+53
+00:04:46,470 --> 00:04:49,790
+velocity في اتجاه الـ Y، أقول نفس الطريقة في اتجاه
+
+54
+00:04:49,790 --> 00:04:54,310
+الـ Y، Y final ناقص Y initial على T final ناقص T
+
+55
+00:04:54,310 --> 00:04:58,850
+initial، هذا الكلام سنبدأه الآن، إذا أول شيء جئت
+
+56
+00:04:58,850 --> 00:05:03,630
+بالإزاحة، الـ average، الـ displacement للجسيم
+
+57
+00:05:03,630 --> 00:05:09,520
+الذي كان عند النقطة أو عند الـ initial، وصار عند
+
+58
+00:05:09,520 --> 00:05:12,140
+الـ final، الـ displacement الذي هو هذه الـ
+
+59
+00:05:12,140 --> 00:05:15,400
+displacement، الإزاحة، من initial إلى final، دلتا
+
+60
+00:05:15,400 --> 00:05:19,900
+R، حسبتها وطلعت، لما أجيب، أحسب الـ average
+
+61
+00:05:19,900 --> 00:05:23,920
+velocity، نفس الكلام، كأنه إزاحة في اتجاه الـ X، هذه
+
+62
+00:05:23,920 --> 00:05:28,780
+الـ X، إزاحة مثل هذه، هذه دلتا X التي تمثل عند
+
+63
+00:05:28,780 --> 00:05:34,020
+النقطة، دلتا X التي هي X final ناقص X initial، وهنا
+
+64
+00:05:34,020 --> 00:05:40,840
+Delta Y، Y final ناقص Y initial، و Y final ناقص Y
+
+65
+00:05:40,840 --> 00:05:45,360
+initial، وأجيب قيمتها، لذا أجيب X final ناقص X
+
+66
+00:05:45,360 --> 00:05:50,780
+initial، و Y final ناقص Y initial، لذا V الـ
+
+67
+00:05:50,780 --> 00:05:54,020
+average value بتساوي تغير في الـ displacement على
+
+68
+00:05:54,020 --> 00:05:58,180
+التغير في T، تلاحظون أن الـ V vector والـ R
+
+69
+00:05:58,180 --> 00:06:01,820
+displacement vector، إذا في عندي تغير في الـ X
+
+70
+00:06:01,820 --> 00:06:06,780
+بالنسبة للـ T في اتجاه الـ X وفي اتجاه الـ Y، كأنه هذه
+
+71
+00:06:06,780 --> 00:06:10,560
+average velocity في اتجاه الـ X، وهذه average
+
+72
+00:06:10,560 --> 00:06:16,140
+velocity في اتجاه الـ Y، ولو جئت للـ instantaneous
+
+73
+00:06:16,140 --> 00:06:19,420
+velocity
+
+74
+00:06:19,420 --> 00:06:27,260
+تعريفها كالتالي، عارفينها هي التغير في من؟ التغير في الـ X
+
+75
+00:06:27,260 --> 00:06:34,320
+بنسبه لـ Delta T، تقول لمن؟ لـ Zero، الـ Delta T تقول
+
+76
+00:06:34,320 --> 00:06:40,760
+لـ Zero، قلنا هي الـ derivative، لذا V كانت تساوي
+
+77
+00:06:40,760 --> 00:06:49,420
+في اتجاه الـ X، DX على DT، التغير في الـ X، تغير في
+
+78
+00:06:49,420 --> 00:06:53,200
+الإزاحة في اتجاه الـ X، بالنسبة للإزاحة في اتجاه الـ
+
+79
+00:06:53,200 --> 00:06:58,760
+X بالنسبة للـ T، الآن لو قلت الـ V في two dimension
+
+80
+00:06:58,760 --> 00:07:04,220
+أقول أنه هي مشتقة الإزاحة بالنسبة للـ T، مشتقة
+
+81
+00:07:04,220 --> 00:07:07,620
+الإزاحة، لما أشتق vector، أشتق الـ X component والـ Y
+
+82
+00:07:07,620 --> 00:07:10,580
+component، هي الـ instantaneous velocity في اتجاه الـ
+
+83
+00:07:10,580 --> 00:07:16,080
+X، و instantaneous velocity في اتجاه الـ Y، لو جئت
+
+84
+00:07:16,080 --> 00:07:19,700
+بنفس الكيفية، أتحدث عن الـ average والـ
+
+85
+00:07:19,700 --> 00:07:23,320
+instantaneous، الـ average أيضاً نعرفها معدل أو
+
+86
+00:07:23,320 --> 00:07:25,800
+متوسط، والـ instantaneous اللحظية
+
+87
+00:07:27,510 --> 00:07:30,590
+الـ acceleration، الـ average acceleration هو الـ
+
+88
+00:07:30,590 --> 00:07:33,030
+acceleration، من نفس الكيفية، الـ average
+
+89
+00:07:33,030 --> 00:07:37,610
+acceleration هي التغير في الـ V بالنسبة للـ T، وهي
+
+90
+00:07:37,610 --> 00:07:41,590
+التغير طبعاً في، التغير في الـ vector V، acceleration
+
+91
+00:07:41,590 --> 00:07:48,430
+vector، و V معها vector، على التغير في الـ time، DVX
+
+92
+00:07:48,430 --> 00:07:53,540
+أو Delta VX على Delta T، السرعة في اتجاه الـ X، تغير
+
+93
+00:07:53,540 --> 00:07:56,400
+السرعة في اتجاه الـ X، وتغير السرعة في اتجاه الـ Y
+
+94
+00:07:56,400 --> 00:08:00,220
+كذلك الـ acceleration، الـ acceleration، الـ acceleration
+
+95
+00:08:00,220 --> 00:08:01,700
+الـ acceleration، الـ acceleration، الـ acceleration، الـ acceleration
+
+96
+00:08:01,700 --> 00:08:02,920
+الـ acceleration، الـ acceleration، الـ acceleration، الـ acceleration
+
+97
+00:08:02,920 --> 00:08:03,480
+الـ acceleration، الـ acceleration، الـ acceleration، الـ acceleration
+
+98
+00:08:03,480 --> 00:08:04,500
+الـ acceleration، الـ acceleration، الـ acceleration، الـ acceleration
+
+99
+00:08:04,500 --> 00:08:11,300
+الـ acceleration، الـ acceleration، الـ acceleration، الـ acceleration
+
+100
+00:08:16,410 --> 00:08:19,550
+حاجة تمثل التغير في اتجاه الـ X، والتغير في اتجاه
+
+101
+00:08:19,550 --> 00:08:24,230
+الـ Y، لو أنا قلت هذا الجسم رميته، قذفته بهذا الشكل
+
+102
+00:08:24,230 --> 00:08:31,570
+صار فيه عندي تغير، الجسم يطلع في اتجاه، ليه يكون
+
+103
+00:08:31,570 --> 00:08:36,030
+في اتجاه الـ Y، وبعدين ينزل في اتجاه الـ Y، كذلك
+
+104
+00:08:36,030 --> 00:08:39,910
+اتحرك في الـ X من هذه النقطة لهذه النقطة، كأنه صار
+
+105
+00:08:39,910 --> 00:08:43,290
+له إزاحة، وصل لهذه النقطة، صار له إزاحة في اتجاه
+
+106
+00:08:43,290 --> 00:08:46,930
+الـ X، وصار له إزاحة، تغير في الإزاحة في اتجاه الـ Y
+
+107
+00:08:46,930 --> 00:08:50,970
+لو قلت عندي نقطة، هنا رميته ووصل لهذه النقطة، صار
+
+108
+00:08:50,970 --> 00:08:55,630
+له تغير في اتجاه الـ Y، وتغير في اتجاه الـ X، طبعاً صار
+
+109
+00:08:55,630 --> 00:08:58,410
+له سرعة في اتجاه الـ X، وسرعة في اتجاه الـ Y، وصار
+
+110
+00:08:58,410 --> 00:09:02,430
+عنده acceleration في اتجاه الـ X، و acceleration في اتجاه
+
+111
+00:09:02,430 --> 00:09:05,850
+الـ Y، الـ average acceleration، والـ instantaneous of
+
+112
+00:09:05,850 --> 00:09:12,010
+acceleration، وكمان مرة نقول أنا عنده ماذا؟ عنده
+
+113
+00:09:12,010 --> 00:09:16,470
+يريد أن يحسب، أتعامل مع اتجاه الـ X لحاله، وأتعامل مع
+
+114
+00:09:16,470 --> 00:09:21,830
+اتجاه الـ Y لحاله، ولازم يكون الاثنان معاً، والـ X
+
+115
+00:09:21,830 --> 00:09:27,090
+والـ Y متعامدان على بعض، محور X ومحور Y، يعني بصورة
+
+116
+00:09:27,090 --> 00:09:30,950
+عامة، لازم أنا أحدد المحاور التي أريد أن أعمل عليها
+
+117
+00:09:30,950 --> 00:09:34,050
+لأننا نعرف، كان في نقطة محور X، وأريد أن أحدد
+
+118
+00:09:34,050 --> 00:09:38,950
+محور X ومحور Y، لأن أحياناً أنا أعرف هذا الاتجاه
+
+119
+00:09:38,950 --> 00:09:41,530
+السرعة، هذا يأخذ الموجب، ألم نأخذه في المحاضرة
+
+120
+00:09:41,530 --> 00:09:44,730
+السابقة أو في الـ chapter 2، أنني لازم قبل ما
+
+121
+00:09:44,730 --> 00:09:48,930
+أحل المسألة، أحدد اتجاه الموجب، وأحدد اتجاه السالب
+
+122
+00:09:48,930 --> 00:09:53,170
+لو عندي سرعة بهذا الاتجاه، وليس بهذا الاتجاه، أقول
+
+123
+00:09:53,170 --> 00:09:56,330
+أنا موجب، لأنني أخذت، حددت اتجاه الموجب، لو سقط
+
+124
+00:09:56,330 --> 00:09:59,190
+بالاتجاه المعاكس، أقول أنه سالب، وهذا الذي
+
+125
+00:09:59,190 --> 00:10:01,130
+تكلمنا عنه في المحاضرة الأخيرة، في الـ free
+
+126
+00:10:01,130 --> 00:10:05,930
+falling، لما قلت الجسم لما أرميه لفوق، سرعته
+
+127
+00:10:05,930 --> 00:10:10,350
+الابتدائية نقول عنها ماذا؟ positive، لكن لو رميته
+
+128
+00:10:10,350 --> 00:10:18,650
+لتحت، لماذا؟ تكون سرعتها V negative، لأن
+
+129
+00:10:18,650 --> 00:10:23,350
+أنا أخذت اتجاه الموجب لمن؟ لأعلى، والاتجاه للأسفل هو
+
+130
+00:10:23,350 --> 00:10:27,990
+الـ negative، لو أنا عند الـ acceleration، آتي أعوض
+
+131
+00:10:27,990 --> 00:10:33,830
+عليها في الـ free falling، Gravity Acceleration كنت
+
+132
+00:10:33,830 --> 00:10:39,430
+أعوض عليها دائماً بإيش؟ بإشارة سالبة، لماذا سالبة؟ لأن
+
+133
+00:10:39,430 --> 00:10:44,470
+اتجاهها إلى أين؟ لأسفل، الإزاحة إذا كانت لأعلى تكون
+
+134
+00:10:44,470 --> 00:10:48,790
+موجبة، إذا كانت لأسفل تكون سالبة، يعني الإشارة السالبة
+
+135
+00:10:48,790 --> 00:10:53,710
+تعبر عن اتجاه، كذلك لو أنا عندي جسم للتذكير أيضاً
+
+136
+00:10:53,710 --> 00:10:57,490
+ملاحظة، لو أنا عندي جسم يتحرك في اتجاه الـ X
+
+137
+00:10:57,490 --> 00:11:03,180
+بسرعة V، الـ acceleration أيضاً تؤثر على من؟ على
+
+138
+00:11:03,180 --> 00:11:06,420
+السرعة، السرعة تؤثر على الـ position، على المكان، إذا
+
+139
+00:11:06,420 --> 00:11:10,720
+ليس جسم يتحرك بسرعة معينة، مكانه يتغير، إذا له
+
+140
+00:11:10,720 --> 00:11:13,780
+acceleration، سرعته التي تتغير، إذا ليس له
+
+141
+00:11:13,780 --> 00:11:16,680
+acceleration، طيب سؤال، متى الـ acceleration
+
+142
+00:11:16,680 --> 00:11:21,490
+بالتساوي صفر؟ ومتى الـ acceleration تساوي Zero
+
+143
+00:11:21,490 --> 00:11:25,810
+أمثلة أو اذكروا الحالات التي فيها، أو التفسير أن
+
+144
+00:11:25,810 --> 00:11:28,750
+الـ acceleration تساوي صفر؟، كما قلت،  ليس
+
+145
+00:11:28,750 --> 00:11:33,950
+acceleration، ليس تغير في من؟ في السرعة، ليس تغير في
+
+146
+00:11:33,950 --> 00:11:36,490
+السرعة، في احتمال أن الجسم ساكن، ليس تغير في السرعة
+
+147
+00:11:36,490 --> 00:11:39,830
+ما هي السرعة في هذه الحالة قيمتها كم؟ Zero أو
+
+148
+00:11:39,830 --> 00:11:45,910
+الجسم يتحرك بسرعة، سرعتها ثابتة، قيمتها خمسة
+
+149
+00:11:45,910 --> 00:11:50,500
+متر بالثانية، يعني لا تتغير سرعته، لماذا؟ معناه أن
+
+150
+00:11:50,500 --> 00:11:53,520
+acceleration تساوي Zero، لو كان في acceleration، في
+
+151
+00:11:53,520 --> 00:11:57,740
+تغير في من؟ في السرعة، إذا هنا لما تكون الـ
+
+152
+00:11:57,740 --> 00:12:01,320
+acceleration قيمتها تساوي Zero، معناه ليس تغير في
+
+153
+00:12:01,320 --> 00:12:04,360
+السرعة، لو قلت لك ارسمها، ارسم لي الـ
+
+154
+00:12:04,360 --> 00:12:09,000
+acceleration مع السرعة، لو كانت، ماذا ستقول لي؟ هي
+
+155
+00:12:09,000 --> 00:12:13,560
+السرعة مع الزمان، السرعة في هذه الحالة تمثلها بإيش؟
+
+156
+00:12:13,560 --> 00:12:18,360
+بخط ماذا؟ ثابت، لو قلت لك السرعة بالمتر بالـ second
+
+157
+00:12:18,360 --> 00:12:21,660
+والـ acceleration بالـ second، وهذه عبارة عن خط
+
+158
+00:12:21,660 --> 00:12:26,460
+مستقيم، ستقول الـ acceleration قيمتها تساوي كم؟
+
+159
+00:12:26,460 --> 00:12:31,660
+Zero، لماذا تساوي Zero؟ لأن السرعة سرعتها قيمتها
+
+160
+00:12:31,660 --> 00:12:36,280
+ثابتة، واضح؟ وهذا ذكرناه في المحاضرة السابقة، وأعطيناكم
+
+161
+00:12:36,280 --> 00:12:40,100
+مثال، وأعطيناكم سؤال، وقلنا لكم اشرحوه أو
+
+162
+00:12:40,100 --> 00:12:46,900
+علقوا عليه، نأتي الآن نكمل، ونأخذ لنا example على
+
+163
+00:12:46,900 --> 00:12:50,700
+هذا الكلام، يعني الآن أريد أن أتحدث في اتجاه الـ X و
+
+164
+00:12:50,700 --> 00:12:56,020
+اتجاه الـ Y، محاضرات الـ chapter التي قبلها كانت فقط
+
+165
+00:12:56,020 --> 00:12:59,940
+كلامي يا إما في اتجاه الـ X يا إما في اتجاه الـ Y، ليس
+
+166
+00:12:59,940 --> 00:13:03,960
+سيتغير كثيراً، بس أنا سآخذ محورين، أعمل في اتجاه
+
+167
+00:13:03,960 --> 00:13:07,620
+المحور الأول لحاله، الـ X direction لحاله، والـ Y
+
+168
+00:13:07,620 --> 00:13:14,630
+direction لحاله، يقول عندي particle يتحرك في الـ XY
+
+169
+00:13:14,630 --> 00:13:21,730
+plane، إذا في عنده تغير في الـ X وتغير في الـ Y، ممكن
+
+170
+00:13:21,730 --> 00:13:23,810
+يكون عنده velocity في اتجاه الـ X، و velocity في اتجاه
+
+171
+00:13:23,810 --> 00:13:26,330
+الـ Y، acceleration في اتجاه الـ X، و acceleration في ات
+
+223
+00:18:32,370 --> 00:18:38,370
+اتنين طيب، لو سألت هنا مباشرةً Vx سواء اتنين متر per
+
+224
+00:18:38,370 --> 00:18:41,990
+second، لاحظوا،  مش فيه function في الـ T، معناه ذلك
+
+225
+00:18:41,990 --> 00:18:45,730
+الفلوس تجدش قيمتها ثابتة، إيش متوقعين تطلع الـ
+
+226
+00:18:45,730 --> 00:18:49,410
+acceleration؟ لو ما نيجي نحسبها، هتطلع الـ
+
+227
+00:18:49,410 --> 00:18:52,690
+acceleration قيمتها بالساوة Zero؟ ليش الـ
+
+228
+00:18:52,690 --> 00:18:57,230
+acceleration قيمتها بالساوة Zero لأنه السرعة ثابتة.
+
+229
+00:18:57,230 --> 00:19:02,040
+سرعة، فش تغير في السرعة، نيجي هنا نعمل الـ derivative
+
+230
+00:19:02,040 --> 00:19:10,480
+لها، VY بيساوي مشتقة الإزاحة في اتجاه الـ Y على الـ T.
+
+231
+00:19:10,480 --> 00:19:18,300
+لما نشتقها، Zero Minus Four T، الزمن عن T بتساوي
+
+232
+00:19:18,300 --> 00:19:25,660
+اتنين Second، يعني T هنا بتساوي اتنين Second، بتعوض
+
+233
+00:19:25,660 --> 00:19:26,840
+عن T باتنين، بتعوض.
+
+234
+00:19:29,460 --> 00:19:35,000
+-8 meter per second، طب نيجي نعمل المطلوب الثالث، إذا
+
+235
+00:19:35,000 --> 00:19:40,320
+اللاحظة عبارة عن vector في اتجاه الـ X، 2I، هين طلعتها
+
+236
+00:19:40,320 --> 00:19:46,120
+و في اتجاه الـ Y -8، في اتجاه الـ Y، إذا ك vector اللي
+
+237
+00:19:46,120 --> 00:19:48,960
+أنا بتكلم الـ acceleration كـ vector، منها مركبة
+
+238
+00:19:48,960 --> 00:19:52,680
+سينية، ومنها مركبة صادية، نيجي نشوف المطلوب الثالث.
+
+239
+00:19:52,680 --> 00:19:55,880
+إيش طالب منه؟ طالب حساب الـ acceleration.
+
+240
+00:19:59,780 --> 00:20:03,500
+هساوب الـ acceleration للبعض، كل قيمة بالساوية two
+
+241
+00:20:03,500 --> 00:20:08,860
+second، بدي أجيب عندي اتنين second وأجيب الـ
+
+242
+00:20:08,860 --> 00:20:12,400
+instantaneously
+
+243
+00:20:12,400 --> 00:20:19,180
+acceleration، طبعا الـ X بده اشتقها مرة، الـ X اشتقتها
+
+244
+00:20:19,180 --> 00:20:21,660
+أول مرة أعطتنا الـ velocity، بده اشتقها كمان مرة.
+
+245
+00:20:21,660 --> 00:20:24,320
+اشتقتها بتعطينا الـ acceleration،  جانديش الـ
+
+246
+00:20:24,320 --> 00:20:27,360
+acceleration  بتجاه الـ X زيرو، هذا احنا عارفينه من
+
+247
+00:20:27,360 --> 00:20:30,560
+البداية، لأن السرعة مالها؟ مقدارها ثابتة، لكن هنا
+
+248
+00:20:30,560 --> 00:20:37,160
+السرعة مقدارها طلع عندي مقدارها متغيرة بـ T، لذا هنا
+
+249
+00:20:37,160 --> 00:20:43,970
+لما أجي اشتقها كمان مرة، هتطلع عندي -4،  شارة السالب
+
+250
+00:20:43,970 --> 00:20:50,670
+لها معنى، والقيمة لها معنى، الأربعة معناته، السالب
+
+251
+00:20:50,670 --> 00:20:55,110
+معناته عكس السرعة، السرعة راحة بهذا الاتجاه،
+
+252
+00:20:55,110 --> 00:21:01,870
+والاكسليريشن عكسها، لذن هتبدأ مالها؟ تتناقص تدريجيا لما
+
+253
+00:21:01,870 --> 00:21:05,710
+تصل للـ zero، لذن السرعة بتكون عندي في اتجاه الـ Y
+
+254
+00:21:05,710 --> 00:21:11,460
+بهذا الشكل، فيه سرعة، بتبدأش تسير فيها، بتبدأ تقل
+
+255
+00:21:11,460 --> 00:21:16,120
+تدريجيا، هذه
+
+256
+00:21:16,120 --> 00:21:20,600
+السرعة في اتجاه الـ Y، بتبدأ الـ acceleration من
+
+257
+00:21:20,600 --> 00:21:27,680
+اتجاهها لأسفل كده، قيمتها؟ متر بر ثانية سكواير، الآن
+
+258
+00:21:27,680 --> 00:21:32,340
+اتجاه الـ Y، بتبدأ  تشملها السرعة تقل تدريجيا، تقل
+
+259
+00:21:32,340 --> 00:21:39,440
+تدريجيا لما تصل ل مين؟ Vy بالساوة 0، لما تصل لـ Vy
+
+260
+00:21:39,440 --> 00:21:44,700
+بالساوة 0، بتبدأ بعدها كأنها تتحرك مع اتجاه الـ
+
+261
+00:21:44,700 --> 00:21:48,320
+acceleration زي الـ projectile motion، acceleration
+
+262
+00:21:48,320 --> 00:21:53,680
+لوين اتجاهها الجسم؟
+
+263
+00:21:53,680 --> 00:21:59,980
+ساعد لفوق، الآن السرعة تبتدأ تتناقص لما تصل للزيرو،
+
+264
+00:21:59,980 --> 00:22:03,280
+وبعدين تغير اتجاهه وتنزل مع تسارع الجاذبية
+
+265
+00:22:03,280 --> 00:22:04,100
+الأرضية.
+
+266
+00:22:11,150 --> 00:22:15,190
+الآن لو أنا قلت في معادلات الحركة الثلاث  اللي أنا
+
+267
+00:22:15,190 --> 00:22:20,290
+قلتهم في الـ chapter السابع، هي نفس المعادلات بس بدي
+
+268
+00:22:20,290 --> 00:22:26,230
+أقول X لحالها، و Y لحالها، المعادلات الثلاث للتذكير:
+
+269
+00:22:26,230 --> 00:22:33,470
+أول واحدة، V final بتساوي V initial، سميناها V
+
+270
+00:22:33,470 --> 00:22:46,340
+naught، زائد AFT، معادلة ثانية، X - X0، لازم يكون هدول
+
+271
+00:22:46,340 --> 00:22:50,940
+مالهم؟ موجودة دائما قدامي، في حال أي مثال موجودة
+
+272
+00:22:50,940 --> 00:22:54,140
+قدامي، في حال projectile motion، موجودة ثلاث معادلات
+
+273
+00:22:54,140 --> 00:22:58,180
+قدامي، وهذا شرط الـ acceleration، قلنا شرطها تكون
+
+274
+00:22:58,180 --> 00:23:02,160
+constant أو uniform acceleration، لازم يكون الـ
+
+275
+00:23:02,160 --> 00:23:10,910
+acceleration قيمتها ثابتة، V0 في T plus AT2، أخر حاجة
+
+276
+00:23:10,910 --> 00:23:17,790
+كانت أخر معادلة، V²، V0²، X
+
+277
+00:23:17,790 --> 00:23:22,410
+- X0، لو قلنا بدأ من الـ origin، X0 ممكن نعتبرها
+
+278
+00:23:22,410 --> 00:23:26,950
+متساوية، هذا في one dimension، لكن أنا بشتغل أنا في
+
+279
+00:23:26,950 --> 00:23:32,570
+اتجاهين، الـ X هياخد معادلات، والـ Y هياخد معادلات، بس
+
+280
+00:23:32,570 --> 00:23:36,690
+الآن، حتى أغيرها حتى تكون في اتجاه الـ X، لازم أوضح
+
+281
+00:23:36,690 --> 00:23:44,350
+هذه X، وهذه X، و AX T، نفس الـ T، T scalar، هذا X، هنا V0
+
+282
+00:23:45,210 --> 00:23:47,670
+في سرعة في اتجاه الـ X، وسرعة في اتجاه الـ Y، في
+
+283
+00:23:47,670 --> 00:23:50,510
+اكسليريشن، زي المثال السابق، اكسليريشن في اتجاه الـ X كان
+
+284
+00:23:50,510 --> 00:23:53,570
+بيساوي 0، الاكسليريشن في اتجاه الـ Y الها قيمة ثانية
+
+285
+00:23:53,570 --> 00:23:58,290
+بيساوي minus 4، إذا هنا X، هنا في عندي السرعة في
+
+286
+00:23:58,290 --> 00:24:02,940
+اتجاه الـ X، هذا X، هنكمل، لو بدي أنا أقول الـ Y، بدي أروح
+
+287
+00:24:02,940 --> 00:24:10,480
+أغير، أحط Y، Y، Y، Y، ناقص Y not، V not Y، ay Y، ناقص Y
+
+288
+00:24:10,480 --> 00:24:14,360
+not، ay في الوسط، في اتجاه الـ Y، هنا الشيء اللي في
+
+289
+00:24:14,360 --> 00:24:19,400
+الوسط في اتجاه الـ Y final، إذا هذا عند المعادلات
+
+290
+00:24:19,400 --> 00:24:23,990
+الثلاث، ناخد أخر مثال، مثال عليها، أو نتكلم في
+
+291
+00:24:23,990 --> 00:24:28,010
+المحاضرة الجاية عن الـ projectile motion، وهذا المثال
+
+292
+00:24:28,010 --> 00:24:32,310
+هو الـ projectile motion على الـ accelerator، على الـ
+
+293
+00:24:32,310 --> 00:24:36,810
+motion في two dimension، اللي هو اتجاه الـ X واتجاه
+
+294
+00:24:36,810 --> 00:24:39,910
+الـ Y، الـ two dimension، موجودة عندي لو أنا عملت الجسم
+
+295
+00:24:39,910 --> 00:24:46,330
+بهذا الشكل، رميتة على مقذوفات، هيكون مركبة X
+
+296
+00:24:46,330 --> 00:24:50,710
+component، و Y component، عند الـ acceleration اللي هو
+
+297
+00:24:50,710 --> 00:24:56,210
+بص، برجع بتأثير مين؟ بتأثير gravity acceleration،
+
+298
+00:24:56,210 --> 00:25:04,310
+اتجاهها لأسفل، اشارتها بالسالب، يعني الآن عند الـ A و
+
+299
+00:25:04,310 --> 00:25:07,870
+Y اللي أنا بدي أستخدمها سالب.
+
+300
+00:25:09,770 --> 00:25:14,490
+واضح للسائل، بهذا الاتجاه بتعبئ، والحركة هتكون بهذا
+
+301
+00:25:14,490 --> 00:25:23,810
+الشكل، كل منطقة فيها Vx وفيها Vy، Vx، Vx، وVy مركبة
+
+302
+00:25:23,810 --> 00:25:28,270
+الـ X component والـ Y component، بيعطيكوا العافية، و
+
+303
+00:25:28,270 --> 00:25:31,710
+نكمل في المحاضرة الجاية اللي هو عن الـ projectile
+
+304
+00:25:31,710 --> 00:25:35,250
+motion كمثال عن الحركة في مستوى.
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/GN8UmQFp-5c_postprocess.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/GN8UmQFp-5c_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..6ed3792d0dbd80df898dee96bdbeb0279c41697a
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/GN8UmQFp-5c_postprocess.srt
@@ -0,0 +1,1216 @@
+1
+00:00:05,300 --> 00:00:08,560
+السلام عليكم و عطيكم العافية اليوم ان شاء الله
+
+2
+00:00:08,560 --> 00:00:13,220
+نكمل في chapter تلاتة chapter تلاتة شبه في chapter
+
+3
+00:00:13,220 --> 00:00:18,520
+اتنين انا بتكلم عن حركة plan up motion الحركة في
+
+4
+00:00:18,520 --> 00:00:22,200
+مستوى لان ال chapter السابق كان عندى اللى هو
+
+5
+00:00:22,200 --> 00:00:27,340
+الحركة في خط مستوى في one dimension يعني اقول جسم
+
+6
+00:00:27,340 --> 00:00:32,280
+عندى النقطة ايه انتقل بهذا الشكل في اتجاه ال Xو
+
+7
+00:00:32,280 --> 00:00:35,840
+رجع في اتجاه ال X و اتحرك فقط في اتجاه ال X لكن
+
+8
+00:00:35,840 --> 00:00:41,200
+الان ممكن جسم تاني كان يتحرك في اتجاه ال Y لحاله
+
+9
+00:00:41,200 --> 00:00:44,960
+زي ال free falling لكن الان ممكن جسم يتحرك في
+
+10
+00:00:44,960 --> 00:00:50,960
+اتجاه ال X و اتجاه ال Y في مستوى الجسم كان عند
+
+11
+00:00:50,960 --> 00:00:58,600
+النقطة A او ال origin صار عند النقطة B يعني
+
+12
+00:00:58,600 --> 00:01:04,280
+انتقل من النقطة A لنقطة Bووصله إزاحة من النقطة A
+
+13
+00:01:04,280 --> 00:01:08,760
+لنقطة B هذه الإزاحة كان وصله إزاحة في اتجاه ال X
+
+14
+00:01:08,760 --> 00:01:14,740
+ووصله إزاحة في اتجاه ال Y هذا لو سميته vector A أو
+
+15
+00:01:14,740 --> 00:01:21,020
+position vector A هيكون عنده هنا Ax شفتر واحد و Ay
+
+16
+00:01:22,520 --> 00:01:26,740
+إزاحة في اتجاه ال X و إزاحة في اتجاه ال Y كل حاجة
+
+17
+00:01:26,740 --> 00:01:31,080
+في اتجاه ال X تتبع قوانين التلاتي المعلن علينا في
+
+18
+00:01:31,080 --> 00:01:36,980
+شبطان اتنين يعني لو جينا نذكر في اندل إزاحة كانت
+
+19
+00:01:36,980 --> 00:01:44,300
+الإزاحة التغير في ال X بتساوي X final ناقص X
+
+20
+00:01:44,300 --> 00:01:50,150
+initial لو قلت هنا X initial و Y initialوهذه كانت
+
+21
+00:01:50,150 --> 00:01:54,550
+ال origin مثلا كمثال 00 دلتا X بيساوي X final ناقص
+
+22
+00:01:54,550 --> 00:02:00,490
+X initial الان في عنده تجاه اق واحد لكن الان بقول
+
+23
+00:02:00,490 --> 00:02:08,090
+فيه ان كمان Delta Y بيساوي Y final ناقص Y initial
+
+24
+00:02:09,950 --> 00:02:14,610
+الان ممكن اقول هذا position vector اللي هو النقطة
+
+25
+00:02:14,610 --> 00:02:18,570
+عند ال P بتمثل position vector ازاحة في اتجاه ال X
+
+26
+00:02:18,570 --> 00:02:24,290
+و ازاحة في اتجاه ال Y هذا الكلام اليوم هنقوله في
+
+27
+00:02:24,290 --> 00:02:31,150
+عند جسم كان عند النقطة AI initial وصار عند النقطة
+
+28
+00:02:31,150 --> 00:02:37,950
+final صار له ازاحة في اتجاه ال Xوصاله إزاحة في
+
+29
+00:02:37,950 --> 00:02:42,510
+اتجاه الـ Y هذه الإزاحة في اتجاه اللي؟ هذه بسميها
+
+30
+00:02:42,510 --> 00:02:47,010
+كنت X initial وهذه X final هذا كمان إزاحة في اتجاه
+
+31
+00:02:47,010 --> 00:02:53,110
+ال Y هذه عنده Y initial يعني هذا إله X initial وY
+
+32
+00:02:53,110 --> 00:03:00,630
+initial وهذا إله X final وY final صارت الإزاحة في
+
+33
+00:03:00,630 --> 00:03:06,220
+اتجاهين بدل ما كانت في اتجاه واحدهذا النقطة متجه
+
+34
+00:03:06,220 --> 00:03:12,440
+ال position vector R initial وهذا متجه ال final
+
+35
+00:03:12,440 --> 00:03:18,720
+position الموضوع النهائي R final الإزاحة تمت من
+
+36
+00:03:18,720 --> 00:03:24,520
+initial لمين final اللي هي delta R R initial طبعاً
+
+37
+00:03:24,520 --> 00:03:30,500
+لها مركبة في اتجاه ال X X initial وY initial لما
+
+38
+00:03:30,500 --> 00:03:35,380
+نكتب أي vectorالمعركة الصينية والمعركة الاقتصادية
+
+39
+00:03:35,380 --> 00:03:45,680
+Y final لها X final ولها Y final الآن
+
+40
+00:03:45,680 --> 00:03:49,400
+التغيير في ال position Delta R هو عبارة عن vector
+
+41
+00:03:49,400 --> 00:03:51,680
+displacement
+
+42
+00:03:52,910 --> 00:03:58,550
+R final ناقص R initial R final ناقص R initial
+
+43
+00:03:58,550 --> 00:04:02,750
+عبارة عن طريح vector ايش بدك تقول X final ناقص X
+
+44
+00:04:02,750 --> 00:04:08,530
+initial كأني تعاملت مع المراكب الصيني لحالها و R و
+
+45
+00:04:08,530 --> 00:04:14,520
+مع ال Y component لحالها ايش حيصير عندك؟x final
+
+46
+00:04:14,520 --> 00:04:19,600
+ناقص x initial في ال x component و y final ناقص y
+
+47
+00:04:19,600 --> 00:04:23,860
+initial في ال y component لذن هي عبارة عن delta x
+
+48
+00:04:23,860 --> 00:04:29,480
+و delta y لو رجعنا ال delta x في one dimension كنت
+
+49
+00:04:29,480 --> 00:04:33,040
+اتعامل مع اتجاه ال x اقول كمثال اي اشهر velocity
+
+50
+00:04:33,040 --> 00:04:37,660
+بتجيبها اقول x final ناقص x initial على t final
+
+51
+00:04:37,660 --> 00:04:42,910
+ناقص t initial عشان هو one dimension هذا vectorلكن
+
+52
+00:04:42,910 --> 00:04:46,470
+في اتجاه من؟ في اتجاه ال X لما قلت اجيب ال average
+
+53
+00:04:46,470 --> 00:04:49,790
+velocity في اتجاه ال Y اقول نفس الطريقة في اتجاه
+
+54
+00:04:49,790 --> 00:04:54,310
+ال Y Y final ناقص Y initial على T final ناقص T
+
+55
+00:04:54,310 --> 00:04:58,850
+initial هذا الكلام هتبدو الآن اذا اول حاجة جبت
+
+56
+00:04:58,850 --> 00:05:03,630
+الإزاحة ال average ال displacement لل particle
+
+57
+00:05:03,630 --> 00:05:09,520
+اللي هو كان عند النقطة او عند ال initialوصار عند
+
+58
+00:05:09,520 --> 00:05:12,140
+الـ Final الـ Displacement اللي هو هذه الـ
+
+59
+00:05:12,140 --> 00:05:15,400
+Displacement الإزاحة هيعمل initial إلى final دلت
+
+60
+00:05:15,400 --> 00:05:19,900
+أر حسبتها وطلعت نمتها لما أجيب أحسب ال average
+
+61
+00:05:19,900 --> 00:05:23,920
+velocity نفس الكلام كأنه إزاحة في اتجاه ال X هاي
+
+62
+00:05:23,920 --> 00:05:28,780
+ال X إزاح زي هيك هو هذه دلت أكس اللي بتمثل عند
+
+63
+00:05:28,780 --> 00:05:34,020
+النقطة دلت أكساللي هي X final ناقص X initial و هنا
+
+64
+00:05:34,020 --> 00:05:40,840
+Delta Y Y final ناقص Y initial و Y final ناقص Y
+
+65
+00:05:40,840 --> 00:05:45,360
+initial و بجيب قيمتها، لذا بجيب X final ناقص X
+
+66
+00:05:45,360 --> 00:05:50,780
+initial و Y final ناقص Y initial، لذا V الـ
+
+67
+00:05:50,780 --> 00:05:54,020
+Average Value بتساوي تغير في ال displacement ع
+
+68
+00:05:54,020 --> 00:05:58,180
+التغير في T، تلاحظوا ان ال V vector و ال R
+
+69
+00:05:58,180 --> 00:06:01,820
+displacement vectorأذا في عندي تغير في ال X
+
+70
+00:06:01,820 --> 00:06:06,780
+بالنسبة لل T في اتجاه ال X وفي اتجاه ال Y كأنه هذه
+
+71
+00:06:06,780 --> 00:06:10,560
+average velocity في اتجاه ال X وهذه average
+
+72
+00:06:10,560 --> 00:06:16,140
+velocity في اتجاه ال Y ولو جيت لل instantaneous
+
+73
+00:06:16,140 --> 00:06:19,420
+velocity
+
+74
+00:06:19,420 --> 00:06:27,260
+تعريفها كهنا عارفه هي التغير في مين التغير في ال X
+
+75
+00:06:27,260 --> 00:06:34,320
+بسالـ Delta T تقول لمن؟ لـ Zero الـ Delta T تقول
+
+76
+00:06:34,320 --> 00:06:40,760
+لـ Zero قلنا هي الـ Derivative لذن V كانت الساوى
+
+77
+00:06:40,760 --> 00:06:49,420
+في اتجاه الـ X DX على DT التغير في الـ X تغير في
+
+78
+00:06:49,420 --> 00:06:53,200
+الإزاحة في اتجاه الـ X مش تقع للإزاحة في اتجاه الـ
+
+79
+00:06:53,200 --> 00:06:58,760
+X بالنسبة للـ T الآن لو قلت الـ Vفي two dimension
+
+80
+00:06:58,760 --> 00:07:04,220
+هقول انه هي مشتقة الإزاحة بالنسبة لل T مشتقة
+
+81
+00:07:04,220 --> 00:07:07,620
+الإزاحة لما اشتق vector مشتق ال X component و ال Y
+
+82
+00:07:07,620 --> 00:07:10,580
+component is an instantaneous velocity في اتجاه ال
+
+83
+00:07:10,580 --> 00:07:16,080
+X و instantaneous velocity في اتجاه ال Y لو جيت
+
+84
+00:07:16,080 --> 00:07:19,700
+بنفس الكيفية اتكلم عن ال average و ال
+
+85
+00:07:19,700 --> 00:07:23,320
+instantaneous ال average كمان نعرفينها معدل او
+
+86
+00:07:23,320 --> 00:07:25,800
+متوسط و ال instantaneous اللحظية
+
+87
+00:07:27,510 --> 00:07:30,590
+الـ acceleration الـ average acceleration هو الـ
+
+88
+00:07:30,590 --> 00:07:33,030
+acceleration من نفس الكيفية الـ average
+
+89
+00:07:33,030 --> 00:07:37,610
+acceleration هي التغير في ال V بالنسبة لل T وهي
+
+90
+00:07:37,610 --> 00:07:41,590
+التغير طبعا في التغير في ال vector V acceleration
+
+91
+00:07:41,590 --> 00:07:48,430
+vector و V معاها vector على التغير في ال time DVX
+
+92
+00:07:48,430 --> 00:07:53,540
+أو Delta VX على Delta Tالسرعة في اتجاه ال X تغير
+
+93
+00:07:53,540 --> 00:07:56,400
+السرعة في اتجاه ال X وتغير السرعة في اتجاه ال Y
+
+94
+00:07:56,400 --> 00:08:00,220
+كذلك الاكسلاريشن الاكسلاريشن الاكسلاريشن
+
+95
+00:08:00,220 --> 00:08:01,700
+الاكسلاريشن الاكسلاريشن الاكسلاريشن الاكسلاريشن
+
+96
+00:08:01,700 --> 00:08:02,920
+الاكسلاريشن الاكسلاريشن الاكسلاريشن الاكسلاريشن
+
+97
+00:08:02,920 --> 00:08:03,480
+الاكسلاريشن الاكسلاريشن الاكسلاريشن الاكسلاريشن
+
+98
+00:08:03,480 --> 00:08:04,500
+الاكسلاريشن الاكسلاريشن الاكسلاريشن الاكسلاريشن
+
+99
+00:08:04,500 --> 00:08:11,300
+الاكسلاريشن الاكسلاريشن الاكسلاريشن الاكسلاريشن
+
+100
+00:08:16,410 --> 00:08:19,550
+حاجة بتمثل التغير في اتجاه ال X والتغير في اتجاه
+
+101
+00:08:19,550 --> 00:08:24,230
+ال Y لو انا قلت هذا الجسم رميته قذفته بهذا الشكل
+
+102
+00:08:24,230 --> 00:08:31,570
+صار فيه عندى تغيرالجسم هى بيطلع في اتجاه وليه يكون
+
+103
+00:08:31,570 --> 00:08:36,030
+في اتجاه ال Y و بعدين بنزل في اتجاه ال Y كذلك
+
+104
+00:08:36,030 --> 00:08:39,910
+اتحرك في ال X من هذه النقطة لهذه النقطة كأنه صار
+
+105
+00:08:39,910 --> 00:08:43,290
+له ازاحة وصل له هذه النقطة صار له ازاحة في اتجاه
+
+106
+00:08:43,290 --> 00:08:46,930
+ال X وصار له ازاحة تغير في الازاحة في اتجاه ال Y
+
+107
+00:08:46,930 --> 00:08:50,970
+لو قلت عنده نقطة هادر رميته ووصل له هذه النقطة صار
+
+108
+00:08:50,970 --> 00:08:55,630
+له تغير في اتجاه ال Y وتغير في اتجاهالـ X طبعا صار
+
+109
+00:08:55,630 --> 00:08:58,410
+له فلوسة في اتجاه ال X و فلوسة في اتجاه ال Y و صار
+
+110
+00:08:58,410 --> 00:09:02,430
+عنده اكسلاريشن في اتجاه ال X و اكسلاريشن في اتجاه
+
+111
+00:09:02,430 --> 00:09:05,850
+ال Y ال average acceleration و ال century of
+
+112
+00:09:05,850 --> 00:09:12,010
+acceleration و كمان مرة بنقول انا عنده ايش عنده
+
+113
+00:09:12,010 --> 00:09:16,470
+بده احسب اتعامل مع اتجاه ال X لحاله و اتعامل مع
+
+114
+00:09:16,470 --> 00:09:21,830
+اتجاه ال Y لحالهو لازم يكونوا التنين معاهم و ال X
+
+115
+00:09:21,830 --> 00:09:27,090
+و ال Y متعامدات على بعض محور X و محور Y يعني بصورة
+
+116
+00:09:27,090 --> 00:09:30,950
+عامة لازم انا احدد المحاور اللي بدي اشتغل عليها
+
+117
+00:09:30,950 --> 00:09:34,050
+عشان احنا عارفين كان في نقطة محور X و بدي احدد
+
+118
+00:09:34,050 --> 00:09:38,950
+محور X و محور Y لإن أحيانا انا بعرفهذه اتجاه
+
+119
+00:09:38,950 --> 00:09:41,530
+الاكسر فهذا بتاخد الموجب مش احنا خدناه في المحاضرة
+
+120
+00:09:41,530 --> 00:09:44,730
+السابقة او في ال chapter 2 انه انا لازم قبل ما
+
+121
+00:09:44,730 --> 00:09:48,930
+احلي المسألة احدد اتجاه الموجب و احدد اتجاه السالم
+
+122
+00:09:48,930 --> 00:09:53,170
+لو عندى سرعة بهذا الاتجاه و لست بهذا الاتجاه بقول
+
+123
+00:09:53,170 --> 00:09:56,330
+انا موجب لانه انا مااخد محدد اتجاه الموجب لو سقط
+
+124
+00:09:56,330 --> 00:09:59,190
+بالاتجاه المعاكس بقول ان هي سالم و هذا اللي
+
+125
+00:09:59,190 --> 00:10:01,130
+اتكلمنا عليه في المحاضرة الأخيرة في ال free
+
+126
+00:10:01,130 --> 00:10:05,930
+falling لما قلت الجسم لما ارميه لفوقسرعته
+
+127
+00:10:05,930 --> 00:10:10,350
+الابتدائي يقولنا عنها إيش؟ positive لكن لو رميته
+
+128
+00:10:10,350 --> 00:10:18,650
+لتحت ليش؟ بيكون أشمالها V negative لأن
+
+129
+00:10:18,650 --> 00:10:23,350
+أنا ماخد اتجاه الموجب لمن؟ up والاتجاه ال down هو
+
+130
+00:10:23,350 --> 00:10:27,990
+ال negative لو أنا عند ال acceleration أجي تعوب
+
+131
+00:10:27,990 --> 00:10:33,830
+عليها في ال free fallingGravity Acceleration كنت
+
+132
+00:10:33,830 --> 00:10:39,430
+عوضت عليها دايما بإيش بإشارة سالبة ليش سالبة لأن
+
+133
+00:10:39,430 --> 00:10:44,470
+اتجاهها لوين لأسفل الإزاحة إذا كانت لفوق بتكون
+
+134
+00:10:44,470 --> 00:10:48,790
+موجب إذا كانت لتحت بتكون سالب يعني الإشارة السالبة
+
+135
+00:10:48,790 --> 00:10:53,710
+بتعبر عن اتجاه كذلك لو أنا عندي جسم للتذكير كمان
+
+136
+00:10:53,710 --> 00:10:57,490
+بيقول ملاحظة لو أنا عندي جسم بتحرك في اتجاه ال X
+
+137
+00:10:57,490 --> 00:11:03,180
+بسرعة Vالـ acceleration كمان مرة تؤثر على مين؟ على
+
+138
+00:11:03,180 --> 00:11:06,420
+سرعة، السرعة تؤثر على ال position، على المكان، إذا
+
+139
+00:11:06,420 --> 00:11:10,720
+مش جسم بتحرك بسرعة معينة، مكانه بتتغير، إذا إله
+
+140
+00:11:10,720 --> 00:11:13,780
+acceleration، سرعته اللي بتتغير، إذا مالهوش
+
+141
+00:11:13,780 --> 00:11:16,680
+acceleration، طيب سؤال متى ال acceleration
+
+142
+00:11:16,680 --> 00:11:21,490
+بالثاوية zero؟وكدهش ال acceleration بالساوى Zero
+
+143
+00:11:21,490 --> 00:11:25,810
+الأمثلة أو اذكروا الحالات اللي فيها أو التفسير ان
+
+144
+00:11:25,810 --> 00:11:28,750
+ال acceleration بالساوى صفر مازان قولت فش
+
+145
+00:11:28,750 --> 00:11:33,950
+acceleration فش تغير في مين؟ في السرعة فش تغير في
+
+146
+00:11:33,950 --> 00:11:36,490
+السرعة في احتمال ان الجسم ساكن فش تغير في السرعة
+
+147
+00:11:36,490 --> 00:11:39,830
+ما هو السرعة في هذا الحالة قيمتها كدهاش؟ Zero او
+
+148
+00:11:39,830 --> 00:11:45,910
+الجسم يتحرك بسرعة شمالها بسرعة ثابتة قيمتها خمس
+
+149
+00:11:45,910 --> 00:11:50,500
+متر بير ساكنيعني بتزيدي سرعته، ليش؟ معناه ذلك
+
+150
+00:11:50,500 --> 00:11:53,520
+acceleration مستوى Zero لو كان في acceleration، في
+
+151
+00:11:53,520 --> 00:11:57,740
+تغير كمين في السرعة، إذا هنا لما تكون ال
+
+152
+00:11:57,740 --> 00:12:01,320
+acceleration قيمتها مستوى Zero، معناه تفش تغير في
+
+153
+00:12:01,320 --> 00:12:04,360
+السرعة، لو قلتلك ارسمها للتفكير، ارسمني ال
+
+154
+00:12:04,360 --> 00:12:09,000
+acceleration مع السرعة، لو كانت، إيش هتقوللي؟ هي
+
+155
+00:12:09,000 --> 00:12:13,560
+السرعة مع الزمانالسرعة في هذه الحالة هتمثلها بإيش
+
+156
+00:12:13,560 --> 00:12:18,360
+بخط إيش ثابت لو قلتلك السرعة بال متر بال second
+
+157
+00:12:18,360 --> 00:12:21,660
+وال acceleration بال second وهذه عبارة عن خط
+
+158
+00:12:21,660 --> 00:12:26,460
+مستقيم هتقول ال acceleration قيمتها بالساوية كم؟
+
+159
+00:12:26,460 --> 00:12:31,660
+Zero ليش بالساوية Zero؟ لأن السرعة يشمالها قيمتها
+
+160
+00:12:31,660 --> 00:12:36,280
+ثابتة واضح؟ وهذا خلنا المحاضرة السابقة و أعطيناكم
+
+161
+00:12:36,280 --> 00:12:40,100
+مثال و أعطيناكم سؤال وقلنا لكم اشرحولنا إياه أو
+
+162
+00:12:40,100 --> 00:12:46,900
+علقوا عليهطب نيجي الان نكمل و نخد لنا example على
+
+163
+00:12:46,900 --> 00:12:50,700
+هذه الكلام يعني الان بدي اتكلم في اتجاه ال X و
+
+164
+00:12:50,700 --> 00:12:56,020
+اتجاه ال Y محاضر ال chapter اللي قبلي كان فقط
+
+165
+00:12:56,020 --> 00:12:59,940
+كلامي يا اما في اتجاه ال X يا اما في اتجاه ال Y مش
+
+166
+00:12:59,940 --> 00:13:03,960
+هيختلف كتير بس انا ههلل هاخد محورين اشتغل في اتجاه
+
+167
+00:13:03,960 --> 00:13:07,620
+المحور الأولاني لحال ال X direction لحال و ال Y
+
+168
+00:13:07,620 --> 00:13:14,630
+direction لحالبيقول عنده particle بتحرك في ال XY
+
+169
+00:13:14,630 --> 00:13:21,730
+plane إذا في عنده تغير في ال X و تغير في ال Y ممكن
+
+170
+00:13:21,730 --> 00:13:23,810
+يكون عنده Velocity في تجاه ال X و Velocity في تجاه
+
+171
+00:13:23,810 --> 00:13:26,330
+ال Y اكسليريشن في تجاه ال X و اكسليريشن في تجاه ال
+
+172
+00:13:26,330 --> 00:13:33,890
+Y ال function of time لل R هي عبارة عن اتنين T وين
+
+173
+00:13:33,890 --> 00:13:45,830
+في ال I محور Xيزن هذه كأنها ال X وهذا كأنه ال Y
+
+174
+00:13:45,830 --> 00:13:51,270
+يزن ال position له X و له Y يزن في عندي حاجتين في
+
+175
+00:13:51,270 --> 00:13:57,910
+R initial و في R final ال position ال initial
+
+176
+00:13:57,910 --> 00:14:01,290
+الموضوع الابتدائي و الموضوع النهائي ايه له هذا ال
+
+177
+00:14:01,290 --> 00:14:12,120
+R initial له X initial و له YInitial مُركّبين X
+
+178
+00:14:12,120 --> 00:14:21,760
+final و Y final نجي
+
+179
+00:14:21,760 --> 00:14:25,500
+الى ايش طالب هو طبعا تي بال second وال X أو ال R
+
+180
+00:14:25,500 --> 00:14:33,630
+بال متربتوطق average velocity إذا لما يكون اتكلم
+
+181
+00:14:33,630 --> 00:14:37,570
+عن average velocity بيكون في initial وفي final X
+
+182
+00:14:37,570 --> 00:14:42,210
+initial وY final X initial وX final وY initial وY
+
+183
+00:14:42,210 --> 00:14:48,010
+final الـ T من T في ال interval من T بالساوة 0 لT
+
+184
+00:14:48,010 --> 00:14:55,460
+بالساوة 2 يعني T initial وTH finalمن زمن من Zero
+
+185
+00:14:55,460 --> 00:15:04,220
+لعين T بيسوا اتنين اذا T initial او T final Zero
+
+186
+00:15:04,220 --> 00:15:14,620
+وعند اتنين ساكن الها R initial وR final او بمعنى
+
+187
+00:15:14,620 --> 00:15:22,230
+اخر X initial و Y initial و X final وY finalبدا
+
+188
+00:15:22,230 --> 00:15:27,970
+اشتغل في ال X لحاله و ال Y لحاله لاحظوا X
+
+189
+00:15:27,970 --> 00:15:33,310
+component و Y component و الزمن Scalar الزمن لل X
+
+190
+00:15:33,310 --> 00:15:38,090
+من Zero لإتنين و الزمن لل Y من Zero لإتنين اذا اجي
+
+191
+00:15:38,090 --> 00:15:43,250
+اشتغل في اتجاه محور X ايش في اتجاه محور X؟ هي محور
+
+192
+00:15:43,250 --> 00:15:47,830
+X اللي هي قداش ال X قيمتها X بتساوي 2T
+
+193
+00:15:50,740 --> 00:15:54,440
+لو أشتغل في اتجاه ال Y X بالساوية جداش قيمتها 19
+
+194
+00:15:54,440 --> 00:16:01,060
+-2T² لما
+
+195
+00:16:01,060 --> 00:16:06,680
+أتكلم في اتجاه ال X T initial X initial إلها جداش
+
+196
+00:16:06,680 --> 00:16:12,020
+قيمتها مضاجي أعوضه ب0 X
+
+197
+00:16:12,020 --> 00:16:20,160
+final مضاجي أعوضه عن T بجداش T final
+
+198
+00:16:22,600 --> 00:16:30,460
+X final بيضعوض عن X بـ 2 سيرين دي اكتر 4 متر الان
+
+199
+00:16:30,460 --> 00:16:35,520
+بقدر اجيب ال average velocity في اتجاه ال X هي
+
+200
+00:16:35,520 --> 00:16:39,520
+عبارة عن X final ناقص X initial على T final ناقص T
+
+201
+00:16:39,520 --> 00:16:46,180
+initial X final 4 ناقص 0 على 2 minus 0 بطعة 2 متر
+
+202
+00:16:46,180 --> 00:16:52,330
+per second بنفس الكيفيةعندي T initial و T final
+
+203
+00:16:52,330 --> 00:17:00,050
+عندي Y initial نجي نعوض في معادلة ال Y ب 0 يطلع 19
+
+204
+00:17:00,050 --> 00:17:08,550
+متر Y final بتساوي نعوض عن T ب 2 T ب 2 تمانية و
+
+205
+00:17:08,550 --> 00:17:12,750
+يطلع 11 الآن
+
+206
+00:17:12,750 --> 00:17:16,070
+لو قلتلك جيب لي ال average velocity في اتجاه ال X
+
+207
+00:17:16,070 --> 00:17:21,240
+هتقولY final ناقص Y initial على X final على T
+
+208
+00:17:21,240 --> 00:17:27,080
+final ناقص T initial Y final هي 11 متر ناقص 19 على
+
+209
+00:17:27,080 --> 00:17:32,920
+T final 2 minus 0 12 سالب 4 meter per second لذان
+
+210
+00:17:32,920 --> 00:17:36,300
+انا اقدر تجيب ال average velocity بمعرفة T initial
+
+211
+00:17:36,300 --> 00:17:40,320
+و T final ومعرفة ال position vector اللي هو R
+
+212
+00:17:40,320 --> 00:17:44,020
+بالساوية 2 المعادلة اللي ملتاها معاياالان المطلوب
+
+213
+00:17:44,020 --> 00:17:49,720
+التاني what is the velocity of the particle at t
+
+214
+00:17:49,720 --> 00:17:53,160
+بالساوية two second لما سألني عن ال velocity سألني
+
+215
+00:17:53,160 --> 00:17:57,040
+عند لحظة معينة إذا إيش بده Instantaneous velocity
+
+216
+00:17:57,040 --> 00:17:59,820
+كيف بدي أجيب ال instantaneous velocity؟ بدي أروح
+
+217
+00:17:59,820 --> 00:18:05,690
+أشطقهاالـ derivative لل displacement طبعا في اندي
+
+218
+00:18:05,690 --> 00:18:09,050
+في ال X و ال Y يا بشتغل لحاله و باخدها هدف ال X
+
+219
+00:18:09,050 --> 00:18:13,370
+لحالها او بشتغلها معادلة واحد و بريح حالي اذا ممكن
+
+220
+00:18:13,370 --> 00:18:17,990
+اخد ال X لحاله و ال Y لحاله و اشتغل كل واحد على
+
+221
+00:18:17,990 --> 00:18:27,450
+حدة هاي ال X position و ال Y position بده اجيب
+
+222
+00:18:27,450 --> 00:18:32,370
+غسطيه عبارة عن DX على DT بتطلعأشتقها بيطلع عند
+
+223
+00:18:32,370 --> 00:18:38,370
+اتنين طيب لو سألت هنا مباشرة Vx سواء اتنين متر per
+
+224
+00:18:38,370 --> 00:18:41,990
+second لاحظوا مش فيه function في ال T معناه ذلك
+
+225
+00:18:41,990 --> 00:18:45,730
+الفلوس تجدش قيمتها ثابتة ايش متوقعين تطلع ال
+
+226
+00:18:45,730 --> 00:18:49,410
+acceleration لو ما نيجي نحسبها هتطلع ال
+
+227
+00:18:49,410 --> 00:18:52,690
+acceleration قيمتها بالساوة Zero ليش ال
+
+228
+00:18:52,690 --> 00:18:57,230
+acceleration قيمتها بالساوة Zero لأنه السرعة ثابتة
+
+229
+00:18:57,230 --> 00:19:02,040
+سرعة فش تغير في السرعة نيجي هنانعمل ال derivative
+
+230
+00:19:02,040 --> 00:19:10,480
+لها VY بيساوي مشتقة الإزاحة في اتجاه ال Y على ال T
+
+231
+00:19:10,480 --> 00:19:18,300
+لما نشتقها Zero Minus Four T الزمن عن T بتساوي
+
+232
+00:19:18,300 --> 00:19:25,660
+اتنين Second يعني T هنا بتساوي اتنين Second بتدعوض
+
+233
+00:19:25,660 --> 00:19:26,840
+عن T باتنين بتلعب
+
+234
+00:19:29,460 --> 00:19:35,000
+-8 meter per second طب نجي نعمل المطلوب التالت إذا
+
+235
+00:19:35,000 --> 00:19:40,320
+اللاحظة عبارة عن vector في اتجاه ال X2I هين طلعتها
+
+236
+00:19:40,320 --> 00:19:46,120
+و في اتجاه ال Y-8 في اتجاه ال Y إذا ك vector اللي
+
+237
+00:19:46,120 --> 00:19:48,960
+أنا بتكلمه ال acceleration ك vector منها مراكبة
+
+238
+00:19:48,960 --> 00:19:52,680
+سينية و منها مراكبة سادية نجي نشوف المطلوب التالت
+
+239
+00:19:52,680 --> 00:19:55,880
+إيش طالب منه طالب حساب ال acceleration
+
+240
+00:19:59,780 --> 00:20:03,500
+هساوب الـ acceleration للبعض كل قطي بالساوية two
+
+241
+00:20:03,500 --> 00:20:08,860
+second بدي اجيب عندى اتنين second واجيب ال
+
+242
+00:20:08,860 --> 00:20:12,400
+instantaneously
+
+243
+00:20:12,400 --> 00:20:19,180
+accelerationطبعا ال X بده اشتقها مرة ال X اشتقتها
+
+244
+00:20:19,180 --> 00:20:21,660
+اول مرة اعطتنا ال barista بده اشتقها كمان مرة
+
+245
+00:20:21,660 --> 00:20:24,320
+اشتقت بتعطينا ال acceleration جانديش ال
+
+246
+00:20:24,320 --> 00:20:27,360
+acceleration بتجاه ال X زيرو هذا احنا عارفينه من
+
+247
+00:20:27,360 --> 00:20:30,560
+البداية لإن السرعة مالها مقدرها ثابتة لكن هنا
+
+248
+00:20:30,560 --> 00:20:37,160
+السرعة مقدرها طلعت عندى مقدرها متغيرة ب T لذا هنا
+
+249
+00:20:37,160 --> 00:20:43,970
+لما اجي اشتقها كمان مرة هتطلع عندى-4 شعارة السالب
+
+250
+00:20:43,970 --> 00:20:50,670
+لها معنى والقيمة لها معنى الأربعة معناته السالب
+
+251
+00:20:50,670 --> 00:20:55,110
+معناته عكس السرعة السرعة راحة بهذا الاتجاه
+
+252
+00:20:55,110 --> 00:21:01,870
+والأكسراش عكسها لذن هتبدأ مالها تتناقص تدرجيا لما
+
+253
+00:21:01,870 --> 00:21:05,710
+تصل لل zero لذن السرعة بتكون عندى في اتجاه ال Y
+
+254
+00:21:05,710 --> 00:21:11,460
+بهذا الشكل فيه سرعة تبدأش تسير فيهابتبدأ تقيل
+
+255
+00:21:11,460 --> 00:21:16,120
+تدريجيا هذه
+
+256
+00:21:16,120 --> 00:21:20,600
+السرعة في اتجاه ال Y بتبدأ ال acceleration من
+
+257
+00:21:20,600 --> 00:21:27,680
+اتجاهها لأسفل كده قيمتها؟ متر بر ثانت سكوايب الان
+
+258
+00:21:27,680 --> 00:21:32,340
+اتجاه ال Y بتبدأ اشملها السرعة تقيل تدريجيا تقيل
+
+259
+00:21:32,340 --> 00:21:39,440
+تدريجيا لما تصل ل مين؟Vy بالساوة 0 لما تصل ل Vy
+
+260
+00:21:39,440 --> 00:21:44,700
+بالساوة 0 بتبدأ بعدها كشبالها تتحرك مع اتجاه ال
+
+261
+00:21:44,700 --> 00:21:48,320
+acceleration زي ال projectile motion acceleration
+
+262
+00:21:48,320 --> 00:21:53,680
+لوين اتجاهها الجسم
+
+263
+00:21:53,680 --> 00:21:59,980
+ساعد لفوق الآن السرعة تبتدأ تتناقص لما تصلين للزير
+
+264
+00:21:59,980 --> 00:22:03,280
+و بعدين تغير اتجاهه و تنزل مع تسارع الجاذبية
+
+265
+00:22:03,280 --> 00:22:04,100
+الأرضية
+
+266
+00:22:11,150 --> 00:22:15,190
+الان لو انا قلت في معادلات الحركة التلاتة اللى انا
+
+267
+00:22:15,190 --> 00:22:20,290
+قلتهم في ال chapter السابع هى نفس المعادلات بس بدي
+
+268
+00:22:20,290 --> 00:22:26,230
+اقول X لحالها و Y لحالها المعادلات التلاتة للتذكير
+
+269
+00:22:26,230 --> 00:22:33,470
+اول واحدة V final بتساوي V initial سميناها V
+
+270
+00:22:33,470 --> 00:22:46,340
+naught زائد AFT معادلة تلانيةX-X0 لازم يكون هدولة
+
+271
+00:22:46,340 --> 00:22:50,940
+مالهم موجودة دائما قدامي في حال أي مثل موجودة
+
+272
+00:22:50,940 --> 00:22:54,140
+قدامي في حال projectile motion موجودة تلات معادلات
+
+273
+00:22:54,140 --> 00:22:58,180
+قدامي وهذا شرط ال acceleration قولنا شرطها تكون
+
+274
+00:22:58,180 --> 00:23:02,160
+constant او uniform acceleration لازم يكون ال
+
+275
+00:23:02,160 --> 00:23:10,910
+acceleration قيمتها ثابتة V0 في T plus AT2أخر حاجة
+
+276
+00:23:10,910 --> 00:23:17,790
+كانت أخر معادلة V² V0² X
+
+277
+00:23:17,790 --> 00:23:22,410
+-X0 لو قلنا بدأ من ال origin X0 ممكن نعتبرها
+
+278
+00:23:22,410 --> 00:23:26,950
+متساوزةهذا في one dimension لكن انا بشتغل انا في
+
+279
+00:23:26,950 --> 00:23:32,570
+اتجاهين ال X هياخد معادلات و ال Y هياخد معادلة بس
+
+280
+00:23:32,570 --> 00:23:36,690
+الآن حتى اغيرها حتى تكون في اتجاه ال X لازم اوضح
+
+281
+00:23:36,690 --> 00:23:44,350
+هذه X وهذه X و AX T نفس ال T T scalar هذا X هنا V0
+
+282
+00:23:45,210 --> 00:23:47,670
+في سرعة في اتجاه ال X و سرعة في اتجاه ال Y في
+
+283
+00:23:47,670 --> 00:23:50,510
+اكسلريش زي مثال السابق اكسلريش في اتجاه ال X كان
+
+284
+00:23:50,510 --> 00:23:53,570
+بيساوي 0 الاكسلريش في اتجاه ال Y الها قيمة تانية
+
+285
+00:23:53,570 --> 00:23:58,290
+بيساوي minus 4 اذا هنا X هنا في عند السرعة في
+
+286
+00:23:58,290 --> 00:24:02,940
+اتجاه ال X هذا Xهنكس لو بدى انا اقل ال y بدى اروح
+
+287
+00:24:02,940 --> 00:24:10,480
+اغير احط y y y y ناقص y not v not y ay y ناقص y
+
+288
+00:24:10,480 --> 00:24:14,360
+not ay في الوسط في اتجاه ال y هنا الشيء اللي في
+
+289
+00:24:14,360 --> 00:24:19,400
+الوسط في اتجاه ال y final اذا هذا عند المعادلات
+
+290
+00:24:19,400 --> 00:24:23,990
+التلاتة ناخد اخر مثالمثال عليها او نتكلم في
+
+291
+00:24:23,990 --> 00:24:28,010
+المحاضرة الجاي عن ال projectile motion وهذا المثال
+
+292
+00:24:28,010 --> 00:24:32,310
+هو ال projectile motion على ال accelerator على ال
+
+293
+00:24:32,310 --> 00:24:36,810
+motion في two dimension اللي هو اتجاه ال X و اتجاه
+
+294
+00:24:36,810 --> 00:24:39,910
+ال Y ال two dimension موجودة عندى لو انا عمل الجسم
+
+295
+00:24:39,910 --> 00:24:46,330
+بهذا الشكلرميته على مقذوفات هيكون مراكبة X
+
+296
+00:24:46,330 --> 00:24:50,710
+component وY component عند ال acceleration اللي هو
+
+297
+00:24:50,710 --> 00:24:56,210
+بص برجع بتأثير مين بتأثير gravity acceleration
+
+298
+00:24:56,210 --> 00:25:04,310
+اتجاهها لأسفل اشارتها بالسالم يعني الان عند ال A و
+
+299
+00:25:04,310 --> 00:25:07,870
+Y اللي انا بدى استخدمها سالم
+
+300
+00:25:09,770 --> 00:25:14,490
+واضح للسائل بهذا اتجاه بتعبئ والحركة هتكون بهذا
+
+301
+00:25:14,490 --> 00:25:23,810
+الشكل كل منطقة فيها Vx و فيها Vy Vx Vx و Vy مراكبة
+
+302
+00:25:23,810 --> 00:25:28,270
+ال X component و ال Y component بيعطيكوا العافية و
+
+303
+00:25:28,270 --> 00:25:31,710
+نكمل في المحاضرة الجاي اللي هو عن ال projectile
+
+304
+00:25:31,710 --> 00:25:35,250
+motion كمثال عن الحركة في مستوى
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/GN8UmQFp-5c_raw.json b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/GN8UmQFp-5c_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..4f0b62db7bc12299ffb3339dbecae55a500bd0e1
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/GN8UmQFp-5c_raw.json
@@ -0,0 +1 @@
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من النقطة A لنقطة B هذه الإزاحة كان وصله إزاحة في اتجاه ال X ووصله إزاحة في اتجاه ال Y هذا لو سميته vector A أو position vector A هيكون عنده هنا Ax شفتر واحد و Ay", "tokens": [2407, 2407, 9381, 43761, 11933, 11622, 39319, 3660, 9154, 28239, 47432, 3660, 316, 5296, 1863, 47432, 3660, 363, 29538, 33688, 11622, 39319, 3660, 25961, 4032, 9381, 43761, 11933, 11622, 39319, 3660, 8978, 1975, 2655, 7435, 40294, 2423, 1783, 4032, 2407, 9381, 43761, 11933, 11622, 39319, 3660, 8978, 1975, 2655, 7435, 40294, 2423, 398, 23758, 45164, 8608, 2304, 36081, 3224, 8062, 316, 34051, 2535, 8062, 316, 8032, 1829, 30544, 43242, 3224, 34105, 20118, 13412, 5172, 2655, 2288, 36764, 24401, 4032, 9081], "avg_logprob": -0.24074074662761924, "compression_ratio": 1.7177914110429449, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 62.22, "end": 62.72, "word": "ووصله", "probability": 0.391998291015625}, {"start": 62.72, "end": 63.46, "word": " إزاحة", "probability": 0.814453125}, {"start": 63.46, "end": 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new file mode 100644
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--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/HFeraqUtQUQ_raw.json
@@ -0,0 +1 @@
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"temperature": 1.0}, {"id": 18, "seek": 43974, "start": 411.06, "end": 439.74, "text": "بعدين فى عندى ال contact اللى ناشئ من الأول على التانى بس غير ألوانهم هذا من الأول على التهوز الأول زجل التانى لكن التانى إيش عمل رد فعل هذا سميتها اف واحد اتنين وهذا اف اتنين على واحد وهو الاف contact فى عندى acceleration هنا ايه نفس ال acceleration للتانى ايه هيك و الله أعلم واضح", "tokens": [3555, 22488, 9957, 6156, 7578, 43242, 7578, 2423, 3385, 13672, 7578, 8717, 33599, 19986, 9154, 16247, 12610, 15844, 16712, 7649, 7578, 4724, 3794, 32771, 13546, 5551, 1211, 2407, 7649, 16095, 23758, 9154, 16247, 12610, 15844, 16712, 3224, 2407, 11622, 16247, 12610, 30767, 7435, 1211, 16712, 7649, 7578, 44381, 16712, 7649, 7578, 11933, 1829, 8592, 6225, 42213, 12602, 3215, 6156, 30241, 23758, 8608, 2304, 36081, 11296, 1975, 5172, 36764, 24401, 1975, 2655, 1863, 9957, 37037, 15730, 1975, 5172, 1975, 2655, 1863, 9957, 15844, 36764, 24401, 37037, 2407, 2423, 31845, 3385, 6156, 7578, 43242, 7578, 17162, 34105, 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ال free body diagram للجسم الأول وهذا ال free body diagram للجسم التاني اذا اول خطوة دايما في حل المسألة بدى ارسم ال free body diagram لل system", "tokens": [6027, 7649, 47525, 7578, 1975, 7435, 1829, 3555, 25724, 38251, 16247, 12610, 49610, 1829, 3555, 25724, 38251, 16712, 7649, 1829, 23758, 24525, 2304, 3224, 31439, 13672, 1829, 12602, 38251, 2655, 3224, 2423, 1737, 1772, 10686, 24976, 7435, 38251, 16247, 12610, 37037, 15730, 2423, 1737, 1772, 10686, 24976, 7435, 38251, 16712, 7649, 1829, 1975, 15730, 1975, 12610, 16490, 9566, 2407, 3660, 11778, 47302, 15042, 8978, 11331, 1211, 9673, 3794, 10721, 37977, 47525, 7578, 1975, 2288, 38251, 2423, 1737, 1772, 10686, 24976, 1185], "avg_logprob": -0.2419969504926263, "compression_ratio": 2.006060606060606, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 440.5, "end": 441.04, "word": "الان", "probability": 0.802978515625}, {"start": 441.04, "end": 442.22, "word": " بدى", "probability": 0.37603759765625}, {"start": 442.22, "end": 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"word": " Sin", "probability": 0.8134765625}, {"start": 1603.75, "end": 1604.35, "word": " الزاوية", "probability": 0.976953125}, {"start": 1604.35, "end": 1605.21, "word": " هنا", "probability": 0.794921875}, {"start": 1605.21, "end": 1605.45, "word": " عند", "probability": 0.485595703125}, {"start": 1605.45, "end": 1605.77, "word": " M", "probability": 0.60400390625}, {"start": 1605.77, "end": 1606.09, "word": " G", "probability": 0.77197265625}], "temperature": 1.0}, {"id": 64, "seek": 161456, "start": 1607.22, "end": 1614.56, "text": "كسوين الزاوية هنا في ال N هنا في ال T وهذا نفس ال T وهنا عند M اتنين في ال G", "tokens": [4117, 3794, 2407, 9957, 6024, 110, 995, 2407, 10632, 34105, 8978, 2423, 426, 34105, 8978, 2423, 314, 37037, 15730, 8717, 36178, 2423, 314, 37037, 8315, 43242, 376, 1975, 2655, 1863, 9957, 8978, 2423, 460], "avg_logprob": -0.3332589387893677, "compression_ratio": 1.4597701149425288, "no_speech_prob": 0.0, "words": [{"start": 1607.22, "end": 1607.7, "word": "كسوين", "probability": 0.5262451171875}, {"start": 1607.7, "end": 1608.22, "word": " الزاوية", "probability": 0.92041015625}, {"start": 1608.22, "end": 1608.46, "word": " هنا", "probability": 0.70458984375}, {"start": 1608.46, "end": 1608.68, "word": " في", "probability": 0.92626953125}, {"start": 1608.68, "end": 1608.82, "word": " ال", "probability": 0.8505859375}, {"start": 1608.82, "end": 1609.12, "word": " N", "probability": 0.255859375}, {"start": 1609.12, "end": 1609.56, "word": " هنا", "probability": 0.822265625}, {"start": 1609.56, "end": 1609.72, "word": " في", "probability": 0.9462890625}, {"start": 1609.72, "end": 1609.9, "word": " ال", "probability": 0.5947265625}, {"start": 1609.9, "end": 1610.18, "word": " T", "probability": 0.95947265625}, {"start": 1610.18, "end": 1611.34, "word": " وهذا", "probability": 0.77197265625}, {"start": 1611.34, "end": 1611.66, "word": " نفس", "probability": 0.9853515625}, {"start": 1611.66, "end": 1611.84, "word": " ال", "probability": 0.7890625}, {"start": 1611.84, "end": 1612.1, "word": " T", "probability": 0.92822265625}, {"start": 1612.1, "end": 1612.96, "word": " وهنا", "probability": 0.876220703125}, {"start": 1612.96, "end": 1613.22, "word": " عند", "probability": 0.35009765625}, {"start": 1613.22, "end": 1613.62, "word": " M", "probability": 0.92529296875}, {"start": 1613.62, "end": 1614.14, "word": " اتنين", "probability": 0.785736083984375}, {"start": 1614.14, "end": 1614.28, "word": " في", "probability": 0.87158203125}, {"start": 1614.28, "end": 1614.4, "word": " ال", "probability": 0.271484375}, {"start": 1614.4, "end": 1614.56, "word": " G", "probability": 0.88916015625}], "temperature": 1.0}, {"id": 65, "seek": 163942, "start": 1615.54, "end": 1639.42, "text": "و بعد هيك بكون معادل للجسم الأول و معادل للجسم التاني و بطلع قيمة ال acceleration بدمج المعادلتين مع بعض بعوضها بعوضهم في بعض و بطلع قيمة ال a و بعد ما اطلع قيمة ال a ممكن اذا طلب من الشد اطلع قيمة الشد و هيك بيكون خلصنا المحاضرة الجاي ان شاء الله بتتكلم على سطح الراف و حاجة اسمها the friction force و بيعطيكم العافية", "tokens": [2407, 39182, 39896, 4117, 4724, 30544, 20449, 18513, 1211, 24976, 7435, 38251, 16247, 12610, 4032, 20449, 18513, 1211, 24976, 7435, 38251, 16712, 7649, 1829, 4032, 4724, 9566, 1211, 3615, 12174, 32640, 3660, 2423, 17162, 47525, 2304, 7435, 9673, 3615, 18513, 1211, 2655, 9957, 20449, 45030, 11242, 45030, 2407, 11242, 11296, 4724, 3615, 2407, 11242, 16095, 8978, 45030, 11242, 4032, 4724, 9566, 1211, 3615, 12174, 32640, 3660, 2423, 257, 4032, 39182, 19446, 1975, 9566, 1211, 3615, 12174, 32640, 3660, 2423, 257, 3714, 43020, 1975, 15730, 23032, 46152, 9154, 25124, 3215, 1975, 9566, 1211, 3615, 12174, 32640, 3660, 25124, 3215, 4032, 39896, 4117, 4724, 1829, 30544, 16490, 1211, 9381, 8315, 9673, 5016, 46958, 25720, 25724, 47302, 16472, 13412, 16606, 21984, 39894, 2655, 4117, 19528, 15844, 8608, 9566, 5016, 2423, 23557, 5172, 4032, 11331, 26108, 3660, 24525, 2304, 11296, 264, 17710, 3464, 4032, 4724, 40228, 9566, 1829, 24793, 18863, 31845, 10632], "avg_logprob": -0.16747063998407966, "compression_ratio": 2.0492424242424243, "no_speech_prob": 1.430511474609375e-06, "words": [{"start": 1615.54, "end": 1615.74, "word": "و", "probability": 0.4716796875}, {"start": 1615.74, "end": 1615.88, "word": " بعد", "probability": 0.96044921875}, {"start": 1615.88, "end": 1616.06, "word": " هيك", "probability": 0.772216796875}, {"start": 1616.06, "end": 1616.38, "word": " بكون", "probability": 0.49884033203125}, {"start": 1616.38, "end": 1616.96, "word": " معادل", "probability": 0.9275716145833334}, {"start": 1616.96, "end": 1617.34, "word": " للجسم", "probability": 0.80322265625}, {"start": 1617.34, "end": 1617.72, "word": " الأول", "probability": 0.942138671875}, {"start": 1617.72, "end": 1618.28, "word": " و", "probability": 0.488037109375}, {"start": 1618.28, "end": 1618.74, "word": " معادل", "probability": 0.9768880208333334}, {"start": 1618.74, "end": 1619.16, "word": " للجسم", "probability": 0.9588216145833334}, {"start": 1619.16, "end": 1619.64, "word": " التاني", "probability": 0.892578125}, {"start": 1619.64, "end": 1619.8, "word": " و", "probability": 0.712890625}, {"start": 1619.8, "end": 1620.22, "word": " بطلع", "probability": 0.856689453125}, {"start": 1620.22, "end": 1620.58, "word": " قيمة", "probability": 0.9900716145833334}, {"start": 1620.58, "end": 1620.72, "word": " ال", "probability": 0.93408203125}, {"start": 1620.72, "end": 1621.14, "word": " acceleration", "probability": 0.79248046875}, {"start": 1621.14, "end": 1621.72, "word": " بدمج", "probability": 0.8958333333333334}, {"start": 1621.72, "end": 1622.3, "word": " المعادلتين", "probability": 0.9226888020833334}, {"start": 1622.3, "end": 1622.44, "word": " مع", "probability": 0.98388671875}, {"start": 1622.44, "end": 1622.7, "word": " بعض", "probability": 0.9931640625}, {"start": 1622.7, "end": 1623.38, "word": " بعوضها", "probability": 0.7984619140625}, {"start": 1623.38, "end": 1624.36, "word": " بعوضهم", "probability": 0.730615234375}, {"start": 1624.36, "end": 1624.5, "word": " في", "probability": 0.81982421875}, {"start": 1624.5, "end": 1624.8, "word": " بعض", "probability": 0.987548828125}, {"start": 1624.8, "end": 1624.96, "word": " و", "probability": 0.83984375}, {"start": 1624.96, "end": 1625.38, "word": " بطلع", "probability": 0.97705078125}, {"start": 1625.38, "end": 1625.86, "word": " قيمة", "probability": 0.9951171875}, {"start": 1625.86, "end": 1626.04, "word": " ال", "probability": 0.875}, {"start": 1626.04, "end": 1626.14, "word": " a", "probability": 0.650390625}, {"start": 1626.14, "end": 1626.24, "word": " و", "probability": 0.95068359375}, {"start": 1626.24, "end": 1626.38, "word": " بعد", "probability": 0.93408203125}, {"start": 1626.38, "end": 1626.48, "word": " ما", "probability": 0.8134765625}, {"start": 1626.48, "end": 1626.72, "word": " اطلع", "probability": 0.8465576171875}, {"start": 1626.72, "end": 1627.06, "word": " قيمة", "probability": 0.99072265625}, {"start": 1627.06, "end": 1627.16, "word": " ال", "probability": 0.93115234375}, {"start": 1627.16, "end": 1627.24, "word": " a", "probability": 0.931640625}, {"start": 1627.24, "end": 1627.64, "word": " ممكن", "probability": 0.96240234375}, {"start": 1627.64, "end": 1627.86, "word": " اذا", "probability": 0.812255859375}, {"start": 1627.86, "end": 1628.12, "word": " طلب", "probability": 0.95068359375}, {"start": 1628.12, "end": 1628.3, "word": " من", "probability": 0.9736328125}, {"start": 1628.3, "end": 1628.72, "word": " الشد", "probability": 0.9541015625}, {"start": 1628.72, "end": 1629.14, "word": " اطلع", "probability": 0.95947265625}, {"start": 1629.14, "end": 1629.56, "word": " قيمة", "probability": 0.99365234375}, {"start": 1629.56, "end": 1630.12, "word": " الشد", "probability": 0.983154296875}, {"start": 1630.12, "end": 1630.74, "word": " و", "probability": 0.5576171875}, {"start": 1630.74, "end": 1630.96, "word": " هيك", "probability": 0.982177734375}, {"start": 1630.96, "end": 1631.24, "word": " بيكون", "probability": 0.78759765625}, {"start": 1631.24, "end": 1631.74, "word": " خلصنا", "probability": 0.9398193359375}, {"start": 1631.74, "end": 1632.24, "word": " المحاضرة", "probability": 0.9827880859375}, {"start": 1632.24, "end": 1632.56, "word": " الجاي", "probability": 0.557861328125}, {"start": 1632.56, "end": 1632.64, "word": " ان", "probability": 0.77099609375}, {"start": 1632.64, "end": 1632.84, "word": " شاء", "probability": 0.94189453125}, {"start": 1632.84, "end": 1632.98, "word": " الله", "probability": 0.93408203125}, {"start": 1632.98, "end": 1633.56, "word": " بتتكلم", "probability": 0.8056640625}, {"start": 1633.56, "end": 1634.2, "word": " على", "probability": 0.58837890625}, {"start": 1634.2, "end": 1634.56, "word": " سطح", "probability": 0.9755859375}, {"start": 1634.56, "end": 1635.04, "word": " الراف", "probability": 0.6766764322916666}, {"start": 1635.04, "end": 1635.36, "word": " و", "probability": 0.9384765625}, {"start": 1635.36, "end": 1635.62, "word": " حاجة", "probability": 0.9632161458333334}, {"start": 1635.62, "end": 1636.12, "word": " اسمها", "probability": 0.9739583333333334}, {"start": 1636.12, "end": 1636.5, "word": " the", "probability": 0.17919921875}, {"start": 1636.5, "end": 1637.0, "word": " friction", "probability": 0.96728515625}, {"start": 1637.0, "end": 1637.74, "word": " force", "probability": 0.98388671875}, {"start": 1637.74, "end": 1637.94, "word": " و", "probability": 0.7763671875}, {"start": 1637.94, "end": 1638.48, "word": " بيعطيكم", "probability": 0.7708984375}, {"start": 1638.48, "end": 1639.42, "word": " العافية", "probability": 0.9236653645833334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1640.0021875, "duration_after_vad": 1590.9431249999973}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/HFeraqUtQUQ_raw.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/HFeraqUtQUQ_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..2c44681103b5665ecaf675e193e9c6255c4e11bd
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/HFeraqUtQUQ_raw.srt
@@ -0,0 +1,1312 @@
+1
+00:00:05,480 --> 00:00:08,500
+السلام عليكم يعطيكوا العافية و ان شاء الله يكونوا
+
+2
+00:00:08,500 --> 00:00:13,040
+بصحة جيدة و الله بنوفقكم و يساعدكم اليوم ان شاء
+
+3
+00:00:13,040 --> 00:00:17,540
+الله بنتكمل في chapter رقم أربعة طبعا نرجع ملخص
+
+4
+00:00:17,540 --> 00:00:22,540
+سريعا chapter أربعة chapter أربعة Newton's law of
+
+5
+00:00:22,540 --> 00:00:25,520
+motion بتتكلم عن قوانين نيوتن التلاتة للتذكير
+
+6
+00:00:25,520 --> 00:00:27,840
+قوانين نيوتن التلاتة هو الحاجة فيها اندي القانون
+
+7
+00:00:27,840 --> 00:00:33,450
+الأول ايش هو القانون الأول بيقول انهيبقى الجسم على
+
+8
+00:00:33,450 --> 00:00:37,750
+حالته من السكون أو الحركة ما لم تؤثر عليه قوة غير
+
+9
+00:00:37,750 --> 00:00:42,330
+إيش من حالتهفي عندى اول القانون التانى طبعا اتكلم
+
+10
+00:00:42,330 --> 00:00:46,250
+عن ال force بانواع المحاضرة السابقة القانون التانى
+
+11
+00:00:46,250 --> 00:00:49,190
+اللى هو summation لل force مجموعة القوى المؤثرة
+
+12
+00:00:49,190 --> 00:00:54,370
+على الجسم تتناسب مع اللى هو ال acceleration تناسب
+
+13
+00:00:54,370 --> 00:00:56,950
+مترضيا او ال acceleration تتناسب مع مجموعة القوى
+
+14
+00:00:56,950 --> 00:01:00,410
+المؤثرة على الجسم وكذلك ال acceleration تتناسب
+
+15
+00:01:00,410 --> 00:01:05,090
+عكسيا مع الكتلة مع كتلة هذا الجسم زى ان ال
+
+16
+00:01:05,090 --> 00:01:09,660
+accelerationof the object is directly proportional
+
+17
+00:01:09,660 --> 00:01:17,500
+to the net force action on it يعني بتناسب طبيعيا
+
+18
+00:01:17,500 --> 00:01:22,920
+مع مين مع هذا الجسم مع القوة المؤثرة على هذا الجسم
+
+19
+00:01:23,600 --> 00:01:27,120
+و بتتناسب عكسيا مع مين؟ مع الكتلة و أخدناه و حلينا
+
+20
+00:01:27,120 --> 00:01:30,160
+عليه و قولنا هذا التطبيق أو هذا القانون مهم جدا في
+
+21
+00:01:30,160 --> 00:01:34,500
+التطبيق على المسائل مقام بعد هيكا أخدنا اللي هو
+
+22
+00:01:34,500 --> 00:01:37,960
+third law third law لكل فعل رد فعل مساوي له في
+
+23
+00:01:37,960 --> 00:01:41,280
+المقدار و ضاد له في الاتجاه في ان دي action و في
+
+24
+00:01:41,280 --> 00:01:44,360
+reaction ال action و reaction متساويات متعاكسات في
+
+25
+00:01:44,360 --> 00:01:47,120
+الإشعار متعاكسات في الاتجاه و قولنا لما ال vector
+
+26
+00:01:47,120 --> 00:01:49,660
+تكون إشعار سالب معناته هذا بيبين in opposite
+
+27
+00:01:49,660 --> 00:01:54,510
+direction و كل واحد بيأثر على جسم مختلفعالجسم ال
+
+28
+00:01:54,510 --> 00:01:58,050
+action ع الجسم و ال reaction ع الجسم التاني قولت
+
+29
+00:01:58,050 --> 00:02:00,230
+حاجة في ال free book قبل ما أحل أي مسألة بدأ أرسم
+
+30
+00:02:00,230 --> 00:02:02,410
+ال free body diagram إذا ما أنا رسمتش ال free body
+
+31
+00:02:02,410 --> 00:02:06,010
+diagram مش هعرف حل هذه المسألة إذا بدأ أرسم ال
+
+32
+00:02:06,010 --> 00:02:10,580
+free body diagramبعد ما رسمنا ال free body diagram
+
+33
+00:02:10,580 --> 00:02:14,720
+ببدأ أحل المسألة تبعا القطوات اللي ذكرناها طبعا
+
+34
+00:02:14,720 --> 00:02:18,660
+باخد محاور X باخد اتجاه الحركة الاتجاه الموجب عكس
+
+35
+00:02:18,660 --> 00:02:21,560
+الحركة الاتجاه السالب القول في عكس اتجاه الحركة
+
+36
+00:02:21,560 --> 00:02:26,060
+بحطها بإشارة سالب و ببدأ أحل مثلا لفوق موجب لتحت
+
+37
+00:02:26,060 --> 00:02:29,580
+السالب و أخدنا المثال الأول و بعدين أخدنا المثال
+
+38
+00:02:29,580 --> 00:02:32,840
+التاني و حسبت المثال التاني المجهي اللي موجود عندى
+
+39
+00:02:32,840 --> 00:02:36,000
+حسبت ال acceleration و طلعت ال acceleration للجسم
+
+40
+00:02:36,360 --> 00:02:39,680
+للجسمين وقلت ال acceleration لتنين مالهم متساوية
+
+41
+00:02:39,680 --> 00:02:45,420
+بعد هيك انا اخد انا مثال في اندي الان two blocks
+
+42
+00:02:45,420 --> 00:02:51,140
+are in contact في اندي صندوق اولان وصندوق تاني
+
+43
+00:02:51,140 --> 00:02:54,960
+وتنين مالهم متلامسات جنب بعض محتوطات بهذا الشكل
+
+44
+00:02:54,960 --> 00:03:01,620
+صندوقين اجيت انا ايش عملت او هيك اثرت بقوة على مين
+
+45
+00:03:01,620 --> 00:03:08,900
+على الصندوق الاولa constant force F is applied to
+
+46
+00:03:08,900 --> 00:03:11,840
+one block يعني أثرت على مين؟ على ال block الأولاني
+
+47
+00:03:11,840 --> 00:03:17,000
+بقوة هذه ال block الأولاني أثرت عليه بقوة قيمتها F
+
+48
+00:03:17,000 --> 00:03:24,880
+بدي أحسب ال acceleration of the system رقم اتنين
+
+49
+00:03:24,880 --> 00:03:28,880
+ال contact forceوين ال contact force؟ ال contact
+
+50
+00:03:28,880 --> 00:03:31,920
+force وين نقطة التلامس بينهم؟ طبعا قولنا ال
+
+51
+00:03:31,920 --> 00:03:35,300
+contact force لما عرفناها قولت الجسم الأول ماله
+
+52
+00:03:35,300 --> 00:03:40,780
+بيأثر على الجسم التاني في contact force بينهم في
+
+53
+00:03:40,780 --> 00:03:45,240
+تلامس بينهم مثلا صار في تلامس في قوة بينهم هذه
+
+54
+00:03:45,240 --> 00:03:48,580
+القوة هي ال contact force اللي أنا بده أحسبهاطبعا
+
+55
+00:03:48,580 --> 00:03:53,280
+مباشرة smooth surface بتكلم على سطحي شماله ام less
+
+56
+00:03:53,280 --> 00:03:57,840
+on the smooth surface وقولت السطح الخشن او الرفح
+
+57
+00:03:57,840 --> 00:04:02,200
+هنتكلم عليه في المحاضرة اتجاه ان شاء الله طبعا ال
+
+58
+00:04:02,200 --> 00:04:06,840
+F contact وين هم هنا هيكون في اندي واحدة action
+
+59
+00:04:06,840 --> 00:04:10,740
+وواحدة معاها reaction يعني لو جيت ارسمها بالتفصيل
+
+60
+00:04:10,740 --> 00:04:17,870
+هنا هاي الجسم الأول كتلت امأثرت عليه كنت قلت أم
+
+61
+00:04:17,870 --> 00:04:22,550
+واحد ابقى اف هو ايش معمل بيروح بيأثر على الجسم
+
+62
+00:04:22,550 --> 00:04:26,250
+التاني هاي الجسم التاني نرسمه بعيد شوية هي ام
+
+63
+00:04:26,250 --> 00:04:32,670
+اتنين بيروح هو من التلامس عامل اف contact مأثر على
+
+64
+00:04:32,670 --> 00:04:38,790
+الجسم التاني لكن التاني بيروح عامله رد فعلي واحد
+
+65
+00:04:38,790 --> 00:04:46,280
+action و reaction تانين معاهممتساوين هذه سميتها
+
+66
+00:04:46,280 --> 00:04:54,480
+F12 و F21 F2 على 1 و F1 على 2 إذا القوة اللي بدور
+
+67
+00:04:54,480 --> 00:04:58,420
+عليها ال contact force اللي بينهم هذا التأثير
+
+68
+00:04:58,420 --> 00:05:01,540
+الأول على التاني وهذا التأثير التاني على الأول
+
+69
+00:05:01,540 --> 00:05:08,790
+والتانين معاهم متساويةطيب بعد هيك هذا على سطح أملس
+
+70
+00:05:08,790 --> 00:05:13,170
+لذا بتحرك ب acceleration مثلا سطح أملس معناته لو
+
+71
+00:05:13,170 --> 00:05:16,770
+كانت القوة جد ما تكون اللي هنا لو نفخت على جسمي
+
+72
+00:05:16,770 --> 00:05:22,170
+الأو فوق مثلا سطح أملس على جهي بتحرك بتحركوا اتنين
+
+73
+00:05:22,170 --> 00:05:26,470
+بنفس ال acceleration لأنه اتنين متلامسات لذا هنا
+
+74
+00:05:26,470 --> 00:05:32,160
+ال acceleration اللي موجود عندناقيمتها A وهنا
+
+75
+00:05:32,160 --> 00:05:36,960
+للجسم التاني ال acceleration نفسها A إذا في عندي
+
+76
+00:05:36,960 --> 00:05:39,260
+acceleration للجسم الأول و acceleration للجسم
+
+77
+00:05:39,260 --> 00:05:43,620
+التاني والتانية ماعلم متساوي بعد ما رسمت القوة
+
+78
+00:05:43,620 --> 00:05:47,660
+المؤثرة على الجسم الأول والتاني ماخلصتش في كمان
+
+79
+00:05:47,660 --> 00:05:52,660
+قوة من ال weight اتجاه لوين لأسفل إذا حيكون عند
+
+80
+00:05:52,660 --> 00:05:57,940
+هنا من المنتصف is a uniform بيكون عند M1 في ال G
+
+81
+00:05:58,740 --> 00:06:04,380
+طيب هنا الجسم ضغط على السطح الاملس السطح الاملس
+
+82
+00:06:04,380 --> 00:06:10,680
+ايش بيعمله بيعمل n واحد اسمها normal force اذا من
+
+83
+00:06:10,680 --> 00:06:17,540
+السطح هنا فاندي n واحد اتجاه الأعلى بنفس الكيفية
+
+84
+00:06:17,540 --> 00:06:23,160
+ام اتنين من المنتصف هنا فاندي ام اتنين ال wet الام
+
+85
+00:06:23,160 --> 00:06:28,200
+اتنين فاندي من السطح اللي قاعد عليه هناالـ
+
+86
+00:06:28,200 --> 00:06:35,220
+horizontal surface في عندي N و 1 لاحظوا أسف هنا
+
+87
+00:06:35,220 --> 00:06:40,880
+سميها واحد وهنا سميها اتنين هنا في عندي اي اتنين
+
+88
+00:06:40,880 --> 00:06:46,160
+ناشئ من السطح إذا لو جيت أرسم للجسم الأول القوة
+
+89
+00:06:46,160 --> 00:06:53,200
+المؤثرة عليه F هو الأساسيةبعدين فى عندى ال contact
+
+90
+00:06:53,200 --> 00:06:57,520
+اللى ناشئ من الأول على التانى بس غير ألوانهم هذا
+
+91
+00:06:57,520 --> 00:07:02,220
+من الأول على التهوز الأول زجل التانى لكن التانى
+
+92
+00:07:02,220 --> 00:07:06,760
+إيش عمل رد فعل هذا سميتها اف واحد اتنين وهذا اف
+
+93
+00:07:06,760 --> 00:07:10,940
+اتنين على واحد وهو الاف contact فى عندى
+
+94
+00:07:10,940 --> 00:07:15,580
+acceleration هنا ايه نفس ال acceleration للتانى
+
+95
+00:07:15,580 --> 00:07:23,100
+ايه هيك و الله أعلم واضحالان بدى اجيب الجسم الأول
+
+96
+00:07:23,100 --> 00:07:27,360
+وجيب الجسم التاني هذا اسمه هو اللي رسمته ال free
+
+97
+00:07:27,360 --> 00:07:30,740
+body diagram للجسم الأول وهذا ال free body diagram
+
+98
+00:07:30,740 --> 00:07:35,240
+للجسم التاني اذا اول خطوة دايما في حل المسألة بدى
+
+99
+00:07:35,240 --> 00:07:40,900
+ارسم ال free body diagram لل systemبعد مرسوم ال
+
+100
+00:07:40,900 --> 00:07:46,340
+free body diagram بحدد ال F contact اللي أنا بدور
+
+101
+00:07:46,340 --> 00:07:49,680
+عليه يعني ايش مطلوب مني؟ مطلوب مني حاجتين ال
+
+102
+00:07:49,680 --> 00:07:54,800
+acceleration و ال contact force نيجي نطبق في اتجاه
+
+103
+00:07:54,800 --> 00:07:58,320
+ال X ال summation على الكتلة الأولى ال summation
+
+104
+00:07:58,320 --> 00:08:04,790
+لل force for M1الصممشن للفورس في اتجاه ال X بتساوي
+
+105
+00:08:04,790 --> 00:08:10,230
+M في A X إيش في عندي قوة على الجسم الأول في قوتين
+
+106
+00:08:10,230 --> 00:08:13,910
+الحركة هيبقى ده الاتجاه إذا ناخد ال F موجب هذي
+
+107
+00:08:13,910 --> 00:08:20,950
+بتكون سالبة إذا بقدر أقول الصممشن للفورس بتساوي M
+
+108
+00:08:20,950 --> 00:08:28,390
+في A محور X X سيبنا المواعي الآنSummation of force
+
+109
+00:08:28,390 --> 00:08:30,710
+في اتجاه ال X ايش يعني اندي قوة في اتجاه ال X مع
+
+110
+00:08:30,710 --> 00:08:38,290
+الحركة مع ال A F عكس ال A سالب F ال contact هذا
+
+111
+00:08:38,290 --> 00:08:47,170
+four ام واحد بيساوي M في A X الان ممكن اشيل A X
+
+112
+00:08:47,170 --> 00:08:51,630
+لان كلها في اتجاه الشاشة اندي A Y هذا معادل رقم
+
+113
+00:08:51,630 --> 00:08:56,410
+واحد للجسم الأولاني الان بيفسر كيفية للجسم التاني
+
+114
+00:08:58,010 --> 00:09:02,130
+كما نقول الجسم التاني مع الحركة فيش ال F contact
+
+115
+00:09:02,130 --> 00:09:09,570
+اللي هي اسمها F12 اذا for M2 sumational
+
+116
+00:09:09,570 --> 00:09:14,610
+force بتساوي ال M في ال A اذا بس عند ال F contact
+
+117
+00:09:14,610 --> 00:09:21,230
+نقيمتها بالموجة لانها مع ال acceleration بتساوي M1
+
+118
+00:09:21,230 --> 00:09:27,840
+M2 في ال AXممكن نشيل ال X لإنه مافي اكسلاريشن إلا
+
+119
+00:09:27,840 --> 00:09:32,860
+في اتجاه ال A إلى نفس الكيفية بيجمع واحد و اتنين
+
+120
+00:09:32,860 --> 00:09:39,240
+لما أجمع واحد و اتنين لاحظوا هذه إشارة ما لها
+
+121
+00:09:39,240 --> 00:09:47,440
+إشارتها سالبة لما أجمعهم بيروحوا مع بعض بيصير ال F
+
+122
+00:09:47,440 --> 00:09:54,590
+قيمتها بيتساوى بدي أكتبها هنا M واحد في ال Aزائد
+
+123
+00:09:54,590 --> 00:10:00,090
+M2 في الـ A M1 في ال A زائد M2 في ال A يعني ال F
+
+124
+00:10:00,090 --> 00:10:08,210
+تساوي M1 زائد M2 في ال A ايش بتلاحظه بقى لاحظه انه
+
+125
+00:10:08,210 --> 00:10:15,710
+كأنه ال system تنين مالهم ككتلة واحدة M1 زائد M2
+
+126
+00:10:15,710 --> 00:10:19,830
+كتلة واحدة أثرت عليهم قوة التنين تسارعوا ب
+
+127
+00:10:19,830 --> 00:10:24,320
+acceleration قيمتها A في اتجاه ال Xطب هيك بقدر
+
+128
+00:10:24,320 --> 00:10:29,720
+أطلع قيمة ال A بتساوي ال F على M1 زائد M2 طب نيجي
+
+129
+00:10:29,720 --> 00:10:39,720
+لإذا ننهينا مباشرة بقدر أقول ال A بتساوي F على M1
+
+130
+00:10:39,720 --> 00:10:45,860
+زائد M2 طيب طلعت ال A بمعرفة ال A من المعادلة
+
+131
+00:10:45,860 --> 00:10:48,160
+الأولى أو المعادلة التانية أسهل المعادلة التانية
+
+132
+00:10:48,160 --> 00:10:52,220
+بعوض عن قيمة ال A بجيب قيمة ال F contact إيش بتطلع
+
+133
+00:10:52,220 --> 00:10:56,130
+قيمة ال F contactام اتنين مضروبة في ال a يعني ام
+
+134
+00:10:56,130 --> 00:11:04,030
+اتنين في ال F على ام واحد زائد ام اتنين اذا
+
+135
+00:11:04,030 --> 00:11:07,750
+ال F contact بيساوي ام اتنين في ال F على ام واحد
+
+136
+00:11:07,750 --> 00:11:16,870
+زائد ام اتنين اذا في اي توضيح ممكن تبعته اذا
+
+137
+00:11:16,870 --> 00:11:20,690
+بدكم اي توضيح ممكن نعيدها او اي محاضرة فيها مشكلة
+
+138
+00:11:21,510 --> 00:11:29,310
+أو في استفسار ممكن خلال تعليقات خلال ال model أو
+
+139
+00:11:29,310 --> 00:11:33,030
+خلال التواصل اللي موجود بيننا انكوا تسألوا عنه
+
+140
+00:11:33,030 --> 00:11:38,770
+نيجي الآن لمثال
+
+141
+00:11:38,770 --> 00:11:47,390
+رقم أربعة مثال
+
+142
+00:11:47,390 --> 00:11:56,330
+رقم أربعةبيقول في عندي جسم او رجل في مسعد الماسله
+
+143
+00:11:56,330 --> 00:12:06,190
+80 kilogram موجود داخل مسعد داخل مسعد و عندي ايش
+
+144
+00:12:06,190 --> 00:12:13,990
+بتوزن او ميزان بدي اوجد ال scale reading قراءة هذا
+
+145
+00:12:13,990 --> 00:12:21,190
+الميزان داخل هذا المسعدلما يتحرك أول حاجة ب
+
+146
+00:12:21,190 --> 00:12:25,510
+constant velocity طيب نرجع لما .. قبل ما أكمل
+
+147
+00:12:25,510 --> 00:12:29,850
+المسألة constant velocity إيش معناتها؟ لما الجسم
+
+148
+00:12:29,850 --> 00:12:35,290
+يتحرك بسرعة ثابتة مافيش تغير في السرعة مافيش تغير
+
+149
+00:12:35,290 --> 00:12:41,330
+في السرعة ال acceleration بتساوزي و ليش دورت على
+
+150
+00:12:41,330 --> 00:12:44,290
+ال acceleration؟ لأن ال acceleration إلها علاقة
+
+151
+00:12:44,290 --> 00:12:49,980
+بمين؟ بالأوزان اللي أنا بدي أحسبهاإذا هالجسم أول
+
+152
+00:12:49,980 --> 00:12:55,800
+حاجة وزنه الحقيقي كنته ساموه وزن ظاهر، وزن حقيقي و
+
+153
+00:12:55,800 --> 00:13:01,180
+وزن ظاهر، الوزن الحقيقي المعروف عنده، لكن الوزن
+
+154
+00:13:01,180 --> 00:13:06,530
+داخل المصعد في وزن تاني ظاهراللي هو ممكن يزيد و
+
+155
+00:13:06,530 --> 00:13:10,850
+ممكن يقل و وقتش ممكن يزيد و وقتش ممكن يقل و وقتش
+
+156
+00:13:10,850 --> 00:13:14,310
+ممكن يطلوا الوزن الظاهر و الوزن الحقيقي معاهم
+
+157
+00:13:14,310 --> 00:13:18,810
+متساويين يعني لو سألت سؤال الآن متى الوزن بيزيد
+
+158
+00:13:18,810 --> 00:13:25,130
+ووزن الظاهر بيزيد متى الوزن الظاهر بيقل متى الوزن
+
+159
+00:13:25,130 --> 00:13:30,410
+الظاهر يساوي الوزن الحقيقي او قراءة الميزان بمعنى
+
+160
+00:13:30,410 --> 00:13:37,320
+آخر قراءة الميزان متى بتساويال weight للشخص متى
+
+161
+00:13:37,320 --> 00:13:42,940
+قراءة الميزان بتكون أكبر و متى بتكون أقل ممكن مثل
+
+162
+00:13:42,940 --> 00:13:47,660
+و كان واضح معاكم قبل ذلك أخدتوها لما السمكة معلقة
+
+163
+00:13:47,660 --> 00:13:52,260
+على بعض في ميزان زنبراكي و وجد وزنها و هو طالع و
+
+164
+00:13:52,260 --> 00:13:56,360
+هو نازل نفس الطريقة مش ..مفيش اي اختلافالان بنقول
+
+165
+00:13:56,360 --> 00:13:59,840
+ان الاصناص اللي هي المصعد اللي هي المصعد اللي هي
+
+166
+00:13:59,840 --> 00:13:59,880
+المصعد اللي هي المصعد اللي هي المصعد اللي هي
+
+167
+00:13:59,880 --> 00:13:59,880
+المصعد اللي هي المصعد اللي هي المصعد اللي هي
+
+168
+00:13:59,880 --> 00:14:00,020
+المصعد اللي هي المصعد اللي هي المصعد اللي هي
+
+169
+00:14:00,020 --> 00:14:00,380
+المصعد اللي هي المصعد اللي هي المصعد اللي هي
+
+170
+00:14:00,380 --> 00:14:01,460
+المصعد اللي هي المصعد اللي هي المصعد اللي هي
+
+171
+00:14:01,460 --> 00:14:03,540
+المصعد اللي هي المصعد اللي هي المصعد اللي هي
+
+172
+00:14:03,540 --> 00:14:04,200
+المصعد اللي هي المصعد اللي هي المصعد اللي هي
+
+173
+00:14:04,200 --> 00:14:04,200
+المصعد اللي هي المصعد اللي هي المصعد اللي هي
+
+174
+00:14:04,200 --> 00:14:04,200
+المصعد اللي هي المصعد اللي هي المصعد اللي هي
+
+175
+00:14:04,200 --> 00:14:04,520
+المصعد اللي هي المصعد اللي هي المصعد اللي هي
+
+176
+00:14:04,520 --> 00:14:12,880
+المصعد اللي هي المصعد اللي هي المصعد اللي
+
+177
+00:14:12,880 --> 00:14:17,260
+هي المص
+
+178
+00:14:20,080 --> 00:14:24,940
+إيش القوة المؤثر عليه؟ وزنه الحقيقي لأسفل هو ضابط
+
+179
+00:14:24,940 --> 00:14:29,160
+على الـ scalar بيصير
+
+180
+00:14:29,160 --> 00:14:34,300
+فيه اندراد فعل normal force أو بسميه ال normal
+
+181
+00:14:34,300 --> 00:14:37,620
+force واتجاه لوين؟ لأعلى، إذا بدي أنا ال normal
+
+182
+00:14:37,620 --> 00:14:40,960
+force اللي هي ال normal force من .. بضغط على
+
+183
+00:14:40,960 --> 00:14:46,680
+ميزان، جدش بضغط، بحطيه القراءةمساوية في المقدار و
+
+184
+00:14:46,680 --> 00:14:50,980
+ماعكسة في إيش في الاتجاه طيب لو أنا كان عند المصعد
+
+185
+00:14:50,980 --> 00:14:56,700
+نزل بعجلة الجاذبي الأرضي هل بيضلوا ضغط على الميزان
+
+186
+00:14:56,700 --> 00:15:02,340
+لأ في هذه الحالة بيصير ال acceleration لوين لتحت و
+
+187
+00:15:02,340 --> 00:15:05,440
+بيصير في الشتاء مافيش ضغط أو في الشتاء لأ بس نجي
+
+188
+00:15:06,370 --> 00:15:09,890
+الـ F بيساوي N في A هو الـ A قمتها في الـ Zero إذا
+
+189
+00:15:09,890 --> 00:15:14,310
+في عنده اتجاه الحركة لفوق ولا لتحت مش هيأثر إذا
+
+190
+00:15:14,310 --> 00:15:19,710
+الـ N ناقص الـ M G أو الـ M G ناقص بيساوي Zero إذا
+
+191
+00:15:19,710 --> 00:15:27,490
+الـ N بتساوي الـ M G هذا واكتش هذا إذا كان المصعد
+
+192
+00:15:27,490 --> 00:15:33,830
+صاعد بيكون استنضرست الأعلى أو نازل بيكون استنضرست
+
+193
+00:15:33,830 --> 00:15:40,620
+الأسفل أو واقفأو يقف المصعد بيكون في جميع الحالات
+
+194
+00:15:40,620 --> 00:15:45,780
+هاد عنده ال normal force او ال scalar اللي عنده
+
+195
+00:15:45,780 --> 00:15:51,360
+قيمته بتساوي ال amperage ال scalar اللي عنده قراته
+
+196
+00:15:51,360 --> 00:15:55,600
+او ال reading ال scalar reading قراته بتساوي ال
+
+197
+00:15:55,600 --> 00:16:00,740
+amperage طيب الحالة التانية هذه الحالة الأولى
+
+198
+00:16:00,740 --> 00:16:05,560
+الحالة التانيةماذا عندي؟ بتحرك بـ acceleration
+
+199
+00:16:05,560 --> 00:16:11,460
+قيمتها تلاتة متر per second مرة لفوق و مرة لتحت
+
+200
+00:16:11,460 --> 00:16:19,040
+لما يتحرك لفوق ايش بيصير عندي؟ و لما يتحرك لتحت
+
+201
+00:16:19,040 --> 00:16:24,220
+ايش بيصير عندي؟ لو قلنا بتحرك لفوق
+
+202
+00:16:28,720 --> 00:16:34,260
+هي ايه اكسلاريشن قيمتها بالساوية تلاتة متر per
+
+203
+00:16:34,260 --> 00:16:38,820
+second square ايش بده اعمل نفس الطريقة sumational
+
+204
+00:16:38,820 --> 00:16:42,040
+force بس بالساوية zero sumational force في الحالة
+
+205
+00:16:42,040 --> 00:16:47,840
+التانية بتساوي M في ال A اللي موجود عندى ايش في
+
+206
+00:16:47,840 --> 00:16:54,440
+عندى قوة مع ال A ال N مع ال A ناقص ال M في الجي
+
+207
+00:16:55,230 --> 00:16:58,370
+الان هاد بالنقص نجيلها على الطرف التاني اذا منها
+
+208
+00:16:58,370 --> 00:17:09,310
+الان بتساوي MA زائد M هو تساوي M مضروبة في A زائد
+
+209
+00:17:09,310 --> 00:17:15,530
+G وال A معروف عنده 80 المضروبة
+
+210
+00:17:15,530 --> 00:17:24,380
+في 3 زائد 9.80 بطلع القيمة بتطلع قيمتها جديشالف و
+
+211
+00:17:24,380 --> 00:17:29,380
+اربع و عشرين in Newton لكن هنا لما كان واقف او كان
+
+212
+00:17:29,380 --> 00:17:32,780
+يتحرك سبعمية و اربعة و تمانية ايش بتلاحظه ان الوزن
+
+213
+00:17:32,780 --> 00:17:36,220
+ايش صار فيه عنده increase زاد الوزن لذا هنا فيه
+
+214
+00:17:36,220 --> 00:17:42,360
+زيادة في الوزن المطلوب ب C و هو نازل هذا المطلوب ب
+
+215
+00:17:42,360 --> 00:17:47,180
+المطلوب ب C و هو نازل ب acceleration قيمتها
+
+216
+00:17:47,180 --> 00:17:51,180
+بالساوية تلاتة متر per second ايش اللي هتختلف فقط
+
+217
+00:17:52,800 --> 00:17:54,860
+ناخد الاتجاه في المسألة اللي انا نحاول اتكلمها
+
+218
+00:17:54,860 --> 00:17:58,060
+كانت مسألة جديدة ال a الاسفل بالموجب ايش بيكون
+
+219
+00:17:58,060 --> 00:18:02,900
+عنده ال summation لل force ساوة ال M في ال a
+
+220
+00:18:02,900 --> 00:18:06,180
+تلاحظوا دايما بكتب القانون هنا ال summation لل
+
+221
+00:18:06,180 --> 00:18:08,940
+force ساوة ال M في ال a و ال a في اتجاه ال Y و ال
+
+222
+00:18:08,940 --> 00:18:13,140
+force بتقولها في اتجاه ال Y يزن ال M في ال A
+
+223
+00:18:13,140 --> 00:18:23,400
+بتساوة M اتنين اخدتها بالموجب ناقص ال Mالان بانجل
+
+224
+00:18:23,400 --> 00:18:31,020
+هذهين و هذهين بيصير عندى الان بيساوي M2 فجيه ناقص
+
+225
+00:18:31,020 --> 00:18:38,160
+اين و تساوي M في تسعة point تمانية ناقص تلاتة
+
+226
+00:18:38,160 --> 00:18:40,460
+تمانين في تسعة point تمانين بيطلع خمس مية و اربع
+
+227
+00:18:40,460 --> 00:18:45,120
+اربعين ايش الملاحظ اللى موجود عندى انه الوزن
+
+228
+00:18:45,120 --> 00:18:50,160
+الظاهر جلب طيب السؤال اللى انا اطرحته لو قطع
+
+229
+00:18:50,160 --> 00:18:58,870
+الاصنع مصعدبيصير الان قداش قيمته سقط يعني لتحت ب
+
+230
+00:18:58,870 --> 00:19:03,450
+acceleration قيمتها تسعة بوين تمانية بيصير الان
+
+231
+00:19:03,450 --> 00:19:09,810
+قيمته زيرو اش معناه ان بالساوة زيرو هاي جسم ضغط
+
+232
+00:19:09,810 --> 00:19:17,190
+على الطاولة الان وزنهوالان مالهم متساويين، لو أنا
+
+233
+00:19:17,190 --> 00:19:21,870
+أجيت أسحب الجسم إلى أعلى، بيصير الأن مالها؟ أتقل
+
+234
+00:19:21,870 --> 00:19:25,990
+تدريجيا، الأن بتقل، بتقل، بتقل، لما يصير قيمتها
+
+235
+00:19:25,990 --> 00:19:31,510
+يتديج، zero، بعد ال zero أشمالها؟ بفقد التلامس مع
+
+236
+00:19:31,510 --> 00:19:36,760
+السطحلذن الان في هذه الحالة بده يفقد التلامس معاهم
+
+237
+00:19:36,760 --> 00:19:40,280
+كأنه التنين معاهم فش contact بينهم أو عاشق ال
+
+238
+00:19:40,280 --> 00:19:44,220
+contact اللي بينهم يروح لذن في هذه الحالة الان
+
+239
+00:19:44,220 --> 00:19:49,080
+بالسوزيو يعني هل في ان بالسالب؟ لأ فش ان بالسالب
+
+240
+00:19:49,840 --> 00:19:55,400
+الان بالسالب معناته ان الجسم فقط التلامس و هذا صار
+
+241
+00:19:55,400 --> 00:19:58,680
+يتحرك و مافيش تلامس الان معناته zero مافيش حاجة in
+
+242
+00:19:58,680 --> 00:20:02,360
+بالسالب اذا انا حسبت مسألة و لقيت الان عنده
+
+243
+00:20:02,360 --> 00:20:07,480
+بالسالب معناته ان الجسم ماله يتحركصار الجسم اللى
+
+244
+00:20:07,480 --> 00:20:10,960
+فوق يتحرك عن الجسم اللى تحت أو التانى يتحرك عن
+
+245
+00:20:10,960 --> 00:20:14,960
+الجسم الأولانى صار انفصال بينهم و مع ذلك انفصال
+
+246
+00:20:14,960 --> 00:20:19,960
+بينهم فش normal force او فش contact صار بين الجسم
+
+247
+00:20:19,960 --> 00:20:23,280
+الأول و الجسم التانى و صار ال normal force في هذه
+
+248
+00:20:23,280 --> 00:20:28,040
+الحالة بالساوى zero إذا لما ال a بالساوى g معناتها
+
+249
+00:20:28,040 --> 00:20:33,720
+ال normal force هنا ال normal force لما ال normal
+
+250
+00:20:33,720 --> 00:20:42,920
+force بالساوى صفرأو الـ Scale Reading بتساوي Zero
+
+251
+00:20:42,920 --> 00:20:46,940
+طيب
+
+252
+00:20:46,940 --> 00:20:51,860
+بدي أجيب مثال خارجي و نحله مع بعض و نشوف إيش أنا
+
+253
+00:20:51,860 --> 00:20:57,340
+بدي أعمل مسائل مالها لو كان في محاور X و Y
+
+254
+00:20:57,340 --> 00:21:01,940
+المعروفة طب لو محور تاني كان مش في ال X و Y
+
+255
+00:21:05,300 --> 00:21:08,220
+يعني محاور تاني مش ال X و ال Y اللي أنا عارفهم
+
+256
+00:21:08,220 --> 00:21:16,700
+يعني ما ال X و Y، إيش بدي أعمل؟
+
+257
+00:21:16,700 --> 00:21:21,960
+يعني
+
+258
+00:21:21,960 --> 00:21:25,620
+لو أنا دي جسم بهذا الشكل، سطح كمان مره بيقول سطح
+
+259
+00:21:25,620 --> 00:21:31,520
+أملس، سطح أملس و حطيت عليه box هنا، قتلته أمريكا
+
+260
+00:21:32,130 --> 00:21:36,510
+أيش بيصير فيه بيصير طبعا بدأ ارسم ال free body
+
+261
+00:21:36,510 --> 00:21:41,870
+diagram هذا بزاوية قيمتها θ كنا لحل هذه المسألة
+
+262
+00:21:41,870 --> 00:21:47,050
+أول حاجة ال weight دايما لوين اتجاهه من المركز هنا
+
+263
+00:21:47,050 --> 00:21:55,770
+و عمودي لأسفل هذا M كل جيه في عند ال normal force
+
+264
+00:21:55,770 --> 00:21:59,550
+هو تلامس
+
+265
+00:22:00,350 --> 00:22:03,670
+الـ Normal Force العمودية أو القوة العمودية إنها
+
+266
+00:22:03,670 --> 00:22:10,530
+شمع من السطح ورمزها N في قوة تانية بتأثر على
+
+267
+00:22:10,530 --> 00:22:15,370
+الجسم؟ لأ، السطح أملس هاي القوتين اللي موجودات
+
+268
+00:22:15,370 --> 00:22:19,910
+عنده لما كانوا على سطح أفقي بهذا الشكل كانوا زي
+
+269
+00:22:19,910 --> 00:22:26,970
+هيكا هاي ال MG و هاي ال Nلكن انا دايما عموديا
+
+270
+00:22:26,970 --> 00:22:30,990
+دايما عموديا على السطح هاي السطح اللى موجود عندى و
+
+271
+00:22:30,990 --> 00:22:36,170
+الان عموديا عليه ال MG دايما وين اتجاهها لأسفل مع
+
+272
+00:22:36,170 --> 00:22:43,450
+أسطر الصفحة لتحت بدي اخد الان و اقول في الحل اذا
+
+273
+00:22:43,450 --> 00:22:48,350
+ذاكرين في عندى محاور محور X و محور Y وين اخد محور
+
+274
+00:22:48,350 --> 00:22:51,190
+اذا اخدت محور X زي هيك و محور Y
+
+275
+00:22:54,770 --> 00:22:58,310
+هيغلبنا شويه في الحلقة ده اضطر ال acceleration
+
+276
+00:22:58,310 --> 00:23:03,790
+احللها لأ لكن الاسهل قلنا دايما اشوف الحركة في
+
+277
+00:23:03,790 --> 00:23:08,390
+البداية وين اتجاهها الجسم هذا متوقع وين يتحرك
+
+278
+00:23:08,390 --> 00:23:13,110
+ينزلق على هذا السطح المائل هذا horizontal اسف
+
+279
+00:23:13,110 --> 00:23:19,330
+smooth surface سطح عملس اذا متوقع انه ينزلق على
+
+280
+00:23:19,330 --> 00:23:23,210
+هذا السطح المائل بنزلق بهذا الاكتشاف اذا هاي ال
+
+281
+00:23:23,210 --> 00:23:29,700
+accelerationأريد أن أخذ محور X هيوم مع الـ
+
+282
+00:23:29,700 --> 00:23:36,220
+acceleration و Y هو العمود عليه المحاور مهم جدا أو
+
+283
+00:23:36,220 --> 00:23:42,080
+بتسهل علي حل المسألة محور X هيوم محور Y هيوم محور
+
+284
+00:23:42,080 --> 00:23:52,460
+Y هيوم محور X هيوم الزاوية هذه ثيتا هذه قائمة لو
+
+285
+00:23:52,460 --> 00:23:57,200
+قلنا هذه تلاتين مثلا كمثالثلاثين وهذه قائمة هذه
+
+286
+00:23:57,200 --> 00:24:02,240
+ستين هذه تكون تلاتين يعني هذه ثيتا اللي بتساوي
+
+287
+00:24:02,240 --> 00:24:08,780
+تلاتين كمثالة اذا هذه ثيتا هنا ثيتا هذا vector
+
+288
+00:24:08,780 --> 00:24:14,480
+اتجاهه بهذا الشكل اذا له تحليل في اتجاه ال X و
+
+289
+00:24:14,480 --> 00:24:19,560
+اتجاه ال Y هذا محور X وهذا محور Y القريب من
+
+290
+00:24:19,560 --> 00:24:24,100
+الزاوية باخد Xأسف القريب من الزاوية باخد الـ
+
+291
+00:24:24,100 --> 00:24:30,560
+cosine إذا هنا هيكون عند مج كصين الزاوية وهنا
+
+292
+00:24:30,560 --> 00:24:38,420
+البعيد باخد مج صين الزاوية إذا القريب باخد كصين ج
+
+293
+00:24:38,420 --> 00:24:44,190
+بالتمام جتا والبعيد باخد الصينصارت القوة كلها
+
+294
+00:24:44,190 --> 00:24:47,450
+معروفة في محور X ومحور Y ايش بدأ اقول ال summation
+
+295
+00:24:47,450 --> 00:24:55,850
+لل force في اتجاه ال X بتساوي ل M في A X وتساوي M
+
+296
+00:24:55,850 --> 00:25:00,050
+G Sin الزاوية في غيرها ال M مع ال M اذا ال A
+
+297
+00:25:00,050 --> 00:25:03,690
+بتساوي G Sin الزاوية هاي قيمة ال acceleration على
+
+298
+00:25:03,690 --> 00:25:10,290
+سطح مائن طيب الان الان ايش هتساوي قيمته هل هتساوي
+
+299
+00:25:10,290 --> 00:25:16,830
+ال M G زي المسألة هذه لأالان هنا ناقص الام جي
+
+300
+00:25:16,830 --> 00:25:23,490
+كوساين الزاوية بيساوي Zero فاش حركة في اتجاه محور
+
+301
+00:25:23,490 --> 00:25:29,360
+Y لذا منها الان بتساوي ام جي كوساين الزاويةوليس
+
+302
+00:25:29,360 --> 00:25:32,480
+عمجي زي ما كنا عارفين على السطح ال horizontal إذا
+
+303
+00:25:32,480 --> 00:25:36,780
+لما يكون السطح مائل نقطة مهم جدا أخد المحاور
+
+304
+00:25:36,780 --> 00:25:40,660
+بطريقة مالها صحيحة للحل إذا بدي أحدد المحاور
+
+305
+00:25:40,660 --> 00:25:44,840
+بطريقة صحيحة بقالاج المسألة السهل في الحل صارت
+
+306
+00:25:44,840 --> 00:25:48,980
+سهلة لكن إذا أنا ماحددتش المحاور بطريقة صحيحة ممكن
+
+307
+00:25:48,980 --> 00:25:52,480
+أتغلب في حل المسألة إذا هذا كمثال لما يكون السطح
+
+308
+00:25:52,480 --> 00:25:57,500
+عنده مش horizontal مش أفقي سطح عنده مائل إبزاوي
+
+309
+00:25:57,500 --> 00:26:03,250
+مقدارهاممكن يكون المسائل الأن بأشكال مختلفة ممكن
+
+310
+00:26:03,250 --> 00:26:07,310
+يكون بهذا الشكل عنده و هنا فيه بكرة زي دمجت
+
+311
+00:26:07,310 --> 00:26:11,630
+الاتنين مع بعض هذا الجسم الأولاني او واحد و هذا
+
+312
+00:26:11,630 --> 00:26:17,930
+الجسم التاني ايش بده اعمل هو الحركة أول حاجةبدي
+
+313
+00:26:17,930 --> 00:26:21,550
+اشوف الحركة M2 هو اللي بده ينزل ولا M1 هو اللي بده
+
+314
+00:26:21,550 --> 00:26:25,790
+ينزل على سطح عاملك بعد ما اشوف M1 و M2 بدي احدد
+
+315
+00:26:25,790 --> 00:26:28,530
+مثلا قلت هذا بدي يطلع لفوق هذا الحركة بدي تكون زي
+
+316
+00:26:28,530 --> 00:26:31,750
+هيك هذا بدي ينزل لتحت ال A نفس ال A لان هم مربوطين
+
+317
+00:26:31,750 --> 00:26:34,550
+بنفس الخيط اتفقنا من البداية من المثال السابق في
+
+318
+00:26:34,550 --> 00:26:38,010
+المحاضرة السابقة بعد هيك التحليل هذا بيصير زي هذا
+
+319
+00:26:38,010 --> 00:26:45,210
+التحليل تحلل هنا G Sin الزاوية M G Sin الزاوية هنا
+
+320
+00:26:45,210 --> 00:26:51,340
+عند M Gكسوين الزاوية هنا في ال N هنا في ال T وهذا
+
+321
+00:26:51,340 --> 00:26:56,380
+نفس ال T وهنا عند M اتنين في ال Gو بعد هيك بكون
+
+322
+00:26:56,380 --> 00:27:00,580
+معادل للجسم الأول و معادل للجسم التاني و بطلع قيمة
+
+323
+00:27:00,580 --> 00:27:03,380
+ال acceleration بدمج المعادلتين مع بعض بعوضها
+
+324
+00:27:03,380 --> 00:27:07,060
+بعوضهم في بعض و بطلع قيمة ال a و بعد ما اطلع قيمة
+
+325
+00:27:07,060 --> 00:27:10,960
+ال a ممكن اذا طلب من الشد اطلع قيمة الشد و هيك
+
+326
+00:27:10,960 --> 00:27:14,200
+بيكون خلصنا المحاضرة الجاي ان شاء الله بتتكلم على
+
+327
+00:27:14,200 --> 00:27:17,940
+سطح الراف و حاجة اسمها the friction force و
+
+328
+00:27:17,940 --> 00:27:19,420
+بيعطيكم العافية
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/HYoa9VwCxRo.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/HYoa9VwCxRo.srt
new file mode 100644
index 0000000000000000000000000000000000000000..36c44ce1e26c129ca51fc1b861e6b1d934f494d3
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/HYoa9VwCxRo.srt
@@ -0,0 +1,705 @@
+1
+00:00:06,080 --> 00:00:12,540
+نكمل اليوم في ضرب المتجهات. طبعا في المحاضرة السابقة
+
+2
+00:00:12,540 --> 00:00:16,020
+ضرب المتجهات من نوعين. اتكلمنا في
+
+3
+00:00:16,020 --> 00:00:19,640
+المحاضرة السابقة عن الضرب القياسي اللي هو كان vector
+
+4
+00:00:19,640 --> 00:00:29,940
+ضرب vector  بيعطينا scalar. اليوم سيكون هناك اختلاف
+
+5
+00:00:29,940 --> 00:00:34,000
+اليوم عندي vector في vector
+
+6
+00:00:37,140 --> 00:00:42,920
+في الـ vector يعطيني vector. هذا يسمى dot product
+
+7
+00:00:42,920 --> 00:00:48,740
+وهذا اسمه cross product أو vector product أو
+
+8
+00:00:48,740 --> 00:00:52,880
+cross product. cross product أو vector product لأن
+
+9
+00:00:52,880 --> 00:00:57,660
+النتيجة  vector. يعني بمعنى آخر كمية فيزيائية
+
+10
+00:00:57,660 --> 00:01:02,580
+متجهة. كمية فيزيائية متجهة. إنها  تُعبر عندك عن
+
+11
+00:01:02,580 --> 00:01:06,620
+كمية فيزيائية ليست متجهة. وهذا نبدأ نقول عليه
+
+12
+00:01:06,620 --> 00:01:10,700
+أمثلة مثل الـ torque. الـ torque عبارة عن
+
+13
+00:01:10,700 --> 00:01:14,900
+كمية فيزيائية ليست متجهة.  مثال آخر: displacement
+
+14
+00:01:14,900 --> 00:01:20,910
+across force. عند R cross F كمية فيزيائية متجهة
+
+15
+00:01:20,910 --> 00:01:25,530
+displacement  في كمية فيزيائية، القوة تعطينا عند
+
+16
+00:01:25,530 --> 00:01:29,590
+الـ torque،  وهو كمية فيزيائية متجهة.  طب لو كان عندي vector
+
+17
+00:01:29,590 --> 00:01:33,130
+A وهذا
+
+18
+00:01:33,130 --> 00:01:44,500
+يساوي Ax في اتجاه I زائد Ay في اتجاه J زائد Az في اتجاه K.  والـ vector
+
+19
+00:01:44,500 --> 00:01:50,360
+الثاني B يساوي Bx في اتجاه I زائد By في اتجاه J زائد Bz في اتجاه K.
+
+20
+00:01:50,360 --> 00:01:56,360
+(The repetition of "بي زي بي" is likely a transcription error and should be removed)
+
+21
+00:01:56,360 --> 00:02:00,160
+(The repetition of "بي زي بي" is likely a transcription error and should be removed)
+
+22
+00:02:00,160 --> 00:02:12,340
+(The repetition of "بي زي بي" is likely a transcription error and should be removed)
+
+23
+00:02:12,340 --> 00:02:21,370
+بهذه القيمة A cross B تساوي AB sin الزاوية بين
+
+24
+00:02:21,370 --> 00:02:26,470
+الـ A و بين الـ B. إذا بقدر أقول القيمة للمتجه هي
+
+25
+00:02:26,470 --> 00:02:30,290
+عبارة عن AB sin الزاوية بين الـ A و بين الـ B.
+
+26
+00:02:32,970 --> 00:02:37,450
+طيب اتجاهه؟  يجب أن نحدد قيمة
+
+27
+00:02:37,450 --> 00:02:42,150
+النتيجة باستخدام right hand rule.  بقدر أُحدد من خلالها
+
+28
+00:02:42,150 --> 00:02:46,930
+الاتجاه. كيف بقدر أُحدد الاتجاه؟ لو أنا عندي
+
+29
+00:02:46,930 --> 00:02:51,230
+vector A وهذا الـ vector A وهذا الـ vector الثاني
+
+30
+00:02:51,230 --> 00:02:51,850
+vector B
+
+31
+00:02:54,840 --> 00:02:58,820
+لاحظوا الزاوية بين الـ A و بين الـ B. لاحظوا الزاوية
+
+32
+00:02:58,820 --> 00:03:01,500
+بين الـ A و الـ B لأنها منطلقة من نقطة أو
+
+33
+00:03:01,500 --> 00:03:07,900
+داخلة لنفس النقطة. A cross B كيف نحدد اتجاهها؟ أصابع
+
+34
+00:03:07,900 --> 00:03:12,480
+يدي في اتجاه المتجه الأول تتحرك إلى
+
+35
+00:03:12,480 --> 00:03:17,980
+اتجاه المتجه الثاني. الإبهام يكون هو cross
+
+36
+00:03:17,980 --> 00:03:22,500
+product للمتجهات. اتجاهه إلى أين؟ يكون اتجاهه في هذه
+
+37
+00:03:22,500 --> 00:03:26,000
+الحالة للخارج.  هذا C في اتجاه الـ K الخارجي. ما نحن
+
+38
+00:03:26,000 --> 00:03:30,040
+قلنا اتجاهه في اتجاه الـ K أو بقدر أحط
+
+39
+00:03:30,040 --> 00:03:35,120
+إشارته. إذا A cross B متجه جديد
+
+40
+00:03:35,120 --> 00:03:40,860
+قيمته، هذه قيمته، لكن اتجاهه أين؟ في اتجاه
+
+41
+00:03:40,860 --> 00:03:46,430
+الـ K. إذا A cross B له قيمة واتجاه. طيب لو أنا
+
+42
+00:03:46,430 --> 00:03:55,670
+قلت B cross A. ماذا سيختلف في B cross
+
+43
+00:03:55,670 --> 00:04:01,150
+A؟ سيُعطينا متجه جديد. هل قيمته ستختلف؟
+
+44
+00:04:01,150 --> 00:04:09,810
+قيمته هي نفس القيمة. لماذا؟ B في A في sin الزاوية بين
+
+45
+00:04:09,810 --> 00:04:17,630
+الـ B و الـ A.  ضرب المتجهات غير إبدالي في القيمة.  
+
+46
+00:04:17,630 --> 00:04:22,110
+sin الزاوية. إذا هاتان القيمتان متساويتان. إذا A
+
+47
+00:04:22,110 --> 00:04:27,590
+cross B و B cross A قيمتهما متساويتان، لكن تعالوا
+
+48
+00:04:27,590 --> 00:04:32,590
+على الرسم لنحدد باستخدام right hand rule كيف اتجاه
+
+49
+00:04:32,590 --> 00:04:38,080
+B cross A. هذا B cross A.  أصابعي ستتجه
+
+50
+00:04:38,080 --> 00:04:42,500
+إلى أين؟ إلى A. الإبهام في أي اتجاه؟  هذا B
+
+51
+00:04:42,500 --> 00:04:47,130
+اتجاهه.  A هو اتجاه الأصابع التي تتحرك
+
+52
+00:04:47,130 --> 00:04:52,650
+إلى أين؟ إلى اتجاه A. إذا الأصابع تدور باتجاه A
+
+53
+00:04:52,650 --> 00:04:56,130
+تدور باتجاه A. وصلت إلى اتجاه A.
+
+54
+00:04:56,130 --> 00:04:59,530
+كان B هكذا، ثم تغير اتجاهه إلى A
+
+55
+00:04:59,530 --> 00:05:05,070
+إبهامي اتجاهه للداخل. إذا هنا أقول حاصل الضرب
+
+56
+00:05:05,070 --> 00:05:10,370
+ماذا؟ عبارة عن  cross product  يساوي سالب K.
+
+57
+00:05:10,370 --> 00:05:16,110
+اتجاهها للداخل. إذن A cross B و B cross A
+
+58
+00:05:16,110 --> 00:05:19,630
+ما الفرق بينهما؟ الـ magnitude نفس الـ magnitude
+
+59
+00:05:19,630 --> 00:05:23,830
+لكن الإشارة مختلفة، إشارة سالبة. ونحن نعرف أن هذا
+
+60
+00:05:23,830 --> 00:05:27,670
+Vector  وهذا Vector قيمتهما متساويتان، الإشارة
+
+61
+00:05:27,670 --> 00:05:31,190
+السالبة تُعبر عن الاتجاه في الـ Vector. يعني هذا
+
+62
+00:05:31,190 --> 00:05:36,090
+اتجاه A cross B كان للخارج، لكن B cross
+
+63
+00:05:36,090 --> 00:05:40,810
+A اتجاهه للداخل.  إذن الاختلاف هو أن A cross B
+
+64
+00:05:40,810 --> 00:05:46,510
+لا يساوي B cross A.  بينهما اختلاف. ننتقل إلى
+
+65
+00:05:46,510 --> 00:05:51,610
+unit vector.  نذكر unit vector الـ I في محور X
+
+66
+00:05:51,610 --> 00:05:58,910
+ومحور Y ومحور Z.  X, Y, Z  لدينا unit vector في
+
+67
+00:05:58,910 --> 00:06:02,710
+unit vector مرة أخرى للتذكير، هو عبارة عن متجه
+
+68
+00:06:02,710 --> 00:06:06,690
+قيمته واحد. فلما أقول عندي I
+
+69
+00:06:09,320 --> 00:06:14,800
+الـ I هو عبارة عن متجه قيمته واحد في اتجاه الـ
+
+70
+00:06:14,800 --> 00:06:18,340
+X.  كذلك نفس الشيء في اتجاه الـ Y، لدينا متجه
+
+71
+00:06:18,340 --> 00:06:22,720
+الوحدة J، وفي اتجاه الـ Z لدينا الـ K، وهو متجه
+
+72
+00:06:22,720 --> 00:06:28,780
+الوحدة.  الثلاثة متعامدة على محاور X، الـ
+
+73
+00:06:28,780 --> 00:06:33,700
+corner الموجودة هناك، X و Y و Z ثلاثة محاور
+
+74
+00:06:33,700 --> 00:06:42,310
+متعامدة. الآن ننتقل إلى I cross I.  متجه الـ I cross
+
+75
+00:06:42,310 --> 00:06:48,650
+متجه الـ I، ماذا ينتج؟ الـ I متجه، قيمته كم؟
+
+76
+00:06:48,650 --> 00:06:53,930
+واحد. القيمة في المتجه الثاني، اللي هو المتجه B
+
+77
+00:06:53,930 --> 00:06:59,510
+قيمته كم؟  واحد في sin الزاوية بينهما.
+
+78
+00:06:59,510 --> 00:07:04,810
+sin الزاوية بين المتجهين هي نفسها.
+
+79
+00:07:04,810 --> 00:07:10,680
+الزاوية صفر. sin صفر كم؟ صفر. إذا
+
+80
+00:07:10,680 --> 00:07:14,480
+I cross I يعطينا صفر. إذا I cross
+
+81
+00:07:14,480 --> 00:07:21,760
+I كلها ستعطينا كم؟ صفر.  عكس الـ scalar. طيب
+
+82
+00:07:21,760 --> 00:07:32,900
+لو كان عندي اختلاف بينهما. I cross J ماذا
+
+83
+00:07:32,900 --> 00:07:39,150
+يعطينا؟ واحد في واحد في sin 90 يعطينا واحد. إذن
+
+84
+00:07:39,150 --> 00:07:45,430
+يعطينا متجه قيمته واحد.  عمودي على ماذا؟
+
+85
+00:07:45,430 --> 00:07:50,070
+على I و J. لاحظوا الملاحظة هنا. لاحظوا C هنا
+
+86
+00:07:50,070 --> 00:07:54,610
+كان عمودياً على ماذا؟ على A و B.  إذن أيضاً
+
+87
+00:07:54,610 --> 00:08:02,770
+حاصل ضرب اتجاهي لأي متجهين هو متجه جديد يكون
+
+88
+00:08:02,770 --> 00:08:07,270
+متعامداً على ماذا؟ على المتجه الأول والمتجه الثاني.
+
+89
+00:08:07,270 --> 00:08:13,010
+متعامد على متجه A ومتجه B.  إذاً I cross J ماذا يعطينا؟
+
+90
+00:08:13,010 --> 00:08:17,110
+متجه قيمته واحد، لكن اتجاهه عمودي على I
+
+91
+00:08:17,110 --> 00:08:21,730
+و J، اللي هو K.  كذلك، لو جئنا للمتجهة
+
+92
+00:08:21,730 --> 00:08:24,830
+الثانية J cross K يعطينا I، و K cross I
+
+93
+00:08:24,830 --> 00:08:30,890
+يعطينا J. لاحظوا الدوران. لدينا I, J  بهذا
+
+94
+00:08:30,890 --> 00:08:34,330
+الشكل، يعني
+
+95
+00:08:34,330 --> 00:08:38,610
+أنا أرسمها. بعد الرسم، أقول عكس عقارب الساعة
+
+96
+00:08:38,610 --> 00:08:44,480
+يعطينا الإشارة الموجبة. طب لو أنا عكستهم، قلت
+
+97
+00:08:44,480 --> 00:08:51,760
+العكس، لن يحصلنا على سالب K. المتجه في اتجاه معاكس
+
+98
+00:08:51,760 --> 00:08:58,160
+طبقاً لقاعدة اليد اليمنى.  ننتقل الآن للمتجه A
+
+99
+00:08:58,160 --> 00:09:04,240
+ومتجَه B. هاتين قيمتيهما، وسأعمل cross product cross
+
+100
+00:09:04,240 --> 00:09:08,400
+product.  ماذا سنفعل؟ سنحصل على A cross
+
+101
+00:09:08,400 --> 00:09:16,370
+product.  Bx, Ay, Bx, Ay, Bx, Ay, Bx
+
+102
+00:09:16,370 --> 00:09:21,890
+Ay, Bx, Ay, Bx, Ay, Bx, Ay, Bx
+
+103
+00:09:21,890 --> 00:09:22,230
+(The repetition of "اي بي اكس اي بي" is likely a transcription error and should be removed)
+
+104
+00:09:22,230 --> 00:09:22,270
+(The repetition of "اي بي اكس اي بي" is likely a transcription error and should be removed)
+
+105
+00:09:22,270 --> 00:09:24,870
+(The repetition of "اي بي اكس اكس" is likely a transcription error and should be removed)
+
+106
+00:09:24,870 --> 00:09:27,410
+(The repetition of "اكس اكس" is likely a transcription error and should be removed)
+
+107
+00:09:27,410 --> 00:09:37,190
+(The repetition of "اكس" is likely a transcription error and should be removed)
+
+108
+00:09:37,190 --> 00:09:43,860
+ستة حدود موجودة. إذاً A
+
+109
+00:09:43,860 --> 00:09:49,280
+cross B تعطينا هذه القيمة. هذه القيمة لو
+
+110
+00:09:49,280 --> 00:09:57,060
+عدنا إليها هي عبارة عن محدد. محدد
+
+111
+00:09:57,060 --> 00:10:05,240
+ونفك هذا المحدد. طبعاً هذا المحدد. أول شيء متجه
+
+112
+00:10:05,240 --> 00:10:11,500
+الواحد I, J, K. ثم نكتب المتجه الأول Ax, Ay, Az, Bx
+
+113
+00:10:11,500 --> 00:10:16,280
+, By, Bz. ثم نفك المحدد.  مثلاً نفك المحدد. موجب، سالب،
+
+114
+00:10:16,280 --> 00:10:24,920
+موجب.  وبعد ذلك نحذف الصف والعمود  I.  عند فك
+
+115
+00:10:24,920 --> 00:10:31,060
+المحدد.  ثم يبقى لدينا محدد هنا.  minus.  هذا سيكون أول
+
+116
+00:10:31,060 --> 00:10:36,660
+شيء I. هذا I، و إشارته موجبة.  سيكون لدينا Ay
+
+117
+00:10:36,660 --> 00:10:42,840
+Bz - Az By.  وبعدين بنفس الكيفية نجئ نحذف العمود
+
+118
+00:10:42,840 --> 00:10:48,780
+الثاني والصف الثاني والصف الأول. وهذا. هذا.  و
+
+119
+00:10:48,780 --> 00:10:55,190
+إشارته ماذا ستكون؟ سالبة. إذن سالبة، موجبة، سالبة، موجبة
+
+120
+00:10:55,190 --> 00:10:57,490
+سالبة، موجبة، سالبة، موجبة، سالبة، موجبة، سالبة
+
+121
+00:10:57,490 --> 00:10:59,470
+(Repetition removed)
+
+122
+00:10:59,470 --> 00:10:59,490
+(Repetition removed)
+
+123
+00:10:59,490 --> 00:11:01,850
+(Repetition removed)
+
+124
+00:11:01,850 --> 00:11:02,190
+(Repetition removed)
+
+125
+00:11:02,190 --> 00:11:07,190
+(Repetition removed)
+
+126
+00:11:07,190 --> 00:11:11,570
+(Repetition removed)
+
+127
+00:11:11,570 --> 00:11:14,750
+(Repetition removed)
+
+128
+00:11:14,750 --> 00:11:18,030
+(Repetition removed)
+
+129
+00:11:18,030 --> 00:11:25,450
+لـ K نحذف الصف والعمود. إشارته
+
+130
+00:11:25,450 --> 00:11:34,710
+موجبة.  سيكون لدينا موجب K (AxBy - AyBx).  إذا أنا
+
+131
+00:11:34,710 --> 00:11:41,430
+بأستطيع أن أجد قيمة المتجه، أو المتجه حاصل ضرب الاتجاه
+
+132
+00:11:41,430 --> 00:11:46,110
+الذي هو vector، من خلال العلاقة الموجودة لدينا
+
+133
+00:11:47,310 --> 00:11:51,510
+المحدد. هذه فكرة المحدد. يعطيني مثال ويقول لي
+
+134
+00:11:51,510 --> 00:11:55,670
+لدينا two vectors.  المتجه الأول قيمته، والـ
+
+135
+00:11:55,670 --> 00:12:00,410
+المتجه الثاني قيمته. سأجئ لأجد A cross B. A
+
+136
+00:12:00,410 --> 00:12:07,380
+cross B كيف سأجدها؟ A cross B نكتب I و
+
+137
+00:12:07,380 --> 00:12:11,160
+J و K. ثم نأخذ المتجه الأول 1،
+
+138
+00:12:11,160 --> 00:12:15,260
+-2، 3. المتجه الثاني قيمته
+
+139
+00:12:15,260 --> 00:12:18,220
+2، 3، -2. 2، 3، -2.
+
+140
+00:12:18,220 --> 00:12:21,160
+(Repetition removed)
+
+141
+00:12:21,160 --> 00:12:21,360
+(Repetition removed)
+
+142
+00:12:21,360 --> 00:12:21,460
+(Repetition removed)
+
+143
+00:12:21,460 --> 00:12:26,200
+(Repetition removed)
+
+144
+00:12:26,200 --> 00:12:33,880
+(Repetition removed)
+
+145
+00:12:33,880 --> 00:12:45,410
+نحصل عن طريق فك المحدد Cx, Cy, Cz.  طب ما هو
+
+146
+00:12:45,410 --> 00:12:50,830
+الفرق بين A cross B ومتى يكون A cross
+
+147
+00:12:50,830 --> 00:13:01,050
+B قيمته تساوي صفر؟  يعني A cross B يساوي صفر
+
+148
+00:13:01,050 --> 00:13:04,630
+متى؟
+
+149
+00:13:04,630 --> 00:13:13,620
+يساوي صفر؟ عندما تكون قيمة A،  مجموعة A
+
+150
+00:13:13,620 --> 00:13:18,960
+ومجموعة B. sin الزاوية بين A و B
+
+151
+00:13:18,960 --> 00:13:24,080
+الزاوية تأخذ قيماً من صفر إلى 180.  ومتى تكون
+
+152
+00:13:24,080 --> 00:13:30,340
+قيمتها صفر؟  الزاوية عندما تكون الزاوية صفر، يعني
+
+153
+00:13:30,340 --> 00:13:37,280
+الزاوية بين A و B تساوي صفر. متوازيان أو
+
+154
+00:13:37,280 --> 00:13:45,600
+180 أو باي أو مضاعفاتها. صفر، باي، 2باي...
+
+155
+00:13:45,600 --> 00:13:46,520
+(Repetition removed)
+
+156
+00:13:46,520 --> 00:13:46,720
+(Repetition removed)
+
+157
+00:13:46,720 --> 00:13:48,700
+(Repetition removed)
+
+158
+00:13:48,700 --> 00:13:51,800
+(Repetition removed)
+
+159
+00:13:51,800 --> 00:13:51,940
+(Repetition removed)
+
+160
+00:13:51,940 --> 00:13:55,720
+(Repetition removed)
+
+161
+00:14:00,880 --> 00:14:07,300
+Maximum.  إذا كانت قيمته تساوي AB.  إذا كانت الزاوية
+
+162
+00:14:07,300 --> 00:14:12,380
+بين A و B 90. طبعاً أنا أتحدث عن الـ magnitude. أنا
+
+163
+00:14:12,380 --> 00:14:17,400
+أتحدث عن قيمة A. A عمودي على ماذا؟ على B. A
+
+164
+00:14:17,400 --> 00:14:22,060
+عمودي على B. قيمة cross product تكون هي الـ
+
+165
+00:14:22,060 --> 00:14:27,750
+maximum. هل هناك أي سؤال؟  إذا كان لديكم أي سؤال، يُمكنكم
+
+166
+00:14:27,750 --> 00:14:32,730
+إرساله في التعليقات. الآن، لو بدأنا
+
+167
+00:14:32,730 --> 00:14:39,110
+بملخص عن cross product، عن ضرب المتجهات، أقول: ضرب
+
+168
+00:14:39,110 --> 00:14:42,770
+المتجهات. أولاً، ضرب المتجه في
+
+169
+00:14:42,770 --> 00:14:47,590
+scalar.  ماذا يفعل scalar؟  احتمالان: إما موجب أو
+
+170
+00:14:47,590 --> 00:14:51,470
+سالب. موجب أو سالب. إذا كان موجباً، يكونان في نفس
+
+171
+00:14:51,470 --> 00:14:57,770
+الاتجاه. سالب، يكون عكس الاتجاه. يُغير اتجاه المتجه.  شيء
+
+172
+00:14:57,770 --> 00:15:00,690
+ثاني، إذا كانت قيمته واحد، تبقى قيمة المتجه
+
+173
+00:15:00,690 --> 00:15:03,990
+magnitude للمتجه  نفس القيمة. إذا كانت أكبر
+
+174
+00:15:03,990 --> 00:15:08,550
+من واحد، تزداد قيمتها. أقل من واحد، تقل قيمة الـ
+
+175
+00:15:08,550 --> 00:15:12,700
+magnitude. في ضرب المتجه في متجه.  نوعين من
+
+176
+00:15:12,700 --> 00:15:17,140
+المنتجات. أولاً: scalar product. منتج كمية
+
+177
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/HYoa9VwCxRo_postprocess.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/HYoa9VwCxRo_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d6adb54f7b875e071f3fa0baa6339bef135b13f5
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/HYoa9VwCxRo_postprocess.srt
@@ -0,0 +1,808 @@
+1
+00:00:06,080 --> 00:00:12,540
+نكمل اليوم في ضرب المتجهات طبعا في محاضرة السابقة
+
+2
+00:00:12,540 --> 00:00:16,020
+ضرب المتجهات في نوعين من ضرب المتجهات اتكلمنا في
+
+3
+00:00:16,020 --> 00:00:19,640
+محاضرة السابقة عن ضرب القياسة اللي هو كان vector
+
+4
+00:00:19,640 --> 00:00:29,940
+ضرب vector بعطينا scalar اليوم حيكون في اختلاف
+
+5
+00:00:29,940 --> 00:00:34,000
+اليوم عندي vector في vector
+
+6
+00:00:37,140 --> 00:00:42,920
+في الـ vector باعطيني vector هذا سميته dot product
+
+7
+00:00:42,920 --> 00:00:48,740
+هذا اسمه cross product او بسميه vector product او
+
+8
+00:00:48,740 --> 00:00:52,880
+cross product cross product او vector product لان
+
+9
+00:00:52,880 --> 00:00:57,660
+النتيجة دي ايه؟ vectorيعني بمعنى آخر كمية فيزيائية
+
+10
+00:00:57,660 --> 00:01:02,580
+متجهة ضاوء كمية فيزيائية متجهة إنها تبتلع عندك
+
+11
+00:01:02,580 --> 00:01:06,620
+كمية فيزيائية ما لها متجهة وهذا نبدأ نقول عليه
+
+12
+00:01:06,620 --> 00:01:10,700
+أمثلة حتى اللي هو ال torque ال torque عبارة عن
+
+13
+00:01:10,700 --> 00:01:14,900
+كمية فيزيائية ما لها متجهة إيش هالسوء displacement
+
+14
+00:01:14,900 --> 00:01:20,910
+across forceعند R cross F كمية فيزيائية متجهة
+
+15
+00:01:20,910 --> 00:01:25,530
+displacement في كمية فيزيائية القوة بيعطينا عند ال
+
+16
+00:01:25,530 --> 00:01:29,590
+torque هو كمية فيزيائية متجهة طب لو كان عند vector
+
+17
+00:01:29,590 --> 00:01:33,130
+A وهذا
+
+18
+00:01:33,130 --> 00:01:44,500
+بيساوي Ax اتجاه I زائد Ay زائد Az اتجاه Kوالذكر
+
+19
+00:01:44,500 --> 00:01:50,360
+التاني بي بيسوي بي اكس لجهة I زي بي وي زي بي زي بي
+
+20
+00:01:50,360 --> 00:01:56,360
+زي بي زي بي زي بي زي بي زي بي زي بي زي بي زي بي زي
+
+21
+00:01:56,360 --> 00:02:00,160
+بي زي بي زي بي زي بي زي بي زي بي زي بي زي بي زي بي
+
+22
+00:02:00,160 --> 00:02:12,340
+بي زي بي زي بي زي بي زي
+
+23
+00:02:12,340 --> 00:02:21,370
+بهي قيمة A اقص الـB أبتساوة AB صين الزاوية بين
+
+24
+00:02:21,370 --> 00:02:26,470
+الـA و بين الـB إذا بقدر أقول القيمة للمتجه هي
+
+25
+00:02:26,470 --> 00:02:30,290
+عبارة عن AB صين الزاوية بين الـA و بين الـB
+
+26
+00:02:32,970 --> 00:02:37,450
+طيب اتجاهه بحيث اللي اصلا لازم نطلع عند ايش قيمة
+
+27
+00:02:37,450 --> 00:02:42,150
+منتجة في right hand rule بقدر احدد من خلالها
+
+28
+00:02:42,150 --> 00:02:46,930
+الاتجاه كيف بقدر احدد الاتجاه لو انا في عند ال
+
+29
+00:02:46,930 --> 00:02:51,230
+vector A وهذا ال vector A وهذا ال vector التاني
+
+30
+00:02:51,230 --> 00:02:51,850
+vector B
+
+31
+00:02:54,840 --> 00:02:58,820
+مهد الزاوية بين الـ A و بين الـ B راحضوا الزاوية
+
+32
+00:02:58,820 --> 00:03:01,500
+بين الـ A و الـ B لإن كونوا طالعين من النقطة أو
+
+33
+00:03:01,500 --> 00:03:07,900
+دخلين لأس النقطة A cross الـ B كيف ده عملها؟ أصابع
+
+34
+00:03:07,900 --> 00:03:12,480
+أو أيدي في اتجاه المتجه الأولاني تتحرك لمين؟إلى
+
+35
+00:03:12,480 --> 00:03:17,980
+اتجاه المتجه التاني الإبهام هو بيكون الـ cross
+
+36
+00:03:17,980 --> 00:03:22,500
+product ل المتجهة اتجاهه لوين؟ بيكون اتجاهه في هذه
+
+37
+00:03:22,500 --> 00:03:26,000
+الحالة للخارج هاي C في اتجاه الـ K الخارجي ما احنا
+
+38
+00:03:26,000 --> 00:03:30,040
+قولنا اتجاه او في اتجاه الـ K أو بقدر احطها
+
+39
+00:03:30,040 --> 00:03:35,120
+اشارتها أياش مقطة اذا A cross الـ B متجه جديد
+
+40
+00:03:35,120 --> 00:03:40,860
+قيمته، هاي قيمته لكن اتجاهه، وين اتجاهه؟ في اتجاه
+
+41
+00:03:40,860 --> 00:03:46,430
+الـ Kأذا الـ A cross الـ B قيمة واتجاه طيب لو أنا
+
+42
+00:03:46,430 --> 00:03:55,670
+قلت بي كروس الـ A بي كروس الـ A إيش هيختلف بي كروس
+
+43
+00:03:55,670 --> 00:04:01,150
+الـ A؟ هيطلع عنده متجهة جديد هل قيمته هتختلف؟
+
+44
+00:04:01,150 --> 00:04:09,810
+قيمته نفس القيمة ليش؟ بي في A في sign الزاوية بين
+
+45
+00:04:09,810 --> 00:04:17,630
+الـ B و الـ Aب والـ A إبدالية ب قيمة ب قيمة a صيني
+
+46
+00:04:17,630 --> 00:04:22,110
+الزاوية إذا هذولا قيمتين مالهم متساويتين إذا a
+
+47
+00:04:22,110 --> 00:04:27,590
+cross ال b و b cross ال a قيمهم متساوية لكن تعالى
+
+48
+00:04:27,590 --> 00:04:32,590
+على الرسم نحدد على ال right hand rule كيف اتجاه ال
+
+49
+00:04:32,590 --> 00:04:38,080
+a ال b cross ال a هاي ال bCross الـ A، بدّى أذهب
+
+50
+00:04:38,080 --> 00:04:42,500
+إلى مين؟ إلى الـ A. الإبهام وين تجاهه؟ هاي الـ B
+
+51
+00:04:42,500 --> 00:04:47,130
+تجاهه، زي ذلك.والـ A هو اتجاه الأصابع اللي بتحركوا
+
+52
+00:04:47,130 --> 00:04:52,650
+بحيث ينتقلوا لمين؟ لاتجاه الـ A إذا الأصابع هاي هم
+
+53
+00:04:52,650 --> 00:04:56,130
+بيدوروا في اتجاه الـ A صاروا راحوا لاتجاه الـ A
+
+54
+00:04:56,130 --> 00:04:59,530
+كان الـ B زي هيكا و بعدين اتغيروا لاتجاه الـ A
+
+55
+00:04:59,530 --> 00:05:05,070
+لبهموا اتجاهه للداخل إذا هنا بقدر أقول حاصل الدرب
+
+56
+00:05:05,070 --> 00:05:10,370
+إيش؟ عبارة عن الـ Cross الـ Cross عبارة عن سالب K
+
+57
+00:05:10,370 --> 00:05:16,110
+اتجاهها لوين؟ للداخلإذاً A كُس الـB وB كُس الـA
+
+58
+00:05:16,110 --> 00:05:19,630
+إيش الفارق بينهم؟ الـ Magnitude نفس الـ Magnitude
+
+59
+00:05:19,630 --> 00:05:23,830
+لكن الإشارة الشمالها إشارة سالبة وإحنا عارفين هذا
+
+60
+00:05:23,830 --> 00:05:27,670
+Vector و هذا Vector قيمته نفس القيمة الإشارة
+
+61
+00:05:27,670 --> 00:05:31,190
+السالبة بتعبر عن الاتجاه في الـVector يعني هذا
+
+62
+00:05:31,190 --> 00:05:36,090
+اتجاهه لـA كُس الـB كان اتجاهه للخارج لكن B كُس
+
+63
+00:05:36,090 --> 00:05:40,810
+الـA اتجاهه للداخلإذا الاختلاف إذا ال a cross ال b
+
+64
+00:05:40,810 --> 00:05:46,510
+لا يساوي b cross ال a في بينهم اختلاف طيب نيجي لل
+
+65
+00:05:46,510 --> 00:05:51,610
+unit vector الذاكرين ال unit vector ال I محور X
+
+66
+00:05:51,610 --> 00:05:58,910
+ومحور Y ومحور Z X Y و Z في عند unit vector فيه ال
+
+67
+00:05:58,910 --> 00:06:02,710
+unit vector كمان مرة للتذكير هو عبارة عن متجة
+
+68
+00:06:02,710 --> 00:06:06,690
+قيمته إيش واحد فلما أقول عند ال I
+
+69
+00:06:09,320 --> 00:06:14,800
+الـ I هي عبارة عن متجة قيمته واحد في اتجاه من الـ
+
+70
+00:06:14,800 --> 00:06:18,340
+X كذلك نفس الأشي في اتجاه الـ Y في عنده متجه
+
+71
+00:06:18,340 --> 00:06:22,720
+الوحدة إلى و في اتجاه الـ Z في عنده الـ K هو متجه
+
+72
+00:06:22,720 --> 00:06:28,780
+الوحدة إلى الـ X التلاتي مالهم متعامدين لمحور X ال
+
+73
+00:06:28,780 --> 00:06:33,700
+corner اللي موجود عنده هناك X و Y و Z تلت محاور
+
+74
+00:06:33,700 --> 00:06:42,310
+متعامدة الآن نيجي I cross الـ Iمتجه الـ I across
+
+75
+00:06:42,310 --> 00:06:48,650
+متجه الـ I أيش بنتج عندك؟ الـ I متجه، قيمته قداش؟
+
+76
+00:06:48,650 --> 00:06:53,930
+واحد، القيمة في المتجه التاني اللي هو المتجه الـ B
+
+77
+00:06:53,930 --> 00:06:59,510
+قيمته قداش عنده؟ ضرب واحد في sign الزاوية اللي
+
+78
+00:06:59,510 --> 00:07:04,810
+بينهم sign الزاوية اللي بين المتجه هو نفسه هي
+
+79
+00:07:04,810 --> 00:07:10,680
+الزاوية الـ Zero sign الـ Zero قداش عنده؟ Zeroإذا
+
+80
+00:07:10,680 --> 00:07:14,480
+الـ I ضد الـ I إيش بيعطيني؟ Zero إذا الـ I ضد الـ
+
+81
+00:07:14,480 --> 00:07:21,760
+I كلهم هيعطوني جديش؟ Zero راهة عكس الـ Scalar طيب
+
+82
+00:07:21,760 --> 00:07:32,900
+لو كان عندي اختلاف بينهم I ضد ال cross إيش
+
+83
+00:07:32,900 --> 00:07:39,150
+بيعطيني؟واحد وواحد في صينة الـC باعطيني واحد إذا
+
+84
+00:07:39,150 --> 00:07:45,430
+باعطيني متجرخين to مين؟ واحد لكن عمودي على مين؟
+
+85
+00:07:45,430 --> 00:07:50,070
+على I وG لاحظوا بدأوا المراقبة هنا لاحظوا الـC هنا
+
+86
+00:07:50,070 --> 00:07:54,610
+كان عمودي على مين؟ على الـA و الـBإذاً كمان والله
+
+87
+00:07:54,610 --> 00:08:02,770
+حاصل ضرب الاتجاه لأي متجهين هو متجه جديد يكون
+
+88
+00:08:02,770 --> 00:08:07,270
+متعمد على مين؟ على المتجه الأولاني والمتجه التاني
+
+89
+00:08:07,270 --> 00:08:13,010
+متعمد على متجه A ومتجه Bإذا I بطل جي إيش بيعطيني؟
+
+90
+00:08:13,010 --> 00:08:17,110
+متجه واحدة قيمته واحد لكن انتجاه هو عمودي على I
+
+91
+00:08:17,110 --> 00:08:21,730
+والجي اللي هو إيش ال K كده قالك لو جيت المتجهة
+
+92
+00:08:21,730 --> 00:08:24,830
+التانية J كرسو ال K بيعطيني ال I و ال K كرسو ال I
+
+93
+00:08:24,830 --> 00:08:30,890
+بيعطيني ال جي لاحظوا الدوران عندي I في ال جي بهذا
+
+94
+00:08:30,890 --> 00:08:34,330
+الشكل يعني
+
+95
+00:08:34,330 --> 00:08:38,610
+أنا برسومهم بعد برسومهم بقول عكس أنا قريب الساعة
+
+96
+00:08:38,610 --> 00:08:44,480
+بيعطينيالإشارة الموجودة طب لو أنا عكستهم قولت
+
+97
+00:08:44,480 --> 00:08:51,760
+العكس مش هيعطيني سالب K متجه المحدد في اتجاه معاكس
+
+98
+00:08:51,760 --> 00:08:58,160
+تبعا لقاعدة اليد اليمنى طب نيجي الآن للمتجه A
+
+99
+00:08:58,160 --> 00:09:04,240
+ومتجه B هاي قيمه وبدى اعملهم cross product cross
+
+100
+00:09:04,240 --> 00:09:08,400
+product ايش بدنا نعمل؟ بدنا نجيب ال A X cross
+
+101
+00:09:08,400 --> 00:09:16,370
+productب بي اكس ب بي اكس اي بي اكس اي بي اكس اي بي
+
+102
+00:09:16,370 --> 00:09:21,890
+اكس اي بي اكس اي بي اكس اي بي اكس اي بي اكس اي بي
+
+103
+00:09:21,890 --> 00:09:22,230
+اكس اي بي اكس اي بي اكس اي بي اكس اي بي اكس اي بي
+
+104
+00:09:22,230 --> 00:09:22,270
+اكس اي بي اكس اي بي اكس اي بي اكس اي بي اكس اي بي
+
+105
+00:09:22,270 --> 00:09:24,870
+اكس اي بي اكس اكس اكس اكس اكس اكس اكس اكس اكس اكس
+
+106
+00:09:24,870 --> 00:09:27,410
+اكس اكس اكس اكس اكس اكس اكس اكس اكس اكس اكس اكس
+
+107
+00:09:27,410 --> 00:09:37,190
+اكس اكس اكس اكس اكس
+
+108
+00:09:37,190 --> 00:09:43,860
+الما جرتبهم الست حدود اللي موجودين عندهيهم اذا a
+
+109
+00:09:43,860 --> 00:09:49,280
+across ال b بعطيني هذه القيمة هذه القيمة لو
+
+110
+00:09:49,280 --> 00:09:57,060
+رجعتلها هي عبارة عن محدد محدد
+
+111
+00:09:57,060 --> 00:10:05,240
+وفك هذا المحددطبعا كذا المحدد أول حاجة متجه
+
+112
+00:10:05,240 --> 00:10:11,500
+الواحدة I,J,K ثم بجرح المتجه الأول عن AX,AY,AZ,BX
+
+113
+00:10:11,500 --> 00:10:16,280
+,BY,BZ ثم فكر المحدد مثلا فكر المحدد موجب سالب
+
+114
+00:10:16,280 --> 00:10:24,920
+موجب و بعد ذلك بشطب صفه و أعمضه لل I لما فكر
+
+115
+00:10:24,920 --> 00:10:31,060
+المحدد ثم يبقى لدي محدد هنا هذا minus هذاهيكون اول
+
+116
+00:10:31,060 --> 00:10:36,660
+حاجة الـ I هاي الـ I وشرطه موجبة هيكون عندي ay
+
+117
+00:10:36,660 --> 00:10:42,840
+بيزد ay بيزد by بعدين بنفس الكيفية بجي أشطب العمود
+
+118
+00:10:42,840 --> 00:10:48,780
+التاني و الصف التاني و الصف الأول هذا وهذا هايه و
+
+119
+00:10:48,780 --> 00:10:55,190
+إشارته إيش هتكون؟بالسالبة إذا سالب الإشارة
+
+120
+00:10:55,190 --> 00:10:57,490
+بالسالبة موجة بالسالبة موجة بالسالبة موجة بالسالبة
+
+121
+00:10:57,490 --> 00:10:59,470
+موجة بالسالبة موجة بالسالبة موجة بالسالبة موجة
+
+122
+00:10:59,470 --> 00:10:59,490
+بالسالبة موجة بالسالبة موجة بالسالبة موجة بالسالبة
+
+123
+00:10:59,490 --> 00:11:01,850
+موجة بالسالبة موجة بالسالبة موجة بالسالبة موجة
+
+124
+00:11:01,850 --> 00:11:02,190
+بالسالبة موجة بالسالبة موجة بالسالبة موجة بالسالبة
+
+125
+00:11:02,190 --> 00:11:07,190
+موجة بالسالبة موجة
+
+126
+00:11:07,190 --> 00:11:11,570
+بالسالبة موجة بالسالبة موجة بالسالبة موجة بالسالبة
+
+127
+00:11:11,570 --> 00:11:14,750
+موجة بالسالبة موجة بالسالبة موجة بالسالبة موجة
+
+128
+00:11:14,750 --> 00:11:18,030
+بالسالبة موجة بالسالبة موجة بالسالبة موجة بالسالبة
+
+129
+00:11:18,030 --> 00:11:25,450
+موجةللـ K بروح نقل شاطر صفه الصف و العمود اشارته
+
+130
+00:11:25,450 --> 00:11:34,710
+ايش موجبة هكون عندي موجب K Ax By Az Bx اذا انا
+
+131
+00:11:34,710 --> 00:11:41,430
+بقدر اوجد قيمة المتجه او المتجه حاصل ضرب الاتجاه
+
+132
+00:11:41,430 --> 00:11:46,110
+اللي ايته vector عن طريق العلاقة اللي موجودة عندنا
+
+133
+00:11:47,310 --> 00:11:51,510
+المحدد ان الفكرة المحددة لها ويعطيني مثال يقول لي
+
+134
+00:11:51,510 --> 00:11:55,670
+في عندي two vector ال vector الأولاني هيقيمته و ال
+
+135
+00:11:55,670 --> 00:12:00,410
+vector التاني هيقيمته بدي أجي أجيب a cross ال b a
+
+136
+00:12:00,410 --> 00:12:07,380
+cross ال b كيف بدي أجيبها a cross ال bبكتب الـ I و
+
+137
+00:12:07,380 --> 00:12:11,160
+الـ J و الـ K بعدين بجيب المتجه الأولاني واحد و
+
+138
+00:12:11,160 --> 00:12:15,260
+سالب اتنين و تلاته المتجه التاني اللي هو قيمته
+
+139
+00:12:15,260 --> 00:12:18,220
+اتنين و تلاته سالب اتنين اتنين و تلاته سالب اتنين
+
+140
+00:12:18,220 --> 00:12:21,160
+و تلاته سالب اتنين و تلاته سالب اتنين و تلاته سالب
+
+141
+00:12:21,160 --> 00:12:21,360
+اتنين و تلاته سالب اتنين و تلاته سالب اتنين و
+
+142
+00:12:21,360 --> 00:12:21,460
+تلاته سالب اتنين و تلاته سالب اتنين و تلاته سالب
+
+143
+00:12:21,460 --> 00:12:26,200
+اتنين و تلاته سالب اتنين و تلاته سالب اتنين و
+
+144
+00:12:26,200 --> 00:12:33,880
+تلاته سالب اتنين و
+
+145
+00:12:33,880 --> 00:12:45,410
+تلعن طريق جدر CX تربية CY تربية CZ تربية طب ايش
+
+146
+00:12:45,410 --> 00:12:50,830
+الفرق بين ال A cross ال B وقت ايش بتكون A cross ال
+
+147
+00:12:50,830 --> 00:13:01,050
+B قيمته بتساوي Zero يعني A cross ال B بيساوي Zero
+
+148
+00:13:01,050 --> 00:13:04,630
+وقت
+
+149
+00:13:04,630 --> 00:13:13,620
+ايش بتساوي Zeroلحظة ان الـ a بي قيمة الـ a مجموعة
+
+150
+00:13:13,620 --> 00:13:18,960
+الـ a ومجموعة الـ b صين الزاوية بين الـ a و الـ b
+
+151
+00:13:18,960 --> 00:13:24,080
+الزاوية تأخذ من قيم من صفر لميل لواحد وكتش بتكون
+
+152
+00:13:24,080 --> 00:13:30,340
+قيمتها Zero زاوية عندما تكون الزاوية Zero يعني
+
+153
+00:13:30,340 --> 00:13:37,280
+الزاوية بين الـ a و الـ b بتساوي صفرتنين متساوى او
+
+154
+00:13:37,280 --> 00:13:45,600
+مية و تمانين او باى او ضعفة Zero باى اذا كان او
+
+155
+00:13:45,600 --> 00:13:46,520
+اتنين باى او اتنين باى او اتنين باى او اتنين باى
+
+156
+00:13:46,520 --> 00:13:46,720
+او اتنين باى او اتنين باى او اتنين باى اتنين باى
+
+157
+00:13:46,720 --> 00:13:48,700
+اتنين باى اتنين باى اتنين باى اتنين باى اتنين باى
+
+158
+00:13:48,700 --> 00:13:51,800
+اتنين باى اتنين باى اتنين باى اتنين باى اتنين باى
+
+159
+00:13:51,800 --> 00:13:51,940
+اتنين باى اتنين باى اتنين باى اتنين باى اتنين باى
+
+160
+00:13:51,940 --> 00:13:55,720
+اتنين باى اتنين باى ا
+
+161
+00:14:00,880 --> 00:14:07,300
+Maximum إذا كانت قيمته بيساوي AB إذا كانت الزاوية
+
+162
+00:14:07,300 --> 00:14:12,380
+بين الـA والـB قيمته طبعا من ال magnitude أنا
+
+163
+00:14:12,380 --> 00:14:17,400
+بتكلمه قيمة الـA، A عمودي على مين؟ على الـB، A
+
+164
+00:14:17,400 --> 00:14:22,060
+عمودي على الـB قيمة cross ال product بيكون هو ال
+
+165
+00:14:22,060 --> 00:14:27,750
+maximumفي اي سؤال طبعا الان اذا في اي سؤال ممكن
+
+166
+00:14:27,750 --> 00:14:32,730
+ترسلونا وتبعتولنا على التعليقات الان لو انا بدأ
+
+167
+00:14:32,730 --> 00:14:39,110
+اتكلم ملخص عن ال cross عن ضرب المتجهات اقول فين
+
+168
+00:14:39,110 --> 00:14:42,770
+ضرب المتجهات في اول حاجة ممكن انا ضرب المتجهة في
+
+169
+00:14:42,770 --> 00:14:47,590
+scalar ايش بتعمل scalar؟احتمالين اما يكون موجب او
+
+170
+00:14:47,590 --> 00:14:51,470
+سالب موجب او سالب اذا كانت موجبة بيبقوا في نفس
+
+171
+00:14:51,470 --> 00:14:57,770
+الاتجاه سالبة بيكون عكس الاتجاه بيعكس المتجهة حاجة
+
+172
+00:14:57,770 --> 00:15:00,690
+تانية اذا قيمته واحد بيبقى قيمة المتجهة ال
+
+173
+00:15:00,690 --> 00:15:03,990
+magnitude المتجهة بيبقى نفس القيمة اذا كانت اكبر
+
+174
+00:15:03,990 --> 00:15:08,550
+من واحد بالزيت قيمتها اقل من واحد بقل قيمة ال
+
+175
+00:15:08,550 --> 00:15:12,700
+magnitude في عند ضرب المتجهة في المتجهةدربين
+
+176
+00:15:12,700 --> 00:15:17,140
+المنتجات في أول حاجة scalar product منتج كمية
+
+177
+00:15:17,140 --> 00:15:22,520
+مالها قياسية كمية منتجها ضرب كمية منتجها يظهر كمية
+
+178
+00:15:22,520 --> 00:15:28,850
+قياسيةمحلقية زي ال war في عندك ضرب التاني ضرب
+
+179
+00:15:28,850 --> 00:15:32,990
+الاتجاه كمية متجهة في كمية متجهة بنتج اندي كمية
+
+180
+00:15:32,990 --> 00:15:37,590
+مالها متجهة واندي كمان مثال عليها اللي هو ال
+
+181
+00:15:37,590 --> 00:15:40,770
+torque ال torque او ال force في القوة المغناطية
+
+182
+00:15:40,770 --> 00:15:45,330
+ممكن يكون عبارة عن ضرب اتجاه ل two vector مضربات
+
+183
+00:15:45,330 --> 00:15:51,470
+في بعض طبعا انا بقدر اجيب القيمة بقدر اجيب قيمة
+
+184
+00:15:51,470 --> 00:15:54,110
+الضرب القياسي
+
+185
+00:15:55,480 --> 00:16:00,220
+بمعرفة الزاوية بين المنتجين أو بمعرفة المواكبات
+
+186
+00:16:00,220 --> 00:16:03,320
+المواكبة التي في اتجاه ال X X component و Y
+
+187
+00:16:03,320 --> 00:16:08,620
+component و Z component للمنتج الأولاني و B
+
+188
+00:16:08,620 --> 00:16:13,460
+component و Z componentالـ X component والـ Y
+
+189
+00:16:13,460 --> 00:16:17,600
+component والـ Z component للمتجه التاني وبضربهم
+
+190
+00:16:17,600 --> 00:16:22,100
+في بعض أشياء متشابه بضربها في بعض أما في الدرب
+
+191
+00:16:22,100 --> 00:16:26,620
+الاتجاهي فانا بقدر أجيب قيمة المتجه بطريقة أو
+
+192
+00:16:26,620 --> 00:16:31,340
+الدرب الاتجاهي بطريقتين الطريقة الأولى اللي هو عن
+
+193
+00:16:31,340 --> 00:16:35,620
+طريق أجيب القيمة لحالي و أجيب الاتجاه بال right
+
+194
+00:16:35,620 --> 00:16:39,960
+hand rule أو الطريقة التانية عن طريق المحدد وفي
+
+195
+00:16:39,960 --> 00:16:43,760
+هنا مجموعةوفينا مثال أخدناها عن طريق المحدد و
+
+196
+00:16:43,760 --> 00:16:48,220
+جيبنا قيمة اللي هو قيمة ال cross product طب لو أنا
+
+197
+00:16:48,220 --> 00:16:53,200
+الآن قلت بي cross ال a هيطلع نفس ال issue بس كأن
+
+198
+00:16:53,200 --> 00:16:59,060
+ضربه في شارع معلها سالبة فهذا بنحاول فيها بنحاول
+
+199
+00:16:59,060 --> 00:17:01,780
+فيها و بنشوف كده النتيجة اللي بدها تطلع هل هي
+
+200
+00:17:01,780 --> 00:17:06,240
+بشارع سالبة ولا لأ يعطيكوا العافية هيك أبقوا خلص
+
+201
+00:17:06,240 --> 00:17:09,540
+ال chapter الأول شارع المخاطرة الجاية بنبدأ في ال
+
+202
+00:17:09,540 --> 00:17:10,120
+chapter التاني
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/HYoa9VwCxRo_raw.json b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/HYoa9VwCxRo_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..f6cd2e0261435469d0e1fa8a94e041bddeacea28
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/HYoa9VwCxRo_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 3400, "start": 6.08, "end": 34.0, "text": "نكمل اليوم في ضرب المتجهات طبعا في محاضرة السابقة ضرب المتجهات في نوعين من ضرب المتجهات اتكلمنا في محاضرة السابقة عن ضرب القياسة اللي هو كان vector ضرب vector بعطينا scalar اليوم حيكون في اختلاف اليوم عندي vector في vector", "tokens": [1863, 24793, 1211, 45595, 20498, 8978, 48812, 25513, 9673, 2655, 7435, 3224, 9307, 23032, 3555, 3615, 995, 8978, 3714, 5016, 46958, 25720, 21136, 16758, 28671, 48812, 25513, 9673, 2655, 7435, 3224, 9307, 8978, 8717, 45367, 9957, 9154, 48812, 25513, 9673, 2655, 7435, 3224, 9307, 1975, 2655, 4117, 19528, 8315, 8978, 3714, 5016, 46958, 25720, 21136, 16758, 28671, 18871, 48812, 25513, 25062, 25528, 3794, 3660, 13672, 1829, 31439, 25961, 8062, 48812, 25513, 8062, 45030, 9566, 1829, 8315, 39684, 45595, 20498, 11331, 1829, 30544, 8978, 1975, 46456, 15040, 5172, 45595, 20498, 18871, 16254, 8062, 8978, 8062], "avg_logprob": -0.23963815789473683, "compression_ratio": 2.1186440677966103, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 6.080000000000002, "end": 6.98, "word": "نكمل", "probability": 0.6430460611979166}, {"start": 6.98, "end": 7.68, "word": " اليوم", "probability": 0.790283203125}, {"start": 7.68, "end": 7.96, "word": " في", "probability": 0.787109375}, {"start": 7.96, "end": 8.4, "word": " ضرب", "probability": 0.880615234375}, {"start": 8.4, "end": 10.48, "word": " المتجهات", "probability": 0.92978515625}, {"start": 10.48, "end": 10.8, "word": " طبعا", "probability": 0.7950439453125}, {"start": 10.8, "end": 10.92, "word": " في", "probability": 0.72802734375}, {"start": 10.92, "end": 12.0, "word": " محاضرة", "probability": 0.76959228515625}, {"start": 12.0, "end": 12.54, "word": " السابقة", "probability": 0.8806966145833334}, {"start": 12.54, "end": 13.2, "word": " ضرب", "probability": 0.849609375}, {"start": 13.2, "end": 13.9, "word": " المتجهات", "probability": 0.98994140625}, {"start": 13.9, "end": 14.04, "word": " في", "probability": 0.467041015625}, {"start": 14.04, "end": 14.5, "word": " نوعين", "probability": 0.93310546875}, {"start": 14.5, "end": 14.62, "word": " من", "probability": 0.378173828125}, {"start": 14.62, "end": 14.84, "word": " ضرب", "probability": 0.931640625}, {"start": 14.84, "end": 15.48, "word": " المتجهات", "probability": 0.9830078125}, {"start": 15.48, "end": 15.88, "word": " اتكلمنا", "probability": 0.75447998046875}, {"start": 15.88, "end": 16.02, "word": " في", "probability": 0.919921875}, {"start": 16.02, "end": 16.3, "word": " محاضرة", "probability": 0.9136962890625}, {"start": 16.3, "end": 16.72, "word": " السابقة", "probability": 0.9855143229166666}, {"start": 16.72, "end": 16.96, "word": " عن", "probability": 0.974609375}, {"start": 16.96, "end": 17.36, "word": " ضرب", "probability": 0.91259765625}, {"start": 17.36, "end": 18.3, "word": " القياسة", "probability": 0.84375}, {"start": 18.3, "end": 18.54, "word": " اللي", "probability": 0.69970703125}, {"start": 18.54, "end": 18.74, "word": " هو", "probability": 0.80126953125}, {"start": 18.74, "end": 19.14, "word": " كان", "probability": 0.78466796875}, {"start": 19.14, "end": 19.64, "word": " vector", "probability": 0.82568359375}, {"start": 19.64, "end": 22.58, "word": " ضرب", "probability": 0.9931640625}, {"start": 22.58, "end": 23.2, "word": " vector", "probability": 0.98583984375}, {"start": 23.2, "end": 25.8, "word": " بعطينا", "probability": 0.5814208984375}, {"start": 25.8, "end": 26.18, "word": " scalar", "probability": 0.72900390625}, {"start": 26.18, "end": 28.64, "word": " اليوم", "probability": 0.950439453125}, {"start": 28.64, "end": 29.0, "word": " حيكون", "probability": 0.7263997395833334}, {"start": 29.0, "end": 29.16, "word": " في", "probability": 0.9111328125}, {"start": 29.16, "end": 29.94, "word": " اختلاف", "probability": 0.855712890625}, {"start": 29.94, "end": 30.66, "word": " اليوم", "probability": 0.7462158203125}, {"start": 30.66, "end": 30.94, "word": " عندي", "probability": 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new file mode 100644
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+1
+00:00:06,080 --> 00:00:12,540
+نكمل اليوم في ضرب المتجهات طبعا في محاضرة السابقة
+
+2
+00:00:12,540 --> 00:00:16,020
+ضرب المتجهات في نوعين من ضرب المتجهات اتكلمنا في
+
+3
+00:00:16,020 --> 00:00:19,640
+محاضرة السابقة عن ضرب القياسة اللي هو كان vector
+
+4
+00:00:19,640 --> 00:00:29,940
+ضرب vector بعطينا scalar اليوم حيكون في اختلاف
+
+5
+00:00:29,940 --> 00:00:34,000
+اليوم عندي vector في vector
+
+6
+00:00:37,140 --> 00:00:42,920
+في الـ vector باعطيني vector هذا سميته dot product
+
+7
+00:00:42,920 --> 00:00:48,740
+هذا اسمه cross product او بسميه vector product او
+
+8
+00:00:48,740 --> 00:00:52,880
+cross product cross product او vector product لان
+
+9
+00:00:52,880 --> 00:00:57,660
+النتيجة دي ايه؟ vectorيعني بمعنى آخر كمية فيزيائية
+
+10
+00:00:57,660 --> 00:01:02,580
+متجهة ضاوء كمية فيزيائية متجهة إنها تبتلع عندك
+
+11
+00:01:02,580 --> 00:01:06,620
+كمية فيزيائية ما لها متجهة وهذا نبدأ نقول عليه
+
+12
+00:01:06,620 --> 00:01:10,700
+أمثلة حتى اللي هو ال torque ال torque عبارة عن
+
+13
+00:01:10,700 --> 00:01:14,900
+كمية فيزيائية ما لها متجهة إيش هالسوء displacement
+
+14
+00:01:14,900 --> 00:01:20,910
+across forceعند R cross F كمية فيزيائية متجهة
+
+15
+00:01:20,910 --> 00:01:25,530
+displacement في كمية فيزيائية القوة بيعطينا عند ال
+
+16
+00:01:25,530 --> 00:01:29,590
+torque هو كمية فيزيائية متجهة طب لو كان عند vector
+
+17
+00:01:29,590 --> 00:01:33,130
+A وهذا
+
+18
+00:01:33,130 --> 00:01:44,500
+بيساوي Ax اتجاه I زائد Ay زائد Az اتجاه Kوالذكر
+
+19
+00:01:44,500 --> 00:01:50,360
+التاني بي بيسوي بي اكس لجهة I زي بي وي زي بي زي بي
+
+20
+00:01:50,360 --> 00:01:56,360
+زي بي زي بي زي بي زي بي زي بي زي بي زي بي زي بي زي
+
+21
+00:01:56,360 --> 00:02:00,160
+بي زي بي زي بي زي بي زي بي زي بي زي بي زي بي زي بي
+
+22
+00:02:00,160 --> 00:02:00,160
+زي بي زي بي زي بي زي بي زي بي زي بي زي بي زي بي زي
+
+23
+00:02:00,160 --> 00:02:00,160
+بي زي بي زي بي زي بي زي بي زي بي زي بي زي بي زي بي
+
+24
+00:02:00,160 --> 00:02:00,160
+زي بي زي بي زي بي زي بي زي بي زي بي زي بي زي بي زي
+
+25
+00:02:00,160 --> 00:02:12,340
+بي زي بي زي بي زي بي زي
+
+26
+00:02:12,340 --> 00:02:21,370
+بهي قيمة A اقص الـB أبتساوة AB صين الزاوية بين
+
+27
+00:02:21,370 --> 00:02:26,470
+الـA و بين الـB إذا بقدر أقول القيمة للمتجه هي
+
+28
+00:02:26,470 --> 00:02:30,290
+عبارة عن AB صين الزاوية بين الـA و بين الـB
+
+29
+00:02:32,970 --> 00:02:37,450
+طيب اتجاهه بحيث اللي اصلا لازم نطلع عند ايش قيمة
+
+30
+00:02:37,450 --> 00:02:42,150
+منتجة في right hand rule بقدر احدد من خلالها
+
+31
+00:02:42,150 --> 00:02:46,930
+الاتجاه كيف بقدر احدد الاتجاه لو انا في عند ال
+
+32
+00:02:46,930 --> 00:02:51,230
+vector A وهذا ال vector A وهذا ال vector التاني
+
+33
+00:02:51,230 --> 00:02:51,850
+vector B
+
+34
+00:02:54,840 --> 00:02:58,820
+مهد الزاوية بين الـ A و بين الـ B راحضوا الزاوية
+
+35
+00:02:58,820 --> 00:03:01,500
+بين الـ A و الـ B لإن كونوا طالعين من النقطة أو
+
+36
+00:03:01,500 --> 00:03:07,900
+دخلين لأس النقطة A cross الـ B كيف ده عملها؟ أصابع
+
+37
+00:03:07,900 --> 00:03:12,480
+أو أيدي في اتجاه المتجه الأولاني تتحرك لمين؟إلى
+
+38
+00:03:12,480 --> 00:03:17,980
+اتجاه المتجه التاني الإبهام هو بيكون الـ cross
+
+39
+00:03:17,980 --> 00:03:22,500
+product ل المتجهة اتجاهه لوين؟ بيكون اتجاهه في هذه
+
+40
+00:03:22,500 --> 00:03:26,000
+الحالة للخارج هاي C في اتجاه الـ K الخارجي ما احنا
+
+41
+00:03:26,000 --> 00:03:30,040
+قولنا اتجاه او في اتجاه الـ K أو بقدر احطها
+
+42
+00:03:30,040 --> 00:03:35,120
+اشارتها أياش مقطة اذا A cross الـ B متجه جديد
+
+43
+00:03:35,120 --> 00:03:40,860
+قيمته، هاي قيمته لكن اتجاهه، وين اتجاهه؟ في اتجاه
+
+44
+00:03:40,860 --> 00:03:46,430
+الـ Kأذا الـ A cross الـ B قيمة واتجاه طيب لو أنا
+
+45
+00:03:46,430 --> 00:03:55,670
+قلت بي كروس الـ A بي كروس الـ A إيش هيختلف بي كروس
+
+46
+00:03:55,670 --> 00:04:01,150
+الـ A؟ هيطلع عنده متجهة جديد هل قيمته هتختلف؟
+
+47
+00:04:01,150 --> 00:04:09,810
+قيمته نفس القيمة ليش؟ بي في A في sign الزاوية بين
+
+48
+00:04:09,810 --> 00:04:17,630
+الـ B و الـ Aب والـ A إبدالية ب قيمة ب قيمة a صيني
+
+49
+00:04:17,630 --> 00:04:22,110
+الزاوية إذا هذولا قيمتين مالهم متساويتين إذا a
+
+50
+00:04:22,110 --> 00:04:27,590
+cross ال b و b cross ال a قيمهم متساوية لكن تعالى
+
+51
+00:04:27,590 --> 00:04:32,590
+على الرسم نحدد على ال right hand rule كيف اتجاه ال
+
+52
+00:04:32,590 --> 00:04:38,080
+a ال b cross ال a هاي ال bCross الـ A، بدّى أذهب
+
+53
+00:04:38,080 --> 00:04:42,500
+إلى مين؟ إلى الـ A. الإبهام وين تجاهه؟ هاي الـ B
+
+54
+00:04:42,500 --> 00:04:47,130
+تجاهه، زي ذلك.والـ A هو اتجاه الأصابع اللي بتحركوا
+
+55
+00:04:47,130 --> 00:04:52,650
+بحيث ينتقلوا لمين؟ لاتجاه الـ A إذا الأصابع هاي هم
+
+56
+00:04:52,650 --> 00:04:56,130
+بيدوروا في اتجاه الـ A صاروا راحوا لاتجاه الـ A
+
+57
+00:04:56,130 --> 00:04:59,530
+كان الـ B زي هيكا و بعدين اتغيروا لاتجاه الـ A
+
+58
+00:04:59,530 --> 00:05:05,070
+لبهموا اتجاهه للداخل إذا هنا بقدر أقول حاصل الدرب
+
+59
+00:05:05,070 --> 00:05:10,370
+إيش؟ عبارة عن الـ Cross الـ Cross عبارة عن سالب K
+
+60
+00:05:10,370 --> 00:05:16,110
+اتجاهها لوين؟ للداخلإذاً A كُس الـB وB كُس الـA
+
+61
+00:05:16,110 --> 00:05:19,630
+إيش الفارق بينهم؟ الـ Magnitude نفس الـ Magnitude
+
+62
+00:05:19,630 --> 00:05:23,830
+لكن الإشارة الشمالها إشارة سالبة وإحنا عارفين هذا
+
+63
+00:05:23,830 --> 00:05:27,670
+Vector و هذا Vector قيمته نفس القيمة الإشارة
+
+64
+00:05:27,670 --> 00:05:31,190
+السالبة بتعبر عن الاتجاه في الـVector يعني هذا
+
+65
+00:05:31,190 --> 00:05:36,090
+اتجاهه لـA كُس الـB كان اتجاهه للخارج لكن B كُس
+
+66
+00:05:36,090 --> 00:05:40,810
+الـA اتجاهه للداخلإذا الاختلاف إذا ال a cross ال b
+
+67
+00:05:40,810 --> 00:05:46,510
+لا يساوي b cross ال a في بينهم اختلاف طيب نيجي لل
+
+68
+00:05:46,510 --> 00:05:51,610
+unit vector الذاكرين ال unit vector ال I محور X
+
+69
+00:05:51,610 --> 00:05:58,910
+ومحور Y ومحور Z X Y و Z في عند unit vector فيه ال
+
+70
+00:05:58,910 --> 00:06:02,710
+unit vector كمان مرة للتذكير هو عبارة عن متجة
+
+71
+00:06:02,710 --> 00:06:06,690
+قيمته إيش واحد فلما أقول عند ال I
+
+72
+00:06:09,320 --> 00:06:14,800
+الـ I هي عبارة عن متجة قيمته واحد في اتجاه من الـ
+
+73
+00:06:14,800 --> 00:06:18,340
+X كذلك نفس الأشي في اتجاه الـ Y في عنده متجه
+
+74
+00:06:18,340 --> 00:06:22,720
+الوحدة إلى و في اتجاه الـ Z في عنده الـ K هو متجه
+
+75
+00:06:22,720 --> 00:06:28,780
+الوحدة إلى الـ X التلاتي مالهم متعامدين لمحور X ال
+
+76
+00:06:28,780 --> 00:06:33,700
+corner اللي موجود عنده هناك X و Y و Z تلت محاور
+
+77
+00:06:33,700 --> 00:06:42,310
+متعامدة الآن نيجي I cross الـ Iمتجه الـ I across
+
+78
+00:06:42,310 --> 00:06:48,650
+متجه الـ I أيش بنتج عندك؟ الـ I متجه، قيمته قداش؟
+
+79
+00:06:48,650 --> 00:06:53,930
+واحد، القيمة في المتجه التاني اللي هو المتجه الـ B
+
+80
+00:06:53,930 --> 00:06:59,510
+قيمته قداش عنده؟ ضرب واحد في sign الزاوية اللي
+
+81
+00:06:59,510 --> 00:07:04,810
+بينهم sign الزاوية اللي بين المتجه هو نفسه هي
+
+82
+00:07:04,810 --> 00:07:10,680
+الزاوية الـ Zero sign الـ Zero قداش عنده؟ Zeroإذا
+
+83
+00:07:10,680 --> 00:07:14,480
+الـ I ضد الـ I إيش بيعطيني؟ Zero إذا الـ I ضد الـ
+
+84
+00:07:14,480 --> 00:07:21,760
+I كلهم هيعطوني جديش؟ Zero راهة عكس الـ Scalar طيب
+
+85
+00:07:21,760 --> 00:07:32,900
+لو كان عندي اختلاف بينهم I ضد ال cross إيش
+
+86
+00:07:32,900 --> 00:07:39,150
+بيعطيني؟واحد وواحد في صينة الـC باعطيني واحد إذا
+
+87
+00:07:39,150 --> 00:07:45,430
+باعطيني متجرخين to مين؟ واحد لكن عمودي على مين؟
+
+88
+00:07:45,430 --> 00:07:50,070
+على I وG لاحظوا بدأوا المراقبة هنا لاحظوا الـC هنا
+
+89
+00:07:50,070 --> 00:07:54,610
+كان عمودي على مين؟ على الـA و الـBإذاً كمان والله
+
+90
+00:07:54,610 --> 00:08:02,770
+حاصل ضرب الاتجاه لأي متجهين هو متجه جديد يكون
+
+91
+00:08:02,770 --> 00:08:07,270
+متعمد على مين؟ على المتجه الأولاني والمتجه التاني
+
+92
+00:08:07,270 --> 00:08:13,010
+متعمد على متجه A ومتجه Bإذا I بطل جي إيش بيعطيني؟
+
+93
+00:08:13,010 --> 00:08:17,110
+متجه واحدة قيمته واحد لكن انتجاه هو عمودي على I
+
+94
+00:08:17,110 --> 00:08:21,730
+والجي اللي هو إيش ال K كده قالك لو جيت المتجهة
+
+95
+00:08:21,730 --> 00:08:24,830
+التانية J كرسو ال K بيعطيني ال I و ال K كرسو ال I
+
+96
+00:08:24,830 --> 00:08:30,890
+بيعطيني ال جي لاحظوا الدوران عندي I في ال جي بهذا
+
+97
+00:08:30,890 --> 00:08:34,330
+الشكل يعني
+
+98
+00:08:34,330 --> 00:08:38,610
+أنا برسومهم بعد برسومهم بقول عكس أنا قريب الساعة
+
+99
+00:08:38,610 --> 00:08:44,480
+بيعطينيالإشارة الموجودة طب لو أنا عكستهم قولت
+
+100
+00:08:44,480 --> 00:08:51,760
+العكس مش هيعطيني سالب K متجه المحدد في اتجاه معاكس
+
+101
+00:08:51,760 --> 00:08:58,160
+تبعا لقاعدة اليد اليمنى طب نيجي الآن للمتجه A
+
+102
+00:08:58,160 --> 00:09:04,240
+ومتجه B هاي قيمه وبدى اعملهم cross product cross
+
+103
+00:09:04,240 --> 00:09:08,400
+product ايش بدنا نعمل؟ بدنا نجيب ال A X cross
+
+104
+00:09:08,400 --> 00:09:16,370
+productب بي اكس ب بي اكس اي بي اكس اي بي اكس اي بي
+
+105
+00:09:16,370 --> 00:09:21,890
+اكس اي بي اكس اي بي اكس اي بي اكس اي بي اكس اي بي
+
+106
+00:09:21,890 --> 00:09:22,230
+اكس اي بي اكس اي بي اكس اي بي اكس اي بي اكس اي بي
+
+107
+00:09:22,230 --> 00:09:22,270
+اكس اي بي اكس اي بي اكس اي بي اكس اي بي اكس اي بي
+
+108
+00:09:22,270 --> 00:09:24,870
+اكس اي بي اكس اكس اكس اكس اكس اكس اكس اكس اكس اكس
+
+109
+00:09:24,870 --> 00:09:27,410
+اكس اكس اكس اكس اكس اكس اكس اكس اكس اكس اكس اكس
+
+110
+00:09:27,410 --> 00:09:37,190
+اكس اكس اكس اكس اكس
+
+111
+00:09:37,190 --> 00:09:43,860
+الما جرتبهم الست حدود اللي موجودين عندهيهم اذا a
+
+112
+00:09:43,860 --> 00:09:49,280
+across ال b بعطيني هذه القيمة هذه القيمة لو
+
+113
+00:09:49,280 --> 00:09:57,060
+رجعتلها هي عبارة عن محدد محدد
+
+114
+00:09:57,060 --> 00:10:05,240
+وفك هذا المحددطبعا كذا المحدد أول حاجة متجه
+
+115
+00:10:05,240 --> 00:10:11,500
+الواحدة I,J,K ثم بجرح المتجه الأول عن AX,AY,AZ,BX
+
+116
+00:10:11,500 --> 00:10:16,280
+,BY,BZ ثم فكر المحدد مثلا فكر المحدد موجب سالب
+
+117
+00:10:16,280 --> 00:10:24,920
+موجب و بعد ذلك بشطب صفه و أعمضه لل I لما فكر
+
+118
+00:10:24,920 --> 00:10:31,060
+المحدد ثم يبقى لدي محدد هنا هذا minus هذاهيكون اول
+
+119
+00:10:31,060 --> 00:10:36,660
+حاجة الـ I هاي الـ I وشرطه موجبة هيكون عندي ay
+
+120
+00:10:36,660 --> 00:10:42,840
+بيزد ay بيزد by بعدين بنفس الكيفية بجي أشطب العمود
+
+121
+00:10:42,840 --> 00:10:48,780
+التاني و الصف التاني و الصف الأول هذا وهذا هايه و
+
+122
+00:10:48,780 --> 00:10:55,190
+إشارته إيش هتكون؟بالسالبة إذا سالب الإشارة
+
+123
+00:10:55,190 --> 00:10:57,490
+بالسالبة موجة بالسالبة موجة بالسالبة موجة بالسالبة
+
+124
+00:10:57,490 --> 00:10:59,470
+موجة بالسالبة موجة بالسالبة موجة بالسالبة موجة
+
+125
+00:10:59,470 --> 00:10:59,490
+بالسالبة موجة بالسالبة موجة بالسالبة موجة بالسالبة
+
+126
+00:10:59,490 --> 00:11:01,850
+موجة بالسالبة موجة بالسالبة موجة بالسالبة موجة
+
+127
+00:11:01,850 --> 00:11:02,190
+بالسالبة موجة بالسالبة موجة بالسالبة موجة بالسالبة
+
+128
+00:11:02,190 --> 00:11:07,190
+موجة بالسالبة موجة
+
+129
+00:11:07,190 --> 00:11:11,570
+بالسالبة موجة بالسالبة موجة بالسالبة موجة بالسالبة
+
+130
+00:11:11,570 --> 00:11:14,750
+موجة بالسالبة موجة بالسالبة موجة بالسالبة موجة
+
+131
+00:11:14,750 --> 00:11:18,030
+بالسالبة موجة بالسالبة موجة بالسالبة موجة بالسالبة
+
+132
+00:11:18,030 --> 00:11:25,450
+موجةللـ K بروح نقل شاطر صفه الصف و العمود اشارته
+
+133
+00:11:25,450 --> 00:11:34,710
+ايش موجبة هكون عندي موجب K Ax By Az Bx اذا انا
+
+134
+00:11:34,710 --> 00:11:41,430
+بقدر اوجد قيمة المتجه او المتجه حاصل ضرب الاتجاه
+
+135
+00:11:41,430 --> 00:11:46,110
+اللي ايته vector عن طريق العلاقة اللي موجودة عندنا
+
+136
+00:11:47,310 --> 00:11:51,510
+المحدد ان الفكرة المحددة لها ويعطيني مثال يقول لي
+
+137
+00:11:51,510 --> 00:11:55,670
+في عندي two vector ال vector الأولاني هيقيمته و ال
+
+138
+00:11:55,670 --> 00:12:00,410
+vector التاني هيقيمته بدي أجي أجيب a cross ال b a
+
+139
+00:12:00,410 --> 00:12:07,380
+cross ال b كيف بدي أجيبها a cross ال bبكتب الـ I و
+
+140
+00:12:07,380 --> 00:12:11,160
+الـ J و الـ K بعدين بجيب المتجه الأولاني واحد و
+
+141
+00:12:11,160 --> 00:12:15,260
+سالب اتنين و تلاته المتجه التاني اللي هو قيمته
+
+142
+00:12:15,260 --> 00:12:18,220
+اتنين و تلاته سالب اتنين اتنين و تلاته سالب اتنين
+
+143
+00:12:18,220 --> 00:12:21,160
+و تلاته سالب اتنين و تلاته سالب اتنين و تلاته سالب
+
+144
+00:12:21,160 --> 00:12:21,360
+اتنين و تلاته سالب اتنين و تلاته سالب اتنين و
+
+145
+00:12:21,360 --> 00:12:21,460
+تلاته سالب اتنين و تلاته سالب اتنين و تلاته سالب
+
+146
+00:12:21,460 --> 00:12:26,200
+اتنين و تلاته سالب اتنين و تلاته سالب اتنين و
+
+147
+00:12:26,200 --> 00:12:33,880
+تلاته سالب اتنين و
+
+148
+00:12:33,880 --> 00:12:45,410
+تلعن طريق جدر CX تربية CY تربية CZ تربية طب ايش
+
+149
+00:12:45,410 --> 00:12:50,830
+الفرق بين ال A cross ال B وقت ايش بتكون A cross ال
+
+150
+00:12:50,830 --> 00:13:01,050
+B قيمته بتساوي Zero يعني A cross ال B بيساوي Zero
+
+151
+00:13:01,050 --> 00:13:04,630
+وقت
+
+152
+00:13:04,630 --> 00:13:13,620
+ايش بتساوي Zeroلحظة ان الـ a بي قيمة الـ a مجموعة
+
+153
+00:13:13,620 --> 00:13:18,960
+الـ a ومجموعة الـ b صين الزاوية بين الـ a و الـ b
+
+154
+00:13:18,960 --> 00:13:24,080
+الزاوية تأخذ من قيم من صفر لميل لواحد وكتش بتكون
+
+155
+00:13:24,080 --> 00:13:30,340
+قيمتها Zero زاوية عندما تكون الزاوية Zero يعني
+
+156
+00:13:30,340 --> 00:13:37,280
+الزاوية بين الـ a و الـ b بتساوي صفرتنين متساوى او
+
+157
+00:13:37,280 --> 00:13:45,600
+مية و تمانين او باى او ضعفة Zero باى اذا كان او
+
+158
+00:13:45,600 --> 00:13:46,520
+اتنين باى او اتنين باى او اتنين باى او اتنين باى
+
+159
+00:13:46,520 --> 00:13:46,720
+او اتنين باى او اتنين باى او اتنين باى اتنين باى
+
+160
+00:13:46,720 --> 00:13:48,700
+اتنين باى اتنين باى اتنين باى اتنين باى اتنين باى
+
+161
+00:13:48,700 --> 00:13:51,800
+اتنين باى اتنين باى اتنين باى اتنين باى اتنين باى
+
+162
+00:13:51,800 --> 00:13:51,940
+اتنين باى اتنين باى اتنين باى اتنين باى اتنين باى
+
+163
+00:13:51,940 --> 00:13:55,720
+اتنين باى اتنين باى ا
+
+164
+00:14:00,880 --> 00:14:07,300
+Maximum إذا كانت قيمته بيساوي AB إذا كانت الزاوية
+
+165
+00:14:07,300 --> 00:14:12,380
+بين الـA والـB قيمته طبعا من ال magnitude أنا
+
+166
+00:14:12,380 --> 00:14:17,400
+بتكلمه قيمة الـA، A عمودي على مين؟ على الـB، A
+
+167
+00:14:17,400 --> 00:14:22,060
+عمودي على الـB قيمة cross ال product بيكون هو ال
+
+168
+00:14:22,060 --> 00:14:27,750
+maximumفي اي سؤال طبعا الان اذا في اي سؤال ممكن
+
+169
+00:14:27,750 --> 00:14:32,730
+ترسلونا وتبعتولنا على التعليقات الان لو انا بدأ
+
+170
+00:14:32,730 --> 00:14:39,110
+اتكلم ملخص عن ال cross عن ضرب المتجهات اقول فين
+
+171
+00:14:39,110 --> 00:14:42,770
+ضرب المتجهات في اول حاجة ممكن انا ضرب المتجهة في
+
+172
+00:14:42,770 --> 00:14:47,590
+scalar ايش بتعمل scalar؟احتمالين اما يكون موجب او
+
+173
+00:14:47,590 --> 00:14:51,470
+سالب موجب او سالب اذا كانت موجبة بيبقوا في نفس
+
+174
+00:14:51,470 --> 00:14:57,770
+الاتجاه سالبة بيكون عكس الاتجاه بيعكس المتجهة حاجة
+
+175
+00:14:57,770 --> 00:15:00,690
+تانية اذا قيمته واحد بيبقى قيمة المتجهة ال
+
+176
+00:15:00,690 --> 00:15:03,990
+magnitude المتجهة بيبقى نفس القيمة اذا كانت اكبر
+
+177
+00:15:03,990 --> 00:15:08,550
+من واحد بالزيت قيمتها اقل من واحد بقل قيمة ال
+
+178
+00:15:08,550 --> 00:15:12,700
+magnitude في عند ضرب المتجهة في المتجهةدربين
+
+179
+00:15:12,700 --> 00:15:17,140
+المنتجات في أول حاجة scalar product منتج كمية
+
+180
+00:15:17,140 --> 00:15:22,520
+مالها قياسية كمية منتجها ضرب كمية منتجها يظهر كمية
+
+181
+00:15:22,520 --> 00:15:28,850
+قياسيةمحلقية زي ال war في عندك ضرب التاني ضرب
+
+182
+00:15:28,850 --> 00:15:32,990
+الاتجاه كمية متجهة في كمية متجهة بنتج اندي كمية
+
+183
+00:15:32,990 --> 00:15:37,590
+مالها متجهة واندي كمان مثال عليها اللي هو ال
+
+184
+00:15:37,590 --> 00:15:40,770
+torque ال torque او ال force في القوة المغناطية
+
+185
+00:15:40,770 --> 00:15:45,330
+ممكن يكون عبارة عن ضرب اتجاه ل two vector مضربات
+
+186
+00:15:45,330 --> 00:15:51,470
+في بعض طبعا انا بقدر اجيب القيمة بقدر اجيب قيمة
+
+187
+00:15:51,470 --> 00:15:54,110
+الضرب القياسي
+
+188
+00:15:55,480 --> 00:16:00,220
+بمعرفة الزاوية بين المنتجين أو بمعرفة المواكبات
+
+189
+00:16:00,220 --> 00:16:03,320
+المواكبة التي في اتجاه ال X X component و Y
+
+190
+00:16:03,320 --> 00:16:08,620
+component و Z component للمنتج الأولاني و B
+
+191
+00:16:08,620 --> 00:16:13,460
+component و Z componentالـ X component والـ Y
+
+192
+00:16:13,460 --> 00:16:17,600
+component والـ Z component للمتجه التاني وبضربهم
+
+193
+00:16:17,600 --> 00:16:22,100
+في بعض أشياء متشابه بضربها في بعض أما في الدرب
+
+194
+00:16:22,100 --> 00:16:26,620
+الاتجاهي فانا بقدر أجيب قيمة المتجه بطريقة أو
+
+195
+00:16:26,620 --> 00:16:31,340
+الدرب الاتجاهي بطريقتين الطريقة الأولى اللي هو عن
+
+196
+00:16:31,340 --> 00:16:35,620
+طريق أجيب القيمة لحالي و أجيب الاتجاه بال right
+
+197
+00:16:35,620 --> 00:16:39,960
+hand rule أو الطريقة التانية عن طريق المحدد وفي
+
+198
+00:16:39,960 --> 00:16:43,760
+هنا مجموعةوفينا مثال أخدناها عن طريق المحدد و
+
+199
+00:16:43,760 --> 00:16:48,220
+جيبنا قيمة اللي هو قيمة ال cross product طب لو أنا
+
+200
+00:16:48,220 --> 00:16:53,200
+الآن قلت بي cross ال a هيطلع نفس ال issue بس كأن
+
+201
+00:16:53,200 --> 00:16:59,060
+ضربه في شارع معلها سالبة فهذا بنحاول فيها بنحاول
+
+202
+00:16:59,060 --> 00:17:01,780
+فيها و بنشوف كده النتيجة اللي بدها تطلع هل هي
+
+203
+00:17:01,780 --> 00:17:06,240
+بشارع سالبة ولا لأ يعطيكوا العافية هيك أبقوا خلص
+
+204
+00:17:06,240 --> 00:17:09,540
+ال chapter الأول شارع المخاطرة الجاية بنبدأ في ال
+
+205
+00:17:09,540 --> 00:17:10,120
+chapter التاني
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/HjGGNvPSiQc_raw.json b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/HjGGNvPSiQc_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..1564785a0e8a86780485f987f8bfa9fe0b123158
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/HjGGNvPSiQc_raw.json
@@ -0,0 +1 @@
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واحد لان عدد ال particles الموجود عند MIXI أو YI لزد كذلك لأن أنا بتكلم الآن عن point لو قلت ان في مجموعة من ال particles المنتشرة في هذا الفرق بتوجد ال center of mass لها بتوجد ال center of mass هي point نقطة موجودة إليها إحداثيات إليها X إليها Y إليها", "tokens": [56, 19, 4032, 8032, 4117, 15730, 11933, 15730, 2423, 398, 5169, 295, 2758, 36764, 24401, 15844, 376, 28811, 15844, 286, 9154, 36764, 24401, 5296, 7649, 6225, 3215, 3215, 2423, 10007, 9673, 29245, 23328, 43242, 376, 21124, 40, 34051, 398, 40, 5296, 11622, 3215, 9122, 8848, 23275, 5296, 33456, 41850, 39894, 4117, 19528, 6024, 48506, 18871, 935, 45164, 12174, 1211, 2655, 16472, 8978, 3714, 7435, 2304, 2407, 27884, 9154, 2423, 10007, 9673, 29399, 8592, 25720, 8978, 23758, 27188, 2288, 4587, 39894, 29245, 3215, 2423, 3056, 295, 2758, 5296, 11296, 39894, 29245, 3215, 2423, 3056, 295, 2758, 39896, 935, 8717, 47432, 3660, 3714, 29245, 23328, 3660, 11933, 20292, 11296, 11933, 24401, 5718, 104, 1829, 9307, 11933, 20292, 11296, 1783, 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"probability": 0.97138671875}, {"start": 1471.44, "end": 1471.84, "word": " في", "probability": 0.9130859375}, {"start": 1471.84, "end": 1471.94, "word": " ال", "probability": 0.88232421875}, {"start": 1471.94, "end": 1472.16, "word": " center", "probability": 0.84716796875}, {"start": 1472.16, "end": 1472.34, "word": " of", "probability": 0.9716796875}, {"start": 1472.34, "end": 1472.6, "word": " mass", "probability": 0.85546875}, {"start": 1472.6, "end": 1472.86, "word": " له", "probability": 0.51171875}, {"start": 1472.86, "end": 1473.46, "word": " بساوي", "probability": 0.6435546875}, {"start": 1473.46, "end": 1473.54, "word": " ال", "probability": 0.28369140625}, {"start": 1473.54, "end": 1473.88, "word": " summation", "probability": 0.78173828125}, {"start": 1473.88, "end": 1474.14, "word": " لل", "probability": 0.7509765625}, {"start": 1474.14, "end": 1474.6, "word": " force", "probability": 0.92236328125}, {"start": 1474.6, "end": 1475.42, "word": " external", "probability": 0.75244140625}, {"start": 1475.42, "end": 1477.7, "word": " هي", "probability": 0.689453125}, {"start": 1477.7, "end": 1478.88, "word": " نجف", "probability": 0.6417643229166666}, {"start": 1478.88, "end": 1479.68, "word": " و", "probability": 0.55810546875}, {"start": 1479.68, "end": 1480.06, "word": " نكمل", "probability": 0.9308268229166666}, {"start": 1480.06, "end": 1480.78, "word": " المحاضرة", "probability": 0.9669189453125}, {"start": 1480.78, "end": 1481.86, "word": " الجاي", "probability": 0.517822265625}, {"start": 1481.86, "end": 1483.24, "word": " حتى", "probability": 0.6748046875}, {"start": 1483.24, "end": 1483.56, "word": " يكون", "probability": 0.7939453125}, {"start": 1483.56, "end": 1485.32, "word": " و", "probability": 0.64794921875}, {"start": 1485.32, "end": 1485.7, "word": " يعطيكوا", "probability": 0.78017578125}, {"start": 1485.7, "end": 1486.04, "word": " العافية", "probability": 0.8800455729166666}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1486.5183125, "duration_after_vad": 1430.5374999999995}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/HjGGNvPSiQc_raw.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/HjGGNvPSiQc_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..a84bce918ea6487777978d429a986c38def6beff
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/HjGGNvPSiQc_raw.srt
@@ -0,0 +1,1284 @@
+1
+00:00:05,250 --> 00:00:08,350
+السلام عليكم و أعطيكم العافية يا شباب و كل عام
+
+2
+00:00:08,350 --> 00:00:13,470
+تبخير لجميع الطلبة و الطالبات و ان شاء الله بيكون
+
+3
+00:00:13,470 --> 00:00:19,110
+نهايتنا الفصل موفقين فيه طبعا احنا في الان بنتكلم
+
+4
+00:00:19,110 --> 00:00:23,190
+عن chapter تمانية chapter تمانية اللي هو بنتكلم عن
+
+5
+00:00:23,190 --> 00:00:27,550
+systems of particles اول حاجة بال system of
+
+6
+00:00:27,550 --> 00:00:31,270
+particles اللي هنتكلم عن مجموعة من ال particlesفي
+
+7
+00:00:31,270 --> 00:00:34,790
+حاجة بتلزمني ال center of mass يعني لو جيت لهذا
+
+8
+00:00:34,790 --> 00:00:40,610
+الجسمين أو حاطيتهم بشكل معين ال center من وين ممكن
+
+9
+00:00:40,610 --> 00:00:46,530
+أعلقهم بحيث يظلهم شكلهم ثابت مايتغيروش أو هذا
+
+10
+00:00:46,530 --> 00:00:50,790
+الجلم لحاله، هذا الجلم وين ال center of mass له؟
+
+11
+00:00:51,160 --> 00:00:54,740
+يعني انا بعرف دايما لما اجي لتطبيق قوانين لنيوتن
+
+12
+00:00:54,740 --> 00:00:57,840
+بيرزوملي أرسم ل free body diagram ذاكرين لما كنا
+
+13
+00:00:57,840 --> 00:01:02,800
+نحط الوزن .. نحط الوزن وين؟ في ال .. ال MG كانت في
+
+14
+00:01:02,800 --> 00:01:06,700
+المنتصف ليش؟ لإن كنا نعتبر ال block اللي موجود عند
+
+15
+00:01:06,700 --> 00:01:11,000
+المنتظمفالكتلة مركزة في اليمين في المنتصف طب لو
+
+16
+00:01:11,000 --> 00:01:14,860
+كان الجسم مش منتظم الكتلة ممكن تكون رايحة لليمين
+
+17
+00:01:14,860 --> 00:01:18,740
+او ممكن تكون رايحة لليسار اليوم بده اعرف حاجة
+
+18
+00:01:18,740 --> 00:01:24,340
+اسمها ال center of mass ال center of mass أول حاجة
+
+19
+00:01:24,340 --> 00:01:29,540
+لأجسام او particles مجموعة من ال particles كأنها
+
+20
+00:01:29,540 --> 00:01:35,800
+بده عملهم ك system كنقطة واحدة كجسم واحدتأثير على
+
+21
+00:01:35,800 --> 00:01:40,480
+جسم واحد مش جسمين الان لما اتكلم عن جسمين مختلفة
+
+22
+00:01:40,480 --> 00:01:43,260
+ال center of mass او جسمين مختلفة في مبادئ المسافر
+
+23
+00:01:43,260 --> 00:01:46,420
+ال center of mass وين لهم الحاجة التانية لما يكون
+
+24
+00:01:46,420 --> 00:01:50,720
+عندي rigid body زي هيكا وين ال center of mass لما
+
+25
+00:01:50,720 --> 00:01:54,020
+يكون عند جسم .. اذا كان منتظم احنا عارفين ال
+
+26
+00:01:54,020 --> 00:01:56,900
+center of mass دايما بيكون في المركز في المركز لكن
+
+27
+00:01:56,900 --> 00:01:59,940
+اذا ماكانش منتظم بيكون ال center of mass مختلف
+
+28
+00:01:59,940 --> 00:02:03,540
+مكانه او في نقطة لنقطة تانية اذا ال center of mass
+
+29
+00:02:03,540 --> 00:02:08,610
+الانلـ systems a system of particles or rigid body
+
+30
+00:02:08,610 --> 00:02:13,470
+rigid body اللي هو جسم صلب أو جاسق بيسموه وين ال
+
+31
+00:02:13,470 --> 00:02:17,590
+center of mass يعني انا لو علقته من اي منطقة انتوا
+
+32
+00:02:17,590 --> 00:02:20,350
+تشوفوا بعض الأشياء اللي بيجين في الفيديوهات
+
+33
+00:02:20,350 --> 00:02:24,470
+بيجيبوا مجموعة من الكتل و بصفطوه بطريقة معينة هم
+
+34
+00:02:24,470 --> 00:02:28,130
+بيدوروا على مين على مركز الكتلة بحيث احط المركز
+
+35
+00:02:28,630 --> 00:02:33,330
+الكتلة تيجي علي جسم التاني تماما زي هيك إذا أجى
+
+36
+00:02:33,330 --> 00:02:38,150
+مركز الكتلة تماما في المتصف في المتصف في هذه
+
+37
+00:02:38,150 --> 00:02:42,970
+الحالة بيضل الجسم ثابت لو أنا حاطيته ال center of
+
+38
+00:02:42,970 --> 00:02:45,210
+mass كده على اليمين أو على اليسار بيلاقي الجسم بجع
+
+39
+00:02:45,210 --> 00:02:48,170
+هاي ال center of mass إذا كان ال center of mass
+
+40
+00:02:48,170 --> 00:02:55,140
+تماما في المتصف هنا بيلاقي الجلم معانول ثابتزحته
+
+41
+00:02:55,140 --> 00:02:58,580
+لليمين لليسار بيصير فيه خلال انت فيه ايش في الجسم
+
+42
+00:02:58,580 --> 00:03:03,220
+ال center of mass كيف بده احسبه قانون ال X center
+
+43
+00:03:03,220 --> 00:03:07,160
+of mass طبعا في ال X center of mass بيساوي M واحد
+
+44
+00:03:07,160 --> 00:03:11,900
+في X واحد ال X center of mass اني احصل على
+
+45
+00:03:11,900 --> 00:03:17,440
+احداثيات احداثيات نقطة اللي هي احداثيات هذه النقطة
+
+46
+00:03:17,440 --> 00:03:20,280
+هي عبارة عن X وY
+
+47
+00:03:23,700 --> 00:03:27,500
+بدي اجيب ال X و ال Y هذا بيكون هو ال center of
+
+48
+00:03:27,500 --> 00:03:30,320
+mass إذا ال center of mass X center of mass بيستوي
+
+49
+00:03:30,320 --> 00:03:38,020
+M1 في X1 زائد M2 في X2 هي X2 بالنسبة لل origin
+
+50
+00:03:38,020 --> 00:03:44,980
+طبعا أنا بجيس بالنسبة لل origin على M1 زائد M2 طيب
+
+51
+00:03:44,980 --> 00:03:48,900
+لو كان عندي أثر مجسم يعني هي عندي مجموعة من ال
+
+52
+00:03:48,900 --> 00:03:53,430
+particles هي واحد هي اتنين هي تلاتة هي أربعهو بدي
+
+53
+00:03:53,430 --> 00:04:04,710
+اجيب ال X Center of Mass م1 م2 م3 م4 هذا X1 هذا X2
+
+54
+00:04:04,710 --> 00:04:10,390
+هذا X3 هذا X4 بالساوية X4 بالساوية 0 فبقول X
+
+55
+00:04:10,390 --> 00:04:16,250
+Center of Mass ايش بالساوية M1 X1أم زائد ام اتنين
+
+56
+00:04:16,250 --> 00:04:21,530
+في X2 زائد ام تلاتة في X3 زائد زائد زائد زائد زائد
+
+57
+00:04:21,530 --> 00:04:24,950
+زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد
+
+58
+00:04:24,950 --> 00:04:24,990
+زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد
+
+59
+00:04:24,990 --> 00:04:25,170
+زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد
+
+60
+00:04:25,170 --> 00:04:28,490
+زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد
+
+61
+00:04:28,490 --> 00:04:29,710
+زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد
+
+62
+00:04:29,710 --> 00:04:38,870
+زائد زائد زائد زائد زائد زائد زائد زائد زائد
+
+63
+00:04:38,870 --> 00:04:42,290
+زائد
+
+64
+00:04:42,290 --> 00:04:43,090
+زائد
+
+65
+00:04:49,170 --> 00:04:56,550
+م6 م7 م8 م9 م6
+
+66
+00:04:56,550 --> 00:04:56,750
+م7 م8 م9 م9 م6 م6 م7 م8 م9 م9 م6 م6 م6 م6 م6 م6 م6
+
+67
+00:04:56,750 --> 00:04:56,750
+م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6
+
+68
+00:04:56,750 --> 00:04:57,270
+م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6
+
+69
+00:04:57,270 --> 00:04:57,270
+م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6
+
+70
+00:04:57,270 --> 00:04:57,290
+م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6
+
+71
+00:04:57,290 --> 00:05:02,890
+م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6 م6
+
+72
+00:05:02,890 --> 00:05:07,230
+م6 م6 م6 م6 م6 م6 م6 م6 م6من واحد لان لعدد ال
+
+73
+00:05:07,230 --> 00:05:13,150
+particles اللي موجود عندك مي إكس اي مواحد دعوض
+
+74
+00:05:13,150 --> 00:05:17,230
+بواحد لو قلت لخمسة خمسة particles بيصير عندك م
+
+75
+00:05:17,230 --> 00:05:20,790
+واحد اكس واحد زائد م اتنين اكس اتنين زائد م تلاتة
+
+76
+00:05:20,790 --> 00:05:26,820
+اكس تلاتة و هكذاWhere M بيسوي M واحد زاد M اتنين
+
+77
+00:05:26,820 --> 00:05:32,340
+الصممش لآخر particle عندي هذا بيسمي ال total mass
+
+78
+00:05:32,340 --> 00:05:36,940
+إذا بقدر أقول ال center of mass لأي particle في ال
+
+79
+00:05:36,940 --> 00:05:39,980
+X طبعا هشتغل في ال Y بنفس الطريقة ال center of
+
+80
+00:05:39,980 --> 00:05:43,780
+mass لأي particle هو واحد على الكتلة الكلية الكتلة
+
+81
+00:05:43,780 --> 00:05:48,880
+الكلية هي مجموع الكتل اللي موجود عندي لهذه ال
+
+82
+00:05:48,880 --> 00:05:59,030
+particlesعلى مضروبة في مين في مجموع mi في xi طيب
+
+83
+00:05:59,030 --> 00:06:02,970
+لو انا جيت جولتو عندي y center of mass ايش بده
+
+84
+00:06:02,970 --> 00:06:10,550
+اعمل y10 y2 y3Y4 و هكذا إذا ال Y Center of mass
+
+85
+00:06:10,550 --> 00:06:15,210
+واحد على M summation على I من واحد لان عدد ال
+
+86
+00:06:15,210 --> 00:06:19,850
+particles الموجود عند MIXI
+
+87
+00:06:19,850 --> 00:06:24,350
+أو YI لزد كذلك لأن أنا بتكلم الآن عن point لو قلت
+
+88
+00:06:24,350 --> 00:06:27,550
+ان في مجموعة من ال particles المنتشرة في هذا الفرق
+
+89
+00:06:27,550 --> 00:06:30,430
+بتوجد ال center of mass لها بتوجد ال center of
+
+90
+00:06:30,430 --> 00:06:34,990
+mass هي point نقطة موجودة إليها إحداثيات إليها X
+
+91
+00:06:34,990 --> 00:06:40,520
+إليها Y إليهازد فال X center of mass و Y center of
+
+92
+00:06:40,520 --> 00:06:44,940
+mass و Z center of mass هذه الإحداثيات بكتبها عن
+
+93
+00:06:44,940 --> 00:06:50,960
+طريق XY او Z إحداثيات و
+
+94
+00:06:50,960 --> 00:06:55,370
+لما اكتب اناالـ vector notation لها ال vector
+
+95
+00:06:55,370 --> 00:06:59,190
+notation كان بقول R ك vector لهذه النقطة متجه
+
+96
+00:06:59,190 --> 00:07:02,850
+الموضع يعني موضع ال center of mass ايش بده يساوي X
+
+97
+00:07:02,850 --> 00:07:07,350
+center of mass في اتجاه ال X و Y center of mass ده
+
+98
+00:07:07,350 --> 00:07:11,950
+المراكب الصادقية بنسميه ال Z center of mass وبقدر
+
+99
+00:07:11,950 --> 00:07:16,290
+اقول ال R center of mass ك vector ال R center of
+
+100
+00:07:16,290 --> 00:07:20,810
+mass بس واحد على M constantمجموع الكتر او scalar
+
+101
+00:07:20,810 --> 00:07:26,870
+في ال summation على i ك vector mi في ri يعني ال
+
+102
+00:07:26,870 --> 00:07:33,070
+particle الأولاني هنا إله x و y و z هذا r position
+
+103
+00:07:33,070 --> 00:07:38,470
+vector بسميه ال particle التاني إله كمان r x y و z
+
+104
+00:07:38,470 --> 00:07:43,730
+هذا vector x center of mass زائد y center of mass
+
+105
+00:07:43,730 --> 00:07:52,410
+زائد z center of mass في اتجاه ال kهنا م1 في ايش
+
+106
+00:07:52,410 --> 00:07:59,970
+في x واحد في اتجاه ال I زائد y واحد في اتجاه ال z
+
+107
+00:07:59,970 --> 00:08:05,550
+زائد z واحد في اتجاه ال k يعني انا بنفس الطريقة
+
+108
+00:08:05,550 --> 00:08:09,770
+زائد m اتنين vector بعدين بجمع ال x component و ال
+
+109
+00:08:09,770 --> 00:08:13,950
+y component و تطلع حيش العلاقة السابقة طب لو كان
+
+110
+00:08:13,950 --> 00:08:19,810
+عند ريجد bodyجسم جاس أو جسم صلب مبتصل زي هيك زي
+
+111
+00:08:19,810 --> 00:08:25,630
+هذا الجسم أو اي شكل انت حابه كرسي مساحة اي حاجة و
+
+112
+00:08:25,630 --> 00:08:29,610
+بدي اوجد ال center of mass انه مش ال center of
+
+113
+00:08:29,610 --> 00:08:34,810
+mass او هو هذا الجسم عبارة عن مجموعة من الايسام
+
+114
+00:08:34,810 --> 00:08:40,690
+الصغيرة جدا اذا قلت هاي قلم اندي او هاي مصنرة او
+
+115
+00:08:40,690 --> 00:08:44,910
+هاي رودوبتجيب ال center of mass مش أنا بقطعه
+
+116
+00:08:44,910 --> 00:08:53,470
+لأجسام صغيرة جداً هذه عبارة عن نقطة أولى لهاx1.x2
+
+117
+00:08:53,470 --> 00:09:02,370
+.x3.x4.x5.x6.x7.x8.x9.x10.x11.x12.x13.x12.x13.x13
+
+118
+00:09:02,370 --> 00:09:02,710
+.x13.x13.x13.x13.x13.x13.x13.x13.x13.x13.x13.x13
+
+119
+00:09:02,710 --> 00:09:03,170
+.x13.x13.x13.x13.x13.x13.x13.x13.x13.x13.x13.x13
+
+120
+00:09:03,170 --> 00:09:03,170
+.x13.x13.x13.x13.x13.x13.x13.x13.x13.x13.x13.x13
+
+121
+00:09:03,170 --> 00:09:07,050
+.x13.x13.x13.x13.x13.x13.x13.x13.x13.x13.x13.x13
+
+122
+00:09:07,050 --> 00:09:16,150
+.x13.x13.x13.x13.x13.x13.x13.x13.x13.x13.x13
+
+123
+00:09:17,180 --> 00:09:22,200
+و بعدين تكامل y center of mass 1 على M و Y DM و Z
+
+124
+00:09:22,200 --> 00:09:26,860
+center of mass 1 على M تكامل Z DM و DM هي مجموعة
+
+125
+00:09:26,860 --> 00:09:31,620
+العناصر لما تقول لمين لل Zero و بقدر من خلالها
+
+126
+00:09:31,620 --> 00:09:37,190
+أحسب ال center of massوبطلع قيمة الـ x و ال y و ال
+
+127
+00:09:37,190 --> 00:09:41,970
+z ك coordinate ممكن اكتبها بصورة تانية ال R center
+
+128
+00:09:41,970 --> 00:09:46,410
+of mass ك vector بيستوحى هذا ال M التكامل R DM و
+
+129
+00:09:46,410 --> 00:09:51,690
+ال R عبارة عن x و ال y و ال z component وهذا ال
+
+130
+00:09:51,690 --> 00:09:55,970
+vector position بيسميه الآن ناخد مثال على هالكلام
+
+131
+00:09:55,970 --> 00:10:00,290
+اللي أخدناه لو انا فيه عندين لو انا فيه عندين
+
+132
+00:10:00,290 --> 00:10:05,010
+مجموعة من العناصر او مجموعة من ال particlesكتلة
+
+133
+00:10:05,010 --> 00:10:12,870
+الأولى M1 M1 قيمتها واحد كيلو جرام وهي M1 وهنا عند
+
+134
+00:10:12,870 --> 00:10:19,170
+M2 كتلتها اتنين كيلو جرام و M3 كتلتها تلاتة كيلو
+
+135
+00:10:19,170 --> 00:10:23,530
+جرامالمطلوب من الـ find the center of mass بدي
+
+136
+00:10:23,530 --> 00:10:26,230
+أوجد الـ center of mass بدي أطبخ القانون، لاحظوا
+
+137
+00:10:26,230 --> 00:10:30,610
+كان من ال dimension X وY كانوا في plane لكن لو
+
+138
+00:10:30,610 --> 00:10:33,810
+أعطاني النقطة في الـ Z بدي أجيب الـ Z center of
+
+139
+00:10:33,810 --> 00:10:36,130
+mass بدي أجرى ال X center of mass كان من ال
+
+140
+00:10:36,130 --> 00:10:40,570
+particle أن دي تلاتة أم واحد في X واحد، أم اتنين
+
+141
+00:10:40,570 --> 00:10:44,250
+في X اتنين وام تلاتة في X تلاتة على مجموحهم
+
+142
+00:10:44,250 --> 00:10:50,120
+مجموحهم اتنين وتلاتة وواحد، بيطلع مجموحهم ستةالأول
+
+143
+00:10:50,120 --> 00:10:56,020
+M1 إيه؟ إله X، X إله بالساوة زير وفيش إله X؟ إيش
+
+144
+00:10:56,020 --> 00:11:00,980
+إيه ال X؟ مش إيه ال X هي البعد عن محور Y، إذا هنا
+
+145
+00:11:00,980 --> 00:11:05,600
+هل يبعد هذا الجسم الأول عن محور Y؟ لأ، هو واقع على
+
+146
+00:11:05,600 --> 00:11:10,900
+محور Y، أي جسم بيقع على محور Y، X إله بالساوة زير،
+
+147
+00:11:10,900 --> 00:11:16,140
+إذا هذا كأن Y هو عبارة عن X بالساوة زيرتنين الجسم
+
+148
+00:11:16,140 --> 00:11:21,020
+التاني تنين بُعده جدّيش أحطانيها واحد متر والآخر
+
+149
+00:11:21,020 --> 00:11:24,900
+تلاتة بُعده جدّيش أربعة متر، اذا تلاتة في أربعة
+
+150
+00:11:24,900 --> 00:11:28,960
+بحسبهم و بطلع اربعتاش على ستة بطلع اتنين و تلاتة
+
+151
+00:11:28,960 --> 00:11:35,540
+تلاتين من ميلاحظوا وين بيقع في المنطقة هذههذا ال X
+
+152
+00:11:35,540 --> 00:11:39,260
+Center of Mass الان بدي Y Center of Mass مش منطقي
+
+153
+00:11:39,260 --> 00:11:42,480
+ان يكون هنا مايجيبش ال Y Center of Mass فيخد لفوق
+
+154
+00:11:42,480 --> 00:11:46,380
+الأصل يكون طالع لفوق كمان شوية نيجي نحسب ال Y
+
+155
+00:11:46,380 --> 00:11:50,340
+Center of Mass بقول M1 في Y1 زي M2 في Y2 زي M3 في
+
+156
+00:11:50,340 --> 00:11:59,880
+Y3 لاحظوا هنا Y ل M1 هي قيمتها هذه المسافة اللي هي
+
+157
+00:11:59,880 --> 00:12:07,100
+عطينيها 2 مترلكن Y هنا Zero و Y هنا Zero
+
+158
+00:12:09,250 --> 00:12:13,610
+ما بتبعد ال Y هي البعد عن محور X إذاً Y هنا قيمتها
+
+159
+00:12:13,610 --> 00:12:16,210
+Zero و Y هنا قيمتها Zero إذاً بيقدر يقول M1 في Y
+
+160
+00:12:16,210 --> 00:12:19,930
+واحد واحد في اتنين فقط و اتنين في Zero و تلاتة في
+
+161
+00:12:19,930 --> 00:12:23,090
+Zero على مجموع الكتر اللي هي ستة بيطلع قيمتها
+
+162
+00:12:23,090 --> 00:12:26,710
+اتنين على ستة تلت تلاتة و تلاتين من مية متر إذاً
+
+163
+00:12:26,710 --> 00:12:30,530
+ال R Center of Mass تنين و تلاتة و تلاتين من مية
+
+164
+00:12:30,530 --> 00:12:34,930
+هنا هذه ال X لها و ال Y تلاتة و تلاتين إذا نقطة ال
+
+165
+00:12:34,930 --> 00:12:39,940
+Center of Mass هي عند النقطة هذهلاحظوا ال center
+
+166
+00:12:39,940 --> 00:12:48,560
+of mass يقع في منطقة بين الكتل، لا يمكن أن يكون في
+
+167
+00:12:48,560 --> 00:12:52,760
+الخارج الكتل، يجب أن يكون بين الكتل، لو كان لدي
+
+168
+00:12:52,760 --> 00:12:57,300
+كتلتين هنا، ال center of mass بينهم هو أقرب لمن؟
+
+169
+00:12:57,300 --> 00:13:00,620
+للكتلة الأكبر، لو قلت هنا عشرة كيلو جرام و هنا
+
+170
+00:13:00,620 --> 00:13:04,940
+اتنين كيلو جرام، ال center of mass يذهب لمن؟ أقرب
+
+171
+00:13:04,940 --> 00:13:11,010
+للعشرةلو حطت جسم هنا كمان، أي جسم تلاتة كيلو جرام،
+
+172
+00:13:11,010 --> 00:13:14,010
+بدي يطلع لفوق في جهة تلاتة كيلو جرام، لذا الـ
+
+173
+00:13:14,010 --> 00:13:18,350
+Center of Press بدي يكون تقريبا وين؟ بينهما، فعشان
+
+174
+00:13:18,350 --> 00:13:23,640
+يكون خارج الـ system، لازم يكون داخل الـ systemهذا
+
+175
+00:13:23,640 --> 00:13:27,660
+بالنسبة لـ Center of Mass لثلاث أجسام حسبت لها الـ
+
+176
+00:13:27,660 --> 00:13:31,300
+X و الـ Y و الـ X و الـ Y و لو كان في عندى فى
+
+177
+00:13:31,300 --> 00:13:34,800
+الفراغ بقدر اقول فى عندى كمان Z و حدد قيمة الـ Z
+
+178
+00:13:34,800 --> 00:13:38,860
+اللى هو Z واحد و Z اتنين و Z تلاته طبعا الـ Z فيش
+
+179
+00:13:38,860 --> 00:13:43,800
+عند الـ Z نجي ناخد سؤال تانى هذا مثال تانى على ال
+
+180
+00:13:43,800 --> 00:13:50,240
+rigid body فى عندى رود Uniformكمان مرة بقول ال
+
+181
+00:13:50,240 --> 00:13:56,480
+uniform أي سيستم متزن أسف أي شكل uniform center of
+
+182
+00:13:56,480 --> 00:14:01,220
+mass وين في المركز الهندسي هتطلع معاه ولان هثبت ان
+
+183
+00:14:01,220 --> 00:14:06,660
+ال center of mass وين في المنتصف الأصل يكون في
+
+184
+00:14:06,660 --> 00:14:10,920
+المنتصف يعني ال center ال x center of mass بساوي L
+
+185
+00:14:10,920 --> 00:14:16,920
+على 2ماذا سأفعل؟ قبل أن أبدأ في الحل، سأقول هناك
+
+186
+00:14:16,920 --> 00:14:21,400
+حاجة اسمها Lambda و هناك حاجة اسمها Sigma و هناك
+
+187
+00:14:21,400 --> 00:14:29,200
+حاجة اسمها Raw Lambda Lambda هي عبارة عن M على L
+
+188
+00:14:29,200 --> 00:14:37,080
+ماهو Lambda؟ Uniform Distribution الكتلة موزعة
+
+189
+00:14:37,080 --> 00:14:39,780
+Uniform Distribution لما تكون Uniform Distribution
+
+190
+00:14:39,780 --> 00:14:44,720
+توزيع منتظرعلى مين على الطول بقول لامدا وسوء ام
+
+191
+00:14:44,720 --> 00:14:49,320
+على ال لو كانت ايش معناتها حاطيتها ده واحد لامدا
+
+192
+00:14:49,320 --> 00:14:55,620
+بتكون كتلة الواحد كتلة ال one كتلة الوحدة الوحدة
+
+193
+00:14:55,620 --> 00:15:00,460
+جدش عند واحد صنطي واحد متر اذا هنا ام على ال
+
+194
+00:15:00,460 --> 00:15:07,220
+معناتها كتلة الوحدة وهذا سميها لامدا توزيع بالنسبة
+
+195
+00:15:07,220 --> 00:15:13,580
+لمين للطول اذا كان منطلع لو عندكأخدت Lambda هنا
+
+196
+00:15:14,300 --> 00:15:17,620
+لامد المتر الأولاني والمتر التاني هيكون مقله نفس
+
+197
+00:15:17,620 --> 00:15:20,300
+اللامده والمتر التالت نفس اللامده لأن توزيع مقله
+
+198
+00:15:20,300 --> 00:15:25,140
+منطلع لو ماكانش توزيع منطلع مابنفعش هذا الكلام طيب
+
+199
+00:15:25,140 --> 00:15:30,760
+M على L لو أنا أخدت جزء أصغر قطعة منه او واحد على
+
+200
+00:15:30,760 --> 00:15:34,540
+طولها هل بتتغير قيمة اللامده؟ قيمة اللامده مالها
+
+201
+00:15:34,540 --> 00:15:38,400
+ثابتة لأنها uniform distribution لو صغرتها لامده
+
+202
+00:15:38,400 --> 00:15:46,260
+هتسوي ليه ايش؟ لامده بيسوي DMعلى DX طول هنا طوله L
+
+203
+00:15:46,260 --> 00:15:52,420
+كتلته M أخدت قطعة منه M1 على L1 ماتغيرتش Lambda
+
+204
+00:15:52,420 --> 00:15:57,240
+أخدت جزء بسيط جدا يقول لل Zero DM على DX برضه
+
+205
+00:15:57,240 --> 00:16:01,320
+Lambda قيمتها إيش ما لها ثابتة قسمة ال M على L
+
+206
+00:16:01,320 --> 00:16:05,600
+دايما مالها قيمة ثابتة لأنه uniform distribution
+
+207
+00:16:06,480 --> 00:16:11,540
+يعني زي مابتروح تشتري سلك مثلا سلك تلفون سلك بروح
+
+208
+00:16:11,540 --> 00:16:16,920
+بيوزنلك يهو الميزان ليش؟ لأنه عارف ان كتلة المتر
+
+209
+00:16:16,920 --> 00:16:22,900
+عشرين جرام طلع معاه مائة جرام معناه هذا انه عنده
+
+210
+00:16:22,900 --> 00:16:26,760
+خمسة متر لذا الكتلة على الطول بالثورة لامدة عارف
+
+211
+00:16:26,760 --> 00:16:32,160
+اللامدة هو ووزن الكتلةوزن الكتلة عرف الكتلة بقدر
+
+212
+00:16:32,160 --> 00:16:37,040
+طول ايه اش الال ويعرف طول ال .. كم من متر هو بقى
+
+213
+00:16:37,040 --> 00:16:41,820
+طيب هذا ال DM على DX ايش بستفيد منها بستفيد انها
+
+214
+00:16:41,820 --> 00:16:45,320
+لأنه في تكامل الان بدي اشتغل في هذا التكامل حتى
+
+215
+00:16:45,320 --> 00:16:49,160
+اطلع قيمة ال center of mass اذا انت عارف ال X
+
+216
+00:16:49,160 --> 00:16:53,300
+center of mass هو واحد على M الكتلة الكلية للرود
+
+217
+00:16:53,300 --> 00:16:58,300
+في التكامل XDM كمان نقطة تانية بدي اقولها لو انا
+
+218
+00:16:58,300 --> 00:17:02,670
+عندي مساحةأي ان كانت هذه المساحة او بتجيب هذه
+
+219
+00:17:02,670 --> 00:17:06,350
+المساحة تحت المنحنة اش بيعمل مش بيقطعها جطع صغيرة
+
+220
+00:17:06,350 --> 00:17:10,130
+جدا عبارة عن مستطيل لأ و بعد هي كانت بيكمل من X
+
+221
+00:17:10,130 --> 00:17:15,870
+initial ل X final من ال initial ل ال final و هذه
+
+222
+00:17:15,870 --> 00:17:20,410
+نفس الاشي كأن قطعته عبارة عن نقاط متراسة جانب بعض
+
+223
+00:17:20,410 --> 00:17:26,930
+وكملت من أول عنصر من X initial ل X final معطيني ال
+
+224
+00:17:26,930 --> 00:17:31,800
+center of mass لهذاالشكل اللي موجود عندى اذا بقدر
+
+225
+00:17:31,800 --> 00:17:35,520
+اقول واحدة تكامل X DM هذا التعريف ال center of
+
+226
+00:17:35,520 --> 00:17:39,920
+mass لان بلزمنا حاجتين X initial جدش قيمتها و X
+
+227
+00:17:39,920 --> 00:17:44,920
+final جدش قيمتها اول عنصر وين وقع واخر عنصر وين
+
+228
+00:17:44,920 --> 00:17:51,350
+وقع نيجي هذا التكامل لما كاملوا X DMالـ X متغيرة
+
+229
+00:17:51,350 --> 00:17:54,610
+هي الـ X هي أخدت العنصر أنا و بدى كامل على هذا
+
+230
+00:17:54,610 --> 00:17:58,850
+العنصر نفس ما كنت أخد هنا مساحة معينة هذه DX
+
+231
+00:17:58,850 --> 00:18:03,370
+تقولها Y و Y DX مساحتها و أكامل عليها و أطلع من X
+
+232
+00:18:03,370 --> 00:18:07,470
+initial ل X final الآن نفس الطريقة بدى أقول 1 على
+
+233
+00:18:07,470 --> 00:18:11,750
+M تكون من X initial ل X final X DM لاحظوا X متغيرة
+
+234
+00:18:11,750 --> 00:18:18,450
+بزيد بزيد بزيد لما تصل ل X final بتساوي Lإذا أنا
+
+235
+00:18:18,450 --> 00:18:22,390
+بتبدأ من X بتساوي Zero و بتزيد و بتزيد و بتزيد و
+
+236
+00:18:22,390 --> 00:18:28,450
+بتزيد و بتزيد
+
+237
+00:18:28,450 --> 00:18:31,790
+و بتزيد و بتزيد و بتزيد و بتزيد و بتزيد و بتزيد و
+
+238
+00:18:31,790 --> 00:18:31,930
+بتزيد و بتزيد و بتزيد و بتزيد و بتزيد و بتزيد و
+
+239
+00:18:31,930 --> 00:18:33,090
+بتزيد و بتزيد و بتزيد و بتزيد و بتزيد و بتزيد و
+
+240
+00:18:33,090 --> 00:18:33,150
+بتزيد و بتزيد و بتزيد و بتزيد و بتزيد و بتزيد و
+
+241
+00:18:33,150 --> 00:18:33,150
+بتزيد و بتزيد و بتزيد و بتزيد و بتزيد و بتزيد و
+
+242
+00:18:33,150 --> 00:18:33,210
+بتزيد و بتزيد و بتزيد و بتزيد و بتزيد و بتزيد و
+
+243
+00:18:33,210 --> 00:18:33,350
+بتزيد و بتزيد و بتزيد و بتزيد و بتزيد و بتزيد و
+
+244
+00:18:33,350 --> 00:18:41,140
+بتزيد و بتزيد و بتزيد و بتزيد و بتزيد و بتزلما
+
+245
+00:18:41,140 --> 00:18:46,000
+تقول x dy ايش بتعمل؟ مش بتروح تجيب ال x يا بتحولها
+
+246
+00:18:46,000 --> 00:18:50,600
+لل y او بتحول ال dy بدلالة ال dx حتى دي تقدر تكمل،
+
+247
+00:18:50,600 --> 00:18:53,860
+اذا ال DM هذي بدي اغيرها، ما الانوال ال lambda
+
+248
+00:18:53,860 --> 00:18:58,100
+بيستوى DM على DX، lambda بيستوى DM على DX، و بتسوى
+
+249
+00:18:58,100 --> 00:19:01,500
+M على L طبعا من البداية، او بيستوى M1 على L1 و قمت
+
+250
+00:19:01,500 --> 00:19:05,580
+معاها ثابتة uniform distributionإذا بقدر أقول DM
+
+251
+00:19:05,580 --> 00:19:08,860
+بيساوي Lambda في إيش؟ في DX إذا بقدر أشيل هذا و
+
+252
+00:19:08,860 --> 00:19:12,140
+أحط محله Lambda في DX وكمان مرة Uniform
+
+253
+00:19:12,140 --> 00:19:14,960
+Distribution ليش Uniform Distribution؟ Uniform
+
+254
+00:19:14,960 --> 00:19:18,680
+Root إذا بقدر اللامدة هذه النقدار ثابت تطلع برا
+
+255
+00:19:18,680 --> 00:19:23,420
+التكامل إذا باجب أقول DM بيساوي Lambda DX و بعوض
+
+256
+00:19:23,420 --> 00:19:28,160
+عنها بيصير التكامل X Center of Mass بيساوي Lambda
+
+257
+00:19:28,160 --> 00:19:33,660
+طلعت برا التكاملعلى M تكامل من X initial من Zero ل
+
+258
+00:19:33,660 --> 00:19:40,380
+L X DX و بطلع هذا التكامل لاحظ تكامل ال X X تربيع
+
+259
+00:19:40,380 --> 00:19:44,140
+على اتنين حدود تكامل من L من Zero ل L اللي فوق
+
+260
+00:19:44,140 --> 00:19:50,020
+ناقص اللي تحت بطلع عنده Lambda في L تربيع على M في
+
+261
+00:19:50,020 --> 00:19:54,100
+اتنين طب اللامدة ها دي قيمتها هيها كتبناها و
+
+262
+00:19:54,100 --> 00:19:58,440
+المقدرها ثابت ايش بتساوي M على L بعوض محلها M على
+
+263
+00:19:58,440 --> 00:20:05,850
+Lوعندى هنا ال square على اتنين M مطلع زى ما توقعنا
+
+264
+00:20:05,850 --> 00:20:09,690
+ال X center of mass هو L على اتنين لذا هذا هو ال X
+
+265
+00:20:09,690 --> 00:20:15,310
+center of mass الآن
+
+266
+00:20:15,310 --> 00:20:19,990
+بتنكمل لو dynamics of a system of particles
+
+267
+00:20:36,800 --> 00:20:40,340
+نرجع الان احنا عارفين R center of mass ايش فيه سوى
+
+268
+00:20:40,340 --> 00:20:45,000
+واحد على M في ال summation على I من I ل .. من واحد
+
+269
+00:20:45,000 --> 00:20:52,620
+ل N M I R I طيب ال A ال M لو انا ضربتها زي هيكم
+
+270
+00:20:52,620 --> 00:20:57,900
+بيصير ال M في ال R center of mass سوى summation
+
+271
+00:20:57,900 --> 00:21:03,320
+على M I في R Iطب لو عملتلي تشتقاق ال derivative
+
+272
+00:21:03,320 --> 00:21:07,760
+لهذه ال equation اللي فوق هنا نشتقها بتشتق الطرف
+
+273
+00:21:07,760 --> 00:21:12,260
+الأيمن و الطرف الأيسر ال M constant لما أشتقها
+
+274
+00:21:12,260 --> 00:21:16,000
+بتطلع أشمالها خارج التفاضل تصير M في Vc center of
+
+275
+00:21:16,000 --> 00:21:21,420
+mass بتساوي M نشتق هذا summation للكتر مين انه
+
+276
+00:21:21,420 --> 00:21:24,960
+تغير يعني دي ال X و ال Y و ال Z لو كانت X و هذه ال
+
+277
+00:21:24,960 --> 00:21:28,200
+X و بتشتقها بالنسبة لل type إيش بتعطينا؟ بتعطينا
+
+278
+00:21:28,200 --> 00:21:32,540
+ال velocityوهذا summation اذا بقدر اقول M في ال V
+
+279
+00:21:32,540 --> 00:21:37,000
+center of mass لو اشتقتها كمان مرة ال M في ال A
+
+280
+00:21:37,000 --> 00:21:43,180
+center of mass بيساوي ال summation على I بيساوي من
+
+281
+00:21:43,180 --> 00:21:49,500
+I بيساوي واحد ل N M I A I وهذا ال summation لإيش M
+
+282
+00:21:49,500 --> 00:21:55,020
+I في ال A I ال summation لل forceطيب summation of
+
+283
+00:21:55,020 --> 00:21:59,740
+force وصيغة لمين لقانون in Newton يعني لو كان عندي
+
+284
+00:21:59,740 --> 00:22:04,660
+مجموعة من ال particles two particles بينهم قوة
+
+285
+00:22:04,660 --> 00:22:10,460
+داخلية ولا تكن تجاذب لو كان فيه قوة خارجية أثرت
+
+286
+00:22:10,460 --> 00:22:13,700
+على جسم ال هنا او جسم ال هنا ايش بيصير عندي مجموعة
+
+287
+00:22:13,700 --> 00:22:17,340
+القوة على هذا ال particle هذه القوة زائد هذه القوة
+
+288
+00:22:17,340 --> 00:22:23,860
+بيأثر بقوتين الأف ال external زائد مينالقوة هدف طب
+
+289
+00:22:23,860 --> 00:22:27,000
+لو بدي اجمل الجسم اللي هنا فين دي القوة اللي بينهم
+
+290
+00:22:27,000 --> 00:22:30,240
+التنتين واحد اكشن واحد reaction اف سمنها اف واحد
+
+291
+00:22:30,240 --> 00:22:32,840
+اتنين و اف اتنين واحد التنتين متساويات و متعاكسات
+
+292
+00:22:32,840 --> 00:22:37,120
+محصلتهم جديد صفر مثل الأخر لو عند جسمين اصطدموا في
+
+293
+00:22:37,120 --> 00:22:42,370
+بعضواعتبرت هذا كله system واحد اتصادهم هذا قوة
+
+294
+00:22:42,370 --> 00:22:45,710
+داخلية ولا خارجية قوة داخلية لإن واحد أعمل فعل و
+
+295
+00:22:45,710 --> 00:22:50,350
+اتنقش رد فعل محصلتهم قداش بي equal to zero لكن لو
+
+296
+00:22:50,350 --> 00:22:54,690
+أثر عليهم كان واحد أو أثر عليهم قوة تانية أو أثرت
+
+297
+00:22:54,690 --> 00:22:58,490
+عليهم أي ان كان هذه القوة خارجية بدي أجمع القوة لل
+
+298
+00:22:58,490 --> 00:23:02,410
+system كله الآن في قوة خارجية أثرت على إيش على هذا
+
+299
+00:23:02,410 --> 00:23:05,690
+ال system إذا هذه القوة عبارة عن جزء منها قوة
+
+300
+00:23:05,690 --> 00:23:10,010
+داخليةالقوة الداخلية بتروح لاغية بعض، واحد أثر على
+
+301
+00:23:10,010 --> 00:23:14,370
+اتنين، واتنين أثر على واحد، اذا بتلغي بعض، بتظل
+
+302
+00:23:14,370 --> 00:23:20,350
+مين عنده؟ القوة الخارجية، اذا جميع القوة الداخلية،
+
+303
+00:23:20,350 --> 00:23:27,380
+واحد action، واحد reaction، وبتلغي بعضالـ External
+
+304
+00:23:27,380 --> 00:23:32,640
+Force هي القوة اللي بتأثر على ال system ككل، لكن
+
+305
+00:23:32,640 --> 00:23:37,180
+نرجع لنقطة معينة، التنين اصطدموا في بعض، هذا أثر
+
+306
+00:23:37,180 --> 00:23:39,880
+على هذا، و هذا أثر على هذا، إذا اعتبرت ال system
+
+307
+00:23:39,880 --> 00:23:43,700
+كله كsystem واحد، يعني مافيش يكون تلتين، اعتبرته
+
+308
+00:23:43,700 --> 00:23:47,840
+كله system واحد، بقول محصلة القوة المؤثر عليهم
+
+309
+00:23:47,840 --> 00:23:51,790
+Zeroلكن لو أخد أدرس الجسم اللي هنا بقول لأ هذا
+
+310
+00:23:51,790 --> 00:23:55,490
+الجسم تأثر بقوة من الجسم التاني جدش قيمتها
+
+311
+00:23:55,490 --> 00:23:59,650
+بيدحسبها وحنشوفها good أو العكس لو قالك احسب القوة
+
+312
+00:23:59,650 --> 00:24:02,630
+المؤثرة على هذا الجسم بتقول انه هذه في قوة أثرت
+
+313
+00:24:02,630 --> 00:24:07,230
+عليه من الجسم التاني لما اتكلم مع system كامل بقول
+
+314
+00:24:07,230 --> 00:24:10,690
+ان القوة اللي بينهم الداخلية بتساوي zero بتلغي
+
+315
+00:24:10,690 --> 00:24:15,630
+بعضها لكن القوة الخارجية هي اللي لها قيمة و بتساوي
+
+316
+00:24:15,630 --> 00:24:20,320
+ال F externalفورس اذا الان في ال a center of mass
+
+317
+00:24:20,320 --> 00:24:24,060
+كأنه بتعامل الان مع ال system هذا كأنه system
+
+318
+00:24:24,060 --> 00:24:29,740
+حبارة عن نقطة واحدة او system واحد الكتلته الكلية
+
+319
+00:24:29,740 --> 00:24:33,540
+في تسارعه في ال center of mass له بساوي ال
+
+320
+00:24:33,540 --> 00:24:40,780
+summation لل force external هي نجف و نكمل المحاضرة
+
+321
+00:24:40,780 --> 00:24:46,040
+الجاي حتى يكون و يعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/O0Vs0k53Ngc.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/O0Vs0k53Ngc.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9f2377397f8b8566749a44a66e0c7d3afd5a886b
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/O0Vs0k53Ngc.srt
@@ -0,0 +1,774 @@
+1
+00:00:05,620 --> 00:00:09,300
+السلام عليكم، يعطيكم العفو يا شباب، اليوم إن شاء
+
+2
+00:00:09,300 --> 00:00:14,400
+الله، هنكمل معكم اللي هو Chapter رقم ستة، Chapter رقم ستة
+
+3
+00:00:14,400 --> 00:00:18,000
+بنتكلم عن الـ work and energy، بنتكلم عن الـ
+
+4
+00:00:18,000 --> 00:00:23,000
+work and الـ energy، مرتبط هذا chapter بالـ force
+
+5
+00:00:23,000 --> 00:00:28,320
+مازال مرتبط بالـ force، مرتبط بحاجة اسمها الـ body diagram
+
+6
+00:00:28,320 --> 00:00:32,570
+اللي كنا نرسمه، الـ body diagram لأن قبل ما
+
+7
+00:00:32,570 --> 00:00:35,050
+أحل أي مسألة، أو قبل ما أتعامل مع أي مسألة في هذا
+
+8
+00:00:35,050 --> 00:00:38,270
+الـ chapter، بدي أرسم جميع القوة اللي بتأثر على هذا
+
+9
+00:00:38,270 --> 00:00:41,610
+الجسم، لأنه بدي أحسب حاجة اسمها الـ work، الـ work
+
+10
+00:00:41,610 --> 00:00:45,950
+اللي هو الشغل، طيب أنا الآن، هاي جسم موجود على
+
+11
+00:00:45,950 --> 00:00:49,770
+الطاولة، بدي أبدل عليه شغل، إيش بدي أعمل؟ بدي أحركه،
+
+12
+00:00:49,770 --> 00:00:54,610
+أزيحه، إذا هذه القوة اللي أثرت على الجسم عملت له
+
+13
+00:00:54,610 --> 00:01:01,360
+إزاحة، بيصير في عندي إيش؟ work، إذن القوة، طيب لو أنا
+
+14
+00:01:01,360 --> 00:01:06,880
+أثرت بقوة، و هذه القوة ما عملتش إزاحة، هل في شغل
+
+15
+00:01:06,880 --> 00:01:11,680
+مبذول من هذه القوة؟ لأ، يعني زي ما أنا أجي أحمل كيس
+
+16
+00:01:11,680 --> 00:01:17,060
+طحين مثلاً، قدرت أحمله و ما أزحته، أزحت هذا الجسم أو
+
+17
+00:01:17,060 --> 00:01:20,760
+هذا الكيس، بكون في هذه الحالة إيش عملت؟ بذلت شغل
+
+18
+00:01:20,760 --> 00:01:27,440
+ما قدرت أحركه، بذلت قوة لكن هل بذلت شغل؟ لأ، إذا الشغل
+
+19
+00:01:27,440 --> 00:01:33,500
+مرتبط بحاجتين، بالإزاحة، و مرتبط بمين؟ بالقوة، إذا لو
+
+20
+00:01:33,500 --> 00:01:38,940
+أنا في عندي أي object، أثرت عليه قوة F، وين كانت
+
+21
+00:01:38,940 --> 00:01:44,560
+تجاهها، صار في عندي إزاحة لهذا الجسم، إنزاح لهذا
+
+22
+00:01:44,560 --> 00:01:50,760
+الجسم، بنشأ حاجة اسمها work done by this force، إيش
+
+23
+00:01:50,760 --> 00:01:56,410
+بيساوي؟ الـ work بيساوي F ⋅ S، ذاكرين الـ ⋅ إيش؟
+
+24
+00:01:56,410 --> 00:02:01,490
+معناته كمية اللي بتنتج F force، الـ F grammar vector
+
+25
+00:02:01,490 --> 00:02:05,850
+الـ S displacement vector، dot product منهم إيش
+
+26
+00:02:05,850 --> 00:02:09,870
+بيعطيني work، إذا الـ work إيش هو؟ بده يكون scalar
+
+27
+00:02:09,870 --> 00:02:15,340
+quantity، scalar quantity، لأنه حاصل ضرب قياسي لمين؟
+
+28
+00:02:15,340 --> 00:02:19,720
+لمتجهين، هنا طيب أخدنا العلاقة dot product إيش؟
+
+29
+00:02:19,720 --> 00:02:23,800
+بالساوية F في S في cos الزاوية بين الـ F و بين
+
+30
+00:02:23,800 --> 00:02:30,240
+مين؟ الـ S، إذا الإزاحة اللي حصلت من هذه الـ force، من
+
+31
+00:02:30,240 --> 00:02:33,540
+خلالها، أنك تحسب الـ work، الـ work بيساوي F ⋅ S
+
+32
+00:02:33,540 --> 00:02:40,290
+الزاوية هذه لها عدة احتمالات، أن تكون zero، مش
+
+33
+00:02:40,290 --> 00:02:47,390
+معنى zero، يعني الجسم بهيئ، أثرت عليه القوة والإزاحة
+
+34
+00:02:47,390 --> 00:02:52,110
+بنفس الاتجاه، الـ F والـ S بنفس الاتجاه، الزاوية
+
+35
+00:02:52,110 --> 00:02:56,710
+اللي بينهم، جدع قيمتها ثيتا، بتساوي زيرو، لما تكون
+
+36
+00:02:56,710 --> 00:03:00,450
+ثيتا بتساوي زيرو، cos الزيرو إيش بيطلع عندي؟ واحد
+
+37
+00:03:00,450 --> 00:03:04,370
+فبيكون الـ work في هذه الحالة maximum، بيساوي F في
+
+38
+00:03:04,370 --> 00:03:09,250
+إيش؟ في S في cos الزيرو، cos الزيرو واحد، وهذا
+
+39
+00:03:09,250 --> 00:03:14,350
+يكون الـ maximum، الآن غيرت الزاوية، أثرت بقوة مالها
+
+40
+00:03:14,350 --> 00:03:20,590
+تانية بهذا الشكل، F، صار في إزاحة، لكن في زاوية بينها
+
+41
+00:03:20,590 --> 00:03:24,970
+تكون ثلاثين، إيش بيصير عندك؟ cos الثلاثين أقل من
+
+42
+00:03:24,970 --> 00:03:33,690
+واحد، بيصير الـ work ماله؟ الـ work قيمته F S cos
+
+43
+00:03:33,690 --> 00:03:38,950
+الزاوية الثلاثين، قيمته أقل، لأنه لو جيت تطلع الـ
+
+44
+00:03:38,950 --> 00:03:42,950
+force اللي هنا، كأنه في جزء منها في اتجاه الـ X، في
+
+45
+00:03:42,950 --> 00:03:46,830
+اتجاه الإزاحة، وهو اللي عمل الإزاحة، وجزء منها في
+
+46
+00:03:46,830 --> 00:03:51,250
+اتجاه الـ Y، الجزء اللي في اتجاه الـ Y عمودي إذن
+
+47
+00:03:51,250 --> 00:03:54,730
+مباشرة، بيقول لما تكون الزاوية، لما تكون ثيتا
+
+48
+00:03:54,730 --> 00:03:59,050
+بتساوي تسعين، π على
+
+49
+00:03:59,050 --> 00:04:03,520
+اتنين، إيش هيكون الـ cos ده؟ cos π على اتنين، جدع
+
+50
+00:04:03,520 --> 00:04:08,160
+قيمته zero، إذا مباشرةً منها الـ work بيساوي zero
+
+51
+00:04:08,160 --> 00:04:13,880
+إذا الـ work من أي قوة عمودية على الإزاحة، أيًا كانت
+
+52
+00:04:13,880 --> 00:04:21,940
+هذه القوة، الوزن، normal force، جزء من هذه القوة F cos
+
+53
+00:04:21,940 --> 00:04:25,500
+أو F sin الزاوية، كل الـ work منها بيساوي جدع
+
+54
+00:04:25,500 --> 00:04:30,420
+بيساوي zero، طيب هذا ممكن يكون الـ work بالسالب، يعني
+
+55
+00:04:31,550 --> 00:04:38,190
+أنا عندي الجسم هايم، الإزاحة بهذا الشكل، قوة بأثرت
+
+56
+00:04:38,190 --> 00:04:44,070
+معينة، في قوة تانية معاكسة للإزاحة، زي إيش مرت علينا
+
+57
+00:04:44,070 --> 00:04:50,950
+قوة معاكسة للإزاحة؟ الـ friction force، عكس الإزاحة
+
+58
+00:04:50,950 --> 00:04:56,230
+الزاوية اللي بينهم، قيمتها 180، π، إذا نقسم البي
+
+59
+00:04:56,230 --> 00:05:00,570
+إيش بيصير عندي؟ سالب واحد، إذا الـ work في هذه الحالة
+
+60
+00:05:00,570 --> 00:05:08,710
+بتكون negative، إذا الـ work ممكن يكون موجب، ممكن يكون
+
+61
+00:05:08,710 --> 00:05:13,170
+zero، وممكن يكون قيمته بالسالب، إذا الـ work ممكن
+
+62
+00:05:13,170 --> 00:05:17,770
+يكون positive، والقيمة maximum إذا كانت الزاوية بين
+
+63
+00:05:17,770 --> 00:05:21,950
+الـ force والإزاحة بتساوي 0، ممكن يكون negative
+
+64
+00:05:21,950 --> 00:05:27,710
+إذا كانت القوة عكس الإزاحة، يعني أنا بتعويق
+
+65
+00:05:27,710 --> 00:05:31,110
+في الإزاحة، يعني كأن الجسم بيتحرك بهذا الشكل، وأنا
+
+66
+00:05:31,110 --> 00:05:36,170
+بسحب فيه، بعمل إعاقة لهذه الحركة أو هذه الإزاحة
+
+67
+00:05:36,870 --> 00:05:40,930
+وممكن يكون قيمته بيساوي zero، وقت إيش بيكون قيمته
+
+68
+00:05:40,930 --> 00:05:44,930
+بيساوي zero؟ إذا كانت الـ force مالها؟ والإزاحة
+
+69
+00:05:44,930 --> 00:05:49,270
+متعامدة، الإزاحة بهذا الشكل، والـ force مالها؟
+
+70
+00:05:49,270 --> 00:05:53,990
+متعامدة، الزاوية اللي بينهم تسعين درجة، أيًا كانت هذه
+
+71
+00:05:53,990 --> 00:05:57,910
+القوة، جسم أثرت عليه بقوة عمودية على الإزاحة، في
+
+72
+00:05:57,910 --> 00:06:01,510
+قوتين، واحد بيسحب زي هيك، واحد عمودي عليه
+
+73
+00:06:01,510 --> 00:06:07,650
+العمودي، الـ work منها بيساوي zero، طيب الـ negative
+
+74
+00:06:07,650 --> 00:06:13,350
+مثال عليه، هقول لكم إيش هو؟ الـ frictional force، هو
+
+75
+00:06:13,350 --> 00:06:17,110
+مثال على الـ work لما يكون negative، إذا الـ work
+
+76
+00:06:17,110 --> 00:06:21,650
+negative، موجب، قيمته ممكن تكون بتساوي zero، نيجي
+
+77
+00:06:21,650 --> 00:06:25,870
+ناخد مثال تطبيقي على هذا الكلام اللي قلناه، اللي هو
+
+78
+00:06:25,870 --> 00:06:30,470
+لو أنا عندي جسم، أثرت عليه بقوة، وليكن القوة قيمتها
+
+79
+00:06:30,470 --> 00:06:35,670
+200 نيوتن، أثرت عليه بقوة 200 نيوتن، أو عشرين نيوتن
+
+80
+00:06:35,670 --> 00:06:43,390
+شايفين هنا جسم، كتلة بلوك كتلته m كيلو جرام، بتأثر
+
+81
+00:06:43,390 --> 00:06:49,330
+بقوة قيمتها عشرين نيوتن، عشرين نيوتن، أثرت عليه
+
+82
+00:06:49,330 --> 00:06:54,810
+بزاوية قيمتها سبعة و ثلاثين مع الـ horizontal، انزاح
+
+83
+00:06:54,810 --> 00:06:59,310
+الجسم مسافة، جدع هذا الجسم انتقل، وإزاحة مسافة
+
+84
+00:06:59,310 --> 00:07:06,050
+قيمتها أربعة متر في اتجاه الـ X، لما قلت إزاحة، إيش
+
+85
+00:07:06,050 --> 00:07:10,430
+الفرق بين الإزاحة والمسافة؟ الإزاحة هي مالها؟ متجهة
+
+86
+00:07:10,430 --> 00:07:13,970
+في اتجاه معين، إزاحة في اتجاه الـ x، قيمتها أربعة
+
+87
+00:07:13,970 --> 00:07:20,570
+متر، لكن مسافتي أربعة متر بس على سطح ماله؟ سطح rough
+
+88
+00:07:20,570 --> 00:07:27,790
+معامل الاحتكاك الحركي له 0.2، بدي أحسب الـ work
+
+89
+00:07:27,790 --> 00:07:33,770
+done by F، الـ work done by friction، الـ work done on
+
+90
+00:07:34,660 --> 00:07:40,020
+هذا block، الـ net work، يعني الشغل الكلي اللي أثّر
+
+91
+00:07:40,020 --> 00:07:44,200
+بهذا الجسم، يعني الشغل الكلي اللي هو الـ work الناشئ
+
+92
+00:07:44,200 --> 00:07:46,300
+من القوة الأولى، الـ work الناشئ من القوة الثانية، الـ
+
+93
+00:07:46,300 --> 00:07:50,660
+work الناشئ من القوة الثالثة، مجموعهم كلهم جدع بيساوي
+
+94
+00:07:50,660 --> 00:07:55,200
+أول حاجة بالزمن، أرسم الـ free body diagram، الـ free
+
+95
+00:07:55,200 --> 00:08:02,080
+body diagram، قوة، قوتين، تلاتة، عندهم mg من السطح
+
+96
+00:08:02,080 --> 00:08:07,780
+هذا، في normal force، الآن الـ 20 نيوتن بتحلل، 20 cos
+
+97
+00:08:07,780 --> 00:08:16,480
+37 بهذا الاتجاه، و 20 sin 37، هي اتجاهها هنا، 20 sin
+
+98
+00:08:16,480 --> 00:08:23,060
+37، زي ما هو واضح في الشكل اللي أمامي، وهنا 20 cos
+
+99
+00:08:23,060 --> 00:08:31,540
+37، الآن الـ work الناشئ من F، إيش بيساوي؟ قانونه F ⋅
+
+100
+00:08:31,540 --> 00:08:38,490
+S، بيساوي F في S في cos الزاوية اللي بينهم، F جدع
+
+101
+00:08:38,490 --> 00:08:44,730
+قيمتها عشرين، في أربعة متر، إزاحة، في cos الزاوية
+
+102
+00:08:44,730 --> 00:08:49,450
+اللي بينهم سبعة و ثلاثين، وبطلع القيمة، بطلع ثلاثة و
+
+103
+00:08:49,450 --> 00:08:53,700
+ستين وتسعة من عشرة، أو وحدتها بالجول، طيب ممكن الطالب
+
+104
+00:08:53,700 --> 00:08:56,600
+يقول لي، ممكن أحسبها بطريقة تانية، مش هذه الـ force
+
+105
+00:08:56,600 --> 00:09:00,500
+الـ 20 نيوتن هي عبارة عن قوتين، واحد في اتجاه الـ X
+
+106
+00:09:00,500 --> 00:09:03,360
+واحد في اتجاه الـ Y، واحد في اتجاه الـ X، واحد في
+
+107
+00:09:03,360 --> 00:09:06,400
+اتجاه الـ Y، اللي في اتجاه الـ Y بألغيها، ليش بألغيها؟
+
+108
+00:09:06,400 --> 00:09:11,560
+لأن بقدر أقول الـ work الناشئ من عشرين sin السبعة و
+
+109
+00:09:11,560 --> 00:09:18,620
+ثلاثين بيساوي zero، والـ work الناشئ من عشرين cos
+
+110
+00:09:18,620 --> 00:09:24,140
+السبعة و ثلاثين، هو الـ maximum، بيساوي عشرين cos 37
+
+111
+00:09:24,140 --> 00:09:28,180
+مُركبة
+
+112
+00:09:28,180 --> 00:09:36,280
+الـ cos في مين؟ في الـ 4، في cos 0، لأن هذا الجزء
+
+113
+00:09:36,280 --> 00:09:40,020
+اللي هنا، والإزاحة هي في زاوية بينهم، لأ، في cosine of
+
+114
+00:09:40,020 --> 00:09:43,760
+0، قلنا هذا الـ maximum، cos of 0، 1، هي نفس القيمة
+
+115
+00:09:43,760 --> 00:09:47,820
+إذا، لما حللتها، ممكن أنا آخذ تجاه الـ X وتجاه الـ Y
+
+116
+00:09:47,820 --> 00:09:50,880
+المطلوب بتاعي، الـ work done by friction، وين الـ
+
+117
+00:09:50,880 --> 00:09:55,000
+friction؟ عكس الإزاحة، الـ work من الـ friction في هذه
+
+118
+00:09:55,000 --> 00:10:00,040
+الحالة، أنا متوقع يطلع إيش؟ من Fk بالسالب، طب نشوف
+
+119
+00:10:00,040 --> 00:10:05,040
+يطلع بالسالب ولا لأ، الـ F وين اتجاهها؟ بهذا الاتجاه
+
+120
+00:10:05,040 --> 00:10:09,780
+والإزاحة عكس الاتجاه، الزاوية بينهم 180، إذا ما بقدر
+
+121
+00:10:09,780 --> 00:10:19,380
+أقول Fk قيمتها في الـ S في cos 180، cos 180 بتعطيني
+
+122
+00:10:19,380 --> 00:10:28,020
+السالب واحد، Fk جدع قيمة Fk، μk في الـ normal
+
+123
+00:10:28,020 --> 00:10:36,000
+force، في الـ S، ماذا يحصل في cos 180 = -1؟ ماذا يحصل في
+
+124
+00:10:36,000 --> 00:10:40,020
+الـ Normal Force؟ هل الـ Normal Force يساوي الـ mg
+
+125
+00:10:40,020 --> 00:10:45,540
+في هذه الحالة؟ لأ، الـ mg بتساوي الـ Normal Force
+
+126
+00:10:45,540 --> 00:10:53,490
+زائد عشرين sin سبعة و ثلاثين، الآن بيساوي mg ناقص
+
+127
+00:10:53,490 --> 00:10:56,450
+عشرين sin السبعة و ثلاثين، إذا بقدر أقول هذا بيساوي
+
+128
+00:10:56,450 --> 00:11:04,390
+سالب μk في الـ normal force، اللي هي mg ناقص عشرين sin
+
+129
+00:11:04,390 --> 00:11:09,050
+السبعة و ثلاثين، هذا الـ normal force، في قيمة الـ S
+
+130
+00:11:09,050 --> 00:11:12,930
+اللي هي الأربعة متر، والآن ما أعطانيها، g و μk، اتنين
+
+131
+00:11:12,930 --> 00:11:17,250
+وعشرة، بطلع القيمة، وبطلع قيمة الـ work done اللي
+
+132
+00:11:17,250 --> 00:11:24,500
+مؤثر على من الـ friction، الـ friction كمان مرة عكس
+
+133
+00:11:24,500 --> 00:11:29,200
+الإزاحة، إزاحة بهذا الشكل، إزاحة أربعة متر هنا، والـ
+
+134
+00:11:29,200 --> 00:11:32,500
+friction force عكسها، حسب الـ friction force، طيب
+
+135
+00:11:32,500 --> 00:11:35,520
+كمان مرة، الـ friction force بالضبط، من الـ normal
+
+136
+00:11:35,520 --> 00:11:38,180
+force، من المكان، في الـ normal force، الـ normal force
+
+137
+00:11:38,180 --> 00:11:43,620
+و الـ 20 sin، الـ 20 sin لفوق، والـ mg لتحت، هل في
+
+138
+00:11:43,620 --> 00:11:46,900
+acceleration؟ summation للـ forces في اتجاه الـ Y بيساوي
+
+139
+00:11:46,900 --> 00:11:49,800
+zero، وما فيش acceleration، إيش في عندي؟ في عندي N
+
+140
+00:11:49,800 --> 00:11:57,030
+زائد عشرين sin 37 ناقص الـ mg، بيساوي zero، منها بطلع
+
+141
+00:11:57,030 --> 00:11:59,230
+قيمة الـ N، هذا بنقلعه على الطرف الثاني، وهذا بنقلعه
+
+142
+00:11:59,230 --> 00:12:04,270
+على الطرف الثاني، بطلع قيمة الـ N، هي قيمة الـ N، الآن
+
+143
+00:12:04,270 --> 00:12:07,870
+أخر حاجة، الـ net work، الـ net work هو الـ work الناشئ
+
+144
+00:12:07,870 --> 00:12:12,590
+من جميع القوى، الـ net work، كان من قوة عندي الـ work
+
+145
+00:12:12,590 --> 00:12:16,970
+من الـ F، زائد الـ work من الـ friction force، بدا نكتب
+
+146
+00:12:16,970 --> 00:12:17,750
+زائد
+
+147
+00:12:20,070 --> 00:12:25,690
+زائد الـ work من الـ normal force، زائد الـ work من الـ
+
+148
+00:12:25,690 --> 00:12:30,290
+mg، الـ work من الـ normal force، والـ work من الـ mg
+
+149
+00:12:30,290 --> 00:12:35,470
+جدع بيساوي zero، بيساوي zero، لإيش؟ لأن الـ normal
+
+150
+00:12:35,470 --> 00:12:40,150
+force عمودي على السطح، دائمًا متعامد مع الإزاحة
+
+151
+00:12:40,150 --> 00:12:46,050
+عمودي على السطح، عمودي
+
+152
+00:12:46,050 --> 00:12:49,270
+على الإزاحة اللي بتحدث في هذا الوقت، دائمًا work
+
+153
+00:12:49,270 --> 00:12:55,030
+done by normal force بيساوي 0، الـ work الناشئ من الـ mg
+
+154
+00:12:55,030 --> 00:12:58,890
+الـ mg في هذه الحالة، وفي السطح، أو الإزاحة متعامدة
+
+155
+00:12:58,890 --> 00:13:02,530
+الـ work منها بيساوي zero، ويقضي الـ work من الـ F اللي
+
+156
+00:13:02,530 --> 00:13:05,970
+أنا حسبتها قبل شوية، وطلعت قيمتها اللي هو ثلاثة و
+
+157
+00:13:05,970 --> 00:13:09,270
+ستين وتسعة، والـ work من الـ Fk اللي بالسالب
+
+158
+00:13:09,270 --> 00:13:14,590
+بنجمعهم مع بعض، هذا الـ work من الـ Fk، وهذا الـ work من الـ
+
+159
+00:13:14,590 --> 00:13:18,830
+F، جمعتهم مع بعض، بس واحد بالموجب، وقلت أنا حسبت و
+
+160
+00:13:18,830 --> 00:13:22,910
+قلت الـ work من الـ friction بالسالب، طلع القيمة 57.8
+
+161
+00:13:22,910 --> 00:13:27,370
+جول، إذا أنا بقدر أحسب الـ work أو الـ net work، وقبل ما
+
+162
+00:13:27,370 --> 00:13:31,290
+أبدأ أحسب الـ work done من أي قوة، بالزمن أٌحدد هذه
+
+163
+00:13:31,290 --> 00:13:34,530
+القوى، تجاهها، وإيش علاقتها مع الإزاحة، وإذا في
+
+164
+00:13:34,530 --> 00:13:38,010
+إمكانية تحليلها، بحللها، ويعني بمعنى آخر، أرسم الـ
+
+165
+00:13:38,010 --> 00:13:42
+
+223
+00:18:23,740 --> 00:18:29,120
+force لازم  برك لا، ال spring بتساوي K في X بس بدي
+
+224
+00:18:29,120 --> 00:18:32,580
+أحطها بإشارة سالبة، ليش بدي أحطها بإشارة سالبة؟
+
+225
+00:18:32,580 --> 00:18:38,850
+لأنها عكس ال applied force، لو أنا سحبته بهذا الشكل
+
+226
+00:18:38,850 --> 00:18:42,930
+أثرت بقوة بهذا الشكل، ال force اللي ناشئة من
+
+227
+00:18:42,930 --> 00:18:47,290
+الزنبرك دائماً عكس الإزاحة اللي موجودة عندي، لو
+
+228
+00:18:47,290 --> 00:18:50,590
+أخذتها باتجاه ال X، بلاقي ال F X في الـ F S في
+
+229
+00:18:50,590 --> 00:18:55,590
+اتجاه ماله؟ في اتجاه معاكس، وقيمتها سالب K في X، إذا
+
+230
+00:18:55,590 --> 00:18:59,250
+السالب هذا إيش معناه؟ عكس ال displacement، إذا في
+
+231
+00:18:59,250 --> 00:19:05,970
+الاتجاه المعاكس للإزاحة. طيب ال K هذا إيش بيسمّيه؟
+
+232
+00:19:05,970 --> 00:19:13,130
+ثابت الزنبرك، ثابت مرونة الزنبرك، هذه القيمة ثابتة
+
+233
+00:19:13,130 --> 00:19:17,590
+لكل زنبرك، يعني أول ما غيرت زنبرك، جبت زنبرك أقوى، له K
+
+234
+00:19:17,590 --> 00:19:24,170
+كل زنبرك له K خاصة به، إذا بيسمّوها الـ K الـ
+
+235
+00:19:24,170 --> 00:19:29,590
+force constant اللي خاصة بمين؟ بهذا الزنبرك. الإشارة
+
+236
+00:19:29,590 --> 00:19:33,310
+ كمان مرة بقول، الإشارة السالبة هي أنّها إيش؟ opposite
+
+237
+00:19:33,310 --> 00:19:37,250
+displacement، عكس الإزاحة، وهذا بيسمّى قانون هوك
+
+238
+00:19:37,250 --> 00:19:42,970
+Hooke's Law، بيعطينا
+
+239
+00:19:42,970 --> 00:19:46,110
+أنّ ال force اللي ناشئة من الزنبرك، من ال spring
+
+240
+00:19:46,110 --> 00:19:50,510
+بتساوي سالب K في X، والسالب هذا إيش معناه؟ أنّها
+
+241
+00:19:50,510 --> 00:19:51,350
+عكس الإزاحة
+
+242
+00:19:54,460 --> 00:20:00,600
+طيب نيجي الآن، أخذنا قبل شويّة أنّ ال force، ال work
+
+243
+00:20:00,600 --> 00:20:08,180
+إيش بده يساوي؟ ال work بده يساوي، إذا كانت متغيرة، F
+
+244
+00:20:08,180 --> 00:20:15,760
+في DX من initial لـ final. الآن ال initial لـ final
+
+245
+00:20:15,760 --> 00:20:22,450
+ال force قدّاش قيمتها؟ سالب K في X DX، طلع السالب برا
+
+246
+00:20:22,450 --> 00:20:29,590
+والـ K constant، X تربيع على اثنين، تكامل الـ X X
+
+247
+00:20:29,590 --> 00:20:33,050
+تربيع على اثنين، لذا بقدر أقول ال work أنّها من الـ
+
+248
+00:20:33,050 --> 00:20:38,150
+spring إيش بتساوي؟ نصّ، من وين لوين؟ من initial X
+
+249
+00:20:38,150 --> 00:20:41,390
+initial لـ X final، اللي فوق ناقص اللي تحت، اللي أشر
+
+250
+00:20:41,390 --> 00:20:48,320
+السالب إيش بتعمل؟ بتغيّر، لذا بقدر أقول بتساوي نصّ K X
+
+251
+00:20:48,320 --> 00:20:54,140
+initial تربيع ناقص نصّ K X final تربيع
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/ROi8mLTXtGc.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/ROi8mLTXtGc.srt
new file mode 100644
index 0000000000000000000000000000000000000000..ddee2282caa3d5d0e5c8087f8412125a5d482f9d
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/ROi8mLTXtGc.srt
@@ -0,0 +1,963 @@
+1
+00:00:05,450 --> 00:00:08,810
+بسم الله الرحمن الرحيم السلام عليكم وعليكم العافية
+
+2
+00:00:08,810 --> 00:00:14,630
+يا شباب إن شاء الله تكونوا بصحة جيدة ونتمنى لكم
+
+3
+00:00:14,630 --> 00:00:19,950
+التوفيق في هذا الفصل. اليوم إن شاء الله نكمل في
+
+4
+00:00:19,950 --> 00:00:23,290
+chapter أو نبدأ في chapter سبعة. chapter سبعة هو
+
+5
+00:00:23,290 --> 00:00:27,410
+عملية أو إكمال لـ chapter ستة. ستة هو مقدمة لسبعة.
+
+6
+00:00:27,410 --> 00:00:31,890
+فلذلك يجب أن يكون عندنا انتباه لأن سبعة أنا ممكن
+
+7
+00:00:31,890 --> 00:00:36,090
+أحل عليه أي مسألة من chapter ستة.  الليشن تتكلم عن
+
+8
+00:00:36,090 --> 00:00:40,510
+شبكة سبعة بتتكلم عن حاجتين اللي هو conservation
+
+9
+00:00:40,510 --> 00:00:47,030
+of energy وممكن نقول هذا بتكلم أول جزء فيه.
+
+10
+00:00:47,030 --> 00:00:50,210
+conservative and non conservative force.
+
+11
+00:00:50,210 --> 00:00:54,990
+conservative معناتها محافظة، non conservative غير
+
+12
+00:00:54,990 --> 00:00:59,190
+محافظة. القوة المحافظة أو القوة الغير محافظة، القوة
+
+13
+00:00:59,190 --> 00:01:03,690
+المحافظة على الطاقة، القوة الغير محافظة على الطاقة.
+
+14
+00:01:04,190 --> 00:01:07,170
+نجي نتكلم أول حاجة conservative force. الـ
+
+15
+00:01:07,170 --> 00:01:12,910
+conservative force هي القوة اللي إيش؟ من خلالها لو
+
+16
+00:01:12,910 --> 00:01:19,430
+أبوذل شغل على particle، إيش معنى؟ لو اتحرك من نقطة
+
+17
+00:01:19,430 --> 00:01:25,450
+لأخرى، الشغل هذا يعتمد على مين؟ على النقطتين البداية
+
+18
+00:01:25,450 --> 00:01:30,130
+والنهاية. النقطة البداية والنهاية، يعني لو أنا عندي
+
+19
+00:01:30,130 --> 00:01:35,860
+عندي جسم وأثرت عليه بقوة أي كانت هذه القوة، انتقل
+
+20
+00:01:35,860 --> 00:01:42,320
+من النقطة A وصل للنقطة B، الشغل المفروض يعتمد على
+
+21
+00:01:42,320 --> 00:01:47,580
+مين؟ من هذه القوة على هذا الجسم يعتمد على الـ
+
+22
+00:01:47,580 --> 00:01:51,280
+initial point و الـ final point، يعتمد على نقطتين، و
+
+23
+00:01:51,280 --> 00:01:56,160
+لا يعتمد على مين؟ على المسار. إذا يعتمد على نقطة
+
+24
+00:01:56,160 --> 00:01:59,200
+البداية ونقطة النهاية وما يعتمدش على المسار. ناخد
+
+25
+00:01:59,200 --> 00:02:03,180
+مثال حتى تكون واضحة. إنه لو أنا قلت في handspring.
+
+26
+00:02:06,410 --> 00:02:10,150
+الـ spring يعتبر conservative force. of the spring
+
+27
+00:02:10,150 --> 00:02:15,430
+الـ work done من قوة الـ spring، إيه الـ spring عندي؟
+
+28
+00:02:15,430 --> 00:02:21,450
+هاي زنبرك، وأثرت اتحرك من نقطة X initial
+
+29
+00:02:21,450 --> 00:02:27,370
+equilibrium position مثلاً لـ X final، ولو أنا جبت
+
+30
+00:02:27,370 --> 00:02:33,730
+نفس الزنبرك X initial ورحت فيه لـ X final ورجع
+
+31
+00:02:34,740 --> 00:02:37,900
+لـ X final يعني رحت لمرحلة ثانية X هنا أي أن
+
+32
+00:02:37,900 --> 00:02:41,900
+كانت الـ X ورجعت لـ X final وقلت لك احسب الشغل،
+
+33
+00:02:41,900 --> 00:02:47,460
+الشغل يعتمد على مين؟ X initial و X final يعني يعتمد
+
+34
+00:02:47,460 --> 00:02:51,120
+على الـ initial point و الـ final point. نقطة البداية
+
+35
+00:02:51,120 --> 00:02:53,700
+ونقطة النهاية. عشان هيك الـ work الناشر من الـ
+
+36
+00:02:53,700 --> 00:02:59,340
+spring بيساوي نص ك constant X initial square ناقص X
+
+37
+00:02:59,340 --> 00:03:04,280
+final square. طبعاً أنا بالزمن دائماً نقطة البداية و
+
+38
+00:03:04,280 --> 00:03:08,600
+نقطة النهاية. ما ليش علاقة بالمسار اللي راح،
+
+39
+00:03:08,600 --> 00:03:12,920
+المسار هنا هي المسار لكن هنا هي المسار لازم أنقل
+
+40
+00:03:12,920 --> 00:03:18,770
+X initial و X final. واضح من المعادلة أن الـ work
+
+41
+00:03:18,770 --> 00:03:24,670
+done by spring depends only على mean X initial and
+
+42
+00:03:24,670 --> 00:03:30,750
+X final. ناخد مثل ثاني، another example اللي هو لـ
+
+43
+00:03:30,750 --> 00:03:33,530
+gravity force، جسم
+
+44
+00:03:35,000 --> 00:03:37,800
+الـ gravity force تعتبر conservative force، لكن
+
+45
+00:03:37,800 --> 00:03:41,520
+نشوفها هل هي تعتمد على نقطة البداية والنهاية. ناخد
+
+46
+00:03:41,520 --> 00:03:44,600
+هذا المثال ونطبقه. لذا أول حاجة conservative force
+
+47
+00:03:44,600 --> 00:03:48,420
+تعتمد على نقطة البداية ونقطة النهاية، ما لهاش علاقة
+
+48
+00:03:48,420 --> 00:03:52,260
+بالمسار. في قوة لها علاقة بالمسار، هذه بسمها كمان
+
+49
+00:03:52,260 --> 00:03:58,060
+شوية non conservative force. ناخد مثل، مثل آخر، لو
+
+50
+00:03:58,060 --> 00:04:04,240
+أنا عندي جسم وطلعت لفوق، سحبت لفوق أو نزل مش هتفرق
+
+51
+00:04:04,240 --> 00:04:11,560
+كتير. هذا الجسم طلع عندي من النقطة هذه لنقطة هذه، الـ
+
+52
+00:04:11,560 --> 00:04:17,640
+work منها الإزاحة لوين؟ لأعلى، و الـ Mg لمن؟ لأسفل. الـ
+
+53
+00:04:17,640 --> 00:04:21,460
+work من الـ spring في هذه الحالة بيساوي سالب M ..
+
+54
+00:04:21,460 --> 00:04:24,060
+آسف، الـ work من الـ gravity في هذه الحالة بيساوي
+
+55
+00:04:24,060 --> 00:04:27,600
+سالب Mg، القوة في مين؟ في الـ H. إذا شر السالب هذا
+
+56
+00:04:27,600 --> 00:04:32,160
+صارت معروفة عندنا، زي ما نقدر قيمتها 180، الإزاحة عكس
+
+57
+00:04:32,160 --> 00:04:37,440
+مين؟ القوة المذولة. طب لو أخدت المسار الثاني، المسار
+
+58
+00:04:37,440 --> 00:04:42,770
+الثاني اللي هو، هيوم، المسار هذا الجسم راح من الـ A
+
+59
+00:04:42,770 --> 00:04:48,150
+وصل للـ B. لو راح من الـ A والـ B تعالوا عند النقطة
+
+60
+00:04:48,150 --> 00:04:54,470
+هذه، الجسم Mg لأسفل. لذا الزاوية بينهم جداش؟
+
+61
+00:04:54,470 --> 00:05:00,010
+قيمتها تسعين. الـ work في هذه الحالة جداش؟ بيساوي 0. في
+
+62
+00:05:00,010 --> 00:05:03,850
+هذه المنطقة. طب طلع من هذه النقطة لهذه النقطة، طلع
+
+63
+00:05:03,850 --> 00:05:08,330
+إلى أعلى والوزن لوين؟ لأسفل. ارتفاع. إذا هنا الـ work
+
+64
+00:05:08,330 --> 00:05:13,530
+من الـ gravity من هذه المنطقة سميها 2 بيساوي Mg
+
+65
+00:05:13,530 --> 00:05:18,500
+لأسفل في H. اتفاق نفس الاتفاق، بشارة سالب لأنه عكس
+
+66
+00:05:18,500 --> 00:05:22,440
+بعض. طب لو جيت لهده المنطقة نفس الشيء، الـ Mg اللي زاحل
+
+67
+00:05:22,440 --> 00:05:26,180
+وين؟ زاويه بينهم جداش؟ تسعين. اجمع الـ work في هذا
+
+68
+00:05:26,180 --> 00:05:31,240
+المسار، -MgH. بتلاحظ أن الـ work من
+
+69
+00:05:31,240 --> 00:05:35,460
+المسار الثاني، من المسار الأولاني، هيه بيساوي -Mg
+
+70
+00:05:35,460 --> 00:05:40,720
+H. ومن المسار الثاني بيساوي -MgH. إذا في
+
+71
+00:05:40,720 --> 00:05:45,840
+أي مسار بدي أخده، الـ work ناشئ من الـ gravity، الـ work
+
+72
+00:05:45,840 --> 00:05:50,120
+ناشئ من الـ gravity لأنه مش معتمد في المسار. هذا لـ
+
+73
+00:05:50,120 --> 00:05:53,820
+مجيب شغل يعمل إزاحة. إذا الـ work في المسار الأول و
+
+74
+00:05:53,820 --> 00:05:58,800
+المسار الثاني متساوي. إذا في هذه الحالة يعتمد ما له
+
+75
+00:05:58,800 --> 00:06:02,860
+يعتمد فقط على نقطة البداية ونقطة النهاية. ما ليش
+
+76
+00:06:02,860 --> 00:06:05,480
+علاقة في المسار. عشان هيك الـ conservative force
+
+77
+00:06:05,480 --> 00:06:10,100
+ما لهاش علاقة في مين؟ في المسار، لكن لها علاقة في
+
+78
+00:06:10,100 --> 00:06:14,560
+نقطة البداية ونقطة النهاية. إذا لو أنا قلت لك المسار
+
+79
+00:06:14,560 --> 00:06:18,220
+الأزرق والمسار الأخضر، هتقول الـ work اللي ناشي من
+
+80
+00:06:18,220 --> 00:06:21,720
+المسار الأزرق يساوي المسار الأخضر في حالة الـ
+
+81
+00:06:21,720 --> 00:06:25,560
+gravity force. نيجي نتكلم عن non conservative force
+
+82
+00:06:25,560 --> 00:06:31,320
+مباشرة. non conservative force لا تعتمد، يعتمد على
+
+83
+00:06:31,320 --> 00:06:36,700
+مين؟ عكسها تماماً، عكس الـ .. يعتمد على المسار. طب ناخد
+
+84
+00:06:36,700 --> 00:06:41,550
+مثل. يعتمد على المسار يعني لو هذا المسار اختلف،
+
+85
+00:06:41,550 --> 00:06:45,690
+المسار، بلاقي الشغل المبذول من هذه القوة مختلف.
+
+86
+00:06:45,690 --> 00:06:50,850
+قيمته تختلف. زي إيش؟ مثال عليها الـ friction force. الـ
+
+87
+00:06:50,850 --> 00:06:55,330
+friction force تعتبر مثال. إذا هنا يعتمد على مين؟
+
+88
+00:06:55,330 --> 00:06:57,430
+يعتمد على المسار.
+
+89
+00:06:59,680 --> 00:07:03,860
+on the bar. إذا أمثلة عليها اللي هو مثال عليها
+
+90
+00:07:03,860 --> 00:07:07,700
+friction force. الـ friction force هو مثال، example
+
+91
+00:07:07,700 --> 00:07:12,120
+عامة conservative age force. طيب لو أنا أجيت
+
+92
+00:07:12,120 --> 00:07:16,900
+friction force، هاي عندي جسم هو بدي أزيحه، أزيحته زي
+
+93
+00:07:16,900 --> 00:07:22,520
+هيك، هكون بدلت شغل، لكن لو أزيحته زي هيك ولفيت
+
+94
+00:07:22,520 --> 00:07:26,450
+حول الـ computer في هذه المنطقة، هكون أنا إيش؟ الـ
+
+95
+00:07:26,450 --> 00:07:31,730
+friction force مسار طويل، الطاقة ما لها؟ تفقد خلال
+
+96
+00:07:31,730 --> 00:07:36,390
+هذا المسار من الاحتكاك. إذا في عندي بتحافظ على
+
+97
+00:07:36,390 --> 00:07:39,810
+الطاقة. إذا في هذه الحالة الـ work، ناخد مسار من هنا
+
+98
+00:07:39,810 --> 00:07:45,350
+لهنا. جسم على سطح أفقي، على سطح أفقي هنا وسحبته من
+
+99
+00:07:45,350 --> 00:07:49,330
+النقطة A للنقطة B، إيش هتقول؟ الـ work ناشئ من هنا من
+
+100
+00:07:49,330 --> 00:07:54,280
+المسار الأول بيساوي الـ friction force. أنا سحبته
+
+101
+00:07:54,280 --> 00:07:58,120
+بهذا الاتجاه أفقياً زي هيك. الـ friction force وين؟
+
+102
+00:07:58,120 --> 00:08:07,940
+دائماً عكس الاتجاه، الـ Fk. فالـ Fk عكس الإزاحة، إيش؟
+
+103
+00:08:07,940 --> 00:08:15,480
+هييطلع عندك سالب Fk في H. طب لو سحبته من هنا زي هيك،
+
+104
+00:08:15,480 --> 00:08:18,980
+زي هيك .. سحبته زي هيك .. اتحرك زي هيك، هي الإزاحة.
+
+105
+00:08:18,980 --> 00:08:23,080
+الـ friction force وينها؟ بالاتجاه المعاكس. الـ work
+
+106
+00:08:23,080 --> 00:08:30,200
+منها إيش بيساوي؟ سالب Fd. طب هنا سحبتها لفوق، سالب
+
+107
+00:08:30,200 --> 00:08:36,500
+F، الإزاحة لو في هذا الاتجاه، الـ friction force عكسها،
+
+108
+00:08:36,500 --> 00:08:41,920
+سالب F جداش؟ في الـ H. طب هنا المسار الثاني هو راح زي
+
+109
+00:08:41,920 --> 00:08:45,820
+هيك، الـ friction force عكسها، سالب Fd، إيش بيطلع؟
+
+110
+00:08:45,820 --> 00:08:51,460
+عندنا سالب Fd، سالب Fd، وسالب FH. إذا الـ work
+
+111
+00:08:51,460 --> 00:08:54,820
+في المسار الثاني، والـ work في المسار الأول غير
+
+112
+00:08:54,820 --> 00:08:59,770
+متساويتان. إذا في هذه الحالة مثلاً المسار اختلف، اختلف
+
+113
+00:08:59,770 --> 00:09:03,190
+الـ work، مثلاً اختلف الـ work، إذا هو معتمد على مين؟
+
+114
+00:09:03,190 --> 00:09:06,210
+على الـ work، مع أنه نقطة البداية للأول ونقطة
+
+115
+00:09:06,210 --> 00:09:12,430
+النهاية للجسم A ونقطة النهاية هي B، يعني نقطة
+
+116
+00:09:12,430 --> 00:09:15,950
+البداية في كلا المسارين والنهاية متشابهتان، يعني لكن
+
+117
+00:09:15,950 --> 00:09:19,630
+الـ work في الأول يختلف عن الـ work في الثاني مثلاً،
+
+118
+00:09:19,630 --> 00:09:23,070
+هو ده يعتمد على مين؟ على المسار. طبعاً بنتكلم هذا سطح
+
+119
+00:09:23,070 --> 00:09:27,580
+horizontal، على سطح زي هيك، على طاولة، سحبت الجسم زي
+
+120
+00:09:27,580 --> 00:09:32,340
+هيك وساحبته زي هيك مثلاً. بلاحظ الشغل .. الشغل من
+
+121
+00:09:32,340 --> 00:09:37,270
+المسار الأول يختلف عن الشغل في المسار الثاني. مش
+
+122
+00:09:37,270 --> 00:09:42,110
+هنتكلم اليوم، إذا عرفنا حاجتين يعني المختصر أن أنا
+
+123
+00:09:42,110 --> 00:09:47,090
+بدأت أعرف أن في عندي حاجتين تختص بالـ work. أول حاجة
+
+124
+00:09:47,090 --> 00:09:49,490
+conservative force، إشتقاقها، و non conservative
+
+125
+00:09:49,490 --> 00:09:52,890
+force، إشتقاقها والأمثلة، المثالين اللي أخذناها
+
+126
+00:09:52,890 --> 00:09:55,410
+على conservative force، والمثال اللي أخذناها عن
+
+127
+00:09:55,410 --> 00:09:58,990
+non conservative force على friction، non
+
+128
+00:09:58,990 --> 00:10:01,730
+conservative force، و spring force، و gravity force،
+
+129
+00:10:01,730 --> 00:10:06,920
+اللي هو conservative force. الآن سنتكلم عن موضوع جديد
+
+130
+00:10:06,920 --> 00:10:11,260
+اللي هو الـ potential energy، وعلاقته بأي conservative
+
+131
+00:10:11,260 --> 00:10:17,160
+force. أي conservative force لها مرتبطة potential
+
+132
+00:10:17,160 --> 00:10:21,720
+energy. potential energy، الـ work من الـ conservative
+
+133
+00:10:21,720 --> 00:10:25,800
+force بيساوي سالب دلتا U. إذا أي conservative
+
+134
+00:10:25,800 --> 00:10:33,940
+force لها دلتا U زي أما يكون في زنبرك، بغطي أنا
+
+135
+00:10:35,120 --> 00:10:40,420
+الـ work في الزنبرك، خزّم طاقة وضعية، طاقة وضعية، وضعية
+
+136
+00:10:40,420 --> 00:10:40,500
+وضعية، وضعية، وضعية، وضعية، وضعية، وضعية، وضعية، وضعية، وضعية
+
+137
+00:10:40,500 --> 00:10:44,940
+وضعية، وضعية، وضعية، وضعية، وضعية، وضعية، وضعية، وضعية، وضعية
+
+138
+00:10:44,940 --> 00:10:54,440
+وضعية، وضعية، وضعية، وضعية، وضعية، وضعية، وضعية، وضعية، وضعية
+
+139
+00:10:54,440 --> 00:11:01,750
+وضعية، وضعية، وضعية، وضعية، وضعية، وضعية، وضعية. إذا الـ
+
+140
+00:11:01,750 --> 00:11:05,190
+potential energy، الـ U بنسميها potential energy، و
+
+141
+00:11:05,190 --> 00:11:08,890
+potential energy معناتها طاقة وضع. إذا أي
+
+142
+00:11:08,890 --> 00:11:14,370
+conservative force، يساوي سالب delta U. طيب ناخد مثال
+
+143
+00:11:14,370 --> 00:11:18,110
+للـ potential energy اللي هو للـ conservative force.
+
+144
+00:11:18,110 --> 00:11:21,150
+طبعاً فينا مثالين، المثال الأول spring، والمثال
+
+145
+00:11:21,150 --> 00:11:25,590
+الثاني الـ gravity. الـ potential energy المرتبطة بها.
+
+146
+00:11:26,680 --> 00:11:30,420
+إذا لو عندي force of gravity is conservative، احنا
+
+147
+00:11:30,420 --> 00:11:34,460
+عارفين أنها قوة ما لها؟ محافظة. مثلاً قوة محافظة لازم
+
+148
+00:11:34,460 --> 00:11:38,160
+يكون مرتبطة إليها potential energy، إليها potential
+
+149
+00:11:38,160 --> 00:11:42,740
+energy، هو بيسميه Ug. الآن لو أنا عندي جسم رميته إلى
+
+150
+00:11:42,740 --> 00:11:48,830
+أعلى، طلع إلى أعلى، في قوة اللي هو Mg لوين؟ لأسفل. الـ
+
+151
+00:11:48,830 --> 00:11:53,290
+work من هذه القوة H بتكون بالموجبة ولا بالسالب؟
+
+152
+00:11:53,290 --> 00:11:58,490
+الجسم وين راح؟ إزاحته لوين؟ لأعلى. هو القوة لوين؟ لأسفل.
+
+153
+00:11:58,490 --> 00:12:04,930
+الزاوية اللي بينهم 180، عكس الإزاحة. إذا سالب Mg في
+
+154
+00:12:04,930 --> 00:12:11,090
+H في H. هذا الـ work من مين؟ من الـ conservative force.
+
+155
+00:12:11,090 --> 00:12:16,740
+لكن نيجي نحسب الـ Delta U، الـ delta u أي دلتا دائماً
+
+156
+00:12:16,740 --> 00:12:21,820
+إيش بتساوي؟ الـ final ناقص الـ initial. U final ناقص
+
+157
+00:12:21,820 --> 00:12:27,020
+الـ initial. U final اللي هي طاقة الوضع. U final سوين
+
+158
+00:12:27,020 --> 00:12:33,320
+في بعض. إذا هنا الـ Wc بتساوي الـ conservative W، الـ
+
+159
+00:12:33,320 --> 00:12:38,300
+conservative force ساوي سالب Mg في H، وهد بتساوي
+
+160
+00:12:38,300 --> 00:12:41,720
+سالب Delta U. بتحط سالب هنا وبتحط إشارة سالب على
+
+161
+00:12:41,720 --> 00:12:48,990
+هذا الـ .. إذا سالب U final ناقص U initial. السالب مع
+
+162
+00:12:48,990 --> 00:12:57,590
+السالب بتروح. إذا في هذه الحالة Delta U، U final ناقص
+
+163
+00:12:57,590 --> 00:13:06,050
+U initial بتساوي MgH. إذا Delta U بتساوي MgH. قارن
+
+164
+00:13:06,050 --> 00:13:12,850
+بينهم، الإختلاف بإشارة ما لها؟ بينهم إشارة سالبة. يقول
+
+165
+00:13:12,850 --> 00:13:19,010
+الـ gravity لو أنا أخدت level طاقته
+
+166
+00:13:19,010 --> 00:13:24,050
+الوضع بالنسبة للطاولة، بالنسبة للطاولة صفر. لو رفعته
+
+167
+00:13:24,050 --> 00:13:29,330
+طاقته الوضع صارت Mg في مين؟ في H. صار إليه ارتفاع.
+
+168
+00:13:29,330 --> 00:13:34,510
+لذا لو اعتبرت المستوى الأول U initial بتساوي Zero،
+
+169
+00:13:34,510 --> 00:13:43,250
+يقول الـ gravity، U final إيش بتساوي؟ Mg في H. هذا
+
+170
+00:13:43,250 --> 00:13:50,490
+بيكون بيساوي Zero. لذا الـ U إيش بتسا
+
+223
+00:18:09,740 --> 00:18:14,260
+مج الـ M في الـ G في واحد ونص بيطلع قيمتها بالجول
+
+224
+00:18:15,150 --> 00:18:19,610
+المطلوب عندما يكون الـ ceiling هذا المستوى الصفر
+
+225
+00:18:19,610 --> 00:18:23,130
+الحالي التي هذا المستوى الصفر المستوى الصفر ال
+
+226
+00:18:23,130 --> 00:18:27,410
+level اللي أنا أخذه بسوّيه، يعني أخذت المستوى فوق
+
+227
+00:18:27,410 --> 00:18:31,630
+إيش بيطلع عندك الكتاب تحت المستوى الصفر إذا أنا
+
+228
+00:18:31,630 --> 00:18:36,670
+هيَطلع إيش؟ سالب mg في H، وهطلع أعوّض سالب mg في الـ H
+
+229
+00:18:36,670 --> 00:18:41,980
+الـ H قديش؟ خميتها من هنا لهنا، هذا كلّه 82.10 متر
+
+230
+00:18:41,980 --> 00:18:48,740
+الطاولة إرتفاعها 1.5 متر، إذا هو
+
+231
+00:18:48,740 --> 00:18:54,140
+تحت المستوى الصفري لكي يخرج قيمته بالسالب، إذا الـ
+
+232
+00:18:54,140 --> 00:18:58,840
+block .. الـ block .. آسف، الكتاب كان على الطاولة
+
+233
+00:18:58,840 --> 00:19:03,490
+قلت أنا بدي أحسب الـ potential energy له بالنسبة
+
+234
+00:19:03,490 --> 00:19:07,150
+للطاولة، بالنسبة للأرض، هاي الكتاب بالنسبة للطاولة
+
+235
+00:19:07,150 --> 00:19:11,510
+صفر، لكن بالنسبة للأرض لأ، في بالنسبة للأرض موجب، لكن
+
+236
+00:19:11,510 --> 00:19:15,830
+بالنسبة للـ ceiling، بدي أشيله وأخزنه، طبعًا إذا في
+
+237
+00:19:15,830 --> 00:19:20,770
+هذه الحالة، في هذه سالب لما يكون فوق مستوى الصفر
+
+238
+00:19:20,770 --> 00:19:24,610
+لما يكون مستوى الصفر الأرض موجب، لما يكون مستوى
+
+239
+00:19:24,610 --> 00:19:28,930
+الصفر الطاولة يكون له قيمة بالساوية صفر، أو قيمته
+
+240
+00:19:28,930 --> 00:19:33,400
+بالساوية صفر، لأن المطلوب الثاني وين ده؟ الـ block الـ
+
+241
+00:19:33,400 --> 00:19:37,260
+drops؟ لما الـ block إيش ماله؟ يقع على الأرض يعني
+
+242
+00:19:37,260 --> 00:19:43,460
+الحالة الثانية الـ block وقع يعني
+
+243
+00:19:43,460 --> 00:19:47,340
+صار في delta u، يعني كان هنا initial وهنا صار final
+
+244
+00:19:47,340 --> 00:19:57,040
+أو هنا a وهنا صار b، جيبيلي إيش التغير؟ calculate of
+
+245
+00:19:57,040 --> 00:19:58,160
+zero potential energy
+
+246
+00:20:02,990 --> 00:20:11,450
+بس الكلام سهل جدًا، الـ potential energy بيساوي 0 u
+
+247
+00:20:11,450 --> 00:20:17,010
+initial و u final سالب m gfh، بدي أحسب الـ delta u
+
+248
+00:20:17,010 --> 00:20:29,310
+هنا أصلًا calculate delta u، الـ delta u
+
+249
+00:20:30,410 --> 00:20:42,190
+هل هتتغير قيمتها ولا لأ في الثلاث حالات لما
+
+250
+00:20:42,190 --> 00:20:47,390
+نزل الكتاب، دلتا U إيش بتساوي؟ دائمًا دلتا U بتساوي
+
+251
+00:20:47,390 --> 00:20:53,210
+الـ U final ناقص الـ U initial، بدي آخذ مستوى صفر
+
+252
+00:20:53,210 --> 00:20:57,970
+نفترض أول مستوى صفر هنا، مستوى تبع الـ block هذا
+
+253
+00:20:57,970 --> 00:21:01,710
+المستوى الصفري، يعني جسم عليه potential energy
+
+254
+00:21:01,710 --> 00:21:05,470
+بالساوية زيرو، إيش هيكون؟ اندي Delta U إيش
+
+255
+00:21:05,470 --> 00:21:11,610
+بالساوية، Delta U نكتبها هنا: U final ناقص U initial
+
+256
+00:21:11,610 --> 00:21:17,450
+initial هي الجسم، هي final هذا المستوى الصفر، إذا الـ
+
+257
+00:21:17,450 --> 00:21:24,010
+initial إيش مالها؟ الـ zero، طيب الـ final، الـ final
+
+258
+00:21:24,010 --> 00:21:28,400
+اللي أنا كتبت، صار هنا، وهي المستوى الصفر تحت المستوى
+
+259
+00:21:28,400 --> 00:21:34,180
+الصفر، إيش بيصير عندي؟ سالب MG في جدّيج في واحد ونص
+
+260
+00:21:34,180 --> 00:21:39,700
+في الارتفاع، إذا سالب MG في واحد ونص، سالب MG في
+
+261
+00:21:39,700 --> 00:21:43,320
+واحد ونص، لأنه نزل عن طاولة مقدار واحد ونص، بيطلع
+
+262
+00:21:43,320 --> 00:21:50,020
+هذه القيمة بالسالب، الآن المستوى، الخطوة
+
+263
+00:21:50,020 --> 00:21:54,160
+الثانية، المستوى الصفر هي الأرض، يعني هذا جسمنا، و
+
+264
+00:21:54,160 --> 00:22:01,160
+حطيت مستوى صفر جديد، هذا U بيساوي Zero لأن بنفس
+
+265
+00:22:01,160 --> 00:22:04,220
+الكيفية في المنطقة الثانية في المرحلة الثانية
+
+266
+00:22:04,220 --> 00:22:11,500
+Delta U ساوي U final ناقص U initial، U final هي الـ
+
+267
+00:22:11,500 --> 00:22:14,780
+final، والـ initial، وقع من نقطة البداية وصلت لنقطة
+
+268
+00:22:14,780 --> 00:22:17,000
+النهاية، هي الـ final مستوى الصفر، إذا الـ final
+
+269
+00:22:17,000 --> 00:22:20,480
+إيش مالها؟ Zero، لأن الإرتفاع صار عن المستوى الصفر
+
+270
+00:22:20,480 --> 00:22:28,360
+اللي أنا أخذته، ناقص U initial، الكتاب هايم بالنسبة
+
+271
+00:22:28,360 --> 00:22:31,900
+للمستوى الصفر له إرتفاع قديش؟ قيمته واحد ونص متر
+
+272
+00:22:31,900 --> 00:22:39,300
+إذا سالب MG في الواحد ونص متر، إيش بتلاحظ؟ Delta U
+
+273
+00:22:39,300 --> 00:22:44,320
+Delta U في الحالة الأولى، Delta U في الحالة الثانية
+
+274
+00:22:44,320 --> 00:22:47,140
+الأولى سالب MG في الواحد ونص، الحالة الثانية سالب
+
+275
+00:22:47,140 --> 00:22:53,360
+MG في الواحد ونص، نفس القيمة، طيب لو أخذت السقف هو الـ
+
+276
+00:22:53,360 --> 00:22:58,800
+potential هو الـ level بيساوي 0، يعني السقف هو الـ
+
+277
+00:22:58,800 --> 00:23:03,600
+level الصفر، إيش متوقعين يطلع قيمة الـ Delta U؟ هيطلع إيش؟
+
+278
+00:23:03,600 --> 00:23:08,400
+هيَطلع نفس .. نفس القيمة، هيَطلع نفس القيمة، تعالوا
+
+279
+00:23:08,400 --> 00:23:15,060
+نشوف .. نطبق، مستوى الصفر هنا، delta u نكتبها هنا
+
+280
+00:23:16,070 --> 00:23:21,810
+بتساوي U final ناقص U initial، U final الكتاب، هي U
+
+281
+00:23:21,810 --> 00:23:27,190
+final، مش هنا، كان الكتاب، وهي initial بالنسبة
+
+282
+00:23:27,190 --> 00:23:31,630
+للمستوى الصفر، تحت المستوى الصفر بقديش؟ عند المسافة
+
+283
+00:23:31,630 --> 00:23:39,710
+82 من عشرة متر، لذا بقدر أقول سالب MG في 82 من عشرة
+
+284
+00:23:39,710 --> 00:23:46,600
+متر، ناقص الـ initial، برضه تحت المستوى الصفري، لذا
+
+285
+00:23:46,600 --> 00:23:53,800
+كمان ناقص mg في الـ H، في واحد وثلاثة من عشرة متر
+
+286
+00:23:53,800 --> 00:24:00,640
+ناقص وناقص بيصير زائد mg في واحد وثلاثة من عشرة
+
+287
+00:24:00,640 --> 00:24:06,420
+متر، سالب mg في إثنين وثمانية من عشرة متر، إيش
+
+288
+00:24:06,420 --> 00:24:14,050
+بيطلع عندي؟ سالب mg في واحد ونص، هي نفس القيمة، إذا
+
+289
+00:24:14,050 --> 00:24:16,470
+بتلاحظ أن الـ potential energy، المستوى الصفر الـ
+
+290
+00:24:16,470 --> 00:24:20,650
+delta U، لما تاخدها، خذ المستوى الصفر اللي بدك إياه في
+
+291
+00:24:20,650 --> 00:24:24,150
+الآخر، النتيجة اللي بتطلع معي نفس النتيجة، و
+
+292
+00:24:24,150 --> 00:24:28,930
+يعطيكم العافية، والمحاضرة الجاية بنحاول نكمل اللي
+
+293
+00:24:28,930 --> 00:24:31,610
+هو على الموضوع نفسه، يعطيكم العافية
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/ROi8mLTXtGc_raw.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/ROi8mLTXtGc_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..cb42ceb276ee9652457fec6997be3a09cee123b4
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/ROi8mLTXtGc_raw.srt
@@ -0,0 +1,1176 @@
+1
+00:00:05,450 --> 00:00:08,810
+بسم الله الرحمن الرحيم السلام عليكم وعطيكم العافية
+
+2
+00:00:08,810 --> 00:00:14,630
+يا شباب ان شاء الله تكونوا بصحة جيدة و نتمنى لكم
+
+3
+00:00:14,630 --> 00:00:19,950
+التوفيق في هذا الفصل اليوم ان شاء الله نكمل في
+
+4
+00:00:19,950 --> 00:00:23,290
+chapter او نبدأ في chapter سبعة chapter سبعة هو
+
+5
+00:00:23,290 --> 00:00:27,410
+عملية او اكمال ل chapter ستة ستة هو مقدمة لسبعة
+
+6
+00:00:27,410 --> 00:00:31,890
+فلذلك يجب أن يكون عندنا انتباه لأن سبعة انا ممكن
+
+7
+00:00:31,890 --> 00:00:36,090
+احل عليه اي مسألة من chapter ستةالنيشن تتكلم عن
+
+8
+00:00:36,090 --> 00:00:40,510
+شبكة السبعة بتتكلم عن حاجتين اللي هو conservation
+
+9
+00:00:40,510 --> 00:00:47,030
+of energy وممكن نقول هذا بتكلم أول جزء فيه
+
+10
+00:00:47,030 --> 00:00:50,210
+conservative and non conservative force
+
+11
+00:00:50,210 --> 00:00:54,990
+conservative معناتها محافظة non conservative غير
+
+12
+00:00:54,990 --> 00:00:59,190
+محافظة القوة المحافظة أو القوة الغير محافظة القوة
+
+13
+00:00:59,190 --> 00:01:03,690
+المحافظة على الطاقة القوة الغير محافظة على الطاقة
+
+14
+00:01:04,190 --> 00:01:07,170
+نجي نتكلم أول حاجة conservative force ال
+
+15
+00:01:07,170 --> 00:01:12,910
+conservative force هي القوة اللي إيش من خلالها لو
+
+16
+00:01:12,910 --> 00:01:19,430
+أبوذل شغل على particle إيش معنى لو اتحرك من نقطة
+
+17
+00:01:19,430 --> 00:01:25,450
+لأخرى الشغل هذا يعتمد على مين على النقطتين البداية
+
+18
+00:01:25,450 --> 00:01:30,130
+والنهاية النقطة البداية والنهاية يعني لو أنا في
+
+19
+00:01:30,130 --> 00:01:35,860
+عندى جسم وأثرت عليه بقوةأي أن كانت هذه القوة انتقل
+
+20
+00:01:35,860 --> 00:01:42,320
+من النقطة A وصل للنقطة B الشغل المفروض يعتمد على
+
+21
+00:01:42,320 --> 00:01:47,580
+مين من هذه القوة على هذا الجسم يعتمد على ال
+
+22
+00:01:47,580 --> 00:01:51,280
+initial point و ال final point يعتمد على نقطتين و
+
+23
+00:01:51,280 --> 00:01:56,160
+لا يعتمد على مين على المسار إذا يعتمد على نقطة
+
+24
+00:01:56,160 --> 00:01:59,200
+البداية و نقطة النهاية و مايعتمدش على المسار ناخد
+
+25
+00:01:59,200 --> 00:02:03,180
+مثال حتى تكون واضح إنه لو أنا قلت في handspring
+
+26
+00:02:06,410 --> 00:02:10,150
+الـ spring يعتبر conservative force of the spring
+
+27
+00:02:10,150 --> 00:02:15,430
+ال work done من قوة ال spring أيه ال spring عندي؟
+
+28
+00:02:15,430 --> 00:02:21,450
+هاي زنبرك و أثرت اتحرك من نقطة X initial
+
+29
+00:02:21,450 --> 00:02:27,370
+equilibrium position مثلا ل X final و لو أنا جبت
+
+30
+00:02:27,370 --> 00:02:33,730
+نفس الزنبرك X initial و رحت فيه ل X final و رجع
+
+31
+00:02:34,740 --> 00:02:37,900
+لأكس final يعني رحت لمرحلة تانية اكس هنا أي ان
+
+32
+00:02:37,900 --> 00:02:41,900
+كانت ال X و رجعت ل X final و قلت لك احسب الشغل
+
+33
+00:02:41,900 --> 00:02:47,460
+الشغل يعتمد على مين X initial و X final يعني يعتمد
+
+34
+00:02:47,460 --> 00:02:51,120
+على ال initial point و ال final point نقطة البداية
+
+35
+00:02:51,120 --> 00:02:53,700
+و نقطة النهاية عشان هيك ال work الناشر من ال
+
+36
+00:02:53,700 --> 00:02:59,340
+spring بيسوي نص ك constantX initial square ناقص X
+
+37
+00:02:59,340 --> 00:03:04,280
+final square طبعا أنا بالزمن دائما نقطة البداية و
+
+38
+00:03:04,280 --> 00:03:08,600
+نقطة آخرى النهاية ماليش علاقة بالمسار اللي راحه
+
+39
+00:03:08,600 --> 00:03:12,920
+المسار هنا هي المسار لكن هنا هي المسار لازم اتنقل
+
+40
+00:03:12,920 --> 00:03:18,770
+X initial و X finalواضح من المعادلة ان ال work
+
+41
+00:03:18,770 --> 00:03:24,670
+done by spring depends only على mean x initial and
+
+42
+00:03:24,670 --> 00:03:30,750
+x final ناخد مثل تاني another example اللي هو ل
+
+43
+00:03:30,750 --> 00:03:33,530
+gravity force جسم
+
+44
+00:03:35,000 --> 00:03:37,800
+الـ gravity force تعتبر conservative force لكن
+
+45
+00:03:37,800 --> 00:03:41,520
+نشوفها هل هي تعتمد على نقطة البداية والنهاية ناخد
+
+46
+00:03:41,520 --> 00:03:44,600
+هذا المثال ونطبقه لذا أول حاجة conservative force
+
+47
+00:03:44,600 --> 00:03:48,420
+تعتمد على نقطة البداية ونقطة النهاية مالهاش علاقة
+
+48
+00:03:48,420 --> 00:03:52,260
+بالمسار في قوة إلها علاقة بالمسار هذه بسمها كمان
+
+49
+00:03:52,260 --> 00:03:58,060
+شوية non conservative force ناخد مثل مثل آخر لو
+
+50
+00:03:58,060 --> 00:04:04,240
+أنا عندي جسمو طلعت لفوق سحبت لفوق او نزل مش هتفرق
+
+51
+00:04:04,240 --> 00:04:11,560
+كتير هذه الجسم طلع عندى من النقطة هذه لنقطة هذه ال
+
+52
+00:04:11,560 --> 00:04:17,640
+work منهاالإزاحة لوين؟ لأعلى و ال Mg لمن؟ لأسفل ال
+
+53
+00:04:17,640 --> 00:04:21,460
+work من ال spring في هذه الحالة بيساوي سالب M ..
+
+54
+00:04:21,460 --> 00:04:24,060
+أسف ال work من ال gravity في هذه الحالة بيساوي
+
+55
+00:04:24,060 --> 00:04:27,600
+سالب Mg القوة في مين؟ في ال H إذا شر السالب هذا
+
+56
+00:04:27,600 --> 00:04:32,160
+صارت معروف عندنا زي يقدش قيمتها 180 الإزاحة عكس
+
+57
+00:04:32,160 --> 00:04:37,440
+مين؟ القوة المذولة طب لو أخدت المسار التاني المسار
+
+58
+00:04:37,440 --> 00:04:42,770
+التاني اللي هو هيومالمسار هذا الجسم راح من ال a
+
+59
+00:04:42,770 --> 00:04:48,150
+وصل لل b لو راح من ال a و ال b تعالوا عند النقطة
+
+60
+00:04:48,150 --> 00:04:54,470
+هذه الجسم MG لأسفل لذا حلوين الزاوية بينهم جداش
+
+61
+00:04:54,470 --> 00:05:00,010
+قمتها تسعين ال work في هذه الحالة جداش بيساوي0 في
+
+62
+00:05:00,010 --> 00:05:03,850
+هذه المنطقة طب طلع من هذه النقطة لهذه النقطة طلع
+
+63
+00:05:03,850 --> 00:05:08,330
+إلى أعلى و الوزن لوين لأسفل ارتفاع اذا هنا ال work
+
+64
+00:05:08,330 --> 00:05:13,530
+من ال gravity من هذه المنطقة سميها 2 بساوة mg
+
+65
+00:05:13,530 --> 00:05:18,500
+لأسفل في hأتفاق نفس الاتفاق بشارة سالب لأنه عكس
+
+66
+00:05:18,500 --> 00:05:22,440
+بعض طب لو جيت لهد المنطقة نفس الاشي ال MG اللي زحل
+
+67
+00:05:22,440 --> 00:05:26,180
+وين زويل بينهم جداش تسعين اجمع ال work في هذا
+
+68
+00:05:26,180 --> 00:05:31,240
+المسار 00 هذا سالب MG فاتش اش بتلاحظ ان ال work من
+
+69
+00:05:31,240 --> 00:05:35,460
+المسار التاني من المسار الأولاني هيه بساوي سالب MG
+
+70
+00:05:35,460 --> 00:05:40,720
+فاتش ومن المسار التاني بساوي سالب MG فاتش اذا في
+
+71
+00:05:40,720 --> 00:05:45,840
+أي مسار بدي اخدهال work ناشئ من ال gravity ال work
+
+72
+00:05:45,840 --> 00:05:50,120
+ناشئ من ال gravity لأنه مش معتمد في المسار هذا لأ
+
+73
+00:05:50,120 --> 00:05:53,820
+مجيب شغل يعمل إزاحة إذا ال work في المسار الأول و
+
+74
+00:05:53,820 --> 00:05:58,800
+المسار التاني متساوي إذا في هذه الحالة يعتمد ماله
+
+75
+00:05:58,800 --> 00:06:02,860
+يعتمد فقط على نقطة البداية و نقطة النهاية ماليش
+
+76
+00:06:02,860 --> 00:06:05,480
+علاقة في المسار عشان هيك ال conservative force
+
+77
+00:06:05,480 --> 00:06:10,100
+مالهاش علاقة في مين في المسار لكن إلها علاقة في
+
+78
+00:06:10,100 --> 00:06:14,560
+نقطة البداية و نقطة النهايةأذا لو أنا قلتلك المسار
+
+79
+00:06:14,560 --> 00:06:18,220
+الأزرق و المسار الأخضر هتقول ال work اللي ناشي من
+
+80
+00:06:18,220 --> 00:06:21,720
+المسار الأزرق يساوي المسار الأخضر في حالة ال
+
+81
+00:06:21,720 --> 00:06:25,560
+gravity force نيجي نتكلم عن non conservative force
+
+82
+00:06:25,560 --> 00:06:31,320
+مباشرة non conservative force لا تعتمد يعتمد على
+
+83
+00:06:31,320 --> 00:06:36,700
+مين عكسها تماما عكس ال .. يعتمد على المسار طب ناخد
+
+84
+00:06:36,700 --> 00:06:41,550
+مثل يعتمد على المسار يعني لو هذا المساراختلف
+
+85
+00:06:41,550 --> 00:06:45,690
+المسار بلاقي الشغل المبذول من هذه القوة مختلف
+
+86
+00:06:45,690 --> 00:06:50,850
+قيمته تختلف زي ايش مثال عليها ال friction force ال
+
+87
+00:06:50,850 --> 00:06:55,330
+friction force تعتبر مثال اذا هنا يعتمد على مين
+
+88
+00:06:55,330 --> 00:06:57,430
+يعتمد على المسار
+
+89
+00:06:59,680 --> 00:07:03,860
+on the bar اذا امثلة عليها اللي هو مثال عليها
+
+90
+00:07:03,860 --> 00:07:07,700
+friction force ال friction force هو مثال example
+
+91
+00:07:07,700 --> 00:07:12,120
+عامة conservative age force طيب لو انا اجيت
+
+92
+00:07:12,120 --> 00:07:16,900
+friction force هاي عندى جسم هو بدى ازيحه ازيحته زي
+
+93
+00:07:16,900 --> 00:07:22,520
+هيكة هكون بدلة شغل لكن لو ازيحته زي هيكة ولفيت
+
+94
+00:07:22,520 --> 00:07:26,450
+حوالين ال computerفى هذه المنطقة هكون انا ايش ال
+
+95
+00:07:26,450 --> 00:07:31,730
+friction force مسار طويل الطاقة مالها تفقد خلال
+
+96
+00:07:31,730 --> 00:07:36,390
+هذا المسار من الاحتكاك اذا فى عندى بتحافظ على
+
+97
+00:07:36,390 --> 00:07:39,810
+الطاقة اذا فى هذه الحالة ال work ناخد مسار من هنا
+
+98
+00:07:39,810 --> 00:07:45,350
+لهنا جسم على سطح أفقي على سطح أفقي هنا وسحبته من
+
+99
+00:07:45,350 --> 00:07:49,330
+النقطة A لنقطة B ايش هتقول ال work ناشق من هنا من
+
+100
+00:07:49,330 --> 00:07:54,280
+المسار الأول بساويالـ friction force أنا سحبته
+
+101
+00:07:54,280 --> 00:07:58,120
+بهذا الاتجاه أفقيا زي هيك ال friction force وين
+
+102
+00:07:58,120 --> 00:08:07,940
+دايما عكس الاتجاه ال FK فال FK عكس الإزاحة إيش
+
+103
+00:08:07,940 --> 00:08:15,480
+هيطلع عندك سالب FK في Hطب لو سحبته من هنا زي هيك
+
+104
+00:08:15,480 --> 00:08:18,980
+زي هيك .. سحبته زي هيك .. اتحرك زي هيك هي الازاحة
+
+105
+00:08:18,980 --> 00:08:23,080
+ال friction force وينها؟ بالاتجاه المعاكس ال work
+
+106
+00:08:23,080 --> 00:08:30,200
+منها ايش بيساوي؟ سالب F دي طب هنا سحبتها لفوق سالب
+
+107
+00:08:30,200 --> 00:08:36,500
+Fالإزاحة لو في هذه الاتجاه ال friction force عكسها
+
+108
+00:08:36,500 --> 00:08:41,920
+سالب F جديش في ال H طب هنا المسار التاني هو راح زي
+
+109
+00:08:41,920 --> 00:08:45,820
+هيك ال friction force عكسها سالب F دي ايش بيطلع
+
+110
+00:08:45,820 --> 00:08:51,460
+عندنا سالب F دي سالب F دي و سالب F H إذا ال work
+
+111
+00:08:51,460 --> 00:08:54,820
+في المسار التاني و ال work في المسار الأول غير
+
+112
+00:08:54,820 --> 00:08:59,770
+متساويةإذا في هذه الحالة مثلا المسار اختلف اختلف
+
+113
+00:08:59,770 --> 00:09:03,190
+ال work مثلا اختلف ال work إذا هو معتمد على مين
+
+114
+00:09:03,190 --> 00:09:06,210
+على ال work مع أنه نقطة البداية للأول ونقطة
+
+115
+00:09:06,210 --> 00:09:12,430
+النهاية للجسم a ونقطة النهاية هي b يعني نقطة
+
+116
+00:09:12,430 --> 00:09:15,950
+البداية في كلا المسارين و النهاية متشابهت يعني لكن
+
+117
+00:09:15,950 --> 00:09:19,630
+ال work في الأول يختلف عن ال work في التاني مثلا
+
+118
+00:09:19,630 --> 00:09:23,070
+هو ده يعتمد على مين على المسار طبعا بنتكلم هذا سطح
+
+119
+00:09:23,070 --> 00:09:27,580
+horizontalعلى سطح زي هيك على طاولة ساحبت الجسم زي
+
+120
+00:09:27,580 --> 00:09:32,340
+هيك وساحبته زي هيك مثلا بلاج الشغل .. الشغل من
+
+121
+00:09:32,340 --> 00:09:37,270
+المسار الأول يختلف عن الشغل في المسار التانيمش
+
+122
+00:09:37,270 --> 00:09:42,110
+هنتكلم اليوم اذا اعرفنا حاجتين يعني المختصر ان انا
+
+123
+00:09:42,110 --> 00:09:47,090
+بدأ اعرف ان في عندي حاجتين تختص بال work اول حاجة
+
+124
+00:09:47,090 --> 00:09:49,490
+conservative force اشتعاريفها و non conservative
+
+125
+00:09:49,490 --> 00:09:52,890
+force اشتعاريفها و الأمثلة المثالين اللي أخدناها
+
+126
+00:09:52,890 --> 00:09:55,410
+على conservative force و المثال اللي أخدناها عن
+
+127
+00:09:55,410 --> 00:09:58,990
+non conservative force على friction non
+
+128
+00:09:58,990 --> 00:10:01,730
+conservative force و spring force و gravity force
+
+129
+00:10:01,730 --> 00:10:06,920
+اللي هو conservative forceانش تتكلم عن وضوع جديد
+
+130
+00:10:06,920 --> 00:10:11,260
+لهو ال potential energy انش علاقته اي conservative
+
+131
+00:10:11,260 --> 00:10:17,160
+force اي conservative force لها مرتبطة potential
+
+132
+00:10:17,160 --> 00:10:21,720
+energy potential energy ال work من ال conservative
+
+133
+00:10:21,720 --> 00:10:25,800
+force بيساوي سالب دلتا يوم اذا اي conservative
+
+134
+00:10:25,800 --> 00:10:33,940
+force لها دلتا يوم زي اما يكون في زمبراك بغطي انا
+
+135
+00:10:35,120 --> 00:10:40,420
+الwar في الزنبارات خزّم طاقة وطيئة طاقة وطيئة طيئة
+
+136
+00:10:40,420 --> 00:10:40,500
+طيئة طيئة طيئة طيئة طيئة طيئة طيئة طيئة طيئة طيئة
+
+137
+00:10:40,500 --> 00:10:44,940
+طيئة طيئة طيئة طيئة طيئة طيئة طيئة طيئة طيئة طيئة
+
+138
+00:10:44,940 --> 00:10:54,440
+طيئة طيئة طيئة طيئة طيئة طيئة طيئة طيئة طيئة طيئة
+
+139
+00:10:54,440 --> 00:10:54,440
+طيئة طيئة طيئة طيئة طيئة طيئة طيئة طيئة طيئة طيئة
+
+140
+00:10:54,440 --> 00:11:01,750
+طيئة طيئة طيئة طيئة طيئة طيئة طيئة طيئإذا ال
+
+141
+00:11:01,750 --> 00:11:05,190
+potential energy ال U بنسميها potential energy و
+
+142
+00:11:05,190 --> 00:11:08,890
+potential energy معناتها طاقة وضعة إذا أي
+
+143
+00:11:08,890 --> 00:11:14,370
+conservative force سوى سالب delta U طيب ناخد مثال
+
+144
+00:11:14,370 --> 00:11:18,110
+لل potential energy اللي هو لل conservative force
+
+145
+00:11:18,110 --> 00:11:21,150
+طبعا فينا مثالين، المثال الأول spring والمثال
+
+146
+00:11:21,150 --> 00:11:25,590
+الثاني ال gravity ال potential energy المرتبط فيها
+
+147
+00:11:26,680 --> 00:11:30,420
+إذا لو عندى force of gravity is conservative احنا
+
+148
+00:11:30,420 --> 00:11:34,460
+عارفين أنها قوة مالها محافظة مثلا قوة محافظة لازم
+
+149
+00:11:34,460 --> 00:11:38,160
+يكون مرتبط إليها potential energy إليها potential
+
+150
+00:11:38,160 --> 00:11:42,740
+energy هو بيسميه UG الآن لو أنا عندى جسم رميته إلى
+
+151
+00:11:42,740 --> 00:11:48,830
+أعلى طلع إلى أعلىفى قوة اللى هو MG لوين لأسفل ال
+
+152
+00:11:48,830 --> 00:11:53,290
+work من هذه القوة H بتكون بالموجة ولا بالسالب
+
+153
+00:11:53,290 --> 00:11:58,490
+الجسم وين راح إزحته لوين لأعلى هو القوة لوين لأسفل
+
+154
+00:11:58,490 --> 00:12:04,930
+الزاوية اللى بينهم 180 عكس الإزاحة إذا سالب MG في
+
+155
+00:12:04,930 --> 00:12:11,090
+H في H هذا ال work من مين من ال conservative force
+
+156
+00:12:11,090 --> 00:12:16,740
+لكن نيجى نحسب ال Delta Uالـ delta u أي دلتا دايما
+
+157
+00:12:16,740 --> 00:12:21,820
+ايش بتساوي ال final ناقص ال inertia U final ناقص
+
+158
+00:12:21,820 --> 00:12:27,020
+ال inertia U final اللي هي طاقة الوضع U final سوين
+
+159
+00:12:27,020 --> 00:12:33,320
+في بعض اذا هنا ال WC بتساوي ال conservative W ال
+
+160
+00:12:33,320 --> 00:12:38,300
+conservative force ساوي سالب MG في H وهد بتساوي
+
+161
+00:12:38,300 --> 00:12:41,720
+سالب delta U بتحط سالب هنا و بتحط اشارة سالب على
+
+162
+00:12:41,720 --> 00:12:48,990
+هذا ال .. اذا سالبU final ناقص U initial السلب مع
+
+163
+00:12:48,990 --> 00:12:57,590
+السلب بتروح إذا في هذا الحالة Delta U U final ناقص
+
+164
+00:12:57,590 --> 00:13:06,050
+U initial بتساوي MGH إذا Delta U بتساوي MGH قارنه
+
+165
+00:13:06,050 --> 00:13:12,850
+بينهم الإختلاف بإشارة ما لها بينهم إشارة سالبةيقول
+
+166
+00:13:12,850 --> 00:13:19,010
+الـ gravity لو أنا أخدت level طاقته
+
+167
+00:13:19,010 --> 00:13:24,050
+الوضع بالنسبة للطاولة بالنسبة للطاولة صفر لو رفعته
+
+168
+00:13:24,050 --> 00:13:29,330
+طاقته الوضع صارت م جي في مين في H صار إليها ارتفاع
+
+169
+00:13:29,330 --> 00:13:34,510
+لذا لو اعتبرت المستوى الأول U initial بتساوي Zero
+
+170
+00:13:34,510 --> 00:13:43,250
+يقول الـ gravityU final ايش بتساوي MG في H هذا
+
+171
+00:13:43,250 --> 00:13:50,490
+بيكون بيساوي Zero لذا ال U ايش بتساوي MG في H لذا
+
+172
+00:13:50,490 --> 00:13:56,340
+طاقة الوضعلأي جسم وضعه بالنسبة لمستوى صفر مستوى
+
+173
+00:13:56,340 --> 00:14:00,040
+الصفر انا عندي الطاولة لو سجدت الجسم على الطاولة
+
+174
+00:14:00,040 --> 00:14:03,580
+طب لو زحته شوية و سجدته على الأرض مستوى الصفر في
+
+175
+00:14:03,580 --> 00:14:07,680
+الحالتين ماله مختلف المستوى الصفر هنا هي الطاولة
+
+176
+00:14:07,680 --> 00:14:12,660
+لكن مستوى الصفر هنا هي الأرض هذا ارتفاعه مترين هذا
+
+177
+00:14:12,660 --> 00:14:17,580
+ارتفاعه متر اذا سقوطه على جسم هيعطيني طاقة هتحول
+
+178
+00:14:17,580 --> 00:14:22,310
+لشغلبتكسر الجسم، هنا بتكسره أكثر، لذا هنا الطاقة
+
+179
+00:14:22,310 --> 00:14:25,830
+مالها اللي موجودة هنا من الارتفاع الحادي بالنسبة
+
+180
+00:14:25,830 --> 00:14:28,090
+للطاقة اللي تختلف عن الطاقة اللي موجودة هنا
+
+181
+00:14:28,090 --> 00:14:32,870
+بالنسبة لمن؟ للأرض، لذا ال potential energy قيمته
+
+182
+00:14:32,870 --> 00:14:37,710
+Mj في H لو انا اخترت مستوى صفر و بدأت احل عليه
+
+183
+00:14:37,710 --> 00:14:40,110
+اللي هو المستوى اللي بدأ اشتغل عليه، المستوى الصفر
+
+184
+00:14:40,110 --> 00:14:45,350
+الصفر، لذا أول حاجة الطاقة الناشرة هي potential
+
+185
+00:14:45,350 --> 00:14:52,400
+energy positive، بتكون موجبةإذا كانت أعلى المستوى،
+
+186
+00:14:52,400 --> 00:14:56,600
+يعني إذا كانت فوق المستوى الصفر، فوق المستوى
+
+187
+00:14:56,600 --> 00:15:01,640
+الطاولة، بتكون إشمالها، موجبة، على المستوى الصفر،
+
+188
+00:15:01,640 --> 00:15:07,080
+صارت صفر، تحت المستوى الصفر، بيصير إيش؟ بيصير
+
+189
+00:15:07,080 --> 00:15:11,180
+بالسالم، إذا لو أنا أخدت مستوى الصفر هنا، هذا U
+
+190
+00:15:11,180 --> 00:15:18,180
+بالساوة Zeroفجيه جسم فجيه موجب على المستوى الصفر
+
+191
+00:15:18,180 --> 00:15:25,000
+قيمته صفر تحتيه بيصير قيمته بالسالب مج في الواي
+
+192
+00:15:25,000 --> 00:15:29,980
+هذا الارتفاع هذا موجب مج في الواي هذا قيمته ال U
+
+193
+00:15:29,980 --> 00:15:34,540
+بالساوية الصفر هذا ال U و هذا ال Uإذا اللي يكون
+
+194
+00:15:34,540 --> 00:15:39,700
+موجبة أو سالبة أو بسوة صفر تبعًا لمين للمستوى اللي
+
+195
+00:15:39,700 --> 00:15:42,860
+موجود عندك إذا كان هي فوق المستوى الصفر وهذا مهم
+
+196
+00:15:42,860 --> 00:15:46,220
+جدًا في حل المسائل بدي أخد أول حاجة مستوى أنا و
+
+197
+00:15:46,220 --> 00:15:48,720
+أجيس في نسبة لمستوى هل هو الجسم فجيه ولا تحت
+
+198
+00:15:48,720 --> 00:15:52,800
+المستوى ولا موجود على المستوى حتى أحل هذه المسائل
+
+199
+00:15:52,800 --> 00:15:57,640
+إذا إما بيكون موجب فوق المستوى سالب تحت المستوى
+
+200
+00:15:57,640 --> 00:16:05,120
+على المستوى الصفر بتكون قيمته Zero ناخد مثلًاهذا
+
+201
+00:16:05,120 --> 00:16:13,100
+المثال بيقول في عندى تاب كتلته واحد
+
+202
+00:16:13,100 --> 00:16:19,440
+اتنين و عشرة كيلو جرام موجود على طاولة على
+
+203
+00:16:19,440 --> 00:16:25,320
+horizontal table ارتفاعها جديش الطاولة هي الطاولة
+
+204
+00:16:25,320 --> 00:16:31,360
+ارتفاعها عن الأرض واحد و نص مترأرتفاع واحد و نص
+
+205
+00:16:31,360 --> 00:16:35,800
+متر في هنا هو موجود في الغرفة إذا هي ال floor تبعت
+
+206
+00:16:35,800 --> 00:16:41,040
+الغرفة هي الأرض وهي السقف ceiling تبعت الغرفة
+
+207
+00:16:41,040 --> 00:16:48,480
+المسافة من هنا لهنا اتنين و تمانية من عشرة متر
+
+208
+00:16:48,480 --> 00:16:54,480
+ارتفاع الغرفة كان اتنين و تمانية من عشرة متر بدي
+
+209
+00:16:54,480 --> 00:17:00,090
+تحسبليال potential energy of the book if the level
+
+210
+00:17:00,090 --> 00:17:07,450
+of zero potential energy أخدته أول حاجة على ال
+
+211
+00:17:07,450 --> 00:17:13,470
+table surface يعني عندك كتاب على الطاولة والكتاب
+
+212
+00:17:13,470 --> 00:17:15,630
+على الطاولة بدأت تحسب اللي هو ال potential energy
+
+213
+00:17:15,630 --> 00:17:19,190
+لما تاخد المستوى الصفر في الحالة الأولى هي الكتاب
+
+214
+00:17:19,190 --> 00:17:27,260
+هي المستوى الصفرأول حالة المستوى الصفر هو الطاولة
+
+215
+00:17:27,260 --> 00:17:32,080
+مباشرة المستوى الصفر هي المستوى الصفر فيه إنه
+
+216
+00:17:32,080 --> 00:17:35,880
+ارتفاع ارتفاعه جداش قيمته Zero يعني U بالساوية أهم
+
+217
+00:17:35,880 --> 00:17:39,380
+من جيه في ال Zero في H لان مافيش ارتفاع او مباشرة
+
+218
+00:17:39,380 --> 00:17:43,500
+مستوى الصفر يزن U جداش في هذا الحالة بتساوي U
+
+219
+00:17:43,500 --> 00:17:48,400
+بالساويةالحقيقة اثبات لكلام قلته قبل قليل ماكنتش
+
+220
+00:17:48,400 --> 00:17:52,360
+موجة ماكنتش سالب طيب لو كان المستوى الصفر ال floor
+
+221
+00:17:52,360 --> 00:17:56,240
+يعني الأرض هي المستوى الصفر ال U في هذه الحالة ايش
+
+222
+00:17:56,240 --> 00:18:03,440
+بتساوي من ال gravity مج في H مج في H الكتاب مرتفع
+
+223
+00:18:03,440 --> 00:18:09,740
+اعلى الأرض اذا بيساوي مج في قداش في واحد و نص اذا
+
+224
+00:18:09,740 --> 00:18:14,260
+مج ال M في ال G في واحد و نص بيطلع قيمتها بالجول
+
+225
+00:18:15,150 --> 00:18:19,610
+المطلوب عندما يكون ال ceiling هذا المستوى الصفر
+
+226
+00:18:19,610 --> 00:18:23,130
+الحالي التالتي هذا المستوى الصفر المستوى الصفر ال
+
+227
+00:18:23,130 --> 00:18:27,410
+level اللي انا ماخده بسوزيه يعني اخدت المستوى فوق
+
+228
+00:18:27,410 --> 00:18:31,630
+ايش بيطلع عندك الكتاب تحت المستوى الصفر اذا انا
+
+229
+00:18:31,630 --> 00:18:36,670
+هيطلع ايش سالب mg في H و هطلع اعوض سالب mg في ال H
+
+230
+00:18:36,670 --> 00:18:41,980
+ال H جداش خميتها من هنا ل هناهذا كل 82.10 متر
+
+231
+00:18:41,980 --> 00:18:48,740
+الطاولة الاتفاقه 1.5 متر اذا هو
+
+232
+00:18:48,740 --> 00:18:54,140
+تحت المستوى الصفري لكي يخرج قيمته بالسادة اذا ال
+
+233
+00:18:54,140 --> 00:18:58,840
+block .. ال block .. آسف الكتاب كان على الطاولة
+
+234
+00:18:58,840 --> 00:19:03,490
+قلت انا بدي احسب ال potential NERG لهبالنسبة
+
+235
+00:19:03,490 --> 00:19:07,150
+للطاولة بالنسبة للأرض هاي الكتاب بالنسبة للطاولة
+
+236
+00:19:07,150 --> 00:19:11,510
+صفر لكن بالنسبة للأرض لأ في بالنسبة للأرض موجب لكن
+
+237
+00:19:11,510 --> 00:19:15,830
+بالنسبة لل ceiling بدي أشيله و أخزن طبعا إذا في
+
+238
+00:19:15,830 --> 00:19:20,770
+هذه الحالة في هذه سالب لما يكون فوق بمستوى الصفر
+
+239
+00:19:20,770 --> 00:19:24,610
+لما يكون مستوى الصفر الأرض موجب لما يكون مستوى
+
+240
+00:19:24,610 --> 00:19:28,930
+الصفر الطاولة يكون له قيمة بالساوة زيرا أو قيمته
+
+241
+00:19:28,930 --> 00:19:33,400
+بالساوة زيرا لأن مطلوب التانيوين ده block ال
+
+242
+00:19:33,400 --> 00:19:37,260
+drops؟ لما ال block إيش ماله يجع على الأرض يعني
+
+243
+00:19:37,260 --> 00:19:43,460
+الحالة التانية ال block وجع يعني
+
+244
+00:19:43,460 --> 00:19:47,340
+صار في delta u يعني كان هنا initial وهنا صار final
+
+245
+00:19:47,340 --> 00:19:57,040
+أو هنا a وهنا صار b جيبلي إيش التغير calculate of
+
+246
+00:19:57,040 --> 00:19:58,160
+zero potential energy
+
+247
+00:20:02,990 --> 00:20:11,450
+بس الكلام سهل جدا ال potential energy بيساوي 0 u
+
+248
+00:20:11,450 --> 00:20:17,010
+initial و u final سالب m gfh بدي احسب ال delta u
+
+249
+00:20:17,010 --> 00:20:29,310
+هنا اصلا calculate delta u ال delta u
+
+250
+00:20:30,410 --> 00:20:42,190
+هل هتتغير قيمتها ولا لأ في التلات الحلقات لما
+
+251
+00:20:42,190 --> 00:20:47,390
+نزل الكتاب دلتا U ايش بتساوي دايما دلتا U بتساوي
+
+252
+00:20:47,390 --> 00:20:53,210
+ال U final ناقص ال U initial بدي اخد مستوى صفر
+
+253
+00:20:53,210 --> 00:20:57,970
+نفرض اول مستوى صفر هنا مستوى تبع ال block هذا
+
+254
+00:20:57,970 --> 00:21:01,710
+المستوى الصفريعني جسم عليه potential energy
+
+255
+00:21:01,710 --> 00:21:05,470
+بالساوية زي Zero ايش هيكون اندي Delta U ايش
+
+256
+00:21:05,470 --> 00:21:11,610
+بالساوية Delta U نكتبها هنا U final ناقص U initial
+
+257
+00:21:11,610 --> 00:21:17,450
+initial هي الجسم هي final هذا المستوى الصفر اذا ال
+
+258
+00:21:17,450 --> 00:21:24,010
+initial ايش معلها ال zero طيب ال final ال final
+
+259
+00:21:24,010 --> 00:21:28,400
+اللي اكتب صار هناوهي المستوى الصفر تحت المستوى
+
+260
+00:21:28,400 --> 00:21:34,180
+الصفر ايش بيصير عندي سالب MG في جديجة في واحد و نص
+
+261
+00:21:34,180 --> 00:21:39,700
+في الارتفاع اذا سالب MG في واحد و نص سالب MG في
+
+262
+00:21:39,700 --> 00:21:43,320
+واحد و نص لانه نزل عن طاولة مقدار واحد و نص بيطلع
+
+263
+00:21:43,320 --> 00:21:50,020
+هذه القيمة بالسالب الان المستوى المرت الخطوة
+
+264
+00:21:50,020 --> 00:21:54,160
+التانية المستوى الصفر هي الأرض يعني هذا جمنا و
+
+265
+00:21:54,160 --> 00:22:01,160
+حطيت مستوى صفر جديدهذا U بساوي Zero لأن بنفس
+
+266
+00:22:01,160 --> 00:22:04,220
+الكيفية في المنطقة التانية في المرحلة التانية
+
+267
+00:22:04,220 --> 00:22:11,500
+Delta U ساوي U final ناقص U initial U final هي ال
+
+268
+00:22:11,500 --> 00:22:14,780
+final و ال initial وجع من نقطة البداية وصلت لنقطة
+
+269
+00:22:14,780 --> 00:22:17,000
+النهاية هي ال final مستوى الصفر اذا ال final
+
+270
+00:22:17,000 --> 00:22:20,480
+اشمالها Zero لأن الاكتئاب صار عن المستوى الصفر
+
+271
+00:22:20,480 --> 00:22:28,360
+اللي انا أخدته ناقصU initial الكتاب هايم بالنسبة
+
+272
+00:22:28,360 --> 00:22:31,900
+لمستوى الصفر له ارتفاع جداش قيمته واحد و نص متر
+
+273
+00:22:31,900 --> 00:22:39,300
+اذا سالب MG في الواحد و نص متر ايش بتلاحظه Delta U
+
+274
+00:22:39,300 --> 00:22:44,320
+Delta U في الحالة الأولى Delta U في الحالة التانية
+
+275
+00:22:44,320 --> 00:22:47,140
+الأولى سالب MG في الواحد و نص الحالة التانية سالب
+
+276
+00:22:47,140 --> 00:22:53,360
+MG في الواحد و نص نفس القيمةطب لو أخدت السقف هو ال
+
+277
+00:22:53,360 --> 00:22:58,800
+potential هو ال level بيساوي 0 يعني السقف هو ال
+
+278
+00:22:58,800 --> 00:23:03,600
+level الصفر ايش متوقعين يطلع جامد محل؟ هيطلع ايش؟
+
+279
+00:23:03,600 --> 00:23:08,400
+هيطلع نفس .. نفس القيمة هيطلع نفس القيمة تعالوا
+
+280
+00:23:08,400 --> 00:23:15,060
+نشوف .. نطبق مستوى الصفر هنا delta u هيكتبها هنا
+
+281
+00:23:16,070 --> 00:23:21,810
+بتساوي U final ناقص U initial U final الكتاب هي U
+
+282
+00:23:21,810 --> 00:23:27,190
+final مش هنا كان الكتاب وهي initial بالنسبة
+
+283
+00:23:27,190 --> 00:23:31,630
+للمستوى الصفر تحت المستوى الصفر بجداش عند المسافة
+
+284
+00:23:31,630 --> 00:23:39,710
+82 من عشرة متر لذا بقدر اقول سالب MG في 82 من عشرة
+
+285
+00:23:39,710 --> 00:23:46,600
+متر ناقصالـ initial برضه تحت المستوى الصفرى لذا
+
+286
+00:23:46,600 --> 00:23:53,800
+كمان ناقص mg في ال H في واحد و تلاتة من عشرة متر
+
+287
+00:23:53,800 --> 00:24:00,640
+ناقص و ناقص بيصير زائد mg في واحد و تلاتة من عشرة
+
+288
+00:24:00,640 --> 00:24:06,420
+متر سالب mg في اتنين و تمانية من عشرة متر ايش
+
+289
+00:24:06,420 --> 00:24:14,050
+بيطلع عنده سالب mg في واحد و نصو هي نفس القيمة اذا
+
+290
+00:24:14,050 --> 00:24:16,470
+بتلاحظ ان ال potential energy المستوى الصفر ال
+
+291
+00:24:16,470 --> 00:24:20,650
+delta U لما تاخدها خد المستوى الصفر اللي بدكيها في
+
+292
+00:24:20,650 --> 00:24:24,150
+الآخر النتيجة اللي بتطلع معايا نفس النتيجة و
+
+293
+00:24:24,150 --> 00:24:28,930
+يعطيكوا العافية و المحاضرة الجاي بنحاول نكمل اللي
+
+294
+00:24:28,930 --> 00:24:31,610
+هو على الموضوع نفسه يعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/RRLuXR1BGo4_postprocess.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/RRLuXR1BGo4_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..39f8b75c39d6ae98fcf70b356588e9bd6ead669c
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/RRLuXR1BGo4_postprocess.srt
@@ -0,0 +1,1276 @@
+1
+00:00:05,520 --> 00:00:10,620
+السلام عليكم يعطيكم العافية ان شاء الله يكون هذا
+
+2
+00:00:10,620 --> 00:00:15,220
+ال chapter درسته كويس و طبعا هذا ال chapter قلنا
+
+3
+00:00:15,220 --> 00:00:19,380
+زي من البداية انه هذا ال chapter شهر سهل مروا
+
+4
+00:00:19,380 --> 00:00:24,700
+عليكم قبل ده او جزء كبير منه مروا عليكم بمفاهيم
+
+5
+00:00:24,700 --> 00:00:28,940
+بنفس المفاهيم نيجي نتكلم اليوم عن تكملة هذا ال
+
+6
+00:00:28,940 --> 00:00:32,640
+chapter اللي هو a frictional force اللي هي قوة
+
+7
+00:00:32,640 --> 00:00:38,370
+الاحتكاكال frictional force هو الاحتكاك اي سطح
+
+8
+00:00:38,370 --> 00:00:43,730
+عندى اي سطح هذا سطح هو سطح خشن لو جيته اطلع عليه
+
+9
+00:00:43,730 --> 00:00:49,490
+بال microscope هلاقي داخله ايش نتوءات هذه النتوءات
+
+10
+00:00:49,490 --> 00:00:56,410
+لو انا حطيت جسم اخر على هذا السطح في الجسم الاخر
+
+11
+00:00:56,410 --> 00:01:01,610
+برضه فيه نتوءات بيصير النتوءات مالها شبه متماسكة
+
+12
+00:01:01,610 --> 00:01:06,820
+مع بعضإذا أي سطح موجود عنده فيه نتوءات و السطح
+
+13
+00:01:06,820 --> 00:01:10,960
+التاني فيه نتوءات لو صار بينهم تلامس بين هدول
+
+14
+00:01:10,960 --> 00:01:16,120
+السطحين بنشأ قوة الاحتكاك إذا قوة الاحتكاك بتنشأ
+
+15
+00:01:16,120 --> 00:01:22,840
+وقت إيش؟ لما يصير في عنده سطحين بينهم contact،
+
+16
+00:01:22,840 --> 00:01:27,820
+بينهم تلامس طب هذا التلامس إيش بيعمله؟ بيعمل قوة
+
+17
+00:01:27,820 --> 00:01:33,610
+الاحتكاك تعيق مين؟ تعيق الحركةلو أنا بدي أحرك هذا
+
+18
+00:01:33,610 --> 00:01:39,050
+الجسم بهذا ال .. هذا الجوال مثلا، بدي أحركه بقوة،
+
+19
+00:01:39,050 --> 00:01:42,590
+يا بدفعه يا بسحبه، الآن لو أحركه، حلاقي في قوة ما
+
+20
+00:01:42,590 --> 00:01:48,360
+لها تعيق هذه الحركةهذه القوة اللي بتعيق هذه الحركة
+
+21
+00:01:48,360 --> 00:01:52,960
+بسميها ال friction .. frictional forces لذن هذه
+
+22
+00:01:52,960 --> 00:01:57,620
+قوة الاحتكاك اللي موجودة عندك طب إيها تلت حالات
+
+23
+00:01:57,620 --> 00:02:04,720
+عند موجودة ممكن تكون صورة من صور هذه الاحتكاك هذا
+
+24
+00:02:04,720 --> 00:02:10,060
+الاحتكاك أول حاجة هذا الجسم موجود على سطح الطاولة
+
+25
+00:02:10,060 --> 00:02:16,570
+قوة الاحتكاك قيمتها قداشفى قوة احتكاك طبعا فى هذه
+
+26
+00:02:16,570 --> 00:02:20,990
+القوة الاحتكاك نتواقعات موجودة لكن قوة الاحتكاك
+
+27
+00:02:20,990 --> 00:02:25,930
+قيمتها فى هذه الحالة بالساوية Zero فالـ Frictional
+
+28
+00:02:25,930 --> 00:02:31,630
+force ليش لأنه summation لل force بالساوية M فى A
+
+29
+00:02:31,630 --> 00:02:37,550
+فى هذه الحالة ال A بالساوية Zero فهو فقط ال
+
+30
+00:02:37,550 --> 00:02:42,640
+friction forceبنسميها .. بعدين هناخد اسمها F
+
+31
+00:02:42,640 --> 00:02:45,300
+بتساوي في هذه الحالة بالساوي Zero إذا ال
+
+32
+00:02:45,300 --> 00:02:48,840
+frictional force بالساوي Zero لأنه فش applied
+
+33
+00:02:48,840 --> 00:02:53,180
+force إذا لما يكون فش عندى applied force no
+
+34
+00:02:53,180 --> 00:02:59,840
+external force is applied فش قوة خارجية أثرت على
+
+35
+00:02:59,840 --> 00:03:03,740
+هذا الجسم ال friction force بتكون في هذه الحالة
+
+36
+00:03:03,740 --> 00:03:09,610
+قيمتها Zero وبرمزولها بالرمزممكن تكون رمزها في هذه
+
+37
+00:03:09,610 --> 00:03:15,510
+الحالة Fs بتساوي Zero إذا ال friction force في هذه
+
+38
+00:03:15,510 --> 00:03:21,690
+الحالة بتساوي Zero روحت أثرت بقوة لكن هذه القوة ما
+
+39
+00:03:21,690 --> 00:03:26,350
+حركتش الجسم أثرت
+
+40
+00:03:26,350 --> 00:03:32,580
+بواحد نيوتن ماحركتش الجسمإذا ال external force
+
+41
+00:03:32,580 --> 00:03:39,120
+اللي أنا طبقتها لم معاملتش أي حركة، دلت ال
+
+42
+00:03:39,120 --> 00:03:42,540
+acceleration قيمتها جداش، إذا ال summation لل
+
+43
+00:03:42,540 --> 00:03:49,480
+force بتساوي zero، تساوي M في A، والجسم دلوا ساكن،
+
+44
+00:03:49,480 --> 00:03:54,020
+أنا عملت قوة applied force، هي ال applied forceفي
+
+45
+00:03:54,020 --> 00:03:57,340
+الاتجاه المعاكس فيه ال friction force اللي عمل
+
+46
+00:03:57,340 --> 00:04:04,080
+إعاقة للحركة إذا بقدر أقول F ناقص ال F ل friction
+
+47
+00:04:04,080 --> 00:04:08,320
+force بيساوي Zero إذا ال F بتساوي ال friction
+
+48
+00:04:08,320 --> 00:04:13,380
+force إذا صار ل friction force قيمة لكن في هذه
+
+49
+00:04:13,380 --> 00:04:18,380
+الحالة ماتحركش الجسم إذا أول حاجة هنا no applied
+
+50
+00:04:18,380 --> 00:04:23,100
+force ل friction force بيساوي Zero هنا أثرت بقوة
+
+51
+00:04:23,870 --> 00:04:29,510
+صار في عنده friction force بس الجسم ماله ضاله ساكن
+
+52
+00:04:29,510 --> 00:04:33,710
+الان روح اتزودت ال friction ال applied force ضلت
+
+53
+00:04:33,710 --> 00:04:39,490
+ازود فيها بأثر عليه واحد نيوتن اتنين نيوتن تلاتة
+
+54
+00:04:39,490 --> 00:04:43,990
+نيوتن اربعة نيوتن خمسة نيوتن ستة نيوتن ستة واحد من
+
+55
+00:04:43,990 --> 00:04:48,450
+عشرة اتحرك صار عنده ال friction في الجسم ماله
+
+56
+00:04:48,450 --> 00:04:55,370
+متحرك وصار في هذه الحالةفى acceleration إذا الحالة
+
+57
+00:04:55,370 --> 00:04:58,550
+التالتة هذه الحالة الأولى الحالة التانية الحالة
+
+58
+00:04:58,550 --> 00:05:02,470
+التالتة الجسم صار فى acceleration as a sumational
+
+59
+00:05:02,470 --> 00:05:10,190
+force بتساوي M في A طيب هيسوي ليه applied force F
+
+60
+00:05:10,190 --> 00:05:16,730
+ناقص ال acceleration مع ال applied force إذا ال F
+
+61
+00:05:16,730 --> 00:05:22,060
+ناقص a friction forceبس ال friction force في هذه
+
+62
+00:05:22,060 --> 00:05:28,060
+الحالة بيدغيق رمزها بيدحقها K ليش؟ لأنها صارت
+
+63
+00:05:28,060 --> 00:05:32,420
+kinetics صار في حركة هنا بيدحقها S في الحالة
+
+64
+00:05:32,420 --> 00:05:39,620
+الأولى وحطها في هذه الحالة FS لما صار عند حركة
+
+65
+00:05:39,620 --> 00:05:46,040
+حطيتها FK طيب ال F friction force كانت Zeroبعدين
+
+66
+00:05:46,040 --> 00:05:49,980
+أخدت في المرحلة الحالية التانية واحد أحطها واحد
+
+67
+00:05:49,980 --> 00:05:56,320
+طبقت واحد واحد نيوتن ال Fs صارت واحد طبقت اتنين
+
+68
+00:05:56,320 --> 00:06:01,320
+نيوتن ال Fs صارت اتنين طبقت تلاتة Fs صارت تلاتة
+
+69
+00:06:01,320 --> 00:06:08,760
+طبقت ستة Fs صارت ستة طبقت ستة واحد من عشرة صار Fk
+
+70
+00:06:09,860 --> 00:06:16,320
+جمت ال Fs شطبتها و حطيت محلها Fk طيب Fs اللي
+
+71
+00:06:16,320 --> 00:06:19,800
+بتاخدها إيه لها قيمة متغيرة معناها ذلك؟ لأ مش
+
+72
+00:06:19,800 --> 00:06:24,300
+متغيرة هي بتاخد قيمة ال applied force اللي موجود
+
+73
+00:06:24,300 --> 00:06:30,880
+عندى مثال آخر لو أنا فيه حبل و بشده الحبل هذا
+
+74
+00:06:30,880 --> 00:06:35,130
+بستحمل 200 نيوترعشرة نيوتن شدته بعشرة نيوتن الشد
+
+75
+00:06:35,130 --> 00:06:39,070
+في الحبل قداش صار عنده هو بستحمل على الآخر حاجة
+
+76
+00:06:39,070 --> 00:06:43,050
+متى نيوتن يعني بعد المياش في السيرفي بنقطع شدته
+
+77
+00:06:43,050 --> 00:06:48,010
+بعشرة نيوتن الشد في الحبل صار عشرة عشرين صار عشرين
+
+78
+00:06:48,010 --> 00:06:55,810
+ميةصار على وشك انه ايش 101 من مليون الحبل اشمله
+
+79
+00:06:55,810 --> 00:07:02,910
+بانقطع، اذا في هذه الحالة تغير من نفس المثال كأنه
+
+80
+00:07:02,910 --> 00:07:07,210
+صار في كان عند في friction force بعد هيك صارت فيه
+
+81
+00:07:07,210 --> 00:07:10,750
+حركة انقطع الحبل و ال friction force بده شبهها
+
+82
+00:07:10,750 --> 00:07:17,100
+بحاجة تانية ال friction force كأنه هو لزاججسمين
+
+83
+00:07:17,100 --> 00:07:23,060
+ملاسقات مع بعض هذا الجسمين متلاسقين الان اللزاج
+
+84
+00:07:23,060 --> 00:07:28,640
+اللي مسكهم ال 10 نيوتن كمثال الان لو سحبت ب 8
+
+85
+00:07:28,640 --> 00:07:34,120
+نيوتن متحركش مربوط ما هو في الجسم مربوط بشد مربوط
+
+86
+00:07:34,120 --> 00:07:37,540
+بقوة ال .. اذا في هذا ال .. ال friction force
+
+87
+00:07:37,540 --> 00:07:41,600
+بيصير تمانية سحبت بعشرة بيكون على وشك ان اللزاج
+
+88
+00:07:41,600 --> 00:07:46,660
+اللي بينهما له ينفجرسحبت بعشر أو شويه، إيش
+
+89
+00:07:46,660 --> 00:07:51,610
+بيصيروا؟بنفجره ازاي و بيصير الجسم ماله متحرك اذا
+
+90
+00:07:51,610 --> 00:07:56,570
+في مرحلتين مرحلة بسميها static friction force
+
+91
+00:07:56,570 --> 00:08:00,210
+الأولى و التانى من هنا هنا في المرحلة الأولى لما
+
+92
+00:08:00,210 --> 00:08:05,210
+كان ساكن و المرحلة زاد زاد زاد لما وصل لمين بدي
+
+93
+00:08:05,210 --> 00:08:08,590
+احطها دي بصة بزيد لما تصير ال friction force على
+
+94
+00:08:08,590 --> 00:08:13,750
+وشك الحركة باخد Fs و بدي احطها ايش maximum
+
+95
+00:08:16,160 --> 00:08:20,680
+قيمته الـ friction force static في هذه الحالة و في
+
+96
+00:08:20,680 --> 00:08:26,640
+هذه الحالة الـ Fs بتاخد من Zero و بتظهر زيدي زيدي
+
+97
+00:08:26,640 --> 00:08:27,420
+زيدي زيدي زيدي زيدي زيدي زيدي زيدي زيدي زيدي زيدي
+
+98
+00:08:27,420 --> 00:08:31,680
+زيدي زيدي زيدي
+
+99
+00:08:40,260 --> 00:08:44,280
+مين اللي بيحددها بين هذا ال interval ال applied
+
+100
+00:08:44,280 --> 00:08:49,640
+force إذا ال applied force ما زال جسم ساكن قيمة ال
+
+101
+00:08:49,640 --> 00:08:53,700
+friction force بتكون مساوية لل applied force وفي
+
+102
+00:08:53,700 --> 00:08:58,420
+هذه الحالة بتكون static طيب وقت إيش بتعرف ال Fs
+
+103
+00:08:58,420 --> 00:09:04,030
+maximumلما يكون الجسم على وشك الإنزلاق أو ينزلك
+
+104
+00:09:04,030 --> 00:09:08,750
+واحد بالنسبال أو يتحرك على وشك الحركة يعني أي قوة
+
+105
+00:09:08,750 --> 00:09:14,490
+بعدها أي ضعف للقوة بتغير للجسم من وضع السكون لوضع
+
+106
+00:09:14,490 --> 00:09:20,110
+الحركة، إذا الأفأس maximum بتكون واتشقمتها لما
+
+107
+00:09:20,110 --> 00:09:26,930
+يكون الجسم على وشك الحركةلما يصير متحرك بيصير عندى
+
+108
+00:09:26,930 --> 00:09:31,770
+قيمتها قولت في هذه الحالة جسم متحرك و بيصير عندى
+
+109
+00:09:31,770 --> 00:09:37,270
+أفضل أسافر كبساوية MA و بسميها kinetic friction
+
+110
+00:09:37,270 --> 00:09:40,890
+force
+
+111
+00:09:40,890 --> 00:09:45,850
+طيب ال friction force وجدوها بتتناسب مع ال normal
+
+112
+00:09:45,850 --> 00:09:53,600
+force يعني هذا الجسمفي احتكاك بين الجوال وبين
+
+113
+00:09:53,600 --> 00:09:57,720
+الطاولة الآن لو أثرت عليه بتنير النيوتن ممكن اتحرك
+
+114
+00:09:57,720 --> 00:10:02,260
+لو روحت انا اضغطت عليه ايش بكون عملت بين السطحين
+
+115
+00:10:02,260 --> 00:10:09,400
+زودت ال normal forceزودت قوة التلامس او ال contact
+
+116
+00:10:09,400 --> 00:10:12,860
+ال normal force بين السطح الأول والسطح التاني لو
+
+117
+00:10:12,860 --> 00:10:18,280
+ضغطت ب 2 نيوتل بتحرك، بتحركش، ليش؟ لأنه زادت ال
+
+118
+00:10:18,280 --> 00:10:23,290
+normal force، اذا وجدوا ان ال normal forceالـ
+
+119
+00:10:23,290 --> 00:10:26,450
+Normal Force لـ Friction Force بتتأثر بالـ Normal
+
+120
+00:10:26,450 --> 00:10:32,370
+Force بعلاقة ما لها علاقة طردية إذا بقدر أقول Fs
+
+121
+00:10:32,370 --> 00:10:37,250
+أقل أو تساوي Mu S في الـ Normal Force و ليش قلت
+
+122
+00:10:37,250 --> 00:10:42,310
+أقل أو تساوي لأنها بتاخد من Zero لقداش ل Fs
+
+123
+00:10:42,310 --> 00:10:50,170
+Maximum يعني بقدر أقول Fs Maximum قيمتها بساوي Mu
+
+124
+00:10:50,170 --> 00:10:56,840
+S في الـ Normal Forceوالـ mu s هذا بسميه
+
+125
+00:10:56,840 --> 00:11:01,140
+coefficient of static friction
+
+126
+00:11:05,870 --> 00:11:10,470
+طيب و ال FK كمان مارح حتى يكون متحرك مايله علاقة
+
+127
+00:11:10,470 --> 00:11:14,690
+بمين بال normal force مين أسهل يتحرك الجسم اللي
+
+128
+00:11:14,690 --> 00:11:19,350
+أنا مش ضغط عليه ولا الجسم اللي ضغط عليه طبعا اللي
+
+129
+00:11:19,350 --> 00:11:23,490
+مش ضغط عليه لذا ال FK بتساوي ميو K في ال normal
+
+130
+00:11:23,490 --> 00:11:26,750
+force و لاحظوا كتابة بيساوي لأنه فيه حالة واحدة
+
+131
+00:11:26,750 --> 00:11:31,620
+حالة الحركة فقطلكن الـ Static له حق له من Zero فش
+
+132
+00:11:31,620 --> 00:11:35,500
+قوة مؤثرة عليه أثرت بقوة قوتين تلاتي أضافتها صار
+
+133
+00:11:35,500 --> 00:11:40,340
+فيه FSE يشملها maximum إذن كمان مرة ملخص وهذا
+
+134
+00:11:40,340 --> 00:11:46,090
+بسميه MuK coefficient of kinetic frictionمعامل
+
+135
+00:11:46,090 --> 00:11:51,070
+الاحتكاك السكوني ومعامل الاحتكاك الحركي ويعتمد
+
+136
+00:11:51,070 --> 00:11:56,370
+معامل الاحتكاك على نوع السطح، على خشونة هذا السطح،
+
+137
+00:11:56,370 --> 00:12:00,910
+على النتوءات الموجودة في هذا السطح، فالـ FK و FS
+
+138
+00:12:00,910 --> 00:12:07,670
+باعتمدوا على السطحإذا أول ما بدي أشوف الجسم يعني
+
+139
+00:12:07,670 --> 00:12:10,870
+لو أنا قلت هذا الجسم متحرك ولا مش متحرك بضروح أحسب
+
+140
+00:12:10,870 --> 00:12:13,270
+ال applied force أشوف ال applied force و أشوف
+
+141
+00:12:13,270 --> 00:12:17,490
+القوة اللي تحت هنا اللي بين السطحين اللي بسميها Fs
+
+142
+00:12:17,490 --> 00:12:23,410
+maximum و أحسب قيمتها إذا أنا طبقت بقوة أكثر من ال
+
+143
+00:12:23,410 --> 00:12:30,370
+Fs maximum بيصير عند الجسم مالهمتحرك بقوة أقل من
+
+144
+00:12:30,370 --> 00:12:34,690
+أفقاس ماكسما بيظل الجسم ماله ساكن اذا اول خطوة
+
+145
+00:12:34,690 --> 00:12:39,710
+ايما بدي اعمل test بدي اشوف هل الجسم متحرك ولا
+
+146
+00:12:39,710 --> 00:12:44,560
+ساكن ايش بدي اعمل بدي اشوف ال applied force هناالـ
+
+147
+00:12:44,560 --> 00:12:49,060
+Applied force اللي موجود عنده هل هي أكبر من ال F
+
+148
+00:12:49,060 --> 00:12:54,480
+أول حاجة باخد ال F S لأنه ميو S و ميو K قيمهم
+
+149
+00:12:54,480 --> 00:13:01,080
+مختلفة F ميو S دائما ما لها أكبر من إيش من ميو K
+
+150
+00:13:01,080 --> 00:13:05,900
+إذا أول حاجة بدأ أروح أحسب F S إيش ما لها maximum
+
+151
+00:13:07,470 --> 00:13:10,750
+بعد محسب fs maximum اللي هي قيمتها بيساوي mu s في
+
+152
+00:13:10,750 --> 00:13:15,270
+ال normal force بدي أشوف ال applied force إذا f
+
+153
+00:13:15,270 --> 00:13:22,050
+أكبر من fs maximum بيصير الجسم ماله بيصير الجسم
+
+154
+00:13:22,050 --> 00:13:29,990
+متحرك ال f أقل من fs maximum بيظل الجسم ساكن وقيمة
+
+155
+00:13:29,990 --> 00:13:33,170
+ال fs في هذا الحالة بتساوي ال applied force
+
+156
+00:13:33,170 --> 00:13:38,790
+external applied force القوة الخارجيةماشي نيجي
+
+157
+00:13:38,790 --> 00:13:47,090
+نشوف كيف انا بده احل اي مسألة موجودة عندى اول حاجة
+
+158
+00:13:47,090 --> 00:13:51,130
+دائما
+
+159
+00:13:51,130 --> 00:13:56,570
+قوة الاحتكاك مالها موازية للسطح
+
+160
+00:14:00,490 --> 00:14:03,270
+دائما انا في حل المسائل اللي كنا فيها ده الشبطر
+
+161
+00:14:03,270 --> 00:14:06,430
+لازم ارسم ال free body diagram حتى في الشبطر اللي
+
+162
+00:14:06,430 --> 00:14:10,550
+جاي عندي ال free body diagram لازم ا ارسمه دائما
+
+163
+00:14:10,550 --> 00:14:15,290
+قبل ما احل المسألة في عندي applied force عكسها
+
+164
+00:14:15,290 --> 00:14:20,970
+تماما وموازية للسطح وناشعة من وين؟ من السطحينمن
+
+165
+00:14:20,970 --> 00:14:25,650
+نقطة من سطحين المتلامسات وقيمتها يدّيش بالسوء Fs
+
+166
+00:14:25,650 --> 00:14:29,590
+إذا أول حاجة بدي أشوفيها عند ال normal force و
+
+167
+00:14:29,590 --> 00:14:35,330
+الوزن دايما لوين لأسفل مين بيلزمني ال normal force
+
+168
+00:14:35,330 --> 00:14:42,130
+و Mu S و Mu K لهذا السطر إذا أول حاجة بدي أرسم
+
+169
+00:14:42,130 --> 00:14:47,370
+اللي هي القوة ال friction forceودايمًا ما لها
+
+170
+00:14:47,370 --> 00:14:54,010
+موازية لل surface in contact رقم اتنين The force
+
+171
+00:14:54,010 --> 00:14:58,570
+static friction is always opposite دايمًا ما لها
+
+172
+00:14:58,570 --> 00:15:02,270
+applied force عكس ال applied force هي ال applied
+
+173
+00:15:02,270 --> 00:15:05,650
+force هي ال applied force في هذا الاتجاه ال
+
+174
+00:15:05,650 --> 00:15:09,890
+friction force أي ان كانت static ولا kinetic معاكس
+
+175
+00:15:09,890 --> 00:15:14,960
+لل applied forceرقم تلاتة The force of kinetic
+
+176
+00:15:14,960 --> 00:15:19,740
+friction is always opposite the direction of
+
+177
+00:15:19,740 --> 00:15:25,000
+motion بتعاكز الحركة دائما إذا في الجسم بعد ذلك
+
+178
+00:15:25,000 --> 00:15:28,780
+صار متحرك لما يكون static بتعاكز ال applied force
+
+179
+00:15:28,780 --> 00:15:32,720
+لما يكون متحرك بتعاكز الحركة الموجودة يعني ال
+
+180
+00:15:32,720 --> 00:15:36,600
+acceleration والجسم متحرك في أي اتجاه ال friction
+
+181
+00:15:36,600 --> 00:15:43,030
+force في عكس حركة الجسمالـ friction force together
+
+182
+00:15:43,030 --> 00:15:48,490
+بتتناسب مع مين؟ مع الـ normal force بتتناسب مع الـ
+
+183
+00:15:48,490 --> 00:15:52,030
+normal force فلذلك بده أحسب الـ normal force و الـ
+
+184
+00:15:52,030 --> 00:15:59,010
+normal force دايما متعامدة مع مين؟ مع السطح نجي
+
+185
+00:15:59,010 --> 00:16:07,050
+ناخد مثال أنا في عندي جسم موجود على سطح مائل أول
+
+186
+00:16:07,050 --> 00:16:13,130
+حاجة الحركة المتوقعةوين تكون وين الجسم ينزلق الى
+
+187
+00:16:13,130 --> 00:16:18,430
+أسفل وين ال applied force هلاجيها بهذا الشكل طب
+
+188
+00:16:18,430 --> 00:16:21,530
+نيجي نرسم ل free body diagram اذا ذاكرين رسمناها
+
+189
+00:16:21,530 --> 00:16:27,990
+المحاضرة السابقة ام جي لوين الى أسفل وفيه ال
+
+190
+00:16:27,990 --> 00:16:33,110
+normal force ناشي ام نستطيع اهم النقطةمن نقاط
+
+191
+00:16:33,110 --> 00:16:38,270
+التلامس بين السطحين وعمودي على مين؟ على السطح و ال
+
+192
+00:16:38,270 --> 00:16:44,870
+MG دايما اتجاهها لوين؟ لأسفل الان الجسم جولنا اذا
+
+193
+00:16:44,870 --> 00:16:48,730
+ذاكرين هنا جولنا لما جولنا تلاتين كمثال هذا عمودي
+
+194
+00:16:48,730 --> 00:16:53,490
+على السطح هذا بتكون ستين هنا بتكون عنده تلاتين اذا
+
+195
+00:16:53,490 --> 00:17:03,570
+هنا ثيتا هاي محور X وهاي محور Y او هاي X وهاي Yبدي
+
+196
+00:17:03,570 --> 00:17:10,050
+احلل القوة بان انا اخد two axes متعامدات هي X بلق
+
+197
+00:17:10,050 --> 00:17:14,810
+ال MG لا هي في اتجاه ال X ولا هي في اتجاه ال Y بدي
+
+198
+00:17:14,810 --> 00:17:19,590
+احللها القريب من الزاوية باخد MG cosine الزاوية
+
+199
+00:17:19,590 --> 00:17:25,490
+ونبعيد باخد MG sine الزاوية
+
+200
+00:17:28,120 --> 00:17:32,120
+الآن الجسم MG صيني الزاوية هي الـ Applied اللي
+
+201
+00:17:32,120 --> 00:17:36,780
+هتحرك هذا الجسم هي اللي هتأثر على الجسم وتخليه
+
+202
+00:17:36,780 --> 00:17:41,380
+ينزلق، إذا هنا بالعكس بيكون تم من السطح هنا ناشئ
+
+203
+00:17:41,380 --> 00:17:47,460
+من السطح، في عندي F و هذا الـ F في الاحتمالين إنها
+
+204
+00:17:47,460 --> 00:17:53,560
+تكون static أو تكون kineticطيب احنا قلنا هتعرف هل
+
+205
+00:17:53,560 --> 00:17:58,020
+هي أستاتك ولا كائنتك ايش بده اعمل بده اروح اعمل ال
+
+206
+00:17:58,020 --> 00:18:06,060
+test اشوف مج صين ازاي قداش قيمتها وال اف اس ماكسما
+
+207
+00:18:06,060 --> 00:18:12,000
+قداش قيمتها حتى الجسم يتحرك ولا لأ اذا كان متحرك
+
+208
+00:18:12,000 --> 00:18:18,880
+خلاص ريحني اذا قال الجسم ينزلق هناينزلق في هذه
+
+209
+00:18:18,880 --> 00:18:25,580
+الحالة بكون انا حددت قيمة ال F اللي بده احطها و
+
+210
+00:18:25,580 --> 00:18:29,760
+بحطها FK عند النقطة هذه اذا لو كان عند جسم كمان
+
+211
+00:18:29,760 --> 00:18:34,680
+مرة اعطاني ياه و ماجليش بنزلق او جالق وجد ال
+
+212
+00:18:34,680 --> 00:18:38,810
+acceleration بده اروح اعمل ال testماذا يفعل
+
+213
+00:18:38,810 --> 00:18:42,130
+البرنامج؟ يقوم بتجريب أف أس ماكسيمام هو قارنها بال
+
+214
+00:18:42,130 --> 00:18:47,030
+applied force إذا ال applied force التي كانت مجي
+
+215
+00:18:47,030 --> 00:18:48,890
+صينيزها أكبر من أف أس مجي صينيزها أكبر من أف أس
+
+216
+00:18:48,890 --> 00:18:51,070
+مجي صينيزها أكبر من أف أس مجي صينيزها أكبر من أف
+
+217
+00:18:51,070 --> 00:18:51,190
+أس مجي صينيزها أكبر من أف أس مجي صينيزها أكبر من
+
+218
+00:18:51,190 --> 00:18:51,230
+أف أس مجي صينيزها أكبر من أف أس مجي صينيزها أكبر
+
+219
+00:18:51,230 --> 00:18:52,010
+من أف أس مجي صينيزها أكبر من أف أس مجي صينيزها
+
+220
+00:18:52,010 --> 00:18:56,830
+أكبر من أف أس مجي صينيزها أكبر
+
+221
+00:18:56,830 --> 00:19:01,520
+من أف أس مجيبنشوف السؤال ايش بيقول عندي على سطح
+
+222
+00:19:01,520 --> 00:19:05,620
+مائل الـkinetic friction أعطان الـkinetic friction
+
+223
+00:19:05,620 --> 00:19:13,980
+between two blocks and plane Mu قيمتها Mu بدوا
+
+224
+00:19:13,980 --> 00:19:18,120
+الـacceleration of the block يعني الجسمين معاهم
+
+225
+00:19:18,120 --> 00:19:22,940
+بنزلقوا على بعض أو الجسم اللي فوق بنزلق لتحت ميزان
+
+226
+00:19:22,940 --> 00:19:28,700
+جالي متحرك وبدوا الـaccelerationبدي اوجد احط ايش
+
+227
+00:19:28,700 --> 00:19:33,180
+احط fk اذا اول حاجة حللة هذه القوة اللي موجودة
+
+228
+00:19:33,180 --> 00:19:37,340
+عنده هي رسمتها mg sin الزاوية و ال mg لأسفل و هنا
+
+229
+00:19:37,340 --> 00:19:42,500
+في عندي ناشط من النص هنا mg cos الزاوية و في ال fk
+
+230
+00:19:42,500 --> 00:19:46,040
+و في عندي normal force ناشط من السطح هاي جميع
+
+231
+00:19:46,040 --> 00:19:50,240
+القوات وهذا هو ال free body diagram اول حاجة
+
+232
+00:19:50,240 --> 00:19:54,160
+normal force estimationلل force في اتجاه ال Y
+
+233
+00:19:54,160 --> 00:19:59,140
+بيساوي الدياش Zero ايش في عنده في اتجاه ال Y في
+
+234
+00:19:59,140 --> 00:20:07,380
+عنده ال N وفي عكسها M G Cos الزاوية هذا بيساوي
+
+235
+00:20:07,380 --> 00:20:11,260
+Zero لان مافيش حركة عنده في اتجاه ال Y يعني القوة
+
+236
+00:20:11,260 --> 00:20:17,280
+اللي مالها ضارط على مين على بلاي منها ال Nبتساوي M
+
+237
+00:20:17,280 --> 00:20:20,660
+G Cos زوجي و ليش ده غيرت على ال M هو طالب ال
+
+238
+00:20:20,660 --> 00:20:24,420
+acceleration بس أنا روحت من البداية حسبت ال M و
+
+239
+00:20:24,420 --> 00:20:31,100
+طلعت قيمتها ليش لأنها تلزمني كمان شوية في ايش في
+
+240
+00:20:31,100 --> 00:20:35,160
+ال FK مش بتساوي ميو كي في ال normal force إذا ال
+
+241
+00:20:35,160 --> 00:20:39,040
+normal force لازم أكون محدد قيمتها حتى أعوض عنها
+
+242
+00:20:39,040 --> 00:20:43,100
+عن ال friction force و أجيب قيمة ال friction force
+
+243
+00:20:43,450 --> 00:20:47,590
+بعدين ال summation لل force في اتجاه ال Y .. ال X
+
+244
+00:20:47,590 --> 00:20:57,790
+بتساوي M في Ax ايش في اندي قوة في اتجاه ال X؟ عندي
+
+245
+00:20:57,790 --> 00:21:00,410
+مع ال acceleration الجسم بنزل لتحت، هاي ال
+
+246
+00:21:00,410 --> 00:21:03,970
+acceleration عندي MG SIN الزاوية مع ال
+
+247
+00:21:03,970 --> 00:21:11,530
+acceleration، اذا ال MG SIN الزاوية وعكسها ناقص FK
+
+248
+00:21:13,370 --> 00:21:19,130
+عكس الخراكة حطيتها بإشارة مالها سالمة اذا M في AX
+
+249
+00:21:19,130 --> 00:21:25,910
+بتساوي MG SIN الزاوية ناقص ال FK ايش بدي اعوض
+
+250
+00:21:25,910 --> 00:21:32,750
+محلها بدي اعوض محلها لميو K في ال normal force طب
+
+251
+00:21:32,750 --> 00:21:39,470
+ال normal force جدش هي قيمتها سوى MG يسوى ل MG SIN
+
+252
+00:21:39,470 --> 00:21:48,150
+الزاوية ناقصميو ك في م جي كو صين ثيتا وهذا بيساوي
+
+253
+00:21:48,150 --> 00:21:54,310
+ام في اكس لاحظوا في اندي ام وام وام بقدر اجيبهم
+
+254
+00:21:54,310 --> 00:21:57,750
+واطلع قيمة ال acceleration اللي في اتجاه ال X اللي
+
+255
+00:21:57,750 --> 00:22:02,290
+انا خدت المحاور زي ما هي مرسوم عندى هناك ساوي جي
+
+256
+00:22:02,290 --> 00:22:03,150
+صين الزاوية
+
+257
+00:22:25,850 --> 00:22:27,670
+الاسم المطلوب التاني
+
+258
+00:22:34,590 --> 00:22:39,510
+if the block start
+
+259
+00:22:39,510 --> 00:22:47,730
+from rest، بدأ من السكون، يعني V0 بتساوي Zero له،
+
+260
+00:22:47,730 --> 00:22:54,690
+من وين؟ at the top of the plane، find the velocity
+
+261
+00:22:54,690 --> 00:23:01,370
+afterلما ايش بعد ما ينزلت distance مسافة جديش
+
+262
+00:23:01,370 --> 00:23:10,310
+قمتها دي يعني لما ينزل هنا مسافة دي جديش السرعة
+
+263
+00:23:10,310 --> 00:23:14,410
+النهائية بدي اوجد السرعة النهائية طبعا بطبق اللي
+
+264
+00:23:14,410 --> 00:23:17,510
+هي قوانين الحركة قوانين الحركة اللي موجود عنده
+
+265
+00:23:17,510 --> 00:23:21,350
+اللي هو V تربيع الأخير اللي فيه ياتان ياتان التاني
+
+266
+00:23:21,350 --> 00:23:26,920
+فيه timeوالثالث في الـ displacement الـ
+
+267
+00:23:26,920 --> 00:23:31,320
+displacement عند قيمتها الـ D إذا بقول V تربيع V
+
+268
+00:23:31,320 --> 00:23:35,140
+final تربيع بالساوية V not تربيع زائد اتنين A في
+
+269
+00:23:35,140 --> 00:23:44,820
+الـ X هتسوي ل V تربيع V not بتساوية Zero بيظل عنده
+
+270
+00:23:44,820 --> 00:23:50,340
+اتنين A في الـ D ومنها الـ A طلعت قيمتها وحسبتها
+
+271
+00:23:51,030 --> 00:23:57,610
+قبل شوية ماقدر اقول الفيه final هاي قيمتها تعويض
+
+272
+00:23:57,610 --> 00:24:01,270
+مباشر في شاية مشكلة طب قبل ما انا ااخد المثال هذا
+
+273
+00:24:01,270 --> 00:24:07,170
+اخليه لمحاضرة الجاي بس قبل ناخد مثال اللي انا قلته
+
+274
+00:24:07,170 --> 00:24:17,330
+قبل شوية اللي هو هاي سطح مائل بزاوية ثيتا حط الجسم
+
+275
+00:24:18,250 --> 00:24:22,450
+هذا الجسم كتل تعب و أنا مش عارف هذا الجسم بده
+
+276
+00:24:22,450 --> 00:24:28,490
+ينزلق ولا بدوش ينزلق السؤال بيقول لى متى بده ينزلق
+
+277
+00:24:28,490 --> 00:24:31,930
+هذا الجسم عند أي زاوية بده ينزلق هذا الجسم او
+
+278
+00:24:31,930 --> 00:24:37,650
+اكتئاش بده ينزلق هذا الجسم اول حاجة ايش بتدرسهم ال
+
+279
+00:24:37,650 --> 00:24:43,550
+Mg هو اللي بحللها بنفس الكيفية Mg Cos هنا ثيتا لإن
+
+280
+00:24:43,550 --> 00:24:52,850
+الزاوية هذه ثيتا وهنا Mgصين ثيتا هنا حيكون عنده F
+
+281
+00:24:52,850 --> 00:25:01,370
+S وبده اروح احسب احسب F S maximum كمان احسب F S
+
+282
+00:25:01,370 --> 00:25:07,990
+maximum اذا اول حاجة بده احسب F S maximum و هنا في
+
+283
+00:25:07,990 --> 00:25:13,010
+عند ال normal force بتساوي M U S في ال normal
+
+284
+00:25:13,010 --> 00:25:22,000
+force وتساوي لي M U Sفى mg cos θ هذا ال F أس
+
+285
+00:25:22,000 --> 00:25:27,180
+maximum إذا
+
+286
+00:25:27,180 --> 00:25:32,400
+الشرط أساسي حتى ينزلق الجسم لازم تكون mg sin
+
+287
+00:25:32,400 --> 00:25:36,500
+الزاوية أكبر من F أس maximum اللى أنا حسبتها إذا
+
+288
+00:25:36,500 --> 00:25:48,050
+لازم يكون F اللى هى mg sin θ بتساويميو اس في مج
+
+289
+00:25:48,050 --> 00:25:53,050
+كسين الثيتا وليش قلت بتسويها لأنه إذا جبت اللي
+
+290
+00:25:53,050 --> 00:25:59,950
+بتسويها بقول أكبر منها يعني ال MG مع ال MG أشمالها
+
+291
+00:25:59,950 --> 00:26:04,590
+بتروح مضالك سين الثيتا بيساوي ميو اس إيش في كسين
+
+292
+00:26:04,590 --> 00:26:12,920
+الثيتا لذا بقدر أقول تاني الثيتا بتساوي ميو اسلذن
+
+293
+00:26:12,920 --> 00:26:16,520
+لو انا عشت ال US بقدر اطلع ال theta و بعد ما اطلع
+
+294
+00:26:16,520 --> 00:26:21,500
+ال theta بقول ال theta لازم تكون اكبر من ال theta
+
+295
+00:26:21,500 --> 00:26:25,480
+تبع ال S لذن لو سميتها S هنا بقول ال theta اللي
+
+296
+00:26:25,480 --> 00:26:32,510
+لازم تكون عنده قيمتها لازم تكون اكبر من theta Sحتى
+
+297
+00:26:32,510 --> 00:26:36,910
+اعرف بروح زودت كل ما تزود الزاوية في احتمالية
+
+298
+00:26:36,910 --> 00:26:40,750
+الانزلاق اكتر لما يصير رأسيا لو كان عيندي رأسيا
+
+299
+00:26:40,750 --> 00:26:44,850
+بهذا الشكل ايش القوة اللي بتأثر عليه نجي للمساحة
+
+300
+00:26:44,850 --> 00:26:51,810
+هنا ضغط عليها وين ال Fs اتجاهها جسمه ضغط عليه طبعا
+
+301
+00:26:51,810 --> 00:27:02,400
+اول حاجة الى اسفل في عيندي ال M G الى اعلىفي عند
+
+302
+00:27:02,400 --> 00:27:06,600
+ال F اللي هي ال friction force frictional force
+
+303
+00:27:06,600 --> 00:27:11,400
+ايش نوعها يا static يا كائنة كزي ينزلها اذا هنا
+
+304
+00:27:11,400 --> 00:27:19,420
+عندي ال F عندي كمان ال normal انا ضاغط بقوة F
+
+305
+00:27:19,420 --> 00:27:24,580
+عكسها بيكون في عند هنا normal force اتجاهها لوين
+
+306
+00:27:24,580 --> 00:27:28,740
+للخارج اذا كأنه في كمان normal force بهذا الاتجاه
+
+307
+00:27:30,150 --> 00:27:48,470
+هل الجسم متحرك ولا لأ لازم احسب fs ايش maximum اذا
+
+308
+00:27:48,470 --> 00:27:51,530
+طلعت ال m g اكبر منها بنزلق الجسم بنزلق
+
+309
+00:27:54,950 --> 00:27:59,110
+بنزلقش بيظلوا ساكن لكن هل ال Fs في هذا الحالة إذا
+
+310
+00:27:59,110 --> 00:28:04,670
+ما انزلقش قداش بتكون قيمتها بتكون ال Fs بتساوي مين
+
+311
+00:28:04,670 --> 00:28:09,590
+ال applied ال applied امشي إذا ما انزلقش إذا ال Fs
+
+312
+00:28:09,590 --> 00:28:14,530
+بتساوي مين إذا كان ساكن في أي حالة بياخد قيمته من
+
+313
+00:28:14,530 --> 00:28:20,110
+zero لقداش ل Fs maximum أي قوة في هذا الحالة بيكون
+
+314
+00:28:20,110 --> 00:28:27,110
+بيساوي ال applied ال Fs بتكون بتساوي F appliedو في
+
+315
+00:28:27,110 --> 00:28:31,410
+أي حالة بدي أحسب Fs maximum إذا ال applied force
+
+316
+00:28:31,410 --> 00:28:36,430
+أقل منها ال Fs بيساوى ال applied و بيكون لما أصل
+
+317
+00:28:36,430 --> 00:28:40,410
+ال applied force ساوة ال Fs maximum بيكون الجسم
+
+318
+00:28:40,410 --> 00:28:46,470
+على وشك التحرك أكبر منها ببدأ يتحرك هذا الجسم عشان
+
+319
+00:28:46,470 --> 00:28:49,210
+يعطيكم العافية و بكمل في المحاضرة الجاي
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/XkUur5FrU4k.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/XkUur5FrU4k.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e7b577f0ce05945d96f7015b0c09c333e54d3a30
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/XkUur5FrU4k.srt
@@ -0,0 +1,1358 @@
+1
+00:00:05,230 --> 00:00:09,350
+السلام عليكم و يعطيكم العافية إن شاء الله اليوم
+
+2
+00:00:09,350 --> 00:00:12,630
+هنكمل chapter  .. هنبدأ في chapter أربعة
+
+3
+00:00:12,630 --> 00:00:19,010
+أربعة طبعا بتكلم عن the newtons law of motion طبعا
+
+4
+00:00:19,010 --> 00:00:23,330
+chapter أربعة هنلاقي فيه مصطلحات جديدة هنلاقي فيه
+
+5
+00:00:23,330 --> 00:00:27,910
+كميات فيزيائية جديدة أول هذه الكميات الفيزيائية
+
+6
+00:00:27,910 --> 00:00:31,850
+اللي هنلاقيها في chapter أربعة اللي هي الـ force
+
+7
+00:00:31,850 --> 00:00:40,410
+إذا لما أقول الـ force، الـ force when a body affects a
+
+8
+00:00:40,410 --> 00:00:45,210
+second body لو فينا جسم أثر على جسم ثاني تأثيره
+
+9
+00:00:45,210 --> 00:00:50,870
+على الجسم الثاني بنقول the first body exerts a
+
+10
+00:00:50,870 --> 00:00:55,230
+force on the second يعني الأولاني أثر على الثاني
+
+11
+00:00:55,230 --> 00:01:00,250
+بقوة أي جسمين كانوا واحد أثر على الثاني أيا كان
+
+12
+00:01:00,250 --> 00:01:05,310
+هذا التأثير فالأول بيأثر على الثاني بقوة هذه هي
+
+13
+00:01:05,310 --> 00:01:12,430
+القوة طبعا إحنا لو نرجع لمعلوماتنا السابقة أن أي
+
+14
+00:01:12,430 --> 00:01:18,200
+جسم ساكن مثلا كان ساكن أو متحرك إذا بدي هذا الجسم
+
+15
+00:01:18,200 --> 00:01:24,500
+أحركه بدي أثر عليه بقوة لو كان متحرك بدي أثر عليه
+
+16
+00:01:24,500 --> 00:01:31,120
+بقوة حتى أوقفه إذا حتى أغير حالته من السكون أو
+
+17
+00:01:31,120 --> 00:01:36,500
+الحركة لازم إيش أعمل؟ أثر عليه بقوة إذا القوة هي
+
+18
+00:01:36,500 --> 00:01:42,880
+إيش بتعمل للجسم؟ بتغير من حالته، changes its state of
+
+19
+00:01:42,880 --> 00:01:49,740
+uniform motion من حركة منتظمة إلى أو rest، الـ
+
+20
+00:01:49,740 --> 00:01:54,100
+force فيه أنواع من الـ force، الـ force إلها نوعين
+
+21
+00:01:54,100 --> 00:02:01,280
+إما الـ force تكون contact force أو a field force
+
+22
+00:02:01,280 --> 00:02:06,240
+يعني contact force فيه إندقوا جسمين وصار بينهم
+
+23
+00:02:06,240 --> 00:02:13,570
+تلامس هذه القوة أثرت مباشرة من خلال ملامسة هذا الجسم
+
+24
+00:02:13,570 --> 00:02:17,950
+الأول أو الجسم الثاني، الجسم الأول لامس الجسم
+
+25
+00:02:17,950 --> 00:02:24,470
+الثاني لكن أحيانا القوة هذه بتكون ناشئة من مجال
+
+26
+00:02:24,470 --> 00:02:28,210
+يعني أنا ما بعرف في عندي مجال الجاذبية الأرضية هذا
+
+27
+00:02:28,210 --> 00:02:32,790
+الجسم يتأثر بمجال الجاذبية الأرضية، هل في تلامس؟ لا
+
+28
+00:02:32,790 --> 00:02:37,940
+مثال آخر لو في عندي أنا مغناطيس، في عندي
+
+29
+00:02:37,940 --> 00:02:43,080
+مغناطيس الأول ومجال المغناطيس أو قطعة حديد إذا
+
+30
+00:02:43,080 --> 00:02:48,160
+وقعت القطعة الحديد في مجال المغناطيس تتأثر بقوة،
+
+31
+00:02:48,160 --> 00:02:52,380
+لكن حتى بدون تلامس، فلقت انسحبت أو تأثرت باتجاه
+
+32
+00:02:52,380 --> 00:02:58,100
+انسحبت في اتجاه المغناطيس هذا مجال مغناطيسي أو مجال
+
+33
+00:02:58,100 --> 00:03:03,360
+كهربائي يؤثر على الجسم بدون ملامسة، مجال موجود، مجال
+
+34
+00:03:03,360 --> 00:03:09,340
+الجاذبية موجود، بتأثر هذا الجسم بمجال الجاذبية، إذا
+
+35
+00:03:09,340 --> 00:03:13,850
+للقوة عنده نوعين: يا إما contact force والـ contact
+
+36
+00:03:13,850 --> 00:03:19,470
+force بيصير فيها ملامسة physical contact أو field
+
+37
+00:03:19,470 --> 00:03:25,450
+force والـ field force بيصير عنده بدون .. بدون
+
+38
+00:03:25,450 --> 00:03:29,490
+اتصال بين إيش؟ بين الجسمين وأمثلة عليها
+
+39
+00:03:29,490 --> 00:03:34,750
+gravitational force أو magnetic force أو electric
+
+40
+00:03:34,750 --> 00:03:39,150
+force طبعا إحنا بنتكلم الآن على الـ force، الـ force
+
+41
+00:03:39,150 --> 00:03:44,190
+هي كمية physical quantity، طيب physical quantity
+
+42
+00:03:44,190 --> 00:03:48,350
+إحنا جسمناهم جسمين، قلت يا إما scalar يا إما
+
+43
+00:03:48,350 --> 00:03:52,570
+vector، الـ force في هذا الحال عبارة عن إيش؟ vector
+
+44
+00:03:52,570 --> 00:03:58,410
+quantity لذا لما أقول force كأني بقول physical
+
+45
+00:03:58,410 --> 00:04:05,190
+quantity كمية فيزيائية لكن vector، طيب vector
+
+46
+00:04:05,190 --> 00:04:10,970
+quantity، الوحدة المستخدمة لقياسها زي ما أنتم
+
+47
+00:04:10,970 --> 00:04:16,950
+عارفين لنيوتن طبعا، لنيوتن هو اسم عالم، لنيوتن لكن
+
+48
+00:04:16,950 --> 00:04:21,870
+هي مشتقة، إحنا قلنا جميع الوحدات تشتق من ثلاث وحدات
+
+49
+00:04:21,870 --> 00:04:32,950
+أساسية اللي هي kilogram وطول متر و time، هلاقي من
+
+50
+00:04:32,950 --> 00:04:38,100
+النيوتن لما نجي نقيسها الآن ورمزها بالنيوتن فيها
+
+51
+00:04:38,100 --> 00:04:43,600
+kilogram وفي عندي متر وفي second، إذا اللي نيوتن
+
+52
+00:04:43,600 --> 00:04:52,420
+واحد نيوتن يساوي kilogram في متر على second square زي
+
+53
+00:04:52,420 --> 00:04:55,340
+الواحد نيوتن عبارة عن كيلو جرام متر على second
+
+54
+00:04:55,340 --> 00:05:00,540
+square وحنشوفها لما نشوف الصيغة الرياضية للـ force
+
+55
+00:05:00,540 --> 00:05:03,840
+أو كيف أنا بدي أعرف الـ force أو أحسب الـ force من
+
+56
+00:05:03,840 --> 00:05:07,060
+أي معادلات موجودة عندي، حلاقي لما أحط المعادلة
+
+57
+00:05:07,060 --> 00:05:12,680
+حلاقي فيها kilogram اللي هو عبارة عن mass، متر
+
+58
+00:05:12,680 --> 00:05:17,640
+عبارة عن طول و second عبارة عن time square ولو
+
+59
+00:05:17,640 --> 00:05:21,340
+جينا نطلع عليها قبل ما نكمل إحنا هنلاقي الـ kilogram
+
+60
+00:05:21,340 --> 00:05:25,460
+mass، متر على second square يعني عبارة عن
+
+61
+00:05:25,460 --> 00:05:30,060
+acceleration إذا الـ force هيكون قانونها كأنه متر
+
+62
+00:05:30,060 --> 00:05:35,560
+في مين؟ في acceleration، طبعا إحنا في عندنا يا إما إذا
+
+63
+00:05:35,560 --> 00:05:38,620
+استخدمت الـ kilogram أو استخدمت الـ gram، الـ
+
+64
+00:05:38,620 --> 00:05:41,660
+centimeter، الـ second، gram و centimeter و second
+
+65
+00:05:41,660 --> 00:05:45,580
+بيطلع الوحدة المستخدمة اللي هي الـ dyne إذا الـ dyne
+
+66
+00:05:45,580 --> 00:05:50,300
+في علاقة طبعا، علاقتها بـ dyne للـ newton
+
+67
+00:05:50,300 --> 00:05:54,680
+علاقتها، لو جيت أحول الـ kilogram عندي، الـ kilogram
+
+68
+00:05:54,680 --> 00:06:02,840
+لما أحوله بيطلع ألف gram، المتر عبارة عن مئة سنتيمتر
+
+69
+00:06:02,840 --> 00:06:13,440
+السكن زي ما هي إذا بيصير عندي ألف جرام سنتيمتر على
+
+70
+00:06:13,440 --> 00:06:20,160
+second square هذه الـ dyne
+
+71
+00:06:28,030 --> 00:06:39,750
+أو بعمل إزاحة للفاصلة بقدر خمس خانات، نيجي
+
+72
+00:06:39,750 --> 00:06:43,890
+نتكلم عن الـ Newton's first law أول حاجة بيقول
+
+73
+00:06:43,890 --> 00:06:48,010
+الشابتر هذا نيوتن وإذا اتكلمت على القوة بتكلم
+
+74
+00:06:48,010 --> 00:06:53,430
+مباشرة على مين؟ على قوانين نيوتن الثلاثة، طبعا قوانين
+
+75
+00:06:53,430 --> 00:06:58,330
+نيوتن الثلاثة مرت عليكم، أول قانون اللي هم بيسموه
+
+76
+00:06:58,330 --> 00:07:02,450
+the first law إذا ذكروا القانون نيوتن الأول
+
+77
+00:07:02,450 --> 00:07:09,510
+حتقولونه مباشرة، الجسم أي object بيضل على نفس
+
+78
+00:07:09,510 --> 00:07:15,310
+الحالة يا إما حركة يا إما سكون، الـ statement لها
+
+79
+00:07:16,440 --> 00:07:23,580
+rest أو uniform motion until حتى يتم تأثير قوة
+
+80
+00:07:23,580 --> 00:07:30,450
+عليه، هذه القوة شو بتعمل؟ بتغير في مين؟ في حالته، قوة
+
+81
+00:07:30,450 --> 00:07:33,530
+خارجية إذا أثرت على الجسم بتغير في حالته، إذا
+
+82
+00:07:33,530 --> 00:07:37,210
+كنتوا تقولوا يبقى الجسم على حالته من السكون أو
+
+83
+00:07:37,210 --> 00:07:44,250
+الحركة ما لم تؤثر عليه قوة خارجية تغير من حالته،
+
+84
+00:07:44,250 --> 00:07:47,850
+يعني هذا الجسم ساكن، لازم تيجي قوة خارجية إيش
+
+85
+00:07:47,850 --> 00:07:52,790
+تعمل؟ تغير من حالته وتغيره من حالة سكون لحالة
+
+86
+00:07:52,790 --> 00:07:58,870
+حركة، طبعا الـ Newton's law بيسموها أو ممكن أقول أن
+
+87
+00:07:58,870 --> 00:08:02,570
+هي عبارة عن frame يعني في عندي الـ frame إيش هو؟
+
+88
+00:08:02,570 --> 00:08:06,130
+نقطة زي الـ frame في الـ x والـ y والـ z نقطة، نقطة
+
+89
+00:08:06,130 --> 00:08:10,850
+مرجع، نقطة مرجع، الـ Newton's law هو اللي بعتبره إيه؟
+
+90
+00:08:10,850 --> 00:08:16,670
+إذا كان في عندي acceleration، the first law بنسميه
+
+91
+00:08:16,670 --> 00:08:23,030
+inertia، inertia frame، Inertia frame، طيب في عندي
+
+92
+00:08:23,030 --> 00:08:28,710
+حاجتين الـ mass والـ inertia، إيش الفرق بينهم؟ الـ mass
+
+93
+00:08:28,710 --> 00:08:34,630
+من الـ inertia، طبعا الـ inertia هي property of matter
+
+94
+00:08:34,630 --> 00:08:39,950
+خاصية من خواص المادة، خاصية من خواص المادة زي أي
+
+95
+00:08:39,950 --> 00:08:44,230
+خاصية أنتم عارفينها زي درجة الحرارة طبعا هذه
+
+96
+00:08:44,230 --> 00:08:49,190
+خاصية من خواص المادة، لذا الـ inertia هي خاصية من
+
+97
+00:08:49,190 --> 00:08:56,010
+خواص المادة، مش بتعمل resist that change of state
+
+98
+00:08:56,010 --> 00:09:01,400
+of its state and mass is measured inertia يعني
+
+99
+00:09:01,400 --> 00:09:07,400
+العلاقة بين الـ inertia والـ mass، تعتبر الـ inertia
+
+100
+00:09:07,400 --> 00:09:15,280
+خاصية من خواص المادة، طبعا تقاس بمين؟ بالكتلة، الـ mass
+
+101
+00:09:15,280 --> 00:09:19,140
+طبعا إحنا عارفينها أنها scalar quantity، scalar
+
+102
+00:09:19,140 --> 00:09:24,740
+quantity، وحدة قياسها بالـ kilogram أو بالجرام تبعا
+
+103
+00:09:24,740 --> 00:09:31,850
+للـ system اللي أنا بستخدمه، طبعا في ملاحظة هنا في
+
+104
+00:09:31,850 --> 00:09:37,650
+عندي هنا difference، اختلاف بين الـ mass والـ weight
+
+105
+00:09:37,650 --> 00:09:46,130
+الـ mass كمية فيزيائية قياسية، أما الـ weight
+
+106
+00:09:46,130 --> 00:09:52,380
+كمية فيزيائية مالها؟ كمية فيزيائية متجهة، كمية فيزيائية
+
+107
+00:09:52,380 --> 00:09:58,120
+تعتبر قوة اتجاهها لو أنت بتأثر من الجاذبية، إذا الـ
+
+108
+00:09:58,120 --> 00:10:04,920
+mass عبارة عن عبارة عن كمية فيزيائية مقدارها ثابت و
+
+109
+00:10:04,920 --> 00:10:12,620
+مقداره واحد طن واحد طن everywhere لكن الـ weight
+
+110
+00:10:12,620 --> 00:10:18,530
+يختلف، الـ weight عبارة عن إيش؟ الوزن،  الوزن يساوي الكتلة في الـ
+
+111
+00:10:18,530 --> 00:10:25,290
+gravity، M G، لاحظوا أن الـ gravity قد تختلف باختلاف
+
+112
+00:10:25,290 --> 00:10:29,230
+المكان، إذا أنا طلعت لفوق الـ gravity بتبدأ مالها؟
+
+113
+00:10:29,230 --> 00:10:34,790
+تقل، في المناطق المرتفعة الـ gravity بتقل فيها، إذا الـ
+
+114
+00:10:34,790 --> 00:10:39,450
+gravity تختلف تبعا للارتفاع اللي موجود عندي من سطح
+
+115
+00:10:39,450 --> 00:10:43,750
+الأرض، إذا مباشرة إلها الـ weight بيختلف تبعا
+
+116
+00:10:43,750 --> 00:10:48,300
+للارتفاع، إذا الـ gravity اختلفت، يختلف الـ weight من
+
+117
+00:10:48,300 --> 00:10:53,980
+منطقة لمنطقة أخرى، نيجي الآن نتكلم على الـ second
+
+118
+00:10:53,980 --> 00:11:01,080
+law، الـ second law، مجموع
+
+119
+00:11:01,080 --> 00:11:08,420
+القوة اللي بتأثر على الجسم بتتناسب تناسبا طرديا مع
+
+120
+00:11:08,420 --> 00:11:11,060
+مين؟ مع الـ acceleration
+
+121
+00:11:13,390 --> 00:11:18,210
+التناسب لـ acceleration، direct proportional of net
+
+122
+00:11:18,210 --> 00:11:25,210
+force، وتتناسب عكسيا مع الـ mass، طبعا لما نيجي الـ
+
+123
+00:11:25,210 --> 00:11:31,150
+summation للـ force، طبعا لو أنا عندي أي جسم أثرت
+
+124
+00:11:31,150 --> 00:11:38,250
+عليه بمجموعة من القوة F1 F2 F3، مجموعة هذه القوة
+
+125
+00:11:38,250 --> 00:11:43,370
+المؤثرة على الجسم تساوي الـ mass الكتلة في مين؟ في
+
+126
+00:11:43,370 --> 00:11:49,190
+تسارع هذا الجسم، طبعا إحنا بنتكلم عن vector، إذا لما
+
+127
+00:11:49,190 --> 00:11:53,170
+يكون vector في عنده x component تساوي الـ vector
+
+128
+00:11:53,170 --> 00:11:56,790
+لازم الـ x component مع الـ x component والـ y
+
+129
+00:11:56,790 --> 00:11:59,190
+component، الـ summation للـ force في الـ y component
+
+130
+00:11:59,190 --> 00:12:04,410
+بيساوي الـ summation للـ m في الـ a في الـ y، وكذلك الـ
+
+131
+00:12:04,410 --> 00:12:07,290
+summation للـ force في الـ z component بيساوي الكتلة
+
+132
+00:12:07,290 --> 00:12:13,670
+في التسارع اللي في اتجاه الـ z، نيجي
+
+133
+00:12:13,670 --> 00:12:14,730
+للقانون الثالث
+
+134
+00:12:17,300 --> 00:12:22,800
+بيقول every action there is an equal but opposite
+
+135
+00:12:22,800 --> 00:12:28,640
+reaction يعني لكل فعل في رد فعل، وفي عندي حاجة إيش؟ رد
+
+136
+00:12:28,640 --> 00:12:36,220
+فعل، لكل فعل لكل فعل رد فعل، ماله؟
+
+137
+00:12:36,220 --> 00:12:40,980
+مساوٍ له في المقدار، طيب مساوٍ له في المقدار لكن
+
+138
+00:12:40,980 --> 00:12:48,230
+اتجاهه وين؟ لو أنا جبت الدبوس وضغطت عليه بيدي، أنا
+
+139
+00:12:48,230 --> 00:12:52,850
+بضغط على الدبوس لكن بهذا الاتجاه، الدبوس before في
+
+140
+00:12:52,850 --> 00:12:58,430
+مين؟ في الاتجاه إيش؟ المعاكس، أو إبرة، الإبرة ضغطت
+
+141
+00:12:58,430 --> 00:13:02,910
+عليها بهذا الاتجاه، الإبرة مالها؟ بتغرز في إيدي في
+
+142
+00:13:02,910 --> 00:13:07,800
+الاتجاه المعاكس، هذا فعل واحد action والثاني ماله؟
+
+143
+00:13:07,800 --> 00:13:12,920
+reaction والثاني مالهم؟ متساويين في القيمة، كل ما
+
+144
+00:13:12,920 --> 00:13:17,600
+كان الضغط أكثر كل ما كان رد الفعل إيش ماله؟ أكثر
+
+145
+00:13:17,600 --> 00:13:22,500
+إذا واحد action والثاني إيش؟ reaction، الاثنين الـ
+
+146
+00:13:22,500 --> 00:13:28,100
+action والـ reaction إيش؟ equal، واحد بسميه تأثير
+
+147
+00:13:28,100 --> 00:13:31,860
+الأول على الثاني والثاني تأثير الثاني على الأول
+
+148
+00:13:31,860 --> 00:13:37,710
+هذا الجسم مع هذا الجسم أثروا بقوة، هنا عندي F واحد
+
+149
+00:13:37,710 --> 00:13:42,750
+واحد على اثنين، واحد أثر على اثنين لكن الـ reaction
+
+150
+00:13:42,750 --> 00:13:48,890
+اثنين أثر على واحد معاكس له في الاتجاه، الـ action
+
+151
+00:13:48,890 --> 00:13:52,510
+بهذا الشكل، الـ reaction عكس الثاني متساويين في
+
+152
+00:13:52,510 --> 00:13:57,410
+القيمة لكن اتجاههم إيش؟ هذا force vector
+
+153
+00:14:15,630 --> 00:14:22,730
+الاتجاه متعاكس، طيب كمان مرة، ببدأ أُعيد، لكل فعل رد فعل
+
+154
+00:14:22,730 --> 00:14:26,810
+مساوٍ له في المقدار ومعاكس له في الاتجاه، وببدأ أقول
+
+155
+00:14:26,810 --> 00:14:31,210
+ويؤثر على الجسم الآخر، إذا الـ action والـ reaction
+
+156
+00:14:31,210 --> 00:14:36,190
+كل واحد بيأثر على مين؟ على جسم، واحد أثر على
+
+157
+00:14:36,190 --> 00:14:41,430
+اثنين، اثنين أثر على مين؟ على واحد، واثنين ما لهم؟
+
+158
+00:14:41,430 --> 00:14:46,900
+متساويين في القيمة ومتعاكسين في الاتجاه، في حاجة
+
+159
+00:14:46,900 --> 00:14:51,360
+بتلزمني دائما في حل المسائل أو في معرفة القوة اللي
+
+160
+00:14:51,360 --> 00:14:55,700
+بتأثر على الجسم اللي بسميها الـ free body diagram
+
+161
+00:14:55,700 --> 00:15:01,660
+الـ free body diagram هو رسم diagram لمين؟ لجميع
+
+162
+00:15:01,660 --> 00:15:08,320
+القوة، all the forces acting on the body، أي جميع
+
+163
+00:15:08,320 --> 00:15:13,540
+القوة اللي بتأثر على الجسم، بدي إيش أعمل؟ بدي أرسمها
+
+164
+00:15:13,540 --> 00:15:18,780
+على هذا الجسم، يعني أنا بدي أدرس هذا القلم اللي
+
+165
+00:15:18,780 --> 00:15:24,300
+موجود على الطاولة، بدي أرسم جميع القوة المؤثرة على
+
+166
+00:15:24,300 --> 00:15:26,800
+هذا الجسم، طب الطاولة بتلزمني أرسم القوة المؤثرة
+
+167
+00:15:26,800 --> 00:15:30,200
+عليها؟ لا، أنا ما زلت بدي أدرس القلم، ما ليش علاقة
+
+168
+00:15:30,200 --> 00:15:35,290
+بالطاولة، لكن اللي علاقة بتأثير الطاولة على مين؟ على
+
+169
+00:15:35,290 --> 00:15:39,050
+القلم، إذا في قوة بتأثر من الطاولة على القلم،
+
+170
+00:15:39,050 --> 00:15:42,830
+بتلزمني، لكن من القلم على الطاولة، أنا ما زلت ما
+
+171
+00:15:42,830 --> 00:15:46,650
+درستش الطاولة، إيش؟ ما ليش علاقة، ما برسمهاش، إذا
+
+172
+00:15:46,650 --> 00:15:50,750
+برسم جميع القوة المؤثرة على إيش؟ على هذا الجسم،
+
+173
+00:15:50,750 --> 00:15:55,870
+جميع القوة المؤثرة على هذا الجسم، وما ليش علاقة في
+
+174
+00:15:55,870 --> 00
+
+223
+00:20:16,210 --> 00:20:21,250
+ونحلها ونشوف كيف أنا بأطبق هذه المواضيع الكلام
+
+224
+00:20:21,250 --> 00:20:29,490
+اللي أنا قلته أول حاجة، السؤال بيقول: في عندي جسم
+
+225
+00:20:32,950 --> 00:20:39,090
+كتلته ثلاثة كيلو جرام موجود على horizontal smooth
+
+226
+00:20:39,090 --> 00:20:45,770
+surface، سطح أملس، طبعاً سطح أملس كمان شوية
+
+227
+00:20:45,770 --> 00:20:50,930
+هيجينا rough surface، سطح خشن. السطح الخشن فيه قوة ثانية
+
+228
+00:20:50,930 --> 00:20:54,690
+هناخدها في نهاية هذه الشُربة. لذا أنا بتكلم في مسائل
+
+229
+00:20:54,690 --> 00:20:58,930
+اللي هتمر علينا الآن، مش هأطرق فيها للسطح الخشن، أنا
+
+230
+00:20:58,930 --> 00:21:03,630
+فقط هأتكلم كله على السطح الأملس. لذا في عندي سطح
+
+231
+00:21:03,630 --> 00:21:10,310
+أملس عليه صندوق أو جسم أو block، وزنه أو كتلته آسف،
+
+232
+00:21:10,310 --> 00:21:15,130
+كتلته ثلاثة كيلو جرام، أثرت عليه بقوة، الـ force جداش
+
+233
+00:21:15,130 --> 00:21:22,520
+قيمتها بتساوي سحبته الـ box بقوة horizontal with a
+
+234
+00:21:22,520 --> 00:21:28,260
+force، قيمتها اثنين نيوتن. إذا أثرت عليه القوة
+
+235
+00:21:28,260 --> 00:21:34,480
+قيمتها بتساوي اثنين نيوتن horizontal مع مستوى
+
+236
+00:21:34,480 --> 00:21:38,700
+السطح. أول خطوة إيش بدي أعمل؟ بدي أرسم الـ free قبل
+
+237
+00:21:38,700 --> 00:21:43,380
+ما أرسم، بدي آخد المحاور وأرسم الـ free body diagram للجسم
+
+238
+00:21:43,380 --> 00:21:47,220
+لو أنا قُلت متوقع يتحرك من الحركة، هذه الحركة في هذا
+
+239
+00:21:47,220 --> 00:21:51,580
+الاتجاه، إذا مباشرة بدي آخد اتجاه الـ X زي هيك
+
+240
+00:21:51,580 --> 00:21:59,400
+واتجاه الـ Y. هذا محور X ومحور Y. رقم اثنين، بدي أشوف
+
+241
+00:21:59,400 --> 00:22:02,340
+القوة المؤثرة على الجسم، إيش القوة المؤثرة على
+
+242
+00:22:02,340 --> 00:22:08,260
+الجسم؟ في عندي قوة قيمتها اثنين نيوتن، افس أو اثنين
+
+243
+00:22:08,260 --> 00:22:13,910
+نيوتن. في عندي أول حاجة الـ weight، وزن هذا الجسم إلى
+
+244
+00:22:13,910 --> 00:22:18,870
+أسفل، دائماً الوزن إلى أسفل. طبعاً أنواع القوة كثيرة
+
+245
+00:22:18,870 --> 00:22:24,110
+جداً، منها الوزن. قلنا الوزن كمان مرة لما قارنا بين
+
+246
+00:22:24,110 --> 00:22:29,270
+الـ math، قلنا الوزن هو force، اتجاهها لوين؟ دائماً
+
+247
+00:22:29,270 --> 00:22:34,550
+اتجاهها لوين؟ لأسفل. في عندنا هنا قانون نيوتن الثالث:
+
+248
+00:22:34,550 --> 00:22:40,190
+أنا ضغطت أو الجسم ضاغط على الطاولة، الطاولة... لو
+
+249
+00:22:40,190 --> 00:22:45,170
+كان في أي شيء... الطاولة شيء بتعمل، بترد فعل في
+
+250
+00:22:45,170 --> 00:22:51,230
+الاتجاه المعاكس. هاس في إيدي بالنتوءات أو بالطاولة
+
+251
+00:22:51,230 --> 00:22:55,030
+أو رد فعل الطاولة، لو كان في عندي إبر أو حاجة
+
+252
+00:22:55,030 --> 00:22:58,570
+ضغطت عليها أو دبابيس ضغطت عليها، الحاجة إيش مالها؟ رد
+
+253
+00:22:58,570 --> 00:23:02,730
+فعل، وإن هذا action... action هو ضغط على الطاولة،
+
+254
+00:23:02,730 --> 00:23:07,720
+ماليش علاقة فيه، لكن فيه إيش؟ reaction force اللي هي
+
+255
+00:23:07,720 --> 00:23:11,660
+بنسميها الـ normal force، وناشئة من وين؟ الـ normal
+
+256
+00:23:11,660 --> 00:23:16,800
+force من السطح على الجسم، من نقطة التلامس بين السطح
+
+257
+00:23:16,800 --> 00:23:20,440
+الأول والسطح الثاني، بين الـ box وبين إيش؟ السطح
+
+258
+00:23:20,440 --> 00:23:23,360
+اللي موجود عندك، السطح الأملس. لذا هنا في الـ weight
+
+259
+00:23:23,360 --> 00:23:28,180
+ولاحظوا كمان نقطة، بقول الـ weight جبته من وين؟ إذا
+
+260
+00:23:28,180 --> 00:23:34,540
+كان عندي شكل منتظم، بيكون الـ weight من مركزه. هذا
+
+261
+00:23:34,540 --> 00:23:41,960
+الجسم. إذا الوزن لأسفل MG، في عندنا normal force ناشئ
+
+262
+00:23:41,960 --> 00:23:47,040
+من السطح.  في عندنا قوى أثرت فيها، وما أنساش أنه بدي آخذ
+
+263
+00:23:47,040 --> 00:23:51,620
+اتجاه الموجب وين؟ اتجاه الموجب، الحركة المتوقعة، هذه
+
+264
+00:23:51,620 --> 00:23:55,400
+الـ acceleration، إذا هذا هو اتجاه الموجب، المحاور
+
+265
+00:23:55,400 --> 00:24:00,980
+ممكن أشيلها لأن أصبح عارف المحاور. عندي محور X زي
+
+266
+00:24:00,980 --> 00:24:06,560
+هيك، آخذ اتجاه الموجب، وهذه الـ Y. كُتبنا الصميشن للفورس
+
+267
+00:24:06,560 --> 00:24:11,800
+في اتجاه الـ X بيساوي M في AX، وما أنساش أقول
+
+268
+00:24:11,800 --> 00:24:19,300
+الصميشن للفورس في اتجاه الـ Y بيساوي M في AY، لأن في
+
+269
+00:24:19,300 --> 00:24:26,530
+عندي X، محور X، وفي عندي محور Y. مجموع القوة التي في
+
+270
+00:24:26,530 --> 00:24:36,830
+اتجاه الـ X، مجموع القوة التي في اتجاه الـ X، مجموع
+
+271
+00:24:36,830 --> 00:24:40,390
+القوة
+
+272
+00:24:40,390 --> 00:24:47,350
+التي في اتجاه الـ X. الكتلة أعطاني إياها ثلاثة، الـ mass
+
+273
+00:24:47,350 --> 00:24:51,390
+في الـ acceleration AX اللي أنا بدور عليها. طبعاً هو
+
+274
+00:24:51,390 --> 00:24:54,850
+قال لي: find the acceleration of the box، بدأ أوجد
+
+275
+00:24:54,850 --> 00:24:58,990
+الـ acceleration للـ box. إذا الـ AX بيساوي ثلاثة A
+
+276
+00:24:58,990 --> 00:25:03,850
+ومنها بقدر أطلع الـ A واتجاهها لوين؟ في اتجاه الـ X
+
+277
+00:25:03,850 --> 00:25:08,090
+زي ما أنا حددتها، بيساوي اثنين على ثلاثة متر على الـ
+
+278
+00:25:08,090 --> 00:25:13,610
+second square. لو جئت في اتجاه الـ Y، هل الجسم متوقعين
+
+279
+00:25:13,610 --> 00:25:17,370
+يطلع فوق أو ينزل لتحت؟ لا، هذا الجسم، حطيته على
+
+280
+00:25:17,370 --> 00:25:23,430
+الطاولة. الجسم في اتجاه الـ Y ماله؟ ما بيتحركش، لا، ليه؟
+
+281
+00:25:23,430 --> 00:25:27,630
+acceleration لفوق ولا acceleration لوين؟ لتحت، لكن في
+
+282
+00:25:27,630 --> 00:25:31,270
+اتجاه... بتحرك في اتجاه مين؟ القوة في اتجاه الـ X،
+
+283
+00:25:31,270 --> 00:25:35,550
+لذا الـ acceleration هنا قيمتها كم؟ صفر، لذا بقدر
+
+284
+00:25:35,550 --> 00:25:39,450
+أقول مجموع القوة بتساوي صفر. إيش في عندي قوة؟ في
+
+285
+00:25:39,450 --> 00:25:44,780
+محور موجب ولا تحت، إيه إيش سالب؟ إذا بقدر أقوله لأن
+
+286
+00:25:46,240 --> 00:25:51,060
+بالموجب، سالب الـ mg. من هذه العلاقة بقدر أقول الـ
+
+287
+00:25:51,060 --> 00:25:56,920
+normal force قيمتها بتساوي الـ mg. واحد فعل
+
+288
+00:25:56,920 --> 00:26:01,900
+و الثاني مالها؟ رد فعل. إذا الـ normal force، الـ normal
+
+289
+00:26:01,900 --> 00:26:05,880
+force، طبعاً الرمز لها بالرمز N، الـ normal force
+
+290
+00:26:05,880 --> 00:26:10,400
+اللي هي قوة التلامس العمودية، قوة التلامس بين
+
+291
+00:26:10,400 --> 00:26:14,820
+السطحين العمودية. إذا هذا هو الـ normal force اللي
+
+292
+00:26:14,820 --> 00:26:22,360
+موجود عندنا، من السطح على الجسم، من السطح على الجسم.
+
+293
+00:26:22,360 --> 00:26:29,180
+بنسميها الـ normal force. نجي نأخذ مثال ثاني، لاحظوا
+
+294
+00:26:29,180 --> 00:26:38,480
+الأمثلة، تطبيقها بيكون سهل إذا
+
+295
+00:26:38,480 --> 00:26:39,520
+كانت في اتجاه واحد.
+
+296
+00:26:43,070 --> 00:26:49,250
+بنقول في عندي كتلتين، two masses، واحد M واحد
+
+297
+00:26:49,250 --> 00:26:56,890
+والثاني M اثنين. M، علاقات البكرة طبعاً
+
+298
+00:26:56,890 --> 00:27:01,410
+light string، يعني بنهمل الخيط وبنهمل الـ
+
+299
+00:27:01,410 --> 00:27:06,910
+friction اللي في البكرة. لكن بعد ذلك، هنجي نأخذ في
+
+300
+00:27:06,910 --> 00:27:09,830
+الحسبة اللي هو البكرة والـ friction اللي لها و
+
+301
+00:27:09,830 --> 00:27:14,510
+ندخله خلال الحسبة. M واحد أكبر من M اثنين. هذه M
+
+302
+00:27:14,510 --> 00:27:19,490
+واحد، و M اثنين. إيش متوقعين يصير عندها؟ متوقعين M
+
+303
+00:27:19,490 --> 00:27:25,790
+واحد تنزل لتحت، و M اثنين تطلع لفوق. هذا M اثنين،
+
+304
+00:27:25,790 --> 00:27:30,310
+السرعة اللي بتتحرك فيها M واحد واللي بتتحرك فيها
+
+305
+00:27:30,310 --> 00:27:35,410
+M اثنين. يعني لو قلنا M واحد نزلت بسرعة خمسة متر
+
+306
+00:27:35,410 --> 00:27:41,470
+بالثانية، M اثنين شمالها هتطلع بنفس السرعة، ليش؟
+
+307
+00:27:41,470 --> 00:27:45,430
+لأن هذا هيمشي متر، هذا هيمشي متر، هذا نفس الزمن،
+
+308
+00:27:45,430 --> 00:27:50,310
+وهذا نفس الزمن، إذا التغير في الإزاحة الموجود هنا
+
+309
+00:27:50,310 --> 00:27:53,690
+نفسه بالنسبة للزمن، هيساوي نفس التغير في الإزاحة
+
+310
+00:27:54,320 --> 00:27:58,680
+بالنسبة للزمن للجسم الثاني. الجسم الأول، تغير في
+
+311
+00:27:58,680 --> 00:28:03,560
+إزاحته بالنسبة للزمن بيساوي التغير في الإزاحة
+
+312
+00:28:03,560 --> 00:28:07,280
+بالنسبة للزمن للجسم الثاني. طيب الـ acceleration
+
+313
+00:28:07,280 --> 00:28:10,760
+اللي هنا والـ acceleration اللي هنا، طبعاً نفس الـ
+
+314
+00:28:10,760 --> 00:28:13,700
+issue، لأن الـ acceleration اللي هنا، حلقة بالفلسفة
+
+315
+00:28:13,700 --> 00:28:18,480
+بالسرعة. ففي هذه الحالة، الـ acceleration اللي هنا والـ
+
+316
+00:28:18,480 --> 00:28:24,480
+acceleration اللي هنا مع بعض متساويين. ليش أنا ذكرت
+
+317
+00:28:24,480 --> 00:28:28,140
+الـ acceleration؟ لأن الـ acceleration لها علاقة
+
+318
+00:28:28,140 --> 00:28:33,160
+تماماً بالـ force. بدي أرسم الـ free body diagram. ليش
+
+319
+00:28:33,160 --> 00:28:36,220
+أنا حطيت الـ acceleration؟ كمان مرة بقول، عشان آخذ
+
+320
+00:28:36,220 --> 00:28:39,800
+اتجاه الحركة، وآخذ اتجاه الحركة، والاتجاه الموجب، و
+
+321
+00:28:39,800 --> 00:28:43,960
+عكس الحركة الاتجاه السالب. هذا المحور اللي بدي آخده،
+
+322
+00:28:43,960 --> 00:28:47,160
+والمحور الثاني ماله؟ متعامد عليه. لكن المحور الثاني
+
+323
+00:28:47,160 --> 00:28:50,720
+ما بيلزمنيش الآن. ليش ما بيلزمنيش؟ لأن ما فيش قوة بتأثر
+
+324
+00:28:50,720 --> 00:28:52,700
+عليها الآن.
+
+325
+00:28:54,340 --> 00:28:59,620
+نجي للجسم الأول، أو واحد. في عندي من المنتصف هنا في
+
+326
+00:28:59,620 --> 00:29:05,100
+وزنه، أو واحد، الجسم اللي فوق عندي مربوط بخيط كأنه
+
+327
+00:29:05,100 --> 00:29:10,160
+واحد ماسك وساحبه إلى أعلى، اللي هو الشد T. لذا في
+
+328
+00:29:10,160 --> 00:29:14,100
+عندي قوة لأسفل اللي هو الـ weight، وفي عندي حاجة الـ
+
+329
+00:29:14,100 --> 00:29:19,670
+tension اللي هي الشد، tension إلى أعلى. نجي لـ M
+
+330
+00:29:19,670 --> 00:29:24,070
+اثنين، نفس الطريقة. M اثنين في الـ G إلى أسفل الـ
+
+331
+00:29:24,070 --> 00:29:28,710
+weight، وعندي الـ tension لوين؟ إلى أعلى. لذا هنا كان
+
+332
+00:29:28,710 --> 00:29:35,210
+فيه شد T وهنا كمان في T. طيب هذا الـ T لو أنا سألت
+
+333
+00:29:35,210 --> 00:29:42,390
+سؤال: مش كل فعل له رد فعل؟ وين؟ T مساوية لها تماماً و
+
+334
+00:29:42,390 --> 00:29:48,590
+معاكسة لها في الاتجاه. بتأثر على إيش؟ على البكرة، أو
+
+335
+00:29:48,590 --> 00:29:55,310
+على المنطقة هذه، في شد لتحت مساوٍ لها. طيب هنا، لا، فيه كمان T
+
+336
+00:29:55,310 --> 00:30:01,310
+هنا وهذا هندرسه في Chapter ثمانية بالتفصيل
+
+337
+00:30:01,310 --> 00:30:05,750
+وهيكون مختلفات، وهذا T واحد و T اثنين. واحد فعل
+
+338
+00:30:05,750 --> 00:30:10,890
+والثاني مالها؟ رد فعل. أي نقطة على الحبل هنا، في لها
+
+339
+00:30:10,890 --> 00:30:16,170
+نقطة، في Tension لأسفل وفي Tension لفوق، تمشي داخلها. لو كان
+
+340
+00:30:16,170 --> 00:30:20,070
+الـ tension يعني تقريباً الحبل، هيوم ما زال الحبل
+
+341
+00:30:20,070 --> 00:30:23,590
+مشدود، في شد بهذا الاتجاه وشُد بهذا الاتجاه. الثانية
+
+342
+00:30:23,590 --> 00:30:27,230
+متساويتان و مالها؟ متعاكستان.
+
+343
+00:30:28,200 --> 00:30:34,460
+نرجع للمسألة. T أعلى للجسم الأولاني، و T أعلى للجسم
+
+344
+00:30:34,460 --> 00:30:37,860
+الثاني. الحركة موجودة، هذه اتجاه الحركة، اتجاهها
+
+345
+00:30:37,860 --> 00:30:43,420
+الأسفل، وهذه اتجاه الحركة، هذه A وهذه A. بعد ما أرسم
+
+346
+00:30:43,420 --> 00:30:46,800
+الـ free body diagram لجميع القوى اللي بتأثر على
+
+347
+00:30:46,800 --> 00:30:50,220
+الجسم، بأجي أطبق قوانين الحركة، ولاحظوا الحركة
+
+348
+00:30:50,220 --> 00:30:54,680
+بتطبقها في اتجاه، من في اتجاه الـ Y، هذه اتجاه الـ Y
+
+349
+00:30:54,680 --> 00:30:59,280
+عنده فيه وهذه اتجاه الـ Y. نقول هنا الموجب، نأخذ
+
+350
+00:30:59,280 --> 00:31:05,480
+الجسم الأول موجب وهذا الجسم الثاني الموجب، يعني
+
+351
+00:31:05,480 --> 00:31:08,100
+الجسم الأول بدي أعمله معادلاته والجسم الثاني بدي
+
+352
+00:31:08,100 --> 00:31:13,500
+أعمله معادلاته. بدي آخذ للجسم الأول أقول summation
+
+353
+00:31:13,500 --> 00:31:15,380
+للـ force for M واحد
+
+354
+00:31:18,730 --> 00:31:23,650
+for M1، أنا بتكلم summation of force بتساوي M واحد في
+
+355
+00:31:23,650 --> 00:31:28,730
+الـ A. هذه M واحد في الـ A. إيش القوة المؤثرة عليه؟ M
+
+356
+00:31:28,730 --> 00:31:32,830
+واحد ناقص
+
+357
+00:31:32,830 --> 00:31:38,910
+T. M واحد مع الـ acceleration أخذتها بالموجب، ناقص T
+
+358
+00:31:38,910 --> 00:31:44,010
+بتساوي M واحد في الـ A. وهذه معادلة للجسم الأول
+
+359
+00:31:44,010 --> 00:31:49,820
+وبنسميها رقم واحد. للجسم الثاني بنفس الكيفية، هذا
+
+360
+00:31:49,820 --> 00:31:55,660
+الجسم الثاني. إيش في عنده؟ summation للـ force، هذا
+
+361
+00:31:55,660 --> 00:32:02,620
+for M واحد، هذا for M اثنين. الـ summation للـ force
+
+362
+00:32:02,620 --> 00:32:06,560
+بتساوي M اثنين في الـ a. مجموع القوة المؤثرة على
+
+363
+00:32:06,560 --> 00:32:14,720
+الجسم الثاني، ساوي كتلته بتسارعه. ومنها بتساوي
+
+364
+00:32:17,770 --> 00:32:29,350
+كمان قوانين. T إلى أعلى، ناقص M2G، M2A
+
+365
+00:32:29,350 --> 00:32:37,430
+وهذه المعادلة رقم اثنين. بس في ملاحظة، لو أنا أخذت
+
+366
+00:32:37,430 --> 00:32:41,270
+هذا الاتجاه الموجب، لو أخذنا الاتجاه لتحت الموجب،
+
+367
+00:32:41,270 --> 00:32:47,290
+بتغير. يعني لو أخذنا الاتنين اتجاه واحد، إيش هيصير
+
+368
+00:32:47,290 --> 00:32:52,470
+عندكم؟ فقط لو كان اتجاه، بيصير عند M اثنين في الـ G
+
+369
+00:32:52,470 --> 00:32:59,920
+ناقص T، والـ acceleration وين اتجاهها؟ للأعلى، بقول
+
+370
+00:32:59,920 --> 00:33:03,960
+ناقص M اثنين في الـ. إيش الفرق بين هذه المعادلة وهذه
+
+371
+00:33:03,960 --> 00:33:07,620
+المعادلة؟ إشارة مالها؟ إشارة كأن ضربتها بإشارة
+
+372
+00:33:07,620 --> 00:33:12,320
+سالبة، ومش هتأثر على الحل. فلذلك، دائماً أسهل لكم في
+
+373
+00:33:12,320 --> 00:33:17,420
+الحل، خذ اتجاه الحركة هو اتجاه الموجب، عكس الحركة
+
+374
+00:33:17,420 --> 00:33:24,420
+هو اتجاه السالب. بجمع واحد واثنين. واحد واثنين
+
+375
+00:33:30,890 --> 00:33:37,630
+M1 - M2G = M1A
+
+376
+00:33:37,630 --> 00:33:45,090
++ M2A = M1
+
+377
+00:33:45,090 --> 00:33:52,650
+- M2G.  M1A + M2A في الـ G بيساوي M1 زائد M2 في الـ A
+
+378
+00:33:52,650 --> 00:34:03,170
+ومنها مباشرة الـ A بتساوي M1 ناقص M2 على M1 زائد M2
+
+379
+00:34:03,170 --> 00:34:08,770
+في الـ G. إذا هيك أنا حسبت الـ acceleration. لو أنا
+
+380
+00:34:08,770 --> 00:34:12,190
+بدي أحسب الشد، الـ tension اللي هنا اللي هو نفسه الـ
+
+381
+00:34:12,190 --> 00:34:17,310
+tension اللي هنا. لو بدأ أحسب الشد، كيف بدأ أحسب الشد؟
+
+382
+00:34:17,310 --> 00:34:23,010
+بدأ أقول الشد من أي معادلة؟ بعد ما طلع قيمة الـ a
+
+383
+00:34:23,010 --> 00:34:27,130
+بعوض عن الـ a في المعادلة الأولى أو عن الـ a في
+
+384
+00:34:27,130 --> 00:34:30,850
+المعادلة الثانية. يعني بعوض عن قيمة الـ a اللي هنا
+
+385
+00:34:30,850 --> 00:34:35,210
+وبأُجيب الـ mg على الطرف الثاني، أو بعوض عن قيمة الـ a
+
+386
+00:34:35,210 --> 00:34:39,470
+اللي أنا طلعتها اللي هي عبارة عن M1 ناقص M2 على M1
+
+387
+00:34:39,470 --> 00:34:40,270
+زائد M2
+
+388
+00:34:49,310 --> 00:34:54,290
+ماشي الحال، يعطيكم العافية. المحاضرة الجاية بنكمل.
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/XkUur5FrU4k_postprocess.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/XkUur5FrU4k_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..2ec019e2d22191d130719b6e53b1d415a3ca1ee2
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/XkUur5FrU4k_postprocess.srt
@@ -0,0 +1,1552 @@
+1
+00:00:05,230 --> 00:00:09,350
+السلام عليكم و يعطيكم العافية ان شاء الله اليوم
+
+2
+00:00:09,350 --> 00:00:12,630
+هنكمل chapter .. هنبدأ في chapter أربعة chapter
+
+3
+00:00:12,630 --> 00:00:19,010
+أربعة طبعا بتكلم عن newtons law of motion طبعا
+
+4
+00:00:19,010 --> 00:00:23,330
+chapter أربعة هنلاقي فيه مصطلحات جديدة هنلاقي فيه
+
+5
+00:00:23,330 --> 00:00:27,910
+كميات فيزيائية جديدة أول هذه الكميات الفيزيائية
+
+6
+00:00:27,910 --> 00:00:31,850
+اللي هنلاقيها في chapter أربعة اللي هي ال force
+
+7
+00:00:31,850 --> 00:00:40,410
+إذا لما أقول ال forceال force when a body affect a
+
+8
+00:00:40,410 --> 00:00:45,210
+second body لو فينا جسم أثر على جسم تاني تأثيره
+
+9
+00:00:45,210 --> 00:00:50,870
+على الجسم التاني بنقول the first body exert a
+
+10
+00:00:50,870 --> 00:00:55,230
+force on the second يعني الأولاني أثر على التاني
+
+11
+00:00:55,230 --> 00:01:00,250
+بقوة أي جسمين كانوا واحد أثر على التاني أيا كان
+
+12
+00:01:00,250 --> 00:01:05,310
+هذا التأثير فالأول بيأثر على التاني بقوةهذه هي
+
+13
+00:01:05,310 --> 00:01:12,430
+القوة طبعا احنا لو يجينا معلوماتنا السابقة ان اي
+
+14
+00:01:12,430 --> 00:01:18,200
+جسمساكن مثلا كان ساكن او متحرك اذا بدي هذا الجسم
+
+15
+00:01:18,200 --> 00:01:24,500
+احركه بدي اثر عليه بقوة لو كان متحرك بدي اثر عليه
+
+16
+00:01:24,500 --> 00:01:31,120
+بقوة حتى اوقفه اذا حتى اغير حالته من السكون او
+
+17
+00:01:31,120 --> 00:01:36,500
+الحركة لازم ايش اعمل اثر عليه بقوة اذا القوة هي
+
+18
+00:01:36,500 --> 00:01:42,880
+ايش بتعمل للجسم بتغير من حالته change its stateof
+
+19
+00:01:42,880 --> 00:01:49,740
+a uniform motion من حركة منتظمة إلى أو rest ال
+
+20
+00:01:49,740 --> 00:01:54,100
+force فيه أنواع من ال force ال force إلها نوعين
+
+21
+00:01:54,100 --> 00:02:01,280
+إما ال force تكون contact force أو a field force
+
+22
+00:02:01,280 --> 00:02:06,240
+يعني contact force فيه اندقوا جسمين وصار بينهم
+
+23
+00:02:06,240 --> 00:02:13,570
+تلامسهذه القوة أثرت مباشرة من خلال ملامس هذا الجسم
+
+24
+00:02:13,570 --> 00:02:17,950
+الأول أو الجسم التاني الجسم الأول لامس الجسم
+
+25
+00:02:17,950 --> 00:02:24,470
+التاني لكن أحيانا القوة هذه بتكون ناشئة من مجال
+
+26
+00:02:24,470 --> 00:02:28,210
+يعني انا ماعرف في عندى مجال الجاذبية الأرضية هذا
+
+27
+00:02:28,210 --> 00:02:32,790
+الجسم يتأثر بمجال الجاذبية الأرضية هل في تلامس؟ لأ
+
+28
+00:02:32,790 --> 00:02:37,940
+مثال آخر لو في عندى أنا مغناطيسفي اندمجها
+
+29
+00:02:37,940 --> 00:02:43,080
+للمغناطيس الأولان ومجال المغناطيس أو قطعة حديد إذا
+
+30
+00:02:43,080 --> 00:02:48,160
+وقعت القطعة الحديد في مجال المغناطيس تتأثر بقوة،
+
+31
+00:02:48,160 --> 00:02:52,380
+لكن حتى بدون تلامس، فلقيا انسحبت أو اتأثرت الاتجاه
+
+32
+00:02:52,380 --> 00:02:58,100
+انسحبت في اتجاه المغناطيسهذا مجال مغناطيسي أو مجال
+
+33
+00:02:58,100 --> 00:03:03,360
+كهربي يؤثر على الجسم بدون ملامسة، مجال موجود، مجال
+
+34
+00:03:03,360 --> 00:03:09,340
+الجاذبية موجود، بتأثر هذا الجسم بمجال الجاذبي، إذا
+
+35
+00:03:09,340 --> 00:03:13,850
+نقوه عنده؟نوعين يا إما contact force و ال contact
+
+36
+00:03:13,850 --> 00:03:19,470
+force بيصير لها مباهة physical contact أو field
+
+37
+00:03:19,470 --> 00:03:25,450
+force و ال field force بيصير عنده بدون .. بدون
+
+38
+00:03:25,450 --> 00:03:29,490
+اتصال بين إيش؟ بين الجسمين و أمثلة عليها
+
+39
+00:03:29,490 --> 00:03:34,750
+gravitational force أو magnetic force أو electric
+
+40
+00:03:34,750 --> 00:03:39,150
+force طبعا احنا بنتكلم الآن على ال force ال force
+
+41
+00:03:39,150 --> 00:03:44,190
+هي كميةphysical quantity طيب physical quantity
+
+42
+00:03:44,190 --> 00:03:48,350
+احنا جسمناهم جسمين قولت يا اما scalar يا اما
+
+43
+00:03:48,350 --> 00:03:52,570
+vector ال force في هذا الحال عبارة عن ايش vector
+
+44
+00:03:52,570 --> 00:03:58,410
+quantity لذا لما اقول force كأن بقول physical
+
+45
+00:03:58,410 --> 00:04:05,190
+quantity كمية فيزيائية لكن vector طيب vector
+
+46
+00:04:05,190 --> 00:04:10,970
+quantityالوحدة المستخدمة لقياسها زي ما انتوا
+
+47
+00:04:10,970 --> 00:04:16,950
+عارفين لنيوتن طبعا لنيوتن هو اسم عالم لنيوتن لكن
+
+48
+00:04:16,950 --> 00:04:21,870
+هي مشتق احنا قولنا جميع الوحدات تشتق من تلت وحدات
+
+49
+00:04:21,870 --> 00:04:32,950
+أساسية اللي هي kilogram و طول متر و time هلاجي من
+
+50
+00:04:32,950 --> 00:04:38,100
+لنيوتن لما نجي نقودها الآن و رمزها بالانهلاج فيها
+
+51
+00:04:38,100 --> 00:04:43,600
+kilogram و في عند متر و في second إذا اللي نيوتن
+
+52
+00:04:43,600 --> 00:04:52,420
+واحد نيوتن سوى kilogram في متر على second squareزي
+
+53
+00:04:52,420 --> 00:04:55,340
+الواحد نيوتن عبارة عن كيلو جرام متر في second
+
+54
+00:04:55,340 --> 00:05:00,540
+square وحنشوفها لما نشوف الصيغة الرياضية لل force
+
+55
+00:05:00,540 --> 00:05:03,840
+او كيف انا بده اعرف ال force او احسب ال force من
+
+56
+00:05:03,840 --> 00:05:07,060
+اي معادلات موجودة عندى حلاجي لما احط المعادلة
+
+57
+00:05:07,060 --> 00:05:12,680
+حلاجي فيها kilogram اللي هو عبارة عن mass متر
+
+58
+00:05:12,680 --> 00:05:17,640
+عبارة عن طول و second عبارة عن time squareو لو
+
+59
+00:05:17,640 --> 00:05:21,340
+جينا نطلع عليها قبل ما نكمل احنا هلاقي ال kilogram
+
+60
+00:05:21,340 --> 00:05:25,460
+mass متر على second square يعني عبارة عن
+
+61
+00:05:25,460 --> 00:05:30,060
+acceleration إذا ال force هيكون قانونها كأنه متر
+
+62
+00:05:30,060 --> 00:05:35,560
+في مين في accelerationطبعا احنا في عنده يا اما اذا
+
+63
+00:05:35,560 --> 00:05:38,620
+استخدمت ال kilogram او استخدمت ال gram ال
+
+64
+00:05:38,620 --> 00:05:41,660
+centimeter ال second gram و centimeter و second
+
+65
+00:05:41,660 --> 00:05:45,580
+بيطلع الوحدة المستخدمة اللي هي ال dime اذا ال dime
+
+66
+00:05:45,580 --> 00:05:50,300
+في علاقة طبعا علاقتها باسفع ال dime لل newton
+
+67
+00:05:50,300 --> 00:05:54,680
+علاقتها لو جيت احول ال kilogram عند ال kilogram
+
+68
+00:05:54,680 --> 00:06:02,840
+لما احوله بيطلع الف gramالمتر عبارة عن ميت سنتمتر
+
+69
+00:06:02,840 --> 00:06:13,440
+السكن زي ما هي اذا بيصير عندى عشر عقوس خمسة اجرام
+
+70
+00:06:13,440 --> 00:06:20,160
+سنتمتر second square هذه الداين
+
+71
+00:06:28,030 --> 00:06:39,750
+أو بعمل إزاحة للفاصلة بقدرش بخمس خنات نجي
+
+72
+00:06:39,750 --> 00:06:43,890
+نتكلم عن ال Newton's first law أول حاجة بيقول
+
+73
+00:06:43,890 --> 00:06:48,010
+الشبطر هذا نيوتن و إذا اتكلمت على القوة بتدكلم
+
+74
+00:06:48,010 --> 00:06:53,430
+مباشرة على مينعلى قوانين نيوتن التلاتة طبعا قوانين
+
+75
+00:06:53,430 --> 00:06:58,330
+نيوتن التلاتة مرت عليكم اول قانون اللي هم يسميه
+
+76
+00:06:58,330 --> 00:07:02,450
+the first law اذا ذكروا القانون النيوتن الاول
+
+77
+00:07:02,450 --> 00:07:09,510
+هتقولونه مباشرة الجسم اي object بيضلوا على نفس
+
+78
+00:07:09,510 --> 00:07:15,310
+الحالة يا اما حركة يا اما سكون ال statement لها
+
+79
+00:07:16,440 --> 00:07:23,580
+rest او uniform motion until حتى يتم تأثير قوة
+
+80
+00:07:23,580 --> 00:07:30,450
+عليه هذه القوة شو بتعمل؟ بتغير في مين في حالتهقوة
+
+81
+00:07:30,450 --> 00:07:33,530
+خارجية إذا أثرت على الجسم بتغير في حالته، إذا
+
+82
+00:07:33,530 --> 00:07:37,210
+كنتوا تقولوا يبقى الجسم على حالته من السكون أو
+
+83
+00:07:37,210 --> 00:07:44,250
+الحركة ما لم تؤثر عليه قوة خارجية تغير من حالته،
+
+84
+00:07:44,250 --> 00:07:47,850
+يعني هاي الجسم ساكن، لازم تيجي قوة خارجية إيش
+
+85
+00:07:47,850 --> 00:07:52,790
+تعمله؟ تغير من حالته و تغيره من حالة سكون لحالة
+
+86
+00:07:52,790 --> 00:07:58,870
+حركةطبعا ال Newton's law بيسموها او ممكن اقول ان
+
+87
+00:07:58,870 --> 00:08:02,570
+هي عبارة عن frame يعني في عندي ال frame ايش هو
+
+88
+00:08:02,570 --> 00:08:06,130
+نقطة زي ال frame في ال x و ال y و ال z نقطة نقطة
+
+89
+00:08:06,130 --> 00:08:10,850
+مرجع نقطة مرجع ال Newton's law هو اللي بعتبره ايه
+
+90
+00:08:10,850 --> 00:08:16,670
+اذا كان في عندي acceleration the first law بنسميه
+
+91
+00:08:16,670 --> 00:08:23,030
+inertia inertia frameInertia frame طيب في عندي
+
+92
+00:08:23,030 --> 00:08:28,710
+حاجتين ال mass و ال inertia ايش الفرق بينهم؟الماس
+
+93
+00:08:28,710 --> 00:08:34,630
+من الانيرشيا طبعا الانيرشيا هي property of matter
+
+94
+00:08:34,630 --> 00:08:39,950
+خاصية من خواص المادة خاصية من خواص المادة زي اي
+
+95
+00:08:39,950 --> 00:08:44,230
+خاصية انتوا عارفينها زي درجة الحرارة طبعا هذه
+
+96
+00:08:44,230 --> 00:08:49,190
+خاصية من خواص المادة لذا ال inertia هي خاصية من
+
+97
+00:08:49,190 --> 00:08:56,010
+خواص المادة مش بتعمل resist that change of state
+
+98
+00:08:56,010 --> 00:09:01,400
+of its stateand mass of measured inertia يعني
+
+99
+00:09:01,400 --> 00:09:07,400
+العلاقة بين ال inertia و ال mass تعتبر ال inertia
+
+100
+00:09:07,400 --> 00:09:15,280
+خاصية من خاص المادة طبعا تقاس بمين بالكتلة ال mass
+
+101
+00:09:15,280 --> 00:09:19,140
+طبعا احنا عارفينها انها scalar quantity scalar
+
+102
+00:09:19,140 --> 00:09:24,740
+quantity وحدة قياسها بال kilogram او بالجرام تبعا
+
+103
+00:09:24,740 --> 00:09:31,850
+لل system اللي أنا بستخدمهطبعا فى ملاحظة هنا فى
+
+104
+00:09:31,850 --> 00:09:37,650
+عندى هنا different اختلاف بين ال mass و ال weight
+
+105
+00:09:37,650 --> 00:09:46,130
+ال mass كمية فزيائية اسكالة قياسية أما ال weight
+
+106
+00:09:46,130 --> 00:09:52,380
+كمية فزيائية مالهاكمية فزيائية متجهة كمية فزيائية
+
+107
+00:09:52,380 --> 00:09:58,120
+تعتبر قوة اتجاهها لو انت تأثير من الجاذبية اذا ال
+
+108
+00:09:58,120 --> 00:10:04,920
+mass عبارة عن عبارة عن كمية فزيائية مقدرها ثابت و
+
+109
+00:10:04,920 --> 00:10:12,620
+المجموعة واحد طن واحد طن everywhere لكن ال weight
+
+110
+00:10:12,620 --> 00:10:18,530
+يختلف ال weight عبارة عن ايش الوزن مرة كتلةفى ال
+
+111
+00:10:18,530 --> 00:10:25,290
+gravity M G لاحظوا ان ال gravity قد تختلف باختلاف
+
+112
+00:10:25,290 --> 00:10:29,230
+المكان إذا أنا طلعت لفوق ال gravity بتبدأ مالها
+
+113
+00:10:29,230 --> 00:10:34,790
+اتقل للمناطق المرتفعة ال gravity بتقل فيها إذا ال
+
+114
+00:10:34,790 --> 00:10:39,450
+gravity تختلف تبعا للارتفاع اللى موجود عندى من سطح
+
+115
+00:10:39,450 --> 00:10:43,750
+الأرض إذا مباشرة إلها ال weight بختلف تبعا
+
+116
+00:10:43,750 --> 00:10:48,300
+للارتفاع إذا ال gravity اختلفتاختلف ال weight من
+
+117
+00:10:48,300 --> 00:10:53,980
+منطقة لمنطقة أخرى نيجي الأن نتكلم على ال second
+
+118
+00:10:53,980 --> 00:11:01,080
+law ال second law مجموع
+
+119
+00:11:01,080 --> 00:11:08,420
+القوة اللي بتأثر على الجسم بتتناسب تناسبا طرديا مع
+
+120
+00:11:08,420 --> 00:11:11,060
+مين؟ مع ال acceleration
+
+121
+00:11:13,390 --> 00:11:18,210
+التناسب لـ acceleration direct proportional of net
+
+122
+00:11:18,210 --> 00:11:25,210
+forceو تتناسب عكسيا مع ال mass طبعا لما نيجي ال
+
+123
+00:11:25,210 --> 00:11:31,150
+summation لل force طبعا لو انا اندي اي جسم اثرت
+
+124
+00:11:31,150 --> 00:11:38,250
+عليه بمجموعة من القوة F1 F2 F3 مجموعة هذه القوة
+
+125
+00:11:38,250 --> 00:11:43,370
+المؤثرة على الجسم تساوي ال mass الكتلة في مين في
+
+126
+00:11:43,370 --> 00:11:49,190
+تسارع هذا الجسم طبعا احنا بتتكلم عن vectorإذا لما
+
+127
+00:11:49,190 --> 00:11:53,170
+يكون vector في عنده x component تساوي ال vector
+
+128
+00:11:53,170 --> 00:11:56,790
+لازم ال x component مع ال x component و ال y
+
+129
+00:11:56,790 --> 00:11:59,190
+component ال summation لل force في ال y component
+
+130
+00:11:59,190 --> 00:12:04,410
+بيساوي ال summation لل m في ال a و ال y كذلك ال
+
+131
+00:12:04,410 --> 00:12:07,290
+summation لل force في ال z component بيساوي الكتلة
+
+132
+00:12:07,290 --> 00:12:13,670
+في التسارع اللي في اتجاه ال z نجح
+
+133
+00:12:13,670 --> 00:12:14,730
+للقانون التالد
+
+134
+00:12:17,300 --> 00:12:22,800
+مر every action there is an equal but opposite
+
+135
+00:12:22,800 --> 00:12:28,640
+reaction يعني لكل فعل في فعل و في اندي حاجة إيش رد
+
+136
+00:12:28,640 --> 00:12:36,220
+فعل لكل فعل لكل فعل رد فعل لكل فعل رد فعل ماله
+
+137
+00:12:36,220 --> 00:12:40,980
+مساوين له في المقدار طب مساوين له في المقدار لكن
+
+138
+00:12:40,980 --> 00:12:48,230
+اتجاه وين لو أنا جيبي الدبوس وضغطت عليه بيديانا
+
+139
+00:12:48,230 --> 00:12:52,850
+بضغط على الدبوس لكن بهذا الاتجاه الدبوس before في
+
+140
+00:12:52,850 --> 00:12:58,430
+مين؟ في الاتجاه إيش؟ المعاكس أو إبرة، الإبرة ضغطت
+
+141
+00:12:58,430 --> 00:13:02,910
+عليها بهذا الاتجاه، الإبرة مالها؟ بتفوت في إيدي في
+
+142
+00:13:02,910 --> 00:13:07,800
+الاتجاه المعاكس، هذا فعلواحد action والتانى ماله
+
+143
+00:13:07,800 --> 00:13:12,920
+reaction والتانى مالهم متساويين في القيمة كل ما
+
+144
+00:13:12,920 --> 00:13:17,600
+كان الضغط أكثر كل ما كان رد الفعل ايش ماله أكثر
+
+145
+00:13:17,600 --> 00:13:22,500
+اذا واحد action والتانى ايش reaction التنتين ال
+
+146
+00:13:22,500 --> 00:13:28,100
+action و ال reaction ايش equal واحد بسميه تأثير
+
+147
+00:13:28,100 --> 00:13:31,860
+الأول على التانى والتانى تأثير التانى على الأول
+
+148
+00:13:31,860 --> 00:13:37,710
+هذا الجسم مع هذا الجسم أثروا بقوةهنا عندي F واحد
+
+149
+00:13:37,710 --> 00:13:42,750
+واحد على اتنين واحد اثر على اتنين لكن ال reaction
+
+150
+00:13:42,750 --> 00:13:48,890
+اتنين اثر على واحد معاكس له في الاتجاه ال action
+
+151
+00:13:48,890 --> 00:13:52,510
+بهذا الشكل ال reaction عكس التاني متساويين في
+
+152
+00:13:52,510 --> 00:13:57,410
+القيمة لكن اتجاههم ايش هذا force vector
+
+153
+00:14:15,630 --> 00:14:22,730
+الاتجاه متعكسطيب كمان مرة بدأ أعيد لكل فعل رد فعل
+
+154
+00:14:22,730 --> 00:14:26,810
+مساوي له في المقدار ومعاكس له في الاتجاه وبدأ أقول
+
+155
+00:14:26,810 --> 00:14:31,210
+ويؤثر على الجسم الآخر، إذا ال action و ال reaction
+
+156
+00:14:31,210 --> 00:14:36,190
+كل واحد بيأثر على مين؟ على جسم، واحد أثر على
+
+157
+00:14:36,190 --> 00:14:41,430
+اتنين، اتنين أثر على مين؟ على واحد، واتنين ما لهم
+
+158
+00:14:41,430 --> 00:14:46,900
+متساويين في القيمة ومتعاكسين في الاتجاهفي حاجة
+
+159
+00:14:46,900 --> 00:14:51,360
+بتلزمني دايما في حل المسائل أو في معرفة القوة اللي
+
+160
+00:14:51,360 --> 00:14:55,700
+بتأثر على الجسم اللي بسميها ال free body diagram
+
+161
+00:14:55,700 --> 00:15:01,660
+ال free body diagram هو رسم diagram لمين لجميع
+
+162
+00:15:01,660 --> 00:15:08,320
+القوة all the forces action on the body أي جميع
+
+163
+00:15:08,320 --> 00:15:13,540
+القوة اللي بتأثر على الجسم بدليش أعمل بدي أرسمها
+
+164
+00:15:13,540 --> 00:15:18,780
+على هذا الجسميعني أنا قول أدرس هذا الجلم اللي
+
+165
+00:15:18,780 --> 00:15:24,300
+موجود على الطاولة، بدي أرسم جميع القوة المؤثرة على
+
+166
+00:15:24,300 --> 00:15:26,800
+هذا الجسم، طب الطاولة بتلزمني أرسم القوة المؤثرة
+
+167
+00:15:26,800 --> 00:15:30,200
+عليها؟ لأ، أنا مازال بدي أدرس الجلم ماليش علاقة
+
+168
+00:15:30,200 --> 00:15:35,290
+بالطاولةلكن إلي علاقة بتأثير الطاولة على مين؟ على
+
+169
+00:15:35,290 --> 00:15:39,050
+القلم، إذا في قوة بتأثر من الطاولة على القلم،
+
+170
+00:15:39,050 --> 00:15:42,830
+بتلزمنا، لكن من القلم على الطاولة، أنا مازال ما
+
+171
+00:15:42,830 --> 00:15:46,650
+درستش الطاولة إيش ما ليش علاقة، بارسمهاش، إذا
+
+172
+00:15:46,650 --> 00:15:50,750
+بارسم جميع القوة المؤثرة على إيش؟ على هذا الجسم،
+
+173
+00:15:50,750 --> 00:15:55,870
+جميع القوة المؤثرة على هذا الجسم، وماليش علاقة في
+
+174
+00:15:55,870 --> 00:16:00,170
+مين في القوة اللي مؤثرة على الجسم الآخر اللي أنا
+
+175
+00:16:00,170 --> 00:16:05,610
+بدرسوشلو انا في عندى مسألة و بدى حلها ايش بدى اعمل
+
+176
+00:16:05,610 --> 00:16:10,550
+حتى حل هذه المسألة في نقاط محددة بدى اخدها بعين
+
+177
+00:16:10,550 --> 00:16:16,050
+الاعتبار حتى حل هذه المسألة اول حاجة بدى اختار
+
+178
+00:16:16,050 --> 00:16:22,190
+coordinate system بدى اختار محاور انا بعرف ان في
+
+179
+00:16:22,190 --> 00:16:29,810
+عندى محور X محور X ومحور Yمحور X عارفينه اتجاه
+
+180
+00:16:29,810 --> 00:16:36,250
+موجبه له واتجاه سالب Y موجب Y سالب جميع القوى
+
+181
+00:16:36,250 --> 00:16:40,550
+الموجودة عنده بيكون تحليلها او موجودة في اتجاه X
+
+182
+00:16:40,550 --> 00:16:41,910
+او في اتجاه Y
+
+183
+00:16:46,950 --> 00:16:50,850
+تلزمني ان احللها او اجدها في اتجاه ال X و اتجاه ال
+
+184
+00:16:50,850 --> 00:16:55,950
+Y اذا في البداية بلزمني اتاخد ايش محور X و محور Y
+
+185
+00:16:55,950 --> 00:17:00,290
+و اعرف وين ال positive direction منه و ال negative
+
+186
+00:17:00,290 --> 00:17:04,650
+direction و ال positive direction و ال positive
+
+187
+00:17:04,650 --> 00:17:08,370
+direction دائما باخده في اتجاه ال acceleration
+
+188
+00:17:08,370 --> 00:17:13,140
+اريحلي في حلل مثلاو بنفع تاخد اي اتجاه لكن لما
+
+189
+00:17:13,140 --> 00:17:19,440
+تسهل .. بتسهل مسألة تاخد ال positive في اتجاه ..
+
+190
+00:17:19,440 --> 00:17:23,520
+في اتجاه اللي هو ال acceleration يعني جميع القوة
+
+191
+00:17:23,520 --> 00:17:28,220
+لو انا فيها اندي جسم أثرت عليه القوة بهذا الاتجاه
+
+192
+00:17:28,220 --> 00:17:35,380
+high F هذا كتل توم M الان ممكن ان انا اخد هذا
+
+193
+00:17:35,380 --> 00:17:39,960
+الاتجاه هو الاتجاه ايه يا شباب؟الموجب والجسم بتحرك
+
+194
+00:17:39,960 --> 00:17:43,980
+بـ acceleration قيمتها A إذا باخد هذا الاتجاه هو
+
+195
+00:17:43,980 --> 00:17:47,520
+الموجب بينفع لو أخدت هذا سالب يعني بقول summation
+
+196
+00:17:47,520 --> 00:17:53,440
+لل force بتساوي M في A تبعا لل second law ال force
+
+197
+00:17:53,440 --> 00:17:59,840
+وين اتجاهها ولا تكن أي ان كانت القيمة قيمتها F إذا
+
+198
+00:17:59,840 --> 00:18:05,840
+بقول F بالموجب لأن اتجاهها موجب أخدته بيساوي ال M
+
+199
+00:18:05,840 --> 00:18:12,210
+scalarالـ A بنفس الاتجاه الموجب إذا الموجب طب لأ
+
+200
+00:18:12,210 --> 00:18:16,450
+أنا أخدت هذا بالسالب بتغير الحل سالب F سواء M ال
+
+201
+00:18:16,450 --> 00:18:20,490
+acceleration واتجاهها سالب A سالب مع السالب عشان
+
+202
+00:18:20,490 --> 00:18:25,070
+لكن أسهل بتروح لكن أسهل إن أخد اتجاه ال
+
+203
+00:18:25,070 --> 00:18:28,010
+acceleration أو اتجاه الحركة اللي موجود عنده هو
+
+204
+00:18:28,010 --> 00:18:33,450
+الاتجاه الموجب عكسه الاتجاه بيكون الاتجاه السالب
+
+205
+00:18:33,580 --> 00:18:44,820
+محاور تحدد الموجب و تحدد السالب الموجب رقم
+
+206
+00:18:44,820 --> 00:18:49,520
+اتنين ارسم ال free body diagram جميع القوى المؤثرة
+
+207
+00:18:49,520 --> 00:18:59,100
+على هذا الجسم رقم تلاتة اجيب ال component
+
+208
+00:19:02,600 --> 00:19:06,280
+coordinate يعني بدي اختار ال coordinate و بدي
+
+209
+00:19:06,280 --> 00:19:09,480
+اختار ال X component للقوة و ال Y component للقوة
+
+210
+00:19:09,480 --> 00:19:14,180
+يعني لو في عندنا force بهذا الاتجاه هاي الجسم أثرت
+
+211
+00:19:14,180 --> 00:19:18,980
+عليه القوة بهذا الاتجاه F بزاوية مقدرها تيتا مثلا
+
+212
+00:19:18,980 --> 00:19:25,300
+ال F زي هيكا ايش بدي اعملبدي اجيب ال F cos θ و F
+
+213
+00:19:25,300 --> 00:19:30,180
+sin θ تبع لل coordinate system اللي انا اخدته مين
+
+214
+00:19:30,180 --> 00:19:35,580
+موجب و مين سالم اذا هنا بيصير كأنه في عندي Fx و
+
+215
+00:19:35,580 --> 00:19:40,680
+كأنه في عندي Fy اذا في عندي مراكبة في اتجاه ال X و
+
+216
+00:19:40,680 --> 00:19:45,500
+مراكبة في اتجاه ال Y رقم 4 بدي اعرف المواد احط
+
+217
+00:19:45,500 --> 00:19:48,900
+المعطيات اللي موجودة عندى ايش معطى عندى و ايش
+
+218
+00:19:48,900 --> 00:19:54,800
+الحاجة اللي انا مطلوب مني اوجدهاوبتطبق أخر حاجة
+
+219
+00:19:54,800 --> 00:20:03,970
+نيوتنز second law نجي ناخد مثالالمعرفة طبعا تطبيق
+
+220
+00:20:03,970 --> 00:20:08,170
+second law اللي هو نيوتنز second law اللي هو
+
+221
+00:20:08,170 --> 00:20:10,910
+القانون الرياضي اللي موجود عندي اللي هو summation
+
+222
+00:20:10,910 --> 00:20:16,210
+لفرصة ما لحساب المجهول ناخد سؤال او مثال بسيط جدا
+
+223
+00:20:16,210 --> 00:20:21,250
+و نحله و نشوف كيف انا بيدطبق هذه المواطيع الكلام
+
+224
+00:20:21,250 --> 00:20:29,490
+اللي انا قلته اول حاجة السؤال بيقول في عند جسم
+
+225
+00:20:32,950 --> 00:20:39,090
+كتلته تلاتة كيلو جرام موجود على horizontal smooth
+
+226
+00:20:39,090 --> 00:20:45,770
+surface سطح سطح أملس طبعا سطح أملس كمان شوية
+
+227
+00:20:45,770 --> 00:20:50,930
+هيجينا rough سطح خشنالسطح الخشن في قوة تانية
+
+228
+00:20:50,930 --> 00:20:54,690
+هناخدها في نهاية هذا الشبطة لذا انا بتكلم مسائل
+
+229
+00:20:54,690 --> 00:20:58,930
+اللي هتمر علي الان مش هتطرق فيها للسطح الخشن انا
+
+230
+00:20:58,930 --> 00:21:03,630
+فقط هتكلم كلهم على السطح الاملس لذا في عندي سطح
+
+231
+00:21:03,630 --> 00:21:10,310
+املس عليه صندوق او جسم او block وزنه او كتلته اسف
+
+232
+00:21:10,310 --> 00:21:15,130
+كتلته تلاتة كيلو جرام اثرت عليه بقوة ال force جداش
+
+233
+00:21:15,130 --> 00:21:22,520
+قيمتها بتساوي سحبتهالـ box بقوة horizontal with a
+
+234
+00:21:22,520 --> 00:21:28,260
+force قيمتها اتنين نيوتن اذا اثرت عليه القوة
+
+235
+00:21:28,260 --> 00:21:34,480
+قيمتها بتساوي اتنين نيوتن horizontal مع مستوى
+
+236
+00:21:34,480 --> 00:21:38,700
+السطح اول خطوة ايش بده اعمل بده ارسم ال free قبل
+
+237
+00:21:38,700 --> 00:21:43,380
+ما ارسم بده اخد المحاور و ارسم ال free بعد داالجسم
+
+238
+00:21:43,380 --> 00:21:47,220
+لو انا قلت متوقع يتحرك من الحركة هاي الحركة في هذا
+
+239
+00:21:47,220 --> 00:21:51,580
+الاتجاه اذا مباشرة بدي اخد اتجاه ال X زي هيكا
+
+240
+00:21:51,580 --> 00:21:59,400
+واتجاه ال Y هاي محور X ومحور Y رقم اتنين بدي اشوف
+
+241
+00:21:59,400 --> 00:22:02,340
+القوة المؤثرة على الجسم ايش القوة المؤثرة على
+
+242
+00:22:02,340 --> 00:22:08,260
+الجسم في عندي قوة قيمتها اتنين نيوتن افس او اتنين
+
+243
+00:22:08,260 --> 00:22:13,910
+نيوتن في عندي اول حاجة ال weightوزن هذا الجسم الى
+
+244
+00:22:13,910 --> 00:22:18,870
+أسفل دائما الوزن الى أسفل طبعا أنواع القوة كتير
+
+245
+00:22:18,870 --> 00:22:24,110
+جدا منها الوزن قولنا الوزن كمان مرة لما قرنا بين
+
+246
+00:22:24,110 --> 00:22:29,270
+ال math قولنا الوزن هو force اتجاهها لوين دائما
+
+247
+00:22:29,270 --> 00:22:34,550
+اتجاهها لوين لأسفل في عند هنا قانون نيوتن التالت
+
+248
+00:22:34,550 --> 00:22:40,190
+انا ضغطتي او الجسم ضاغط على الطاولةالطاولة .. لو
+
+249
+00:22:40,190 --> 00:22:45,170
+كان في أي إشي .. الطاولة إشي بتعمل، بترد فعل في
+
+250
+00:22:45,170 --> 00:22:51,230
+الاتجاه المعكس، هاس في إيدي بالنتوءات أو بالطاولة
+
+251
+00:22:51,230 --> 00:22:55,030
+أو برد فعل الطاولة، لو كان في عندي إبر أو حاجة
+
+252
+00:22:55,030 --> 00:22:58,570
+ضغطت عليها أو دبابيس ضغطت عليها، حلاج إش ماله، رد
+
+253
+00:22:58,570 --> 00:23:02,730
+فعل، وإن هذا action .. action هو ضغط على الطاولة،
+
+254
+00:23:02,730 --> 00:23:07,720
+ماليش علاقة فيهلكن في ايش reaction force اللي هي
+
+255
+00:23:07,720 --> 00:23:11,660
+بنسميها ال normal force وناشئة من وين ال normal
+
+256
+00:23:11,660 --> 00:23:16,800
+force من السطح على الجسم من نقطة التلامس بين السطح
+
+257
+00:23:16,800 --> 00:23:20,440
+الأول و السطح التاني بين ال box و بين ايش السطح
+
+258
+00:23:20,440 --> 00:23:23,360
+اللي موجود عندك السطح الأمنس لذا هنا في ال weight
+
+259
+00:23:23,360 --> 00:23:28,180
+و لاحظوا كمان نقطة بقول ال weight جبته من وين اذا
+
+260
+00:23:28,180 --> 00:23:34,540
+كان عندي شكل منتظم بيكون ال weight من مركزهذا
+
+261
+00:23:34,540 --> 00:23:41,960
+الجسمإذا الوزن لأسفل MG في عندنا normal force ناشئ
+
+262
+00:23:41,960 --> 00:23:47,040
+من السطح في اندقوه أثرت فيها وما أنساش أنه بدي أخد
+
+263
+00:23:47,040 --> 00:23:51,620
+اتجاه الموجب وين اتجاه الموجب الحركة المتوقعة هاي
+
+264
+00:23:51,620 --> 00:23:55,400
+ال acceleration إذا هذا هو اتجاه الموجب المحاور
+
+265
+00:23:55,400 --> 00:24:00,980
+ممكن أشيلها لإن أصبح عارف المحاور عندي محور X زي
+
+266
+00:24:00,980 --> 00:24:06,560
+هيك أخد اتجاه الموجب وهي ال Y كنبناالصميشن للفورس
+
+267
+00:24:06,560 --> 00:24:11,800
+في اتجاه ال X بيساوي M في AX وما أنساش اقول
+
+268
+00:24:11,800 --> 00:24:19,300
+الصميشن للفورس في اتجاه ال Y بيساوي M في AY لأن في
+
+269
+00:24:19,300 --> 00:24:26,530
+عندي X محور X وفي عندي محور Yمجموع القوة التي في
+
+270
+00:24:26,530 --> 00:24:36,830
+اتجاه الـ X مجموع القوة التي في اتجاه الـ X مجموع
+
+271
+00:24:36,830 --> 00:24:40,390
+القوة
+
+272
+00:24:40,390 --> 00:24:47,350
+التي في اتجاه الـ Xالكتلة أعطانيها تلاتة ال mass
+
+273
+00:24:47,350 --> 00:24:51,390
+في ال acceleration a x اللي أنا بدور عليها طبعا هو
+
+274
+00:24:51,390 --> 00:24:54,850
+قال لي find the acceleration of the box بدأ أوجد
+
+275
+00:24:54,850 --> 00:24:58,990
+ال acceleration لل box إذا ال a x بيساوي تلاتة a
+
+276
+00:24:58,990 --> 00:25:03,850
+ومنها بقدر أطلع ال a واتجاهها لوين في اتجاه ال x
+
+277
+00:25:03,850 --> 00:25:08,090
+زي ما أنا حددتها بيساوي اتنين ع تلاتة بال متر ع ال
+
+278
+00:25:08,090 --> 00:25:13,610
+second square لو جيت في اتجاه ال yهل الجسم متوقعين
+
+279
+00:25:13,610 --> 00:25:17,370
+يطلع فوق أو ينسل لتحت؟ لأ، هاي الجسم، حطيته على
+
+280
+00:25:17,370 --> 00:25:23,430
+الطاولة الجسم في اتجاه الـY ماله، بتحركش، لأ، ليه
+
+281
+00:25:23,430 --> 00:25:27,630
+اكسلريشن لفوق ولا اكسلريشن لوين؟ لتحت، لكن في
+
+282
+00:25:27,630 --> 00:25:31,270
+اتجاه .. بتحرك في اتجاه مين؟ القوة في اتجاه الـX،
+
+283
+00:25:31,270 --> 00:25:35,550
+لذا الـacceleration هنا قيمةها كده؟ Zero، لذا بقدر
+
+284
+00:25:35,550 --> 00:25:39,450
+اقول مجموعة القوة بتساوي Zero، ايش في عندي قوة؟ في
+
+285
+00:25:39,450 --> 00:25:44,780
+محورموجب ولا تحت ايه ايش سالب اذا بقدر اقوله لان
+
+286
+00:25:46,240 --> 00:25:51,060
+بالموجب سالب الام جي من هذه العلاقة بقدر اقول ال
+
+287
+00:25:51,060 --> 00:25:56,920
+normal force قيمتها بساوي الام جي واحد H واحد فعل
+
+288
+00:25:56,920 --> 00:26:01,900
+والتاني مالها رد فعل اذا ال normal force ال normal
+
+289
+00:26:01,900 --> 00:26:05,880
+force طبعا الرمز لها بالرمز and ال normal force
+
+290
+00:26:05,880 --> 00:26:10,400
+اللي هي قوة التلامس العمودية قوة التلامس بين
+
+291
+00:26:10,400 --> 00:26:14,820
+الصفحين العموديةإذا هذا هو ال normal force اللي
+
+292
+00:26:14,820 --> 00:26:22,360
+موجود عنده من السطح على الجسم من السطح على الجسم
+
+293
+00:26:22,360 --> 00:26:29,180
+بنسميها ال normal force نجي ناخد مثال تاني لاحظوا
+
+294
+00:26:29,180 --> 00:26:38,480
+الأمثلة تطبيقها بيكون سهل إذا
+
+295
+00:26:38,480 --> 00:26:39,520
+كانت في اتجاه واحد
+
+296
+00:26:43,070 --> 00:26:49,250
+بنقول في عنده كتلتين two masses واحد M واحد
+
+297
+00:26:49,250 --> 00:26:56,890
+والتاني M اتنين M علاقات البكرة طبعا
+
+298
+00:26:56,890 --> 00:27:01,410
+light string يعني بنا نهمل الخيط و نهمل ال
+
+299
+00:27:01,410 --> 00:27:06,910
+friction اللي في البكرة لكن بعد ذلك هنجي ناخد في
+
+300
+00:27:06,910 --> 00:27:09,830
+الحسبة اللي هو البكرة و ال friction اللي لها و
+
+301
+00:27:09,830 --> 00:27:14,510
+ندخله خلال الحسبةام واحد اكبر من ام اتنين هاي ام
+
+302
+00:27:14,510 --> 00:27:19,490
+واحد و ام اتنين ايش متوقعين يصير عنده متوقعين ام
+
+303
+00:27:19,490 --> 00:27:25,790
+واحد تنزل لتحت و ام اتنين تطلع لفوق هذا ام اتنين
+
+304
+00:27:25,790 --> 00:27:30,310
+السرعة اللي بتتحرك فيها ام واحد و اللي بتتحرك فيها
+
+305
+00:27:30,310 --> 00:27:35,410
+ام اتنين يعني لو قولنا ام واحد نزلت بسرعة خمسة متر
+
+306
+00:27:35,410 --> 00:27:41,470
+بيرسكانأم اتنين اشمالها هتطلع بنفس السرعة، ليش؟
+
+307
+00:27:41,470 --> 00:27:45,430
+لأن هذا هيمشي متر، هذا هيمشي متر، هذا نفس الزمن،
+
+308
+00:27:45,430 --> 00:27:50,310
+وهذا نفس الزمن، إذا التغير في الإزاحة الموجود هنا
+
+309
+00:27:50,310 --> 00:27:53,690
+نفسه بالنسبة للزمن، هيساوي نفس التغير في الإزاحة
+
+310
+00:27:54,320 --> 00:27:58,680
+بالنسبة للزمن للجسم التاني الجسم الأول تغير في
+
+311
+00:27:58,680 --> 00:28:03,560
+إزاحته بالنسبة للزمن بيساوي التغير في الإزاحة
+
+312
+00:28:03,560 --> 00:28:07,280
+بالنسبة للزمن للجسم التاني طيب ال acceleration
+
+313
+00:28:07,280 --> 00:28:10,760
+اللي هنا و ال acceleration اللي هنا طبعا نفس ال
+
+314
+00:28:10,760 --> 00:28:13,700
+issue لأن ال acceleration اللي هنا حلقه بالفلسفة
+
+315
+00:28:13,700 --> 00:28:18,480
+بالسرعة ففي هذه الحالة ال acceleration اللي هنا و
+
+316
+00:28:18,480 --> 00:28:24,480
+ال acceleration اللي هنا معاهم متساويليش انا ذكرت
+
+317
+00:28:24,480 --> 00:28:28,140
+ال acceleration لأن ال acceleration لها علاقة
+
+318
+00:28:28,140 --> 00:28:33,160
+تماما بال force بدي ارسم ال free body diagram ليش
+
+319
+00:28:33,160 --> 00:28:36,220
+انا حطيت ال acceleration كمان مرة بقول عشان احدى
+
+320
+00:28:36,220 --> 00:28:39,800
+اتجاه الحركة و اخد اتجاه الحركة و الاتجاه الموجب و
+
+321
+00:28:39,800 --> 00:28:43,960
+عكس الحركة الاتجاه السلب هاي المحور اللي بدي اخده
+
+322
+00:28:43,960 --> 00:28:47,160
+و المحور التاني ماله متعامد عليه لكن المحور التاني
+
+323
+00:28:47,160 --> 00:28:50,720
+مابلزمنيش الان ليش بلزمنيش لأن مافيش قوة بتأثر
+
+324
+00:28:50,720 --> 00:28:52,700
+عليه الان
+
+325
+00:28:54,340 --> 00:28:59,620
+نجل الجسم الأول او واحد في عندى من المنتصف هنا في
+
+326
+00:28:59,620 --> 00:29:05,100
+وزنه او واحد في الجسم اللى فوق عندى مربوط بخيط كإن
+
+327
+00:29:05,100 --> 00:29:10,160
+واحد ماسك و ساحبه إلى أعلى اللى هو الشد T لذا في
+
+328
+00:29:10,160 --> 00:29:14,100
+عندى قوة لأسفل اللى ال weight وفي عندى حاجة ال
+
+329
+00:29:14,100 --> 00:29:19,670
+tension اللى هي الشد tension إلى أعلىنجي ل أم
+
+330
+00:29:19,670 --> 00:29:24,070
+اتنين نفس الطريقة أم اتنين في ال G الى أسفل ال
+
+331
+00:29:24,070 --> 00:29:28,710
+weight و عند ال tension لوين؟ الى أعلى لذا هنا كان
+
+332
+00:29:28,710 --> 00:29:35,210
+في شد T و هنا كمان في T طيب هذا ال T لو أنا سألت
+
+333
+00:29:35,210 --> 00:29:42,390
+سؤال مش كل فعل له رد فعل وين؟ T مساوية لها تماما و
+
+334
+00:29:42,390 --> 00:29:48,590
+معاكسة لها في الاتجاه بتأثر على إيش؟ على البكرةأو
+
+335
+00:29:48,590 --> 00:29:55,310
+على المنطقة هذه في شد لتحت مساوين له طيب هنا لأ تي
+
+336
+00:29:55,310 --> 00:30:01,310
+في كمان تي هنا وهذا هندرسه في شفتر تمانية بالتفصيل
+
+337
+00:30:01,310 --> 00:30:05,750
+و هيكون مختلفات و فهذا تي واحد و تي اتنين واحد فعل
+
+338
+00:30:05,750 --> 00:30:10,890
+والتاني ماله رد فعل اي نقطة على الحبل هنا في لها
+
+339
+00:30:10,890 --> 00:30:16,170
+نقطة في تنشي لأسفل و في تنشي لفوق تمشي داخللو كان
+
+340
+00:30:16,170 --> 00:30:20,070
+ال tension يعني تقريبا الحبل هيوم ما زال الحبل
+
+341
+00:30:20,070 --> 00:30:23,590
+مشدود في شد بهذا الاتجاه وشد بهذا الاتجاه التانية
+
+342
+00:30:23,590 --> 00:30:27,230
+متساويات ومالها متعاكسين
+
+343
+00:30:28,200 --> 00:30:34,460
+نرجع للمسألة T أعلى للجسم الأولاني و T أعلى للجسم
+
+344
+00:30:34,460 --> 00:30:37,860
+الثاني الحركة موجودة هذه اتجاه الحركة اتجاهها
+
+345
+00:30:37,860 --> 00:30:43,420
+الأسفل وهذه اتجاه الحركة هذه A وهذه A بعد ما أرسم
+
+346
+00:30:43,420 --> 00:30:46,800
+ال free body diagram لجميع القوة اللي بتأثر على
+
+347
+00:30:46,800 --> 00:30:50,220
+الجسم باجأ أطبق قوانين الحركة و لاحظوا الحركة
+
+348
+00:30:50,220 --> 00:30:54,680
+بتطبقها في اتجاه من في اتجاه ال Yهذه اتجاه ال y
+
+349
+00:30:54,680 --> 00:30:59,280
+عنده فيه وهذه اتجاه ال y نقول هنا الموجب ناخد
+
+350
+00:30:59,280 --> 00:31:05,480
+الجسم الأول موجب وهذا الجسم التاني الموجب يعني
+
+351
+00:31:05,480 --> 00:31:08,100
+الجسم الأول بدي اعمله معادلاته والجسم التاني بدي
+
+352
+00:31:08,100 --> 00:31:13,500
+اعمله معادلاته بدي اخد للجسم الأول اقول summation
+
+353
+00:31:13,500 --> 00:31:15,380
+لل force for m واحد
+
+354
+00:31:18,730 --> 00:31:23,650
+for M1 انا بتكلم sumational force بتساوي M واحد في
+
+355
+00:31:23,650 --> 00:31:28,730
+ال A هاي M واحد في ال A ايش القوة المؤثرة عليه M
+
+356
+00:31:28,730 --> 00:31:32,830
+واحد ناقص
+
+357
+00:31:32,830 --> 00:31:38,910
+T M واحد مع ال acceleration أخدتها بالموجة ناقص T
+
+358
+00:31:38,910 --> 00:31:44,010
+بتساوي M واحد في ال A وهذه معادلة للجسم الأول
+
+359
+00:31:44,010 --> 00:31:49,820
+وبيسميها رقم واحدللجسم التاني بنفس الكيفية هذا
+
+360
+00:31:49,820 --> 00:31:55,660
+الجسم التاني ايش في عنده summation لل force هذا
+
+361
+00:31:55,660 --> 00:32:02,620
+for m واحد هذا for m اتنين ال summation لل force
+
+362
+00:32:02,620 --> 00:32:06,560
+بتساوي m اتنين في ال a مجموعة القوة المؤثرة على
+
+363
+00:32:06,560 --> 00:32:14,720
+الجسم التاني ساوي كتلته بتسارع ومنها بساوي
+
+364
+00:32:17,770 --> 00:32:29,350
+كما قواند T الى اعلى ناقص M2G M2A
+
+365
+00:32:29,350 --> 00:32:37,430
+وهذا المعادل رقم اتنين بس في ملاحظة لو انا اخدت
+
+366
+00:32:37,430 --> 00:32:41,270
+هذا الاتجاه الموجب لو اخدنا الاتجاه التحت الموجب
+
+367
+00:32:41,270 --> 00:32:47,290
+بتغيريعني لو أخدنا الاتنين اتجاه واحد، ايش هيصير
+
+368
+00:32:47,290 --> 00:32:52,470
+عندكم؟ فقط لو كان اتجاه بيصير عند M اتنين، في الـG
+
+369
+00:32:52,470 --> 00:32:59,920
+ناقص T، والـacceleration وين اتجاهها؟الأعلى بقول
+
+370
+00:32:59,920 --> 00:33:03,960
+ناقص ام اتنين في اللي ايش الفرق بين هذه المعادلة و
+
+371
+00:33:03,960 --> 00:33:07,620
+هذه المعادلة إشارة مالها إشارة كأن ضربتها بإشارة
+
+372
+00:33:07,620 --> 00:33:12,320
+سالبة و مش هتأثر على الحل فلذلك دائما أسهل لكم في
+
+373
+00:33:12,320 --> 00:33:17,420
+الحل خد لاتجاه الحركة هو لاتجاه الموجب عكس الحركة
+
+374
+00:33:17,420 --> 00:33:24,420
+هو لاتجاه السلب بجمع واحد و اتنين واحد و اتنين
+
+375
+00:33:30,890 --> 00:33:37,630
+M1-M2G M1A
+
+376
+00:33:37,630 --> 00:33:45,090
+M2A M1
+
+377
+00:33:45,090 --> 00:33:52,650
+-M2G M1A M2Aفي الـ G بيساوي M1 زاد M2 في الـ A
+
+378
+00:33:52,650 --> 00:34:03,170
+ومنها مباشرة الـ A بتساوي M1 ناقص M2 على M1 زاد M2
+
+379
+00:34:03,170 --> 00:34:08,770
+في الـ G إذا هيك أنا حسبت الـ acceleration لو أنا
+
+380
+00:34:08,770 --> 00:34:12,190
+بدي أحسب الشد ال tension اللي هنا اللي هو نفسه ال
+
+381
+00:34:12,190 --> 00:34:17,310
+tension اللي هنالو بدأ أحسب الشد كيف بدأ أحسب الشد
+
+382
+00:34:17,310 --> 00:34:23,010
+بدأ أقول الشد من أي معادلة بعد ما طلع قيمة ال a
+
+383
+00:34:23,010 --> 00:34:27,130
+بعوض عن ال a في المعادلة الأولى أو عن ال a في
+
+384
+00:34:27,130 --> 00:34:30,850
+المعادلة التانية يعني بعوض عن قيمة ال a اللي هنا
+
+385
+00:34:30,850 --> 00:34:35,210
+وبنجل ال mg على الطرف التاني أو بعوض عن قيمة ال a
+
+386
+00:34:35,210 --> 00:34:39,470
+اللي أنا طلعتها اللي هي عبارة عن M1 نقص M2 على M1
+
+387
+00:34:39,470 --> 00:34:40,270
+زاد M2
+
+388
+00:34:49,310 --> 00:34:54,290
+ماشي الحال يعطيكوا العافية المحاضرة الجاي بنكمل
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/XkUur5FrU4k_raw.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/XkUur5FrU4k_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..2ec019e2d22191d130719b6e53b1d415a3ca1ee2
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/XkUur5FrU4k_raw.srt
@@ -0,0 +1,1552 @@
+1
+00:00:05,230 --> 00:00:09,350
+السلام عليكم و يعطيكم العافية ان شاء الله اليوم
+
+2
+00:00:09,350 --> 00:00:12,630
+هنكمل chapter .. هنبدأ في chapter أربعة chapter
+
+3
+00:00:12,630 --> 00:00:19,010
+أربعة طبعا بتكلم عن newtons law of motion طبعا
+
+4
+00:00:19,010 --> 00:00:23,330
+chapter أربعة هنلاقي فيه مصطلحات جديدة هنلاقي فيه
+
+5
+00:00:23,330 --> 00:00:27,910
+كميات فيزيائية جديدة أول هذه الكميات الفيزيائية
+
+6
+00:00:27,910 --> 00:00:31,850
+اللي هنلاقيها في chapter أربعة اللي هي ال force
+
+7
+00:00:31,850 --> 00:00:40,410
+إذا لما أقول ال forceال force when a body affect a
+
+8
+00:00:40,410 --> 00:00:45,210
+second body لو فينا جسم أثر على جسم تاني تأثيره
+
+9
+00:00:45,210 --> 00:00:50,870
+على الجسم التاني بنقول the first body exert a
+
+10
+00:00:50,870 --> 00:00:55,230
+force on the second يعني الأولاني أثر على التاني
+
+11
+00:00:55,230 --> 00:01:00,250
+بقوة أي جسمين كانوا واحد أثر على التاني أيا كان
+
+12
+00:01:00,250 --> 00:01:05,310
+هذا التأثير فالأول بيأثر على التاني بقوةهذه هي
+
+13
+00:01:05,310 --> 00:01:12,430
+القوة طبعا احنا لو يجينا معلوماتنا السابقة ان اي
+
+14
+00:01:12,430 --> 00:01:18,200
+جسمساكن مثلا كان ساكن او متحرك اذا بدي هذا الجسم
+
+15
+00:01:18,200 --> 00:01:24,500
+احركه بدي اثر عليه بقوة لو كان متحرك بدي اثر عليه
+
+16
+00:01:24,500 --> 00:01:31,120
+بقوة حتى اوقفه اذا حتى اغير حالته من السكون او
+
+17
+00:01:31,120 --> 00:01:36,500
+الحركة لازم ايش اعمل اثر عليه بقوة اذا القوة هي
+
+18
+00:01:36,500 --> 00:01:42,880
+ايش بتعمل للجسم بتغير من حالته change its stateof
+
+19
+00:01:42,880 --> 00:01:49,740
+a uniform motion من حركة منتظمة إلى أو rest ال
+
+20
+00:01:49,740 --> 00:01:54,100
+force فيه أنواع من ال force ال force إلها نوعين
+
+21
+00:01:54,100 --> 00:02:01,280
+إما ال force تكون contact force أو a field force
+
+22
+00:02:01,280 --> 00:02:06,240
+يعني contact force فيه اندقوا جسمين وصار بينهم
+
+23
+00:02:06,240 --> 00:02:13,570
+تلامسهذه القوة أثرت مباشرة من خلال ملامس هذا الجسم
+
+24
+00:02:13,570 --> 00:02:17,950
+الأول أو الجسم التاني الجسم الأول لامس الجسم
+
+25
+00:02:17,950 --> 00:02:24,470
+التاني لكن أحيانا القوة هذه بتكون ناشئة من مجال
+
+26
+00:02:24,470 --> 00:02:28,210
+يعني انا ماعرف في عندى مجال الجاذبية الأرضية هذا
+
+27
+00:02:28,210 --> 00:02:32,790
+الجسم يتأثر بمجال الجاذبية الأرضية هل في تلامس؟ لأ
+
+28
+00:02:32,790 --> 00:02:37,940
+مثال آخر لو في عندى أنا مغناطيسفي اندمجها
+
+29
+00:02:37,940 --> 00:02:43,080
+للمغناطيس الأولان ومجال المغناطيس أو قطعة حديد إذا
+
+30
+00:02:43,080 --> 00:02:48,160
+وقعت القطعة الحديد في مجال المغناطيس تتأثر بقوة،
+
+31
+00:02:48,160 --> 00:02:52,380
+لكن حتى بدون تلامس، فلقيا انسحبت أو اتأثرت الاتجاه
+
+32
+00:02:52,380 --> 00:02:58,100
+انسحبت في اتجاه المغناطيسهذا مجال مغناطيسي أو مجال
+
+33
+00:02:58,100 --> 00:03:03,360
+كهربي يؤثر على الجسم بدون ملامسة، مجال موجود، مجال
+
+34
+00:03:03,360 --> 00:03:09,340
+الجاذبية موجود، بتأثر هذا الجسم بمجال الجاذبي، إذا
+
+35
+00:03:09,340 --> 00:03:13,850
+نقوه عنده؟نوعين يا إما contact force و ال contact
+
+36
+00:03:13,850 --> 00:03:19,470
+force بيصير لها مباهة physical contact أو field
+
+37
+00:03:19,470 --> 00:03:25,450
+force و ال field force بيصير عنده بدون .. بدون
+
+38
+00:03:25,450 --> 00:03:29,490
+اتصال بين إيش؟ بين الجسمين و أمثلة عليها
+
+39
+00:03:29,490 --> 00:03:34,750
+gravitational force أو magnetic force أو electric
+
+40
+00:03:34,750 --> 00:03:39,150
+force طبعا احنا بنتكلم الآن على ال force ال force
+
+41
+00:03:39,150 --> 00:03:44,190
+هي كميةphysical quantity طيب physical quantity
+
+42
+00:03:44,190 --> 00:03:48,350
+احنا جسمناهم جسمين قولت يا اما scalar يا اما
+
+43
+00:03:48,350 --> 00:03:52,570
+vector ال force في هذا الحال عبارة عن ايش vector
+
+44
+00:03:52,570 --> 00:03:58,410
+quantity لذا لما اقول force كأن بقول physical
+
+45
+00:03:58,410 --> 00:04:05,190
+quantity كمية فيزيائية لكن vector طيب vector
+
+46
+00:04:05,190 --> 00:04:10,970
+quantityالوحدة المستخدمة لقياسها زي ما انتوا
+
+47
+00:04:10,970 --> 00:04:16,950
+عارفين لنيوتن طبعا لنيوتن هو اسم عالم لنيوتن لكن
+
+48
+00:04:16,950 --> 00:04:21,870
+هي مشتق احنا قولنا جميع الوحدات تشتق من تلت وحدات
+
+49
+00:04:21,870 --> 00:04:32,950
+أساسية اللي هي kilogram و طول متر و time هلاجي من
+
+50
+00:04:32,950 --> 00:04:38,100
+لنيوتن لما نجي نقودها الآن و رمزها بالانهلاج فيها
+
+51
+00:04:38,100 --> 00:04:43,600
+kilogram و في عند متر و في second إذا اللي نيوتن
+
+52
+00:04:43,600 --> 00:04:52,420
+واحد نيوتن سوى kilogram في متر على second squareزي
+
+53
+00:04:52,420 --> 00:04:55,340
+الواحد نيوتن عبارة عن كيلو جرام متر في second
+
+54
+00:04:55,340 --> 00:05:00,540
+square وحنشوفها لما نشوف الصيغة الرياضية لل force
+
+55
+00:05:00,540 --> 00:05:03,840
+او كيف انا بده اعرف ال force او احسب ال force من
+
+56
+00:05:03,840 --> 00:05:07,060
+اي معادلات موجودة عندى حلاجي لما احط المعادلة
+
+57
+00:05:07,060 --> 00:05:12,680
+حلاجي فيها kilogram اللي هو عبارة عن mass متر
+
+58
+00:05:12,680 --> 00:05:17,640
+عبارة عن طول و second عبارة عن time squareو لو
+
+59
+00:05:17,640 --> 00:05:21,340
+جينا نطلع عليها قبل ما نكمل احنا هلاقي ال kilogram
+
+60
+00:05:21,340 --> 00:05:25,460
+mass متر على second square يعني عبارة عن
+
+61
+00:05:25,460 --> 00:05:30,060
+acceleration إذا ال force هيكون قانونها كأنه متر
+
+62
+00:05:30,060 --> 00:05:35,560
+في مين في accelerationطبعا احنا في عنده يا اما اذا
+
+63
+00:05:35,560 --> 00:05:38,620
+استخدمت ال kilogram او استخدمت ال gram ال
+
+64
+00:05:38,620 --> 00:05:41,660
+centimeter ال second gram و centimeter و second
+
+65
+00:05:41,660 --> 00:05:45,580
+بيطلع الوحدة المستخدمة اللي هي ال dime اذا ال dime
+
+66
+00:05:45,580 --> 00:05:50,300
+في علاقة طبعا علاقتها باسفع ال dime لل newton
+
+67
+00:05:50,300 --> 00:05:54,680
+علاقتها لو جيت احول ال kilogram عند ال kilogram
+
+68
+00:05:54,680 --> 00:06:02,840
+لما احوله بيطلع الف gramالمتر عبارة عن ميت سنتمتر
+
+69
+00:06:02,840 --> 00:06:13,440
+السكن زي ما هي اذا بيصير عندى عشر عقوس خمسة اجرام
+
+70
+00:06:13,440 --> 00:06:20,160
+سنتمتر second square هذه الداين
+
+71
+00:06:28,030 --> 00:06:39,750
+أو بعمل إزاحة للفاصلة بقدرش بخمس خنات نجي
+
+72
+00:06:39,750 --> 00:06:43,890
+نتكلم عن ال Newton's first law أول حاجة بيقول
+
+73
+00:06:43,890 --> 00:06:48,010
+الشبطر هذا نيوتن و إذا اتكلمت على القوة بتدكلم
+
+74
+00:06:48,010 --> 00:06:53,430
+مباشرة على مينعلى قوانين نيوتن التلاتة طبعا قوانين
+
+75
+00:06:53,430 --> 00:06:58,330
+نيوتن التلاتة مرت عليكم اول قانون اللي هم يسميه
+
+76
+00:06:58,330 --> 00:07:02,450
+the first law اذا ذكروا القانون النيوتن الاول
+
+77
+00:07:02,450 --> 00:07:09,510
+هتقولونه مباشرة الجسم اي object بيضلوا على نفس
+
+78
+00:07:09,510 --> 00:07:15,310
+الحالة يا اما حركة يا اما سكون ال statement لها
+
+79
+00:07:16,440 --> 00:07:23,580
+rest او uniform motion until حتى يتم تأثير قوة
+
+80
+00:07:23,580 --> 00:07:30,450
+عليه هذه القوة شو بتعمل؟ بتغير في مين في حالتهقوة
+
+81
+00:07:30,450 --> 00:07:33,530
+خارجية إذا أثرت على الجسم بتغير في حالته، إذا
+
+82
+00:07:33,530 --> 00:07:37,210
+كنتوا تقولوا يبقى الجسم على حالته من السكون أو
+
+83
+00:07:37,210 --> 00:07:44,250
+الحركة ما لم تؤثر عليه قوة خارجية تغير من حالته،
+
+84
+00:07:44,250 --> 00:07:47,850
+يعني هاي الجسم ساكن، لازم تيجي قوة خارجية إيش
+
+85
+00:07:47,850 --> 00:07:52,790
+تعمله؟ تغير من حالته و تغيره من حالة سكون لحالة
+
+86
+00:07:52,790 --> 00:07:58,870
+حركةطبعا ال Newton's law بيسموها او ممكن اقول ان
+
+87
+00:07:58,870 --> 00:08:02,570
+هي عبارة عن frame يعني في عندي ال frame ايش هو
+
+88
+00:08:02,570 --> 00:08:06,130
+نقطة زي ال frame في ال x و ال y و ال z نقطة نقطة
+
+89
+00:08:06,130 --> 00:08:10,850
+مرجع نقطة مرجع ال Newton's law هو اللي بعتبره ايه
+
+90
+00:08:10,850 --> 00:08:16,670
+اذا كان في عندي acceleration the first law بنسميه
+
+91
+00:08:16,670 --> 00:08:23,030
+inertia inertia frameInertia frame طيب في عندي
+
+92
+00:08:23,030 --> 00:08:28,710
+حاجتين ال mass و ال inertia ايش الفرق بينهم؟الماس
+
+93
+00:08:28,710 --> 00:08:34,630
+من الانيرشيا طبعا الانيرشيا هي property of matter
+
+94
+00:08:34,630 --> 00:08:39,950
+خاصية من خواص المادة خاصية من خواص المادة زي اي
+
+95
+00:08:39,950 --> 00:08:44,230
+خاصية انتوا عارفينها زي درجة الحرارة طبعا هذه
+
+96
+00:08:44,230 --> 00:08:49,190
+خاصية من خواص المادة لذا ال inertia هي خاصية من
+
+97
+00:08:49,190 --> 00:08:56,010
+خواص المادة مش بتعمل resist that change of state
+
+98
+00:08:56,010 --> 00:09:01,400
+of its stateand mass of measured inertia يعني
+
+99
+00:09:01,400 --> 00:09:07,400
+العلاقة بين ال inertia و ال mass تعتبر ال inertia
+
+100
+00:09:07,400 --> 00:09:15,280
+خاصية من خاص المادة طبعا تقاس بمين بالكتلة ال mass
+
+101
+00:09:15,280 --> 00:09:19,140
+طبعا احنا عارفينها انها scalar quantity scalar
+
+102
+00:09:19,140 --> 00:09:24,740
+quantity وحدة قياسها بال kilogram او بالجرام تبعا
+
+103
+00:09:24,740 --> 00:09:31,850
+لل system اللي أنا بستخدمهطبعا فى ملاحظة هنا فى
+
+104
+00:09:31,850 --> 00:09:37,650
+عندى هنا different اختلاف بين ال mass و ال weight
+
+105
+00:09:37,650 --> 00:09:46,130
+ال mass كمية فزيائية اسكالة قياسية أما ال weight
+
+106
+00:09:46,130 --> 00:09:52,380
+كمية فزيائية مالهاكمية فزيائية متجهة كمية فزيائية
+
+107
+00:09:52,380 --> 00:09:58,120
+تعتبر قوة اتجاهها لو انت تأثير من الجاذبية اذا ال
+
+108
+00:09:58,120 --> 00:10:04,920
+mass عبارة عن عبارة عن كمية فزيائية مقدرها ثابت و
+
+109
+00:10:04,920 --> 00:10:12,620
+المجموعة واحد طن واحد طن everywhere لكن ال weight
+
+110
+00:10:12,620 --> 00:10:18,530
+يختلف ال weight عبارة عن ايش الوزن مرة كتلةفى ال
+
+111
+00:10:18,530 --> 00:10:25,290
+gravity M G لاحظوا ان ال gravity قد تختلف باختلاف
+
+112
+00:10:25,290 --> 00:10:29,230
+المكان إذا أنا طلعت لفوق ال gravity بتبدأ مالها
+
+113
+00:10:29,230 --> 00:10:34,790
+اتقل للمناطق المرتفعة ال gravity بتقل فيها إذا ال
+
+114
+00:10:34,790 --> 00:10:39,450
+gravity تختلف تبعا للارتفاع اللى موجود عندى من سطح
+
+115
+00:10:39,450 --> 00:10:43,750
+الأرض إذا مباشرة إلها ال weight بختلف تبعا
+
+116
+00:10:43,750 --> 00:10:48,300
+للارتفاع إذا ال gravity اختلفتاختلف ال weight من
+
+117
+00:10:48,300 --> 00:10:53,980
+منطقة لمنطقة أخرى نيجي الأن نتكلم على ال second
+
+118
+00:10:53,980 --> 00:11:01,080
+law ال second law مجموع
+
+119
+00:11:01,080 --> 00:11:08,420
+القوة اللي بتأثر على الجسم بتتناسب تناسبا طرديا مع
+
+120
+00:11:08,420 --> 00:11:11,060
+مين؟ مع ال acceleration
+
+121
+00:11:13,390 --> 00:11:18,210
+التناسب لـ acceleration direct proportional of net
+
+122
+00:11:18,210 --> 00:11:25,210
+forceو تتناسب عكسيا مع ال mass طبعا لما نيجي ال
+
+123
+00:11:25,210 --> 00:11:31,150
+summation لل force طبعا لو انا اندي اي جسم اثرت
+
+124
+00:11:31,150 --> 00:11:38,250
+عليه بمجموعة من القوة F1 F2 F3 مجموعة هذه القوة
+
+125
+00:11:38,250 --> 00:11:43,370
+المؤثرة على الجسم تساوي ال mass الكتلة في مين في
+
+126
+00:11:43,370 --> 00:11:49,190
+تسارع هذا الجسم طبعا احنا بتتكلم عن vectorإذا لما
+
+127
+00:11:49,190 --> 00:11:53,170
+يكون vector في عنده x component تساوي ال vector
+
+128
+00:11:53,170 --> 00:11:56,790
+لازم ال x component مع ال x component و ال y
+
+129
+00:11:56,790 --> 00:11:59,190
+component ال summation لل force في ال y component
+
+130
+00:11:59,190 --> 00:12:04,410
+بيساوي ال summation لل m في ال a و ال y كذلك ال
+
+131
+00:12:04,410 --> 00:12:07,290
+summation لل force في ال z component بيساوي الكتلة
+
+132
+00:12:07,290 --> 00:12:13,670
+في التسارع اللي في اتجاه ال z نجح
+
+133
+00:12:13,670 --> 00:12:14,730
+للقانون التالد
+
+134
+00:12:17,300 --> 00:12:22,800
+مر every action there is an equal but opposite
+
+135
+00:12:22,800 --> 00:12:28,640
+reaction يعني لكل فعل في فعل و في اندي حاجة إيش رد
+
+136
+00:12:28,640 --> 00:12:36,220
+فعل لكل فعل لكل فعل رد فعل لكل فعل رد فعل ماله
+
+137
+00:12:36,220 --> 00:12:40,980
+مساوين له في المقدار طب مساوين له في المقدار لكن
+
+138
+00:12:40,980 --> 00:12:48,230
+اتجاه وين لو أنا جيبي الدبوس وضغطت عليه بيديانا
+
+139
+00:12:48,230 --> 00:12:52,850
+بضغط على الدبوس لكن بهذا الاتجاه الدبوس before في
+
+140
+00:12:52,850 --> 00:12:58,430
+مين؟ في الاتجاه إيش؟ المعاكس أو إبرة، الإبرة ضغطت
+
+141
+00:12:58,430 --> 00:13:02,910
+عليها بهذا الاتجاه، الإبرة مالها؟ بتفوت في إيدي في
+
+142
+00:13:02,910 --> 00:13:07,800
+الاتجاه المعاكس، هذا فعلواحد action والتانى ماله
+
+143
+00:13:07,800 --> 00:13:12,920
+reaction والتانى مالهم متساويين في القيمة كل ما
+
+144
+00:13:12,920 --> 00:13:17,600
+كان الضغط أكثر كل ما كان رد الفعل ايش ماله أكثر
+
+145
+00:13:17,600 --> 00:13:22,500
+اذا واحد action والتانى ايش reaction التنتين ال
+
+146
+00:13:22,500 --> 00:13:28,100
+action و ال reaction ايش equal واحد بسميه تأثير
+
+147
+00:13:28,100 --> 00:13:31,860
+الأول على التانى والتانى تأثير التانى على الأول
+
+148
+00:13:31,860 --> 00:13:37,710
+هذا الجسم مع هذا الجسم أثروا بقوةهنا عندي F واحد
+
+149
+00:13:37,710 --> 00:13:42,750
+واحد على اتنين واحد اثر على اتنين لكن ال reaction
+
+150
+00:13:42,750 --> 00:13:48,890
+اتنين اثر على واحد معاكس له في الاتجاه ال action
+
+151
+00:13:48,890 --> 00:13:52,510
+بهذا الشكل ال reaction عكس التاني متساويين في
+
+152
+00:13:52,510 --> 00:13:57,410
+القيمة لكن اتجاههم ايش هذا force vector
+
+153
+00:14:15,630 --> 00:14:22,730
+الاتجاه متعكسطيب كمان مرة بدأ أعيد لكل فعل رد فعل
+
+154
+00:14:22,730 --> 00:14:26,810
+مساوي له في المقدار ومعاكس له في الاتجاه وبدأ أقول
+
+155
+00:14:26,810 --> 00:14:31,210
+ويؤثر على الجسم الآخر، إذا ال action و ال reaction
+
+156
+00:14:31,210 --> 00:14:36,190
+كل واحد بيأثر على مين؟ على جسم، واحد أثر على
+
+157
+00:14:36,190 --> 00:14:41,430
+اتنين، اتنين أثر على مين؟ على واحد، واتنين ما لهم
+
+158
+00:14:41,430 --> 00:14:46,900
+متساويين في القيمة ومتعاكسين في الاتجاهفي حاجة
+
+159
+00:14:46,900 --> 00:14:51,360
+بتلزمني دايما في حل المسائل أو في معرفة القوة اللي
+
+160
+00:14:51,360 --> 00:14:55,700
+بتأثر على الجسم اللي بسميها ال free body diagram
+
+161
+00:14:55,700 --> 00:15:01,660
+ال free body diagram هو رسم diagram لمين لجميع
+
+162
+00:15:01,660 --> 00:15:08,320
+القوة all the forces action on the body أي جميع
+
+163
+00:15:08,320 --> 00:15:13,540
+القوة اللي بتأثر على الجسم بدليش أعمل بدي أرسمها
+
+164
+00:15:13,540 --> 00:15:18,780
+على هذا الجسميعني أنا قول أدرس هذا الجلم اللي
+
+165
+00:15:18,780 --> 00:15:24,300
+موجود على الطاولة، بدي أرسم جميع القوة المؤثرة على
+
+166
+00:15:24,300 --> 00:15:26,800
+هذا الجسم، طب الطاولة بتلزمني أرسم القوة المؤثرة
+
+167
+00:15:26,800 --> 00:15:30,200
+عليها؟ لأ، أنا مازال بدي أدرس الجلم ماليش علاقة
+
+168
+00:15:30,200 --> 00:15:35,290
+بالطاولةلكن إلي علاقة بتأثير الطاولة على مين؟ على
+
+169
+00:15:35,290 --> 00:15:39,050
+القلم، إذا في قوة بتأثر من الطاولة على القلم،
+
+170
+00:15:39,050 --> 00:15:42,830
+بتلزمنا، لكن من القلم على الطاولة، أنا مازال ما
+
+171
+00:15:42,830 --> 00:15:46,650
+درستش الطاولة إيش ما ليش علاقة، بارسمهاش، إذا
+
+172
+00:15:46,650 --> 00:15:50,750
+بارسم جميع القوة المؤثرة على إيش؟ على هذا الجسم،
+
+173
+00:15:50,750 --> 00:15:55,870
+جميع القوة المؤثرة على هذا الجسم، وماليش علاقة في
+
+174
+00:15:55,870 --> 00:16:00,170
+مين في القوة اللي مؤثرة على الجسم الآخر اللي أنا
+
+175
+00:16:00,170 --> 00:16:05,610
+بدرسوشلو انا في عندى مسألة و بدى حلها ايش بدى اعمل
+
+176
+00:16:05,610 --> 00:16:10,550
+حتى حل هذه المسألة في نقاط محددة بدى اخدها بعين
+
+177
+00:16:10,550 --> 00:16:16,050
+الاعتبار حتى حل هذه المسألة اول حاجة بدى اختار
+
+178
+00:16:16,050 --> 00:16:22,190
+coordinate system بدى اختار محاور انا بعرف ان في
+
+179
+00:16:22,190 --> 00:16:29,810
+عندى محور X محور X ومحور Yمحور X عارفينه اتجاه
+
+180
+00:16:29,810 --> 00:16:36,250
+موجبه له واتجاه سالب Y موجب Y سالب جميع القوى
+
+181
+00:16:36,250 --> 00:16:40,550
+الموجودة عنده بيكون تحليلها او موجودة في اتجاه X
+
+182
+00:16:40,550 --> 00:16:41,910
+او في اتجاه Y
+
+183
+00:16:46,950 --> 00:16:50,850
+تلزمني ان احللها او اجدها في اتجاه ال X و اتجاه ال
+
+184
+00:16:50,850 --> 00:16:55,950
+Y اذا في البداية بلزمني اتاخد ايش محور X و محور Y
+
+185
+00:16:55,950 --> 00:17:00,290
+و اعرف وين ال positive direction منه و ال negative
+
+186
+00:17:00,290 --> 00:17:04,650
+direction و ال positive direction و ال positive
+
+187
+00:17:04,650 --> 00:17:08,370
+direction دائما باخده في اتجاه ال acceleration
+
+188
+00:17:08,370 --> 00:17:13,140
+اريحلي في حلل مثلاو بنفع تاخد اي اتجاه لكن لما
+
+189
+00:17:13,140 --> 00:17:19,440
+تسهل .. بتسهل مسألة تاخد ال positive في اتجاه ..
+
+190
+00:17:19,440 --> 00:17:23,520
+في اتجاه اللي هو ال acceleration يعني جميع القوة
+
+191
+00:17:23,520 --> 00:17:28,220
+لو انا فيها اندي جسم أثرت عليه القوة بهذا الاتجاه
+
+192
+00:17:28,220 --> 00:17:35,380
+high F هذا كتل توم M الان ممكن ان انا اخد هذا
+
+193
+00:17:35,380 --> 00:17:39,960
+الاتجاه هو الاتجاه ايه يا شباب؟الموجب والجسم بتحرك
+
+194
+00:17:39,960 --> 00:17:43,980
+بـ acceleration قيمتها A إذا باخد هذا الاتجاه هو
+
+195
+00:17:43,980 --> 00:17:47,520
+الموجب بينفع لو أخدت هذا سالب يعني بقول summation
+
+196
+00:17:47,520 --> 00:17:53,440
+لل force بتساوي M في A تبعا لل second law ال force
+
+197
+00:17:53,440 --> 00:17:59,840
+وين اتجاهها ولا تكن أي ان كانت القيمة قيمتها F إذا
+
+198
+00:17:59,840 --> 00:18:05,840
+بقول F بالموجب لأن اتجاهها موجب أخدته بيساوي ال M
+
+199
+00:18:05,840 --> 00:18:12,210
+scalarالـ A بنفس الاتجاه الموجب إذا الموجب طب لأ
+
+200
+00:18:12,210 --> 00:18:16,450
+أنا أخدت هذا بالسالب بتغير الحل سالب F سواء M ال
+
+201
+00:18:16,450 --> 00:18:20,490
+acceleration واتجاهها سالب A سالب مع السالب عشان
+
+202
+00:18:20,490 --> 00:18:25,070
+لكن أسهل بتروح لكن أسهل إن أخد اتجاه ال
+
+203
+00:18:25,070 --> 00:18:28,010
+acceleration أو اتجاه الحركة اللي موجود عنده هو
+
+204
+00:18:28,010 --> 00:18:33,450
+الاتجاه الموجب عكسه الاتجاه بيكون الاتجاه السالب
+
+205
+00:18:33,580 --> 00:18:44,820
+محاور تحدد الموجب و تحدد السالب الموجب رقم
+
+206
+00:18:44,820 --> 00:18:49,520
+اتنين ارسم ال free body diagram جميع القوى المؤثرة
+
+207
+00:18:49,520 --> 00:18:59,100
+على هذا الجسم رقم تلاتة اجيب ال component
+
+208
+00:19:02,600 --> 00:19:06,280
+coordinate يعني بدي اختار ال coordinate و بدي
+
+209
+00:19:06,280 --> 00:19:09,480
+اختار ال X component للقوة و ال Y component للقوة
+
+210
+00:19:09,480 --> 00:19:14,180
+يعني لو في عندنا force بهذا الاتجاه هاي الجسم أثرت
+
+211
+00:19:14,180 --> 00:19:18,980
+عليه القوة بهذا الاتجاه F بزاوية مقدرها تيتا مثلا
+
+212
+00:19:18,980 --> 00:19:25,300
+ال F زي هيكا ايش بدي اعملبدي اجيب ال F cos θ و F
+
+213
+00:19:25,300 --> 00:19:30,180
+sin θ تبع لل coordinate system اللي انا اخدته مين
+
+214
+00:19:30,180 --> 00:19:35,580
+موجب و مين سالم اذا هنا بيصير كأنه في عندي Fx و
+
+215
+00:19:35,580 --> 00:19:40,680
+كأنه في عندي Fy اذا في عندي مراكبة في اتجاه ال X و
+
+216
+00:19:40,680 --> 00:19:45,500
+مراكبة في اتجاه ال Y رقم 4 بدي اعرف المواد احط
+
+217
+00:19:45,500 --> 00:19:48,900
+المعطيات اللي موجودة عندى ايش معطى عندى و ايش
+
+218
+00:19:48,900 --> 00:19:54,800
+الحاجة اللي انا مطلوب مني اوجدهاوبتطبق أخر حاجة
+
+219
+00:19:54,800 --> 00:20:03,970
+نيوتنز second law نجي ناخد مثالالمعرفة طبعا تطبيق
+
+220
+00:20:03,970 --> 00:20:08,170
+second law اللي هو نيوتنز second law اللي هو
+
+221
+00:20:08,170 --> 00:20:10,910
+القانون الرياضي اللي موجود عندي اللي هو summation
+
+222
+00:20:10,910 --> 00:20:16,210
+لفرصة ما لحساب المجهول ناخد سؤال او مثال بسيط جدا
+
+223
+00:20:16,210 --> 00:20:21,250
+و نحله و نشوف كيف انا بيدطبق هذه المواطيع الكلام
+
+224
+00:20:21,250 --> 00:20:29,490
+اللي انا قلته اول حاجة السؤال بيقول في عند جسم
+
+225
+00:20:32,950 --> 00:20:39,090
+كتلته تلاتة كيلو جرام موجود على horizontal smooth
+
+226
+00:20:39,090 --> 00:20:45,770
+surface سطح سطح أملس طبعا سطح أملس كمان شوية
+
+227
+00:20:45,770 --> 00:20:50,930
+هيجينا rough سطح خشنالسطح الخشن في قوة تانية
+
+228
+00:20:50,930 --> 00:20:54,690
+هناخدها في نهاية هذا الشبطة لذا انا بتكلم مسائل
+
+229
+00:20:54,690 --> 00:20:58,930
+اللي هتمر علي الان مش هتطرق فيها للسطح الخشن انا
+
+230
+00:20:58,930 --> 00:21:03,630
+فقط هتكلم كلهم على السطح الاملس لذا في عندي سطح
+
+231
+00:21:03,630 --> 00:21:10,310
+املس عليه صندوق او جسم او block وزنه او كتلته اسف
+
+232
+00:21:10,310 --> 00:21:15,130
+كتلته تلاتة كيلو جرام اثرت عليه بقوة ال force جداش
+
+233
+00:21:15,130 --> 00:21:22,520
+قيمتها بتساوي سحبتهالـ box بقوة horizontal with a
+
+234
+00:21:22,520 --> 00:21:28,260
+force قيمتها اتنين نيوتن اذا اثرت عليه القوة
+
+235
+00:21:28,260 --> 00:21:34,480
+قيمتها بتساوي اتنين نيوتن horizontal مع مستوى
+
+236
+00:21:34,480 --> 00:21:38,700
+السطح اول خطوة ايش بده اعمل بده ارسم ال free قبل
+
+237
+00:21:38,700 --> 00:21:43,380
+ما ارسم بده اخد المحاور و ارسم ال free بعد داالجسم
+
+238
+00:21:43,380 --> 00:21:47,220
+لو انا قلت متوقع يتحرك من الحركة هاي الحركة في هذا
+
+239
+00:21:47,220 --> 00:21:51,580
+الاتجاه اذا مباشرة بدي اخد اتجاه ال X زي هيكا
+
+240
+00:21:51,580 --> 00:21:59,400
+واتجاه ال Y هاي محور X ومحور Y رقم اتنين بدي اشوف
+
+241
+00:21:59,400 --> 00:22:02,340
+القوة المؤثرة على الجسم ايش القوة المؤثرة على
+
+242
+00:22:02,340 --> 00:22:08,260
+الجسم في عندي قوة قيمتها اتنين نيوتن افس او اتنين
+
+243
+00:22:08,260 --> 00:22:13,910
+نيوتن في عندي اول حاجة ال weightوزن هذا الجسم الى
+
+244
+00:22:13,910 --> 00:22:18,870
+أسفل دائما الوزن الى أسفل طبعا أنواع القوة كتير
+
+245
+00:22:18,870 --> 00:22:24,110
+جدا منها الوزن قولنا الوزن كمان مرة لما قرنا بين
+
+246
+00:22:24,110 --> 00:22:29,270
+ال math قولنا الوزن هو force اتجاهها لوين دائما
+
+247
+00:22:29,270 --> 00:22:34,550
+اتجاهها لوين لأسفل في عند هنا قانون نيوتن التالت
+
+248
+00:22:34,550 --> 00:22:40,190
+انا ضغطتي او الجسم ضاغط على الطاولةالطاولة .. لو
+
+249
+00:22:40,190 --> 00:22:45,170
+كان في أي إشي .. الطاولة إشي بتعمل، بترد فعل في
+
+250
+00:22:45,170 --> 00:22:51,230
+الاتجاه المعكس، هاس في إيدي بالنتوءات أو بالطاولة
+
+251
+00:22:51,230 --> 00:22:55,030
+أو برد فعل الطاولة، لو كان في عندي إبر أو حاجة
+
+252
+00:22:55,030 --> 00:22:58,570
+ضغطت عليها أو دبابيس ضغطت عليها، حلاج إش ماله، رد
+
+253
+00:22:58,570 --> 00:23:02,730
+فعل، وإن هذا action .. action هو ضغط على الطاولة،
+
+254
+00:23:02,730 --> 00:23:07,720
+ماليش علاقة فيهلكن في ايش reaction force اللي هي
+
+255
+00:23:07,720 --> 00:23:11,660
+بنسميها ال normal force وناشئة من وين ال normal
+
+256
+00:23:11,660 --> 00:23:16,800
+force من السطح على الجسم من نقطة التلامس بين السطح
+
+257
+00:23:16,800 --> 00:23:20,440
+الأول و السطح التاني بين ال box و بين ايش السطح
+
+258
+00:23:20,440 --> 00:23:23,360
+اللي موجود عندك السطح الأمنس لذا هنا في ال weight
+
+259
+00:23:23,360 --> 00:23:28,180
+و لاحظوا كمان نقطة بقول ال weight جبته من وين اذا
+
+260
+00:23:28,180 --> 00:23:34,540
+كان عندي شكل منتظم بيكون ال weight من مركزهذا
+
+261
+00:23:34,540 --> 00:23:41,960
+الجسمإذا الوزن لأسفل MG في عندنا normal force ناشئ
+
+262
+00:23:41,960 --> 00:23:47,040
+من السطح في اندقوه أثرت فيها وما أنساش أنه بدي أخد
+
+263
+00:23:47,040 --> 00:23:51,620
+اتجاه الموجب وين اتجاه الموجب الحركة المتوقعة هاي
+
+264
+00:23:51,620 --> 00:23:55,400
+ال acceleration إذا هذا هو اتجاه الموجب المحاور
+
+265
+00:23:55,400 --> 00:24:00,980
+ممكن أشيلها لإن أصبح عارف المحاور عندي محور X زي
+
+266
+00:24:00,980 --> 00:24:06,560
+هيك أخد اتجاه الموجب وهي ال Y كنبناالصميشن للفورس
+
+267
+00:24:06,560 --> 00:24:11,800
+في اتجاه ال X بيساوي M في AX وما أنساش اقول
+
+268
+00:24:11,800 --> 00:24:19,300
+الصميشن للفورس في اتجاه ال Y بيساوي M في AY لأن في
+
+269
+00:24:19,300 --> 00:24:26,530
+عندي X محور X وفي عندي محور Yمجموع القوة التي في
+
+270
+00:24:26,530 --> 00:24:36,830
+اتجاه الـ X مجموع القوة التي في اتجاه الـ X مجموع
+
+271
+00:24:36,830 --> 00:24:40,390
+القوة
+
+272
+00:24:40,390 --> 00:24:47,350
+التي في اتجاه الـ Xالكتلة أعطانيها تلاتة ال mass
+
+273
+00:24:47,350 --> 00:24:51,390
+في ال acceleration a x اللي أنا بدور عليها طبعا هو
+
+274
+00:24:51,390 --> 00:24:54,850
+قال لي find the acceleration of the box بدأ أوجد
+
+275
+00:24:54,850 --> 00:24:58,990
+ال acceleration لل box إذا ال a x بيساوي تلاتة a
+
+276
+00:24:58,990 --> 00:25:03,850
+ومنها بقدر أطلع ال a واتجاهها لوين في اتجاه ال x
+
+277
+00:25:03,850 --> 00:25:08,090
+زي ما أنا حددتها بيساوي اتنين ع تلاتة بال متر ع ال
+
+278
+00:25:08,090 --> 00:25:13,610
+second square لو جيت في اتجاه ال yهل الجسم متوقعين
+
+279
+00:25:13,610 --> 00:25:17,370
+يطلع فوق أو ينسل لتحت؟ لأ، هاي الجسم، حطيته على
+
+280
+00:25:17,370 --> 00:25:23,430
+الطاولة الجسم في اتجاه الـY ماله، بتحركش، لأ، ليه
+
+281
+00:25:23,430 --> 00:25:27,630
+اكسلريشن لفوق ولا اكسلريشن لوين؟ لتحت، لكن في
+
+282
+00:25:27,630 --> 00:25:31,270
+اتجاه .. بتحرك في اتجاه مين؟ القوة في اتجاه الـX،
+
+283
+00:25:31,270 --> 00:25:35,550
+لذا الـacceleration هنا قيمةها كده؟ Zero، لذا بقدر
+
+284
+00:25:35,550 --> 00:25:39,450
+اقول مجموعة القوة بتساوي Zero، ايش في عندي قوة؟ في
+
+285
+00:25:39,450 --> 00:25:44,780
+محورموجب ولا تحت ايه ايش سالب اذا بقدر اقوله لان
+
+286
+00:25:46,240 --> 00:25:51,060
+بالموجب سالب الام جي من هذه العلاقة بقدر اقول ال
+
+287
+00:25:51,060 --> 00:25:56,920
+normal force قيمتها بساوي الام جي واحد H واحد فعل
+
+288
+00:25:56,920 --> 00:26:01,900
+والتاني مالها رد فعل اذا ال normal force ال normal
+
+289
+00:26:01,900 --> 00:26:05,880
+force طبعا الرمز لها بالرمز and ال normal force
+
+290
+00:26:05,880 --> 00:26:10,400
+اللي هي قوة التلامس العمودية قوة التلامس بين
+
+291
+00:26:10,400 --> 00:26:14,820
+الصفحين العموديةإذا هذا هو ال normal force اللي
+
+292
+00:26:14,820 --> 00:26:22,360
+موجود عنده من السطح على الجسم من السطح على الجسم
+
+293
+00:26:22,360 --> 00:26:29,180
+بنسميها ال normal force نجي ناخد مثال تاني لاحظوا
+
+294
+00:26:29,180 --> 00:26:38,480
+الأمثلة تطبيقها بيكون سهل إذا
+
+295
+00:26:38,480 --> 00:26:39,520
+كانت في اتجاه واحد
+
+296
+00:26:43,070 --> 00:26:49,250
+بنقول في عنده كتلتين two masses واحد M واحد
+
+297
+00:26:49,250 --> 00:26:56,890
+والتاني M اتنين M علاقات البكرة طبعا
+
+298
+00:26:56,890 --> 00:27:01,410
+light string يعني بنا نهمل الخيط و نهمل ال
+
+299
+00:27:01,410 --> 00:27:06,910
+friction اللي في البكرة لكن بعد ذلك هنجي ناخد في
+
+300
+00:27:06,910 --> 00:27:09,830
+الحسبة اللي هو البكرة و ال friction اللي لها و
+
+301
+00:27:09,830 --> 00:27:14,510
+ندخله خلال الحسبةام واحد اكبر من ام اتنين هاي ام
+
+302
+00:27:14,510 --> 00:27:19,490
+واحد و ام اتنين ايش متوقعين يصير عنده متوقعين ام
+
+303
+00:27:19,490 --> 00:27:25,790
+واحد تنزل لتحت و ام اتنين تطلع لفوق هذا ام اتنين
+
+304
+00:27:25,790 --> 00:27:30,310
+السرعة اللي بتتحرك فيها ام واحد و اللي بتتحرك فيها
+
+305
+00:27:30,310 --> 00:27:35,410
+ام اتنين يعني لو قولنا ام واحد نزلت بسرعة خمسة متر
+
+306
+00:27:35,410 --> 00:27:41,470
+بيرسكانأم اتنين اشمالها هتطلع بنفس السرعة، ليش؟
+
+307
+00:27:41,470 --> 00:27:45,430
+لأن هذا هيمشي متر، هذا هيمشي متر، هذا نفس الزمن،
+
+308
+00:27:45,430 --> 00:27:50,310
+وهذا نفس الزمن، إذا التغير في الإزاحة الموجود هنا
+
+309
+00:27:50,310 --> 00:27:53,690
+نفسه بالنسبة للزمن، هيساوي نفس التغير في الإزاحة
+
+310
+00:27:54,320 --> 00:27:58,680
+بالنسبة للزمن للجسم التاني الجسم الأول تغير في
+
+311
+00:27:58,680 --> 00:28:03,560
+إزاحته بالنسبة للزمن بيساوي التغير في الإزاحة
+
+312
+00:28:03,560 --> 00:28:07,280
+بالنسبة للزمن للجسم التاني طيب ال acceleration
+
+313
+00:28:07,280 --> 00:28:10,760
+اللي هنا و ال acceleration اللي هنا طبعا نفس ال
+
+314
+00:28:10,760 --> 00:28:13,700
+issue لأن ال acceleration اللي هنا حلقه بالفلسفة
+
+315
+00:28:13,700 --> 00:28:18,480
+بالسرعة ففي هذه الحالة ال acceleration اللي هنا و
+
+316
+00:28:18,480 --> 00:28:24,480
+ال acceleration اللي هنا معاهم متساويليش انا ذكرت
+
+317
+00:28:24,480 --> 00:28:28,140
+ال acceleration لأن ال acceleration لها علاقة
+
+318
+00:28:28,140 --> 00:28:33,160
+تماما بال force بدي ارسم ال free body diagram ليش
+
+319
+00:28:33,160 --> 00:28:36,220
+انا حطيت ال acceleration كمان مرة بقول عشان احدى
+
+320
+00:28:36,220 --> 00:28:39,800
+اتجاه الحركة و اخد اتجاه الحركة و الاتجاه الموجب و
+
+321
+00:28:39,800 --> 00:28:43,960
+عكس الحركة الاتجاه السلب هاي المحور اللي بدي اخده
+
+322
+00:28:43,960 --> 00:28:47,160
+و المحور التاني ماله متعامد عليه لكن المحور التاني
+
+323
+00:28:47,160 --> 00:28:50,720
+مابلزمنيش الان ليش بلزمنيش لأن مافيش قوة بتأثر
+
+324
+00:28:50,720 --> 00:28:52,700
+عليه الان
+
+325
+00:28:54,340 --> 00:28:59,620
+نجل الجسم الأول او واحد في عندى من المنتصف هنا في
+
+326
+00:28:59,620 --> 00:29:05,100
+وزنه او واحد في الجسم اللى فوق عندى مربوط بخيط كإن
+
+327
+00:29:05,100 --> 00:29:10,160
+واحد ماسك و ساحبه إلى أعلى اللى هو الشد T لذا في
+
+328
+00:29:10,160 --> 00:29:14,100
+عندى قوة لأسفل اللى ال weight وفي عندى حاجة ال
+
+329
+00:29:14,100 --> 00:29:19,670
+tension اللى هي الشد tension إلى أعلىنجي ل أم
+
+330
+00:29:19,670 --> 00:29:24,070
+اتنين نفس الطريقة أم اتنين في ال G الى أسفل ال
+
+331
+00:29:24,070 --> 00:29:28,710
+weight و عند ال tension لوين؟ الى أعلى لذا هنا كان
+
+332
+00:29:28,710 --> 00:29:35,210
+في شد T و هنا كمان في T طيب هذا ال T لو أنا سألت
+
+333
+00:29:35,210 --> 00:29:42,390
+سؤال مش كل فعل له رد فعل وين؟ T مساوية لها تماما و
+
+334
+00:29:42,390 --> 00:29:48,590
+معاكسة لها في الاتجاه بتأثر على إيش؟ على البكرةأو
+
+335
+00:29:48,590 --> 00:29:55,310
+على المنطقة هذه في شد لتحت مساوين له طيب هنا لأ تي
+
+336
+00:29:55,310 --> 00:30:01,310
+في كمان تي هنا وهذا هندرسه في شفتر تمانية بالتفصيل
+
+337
+00:30:01,310 --> 00:30:05,750
+و هيكون مختلفات و فهذا تي واحد و تي اتنين واحد فعل
+
+338
+00:30:05,750 --> 00:30:10,890
+والتاني ماله رد فعل اي نقطة على الحبل هنا في لها
+
+339
+00:30:10,890 --> 00:30:16,170
+نقطة في تنشي لأسفل و في تنشي لفوق تمشي داخللو كان
+
+340
+00:30:16,170 --> 00:30:20,070
+ال tension يعني تقريبا الحبل هيوم ما زال الحبل
+
+341
+00:30:20,070 --> 00:30:23,590
+مشدود في شد بهذا الاتجاه وشد بهذا الاتجاه التانية
+
+342
+00:30:23,590 --> 00:30:27,230
+متساويات ومالها متعاكسين
+
+343
+00:30:28,200 --> 00:30:34,460
+نرجع للمسألة T أعلى للجسم الأولاني و T أعلى للجسم
+
+344
+00:30:34,460 --> 00:30:37,860
+الثاني الحركة موجودة هذه اتجاه الحركة اتجاهها
+
+345
+00:30:37,860 --> 00:30:43,420
+الأسفل وهذه اتجاه الحركة هذه A وهذه A بعد ما أرسم
+
+346
+00:30:43,420 --> 00:30:46,800
+ال free body diagram لجميع القوة اللي بتأثر على
+
+347
+00:30:46,800 --> 00:30:50,220
+الجسم باجأ أطبق قوانين الحركة و لاحظوا الحركة
+
+348
+00:30:50,220 --> 00:30:54,680
+بتطبقها في اتجاه من في اتجاه ال Yهذه اتجاه ال y
+
+349
+00:30:54,680 --> 00:30:59,280
+عنده فيه وهذه اتجاه ال y نقول هنا الموجب ناخد
+
+350
+00:30:59,280 --> 00:31:05,480
+الجسم الأول موجب وهذا الجسم التاني الموجب يعني
+
+351
+00:31:05,480 --> 00:31:08,100
+الجسم الأول بدي اعمله معادلاته والجسم التاني بدي
+
+352
+00:31:08,100 --> 00:31:13,500
+اعمله معادلاته بدي اخد للجسم الأول اقول summation
+
+353
+00:31:13,500 --> 00:31:15,380
+لل force for m واحد
+
+354
+00:31:18,730 --> 00:31:23,650
+for M1 انا بتكلم sumational force بتساوي M واحد في
+
+355
+00:31:23,650 --> 00:31:28,730
+ال A هاي M واحد في ال A ايش القوة المؤثرة عليه M
+
+356
+00:31:28,730 --> 00:31:32,830
+واحد ناقص
+
+357
+00:31:32,830 --> 00:31:38,910
+T M واحد مع ال acceleration أخدتها بالموجة ناقص T
+
+358
+00:31:38,910 --> 00:31:44,010
+بتساوي M واحد في ال A وهذه معادلة للجسم الأول
+
+359
+00:31:44,010 --> 00:31:49,820
+وبيسميها رقم واحدللجسم التاني بنفس الكيفية هذا
+
+360
+00:31:49,820 --> 00:31:55,660
+الجسم التاني ايش في عنده summation لل force هذا
+
+361
+00:31:55,660 --> 00:32:02,620
+for m واحد هذا for m اتنين ال summation لل force
+
+362
+00:32:02,620 --> 00:32:06,560
+بتساوي m اتنين في ال a مجموعة القوة المؤثرة على
+
+363
+00:32:06,560 --> 00:32:14,720
+الجسم التاني ساوي كتلته بتسارع ومنها بساوي
+
+364
+00:32:17,770 --> 00:32:29,350
+كما قواند T الى اعلى ناقص M2G M2A
+
+365
+00:32:29,350 --> 00:32:37,430
+وهذا المعادل رقم اتنين بس في ملاحظة لو انا اخدت
+
+366
+00:32:37,430 --> 00:32:41,270
+هذا الاتجاه الموجب لو اخدنا الاتجاه التحت الموجب
+
+367
+00:32:41,270 --> 00:32:47,290
+بتغيريعني لو أخدنا الاتنين اتجاه واحد، ايش هيصير
+
+368
+00:32:47,290 --> 00:32:52,470
+عندكم؟ فقط لو كان اتجاه بيصير عند M اتنين، في الـG
+
+369
+00:32:52,470 --> 00:32:59,920
+ناقص T، والـacceleration وين اتجاهها؟الأعلى بقول
+
+370
+00:32:59,920 --> 00:33:03,960
+ناقص ام اتنين في اللي ايش الفرق بين هذه المعادلة و
+
+371
+00:33:03,960 --> 00:33:07,620
+هذه المعادلة إشارة مالها إشارة كأن ضربتها بإشارة
+
+372
+00:33:07,620 --> 00:33:12,320
+سالبة و مش هتأثر على الحل فلذلك دائما أسهل لكم في
+
+373
+00:33:12,320 --> 00:33:17,420
+الحل خد لاتجاه الحركة هو لاتجاه الموجب عكس الحركة
+
+374
+00:33:17,420 --> 00:33:24,420
+هو لاتجاه السلب بجمع واحد و اتنين واحد و اتنين
+
+375
+00:33:30,890 --> 00:33:37,630
+M1-M2G M1A
+
+376
+00:33:37,630 --> 00:33:45,090
+M2A M1
+
+377
+00:33:45,090 --> 00:33:52,650
+-M2G M1A M2Aفي الـ G بيساوي M1 زاد M2 في الـ A
+
+378
+00:33:52,650 --> 00:34:03,170
+ومنها مباشرة الـ A بتساوي M1 ناقص M2 على M1 زاد M2
+
+379
+00:34:03,170 --> 00:34:08,770
+في الـ G إذا هيك أنا حسبت الـ acceleration لو أنا
+
+380
+00:34:08,770 --> 00:34:12,190
+بدي أحسب الشد ال tension اللي هنا اللي هو نفسه ال
+
+381
+00:34:12,190 --> 00:34:17,310
+tension اللي هنالو بدأ أحسب الشد كيف بدأ أحسب الشد
+
+382
+00:34:17,310 --> 00:34:23,010
+بدأ أقول الشد من أي معادلة بعد ما طلع قيمة ال a
+
+383
+00:34:23,010 --> 00:34:27,130
+بعوض عن ال a في المعادلة الأولى أو عن ال a في
+
+384
+00:34:27,130 --> 00:34:30,850
+المعادلة التانية يعني بعوض عن قيمة ال a اللي هنا
+
+385
+00:34:30,850 --> 00:34:35,210
+وبنجل ال mg على الطرف التاني أو بعوض عن قيمة ال a
+
+386
+00:34:35,210 --> 00:34:39,470
+اللي أنا طلعتها اللي هي عبارة عن M1 نقص M2 على M1
+
+387
+00:34:39,470 --> 00:34:40,270
+زاد M2
+
+388
+00:34:49,310 --> 00:34:54,290
+ماشي الحال يعطيكوا العافية المحاضرة الجاي بنكمل
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/_lKcO80d3Dg_raw.json b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/_lKcO80d3Dg_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..b3a055db178ebc29a403461eacd06795e4442cec
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/_lKcO80d3Dg_raw.json
@@ -0,0 +1 @@
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997.88, "end": 1027.54, "text": "إذا علاقة بـ Turbo إذا S طول القوس بيساوي R في ثيتا V بيساوي R في ومجة طب Alpha هتطلع متوقعين ايش؟ R أو آسف A إيش متوقعين تطلع R في Alpha طيب لأ tangential acceleration is defined إيش بيساوي ال tangential acceleration مرّت علينا هي مشتقة لل speed مشتقة ال speed بالنسبة لمين للزمن؟", "tokens": [28814, 15730, 11203, 995, 28671, 4724, 39184, 35848, 11933, 15730, 318, 23032, 12610, 25062, 41779, 4724, 1829, 3794, 995, 45865, 497, 8978, 38637, 36081, 995, 691, 4724, 1829, 3794, 995, 45865, 497, 8978, 4032, 2304, 7435, 3660, 23032, 3555, 20588, 8032, 2655, 9566, 1211, 3615, 44650, 30543, 3615, 9957, 1975, 1829, 8592, 22807, 497, 34051, 19753, 3794, 5172, 316, 11933, 1829, 8592, 44650, 30543, 3615, 9957, 6055, 9566, 1211, 3615, 497, 8978, 20588, 23032, 1829, 3555, 5296, 10721, 10266, 2549, 17162, 307, 7642, 11933, 1829, 8592, 4724, 1829, 3794, 995, 45865, 2423, 10266, 2549, 17162, 3714, 2288, 11703, 2655, 25894, 8315, 39896, 37893, 2655, 28671, 24976, 3073, 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high end الجسم ال road نزل وصل لهنا مثلا النقطة اللي هنا اتحركت تسعين باي على اتنين النقطة اللي هنا اتحركت باي على اتنين النقطة اللي هنا اتحركت باي على اتنين", "tokens": [303, 5842, 507, 11778, 3224, 912, 5296, 10721, 1829, 8717, 47432, 3660, 15844, 23758, 25724, 38251, 44381, 1975, 1829, 8592, 13672, 1829, 4724, 1829, 46456, 46538, 6055, 46456, 46538, 21136, 2288, 27884, 9122, 33911, 6055, 46456, 46538, 21136, 2288, 27884, 1090, 917, 25724, 38251, 2423, 3060, 8717, 11622, 1211, 4032, 36520, 46740, 8315, 50113, 15040, 28239, 47432, 3660, 13672, 1829, 34105, 1975, 2655, 5016, 31747, 2655, 6055, 3794, 3615, 9957, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 28239, 47432, 3660, 13672, 1829, 34105, 1975, 2655, 5016, 31747, 2655, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 28239, 47432, 3660, 13672, 1829, 34105, 1975, 2655, 5016, 31747, 2655, 4724, 47302, 15844, 1975, 2655, 1863, 9957], "avg_logprob": -0.15542763550030558, "compression_ratio": 2.3043478260869565, "no_speech_prob": 0.0, 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"word": " اتنين", "probability": 0.9322509765625}, {"start": 1379.58, "end": 1379.98, "word": " بايم", "probability": 0.9474283854166666}, {"start": 1379.98, "end": 1380.56, "word": " بطلع", "probability": 0.83184814453125}, {"start": 1380.56, "end": 1380.86, "word": " يداش", "probability": 0.6427408854166666}, {"start": 1380.86, "end": 1381.34, "word": " عنده", "probability": 0.678955078125}, {"start": 1381.34, "end": 1382.0, "word": " خمسة", "probability": 0.89697265625}, {"start": 1382.0, "end": 1382.48, "word": " وعشرين", "probability": 0.8057861328125}, {"start": 1382.48, "end": 1383.32, "word": " revolution", "probability": 0.84375}, {"start": 1383.32, "end": 1384.46, "word": " اخر", "probability": 0.769287109375}, {"start": 1384.46, "end": 1385.0, "word": " حاجة", "probability": 0.98291015625}, {"start": 1385.0, "end": 1385.8, "word": " بده", "probability": 0.7587890625}, {"start": 1385.8, "end": 1386.02, "word": " ال", "probability": 0.93408203125}, {"start": 1386.02, "end": 1386.16, "word": " a", "probability": 0.416259765625}, {"start": 1386.16, "end": 1386.42, "word": " radial", "probability": 0.61669921875}, {"start": 1386.42, "end": 1386.6, "word": " و", "probability": 0.42919921875}, {"start": 1386.6, "end": 1386.68, "word": " ال", "probability": 0.58544921875}, {"start": 1386.68, "end": 1386.8, "word": " a", "probability": 0.93359375}, {"start": 1386.8, "end": 1387.38, "word": " tangential", "probability": 0.967041015625}, {"start": 1387.38, "end": 1387.9, "word": " ال", "probability": 0.87158203125}, {"start": 1387.9, "end": 1388.1, "word": " a", "probability": 0.95361328125}, {"start": 1388.1, "end": 1388.38, "word": " radial", "probability": 0.91015625}, {"start": 1388.38, "end": 1388.6, "word": " ما", "probability": 0.6650390625}, {"start": 1388.6, "end": 1388.76, "word": " احنا", "probability": 0.830810546875}, {"start": 1388.76, "end": 1389.06, "word": " قولنا", "probability": 0.8929036458333334}, {"start": 1389.06, "end": 1389.5, "word": " بيساوي", "probability": 0.641259765625}, {"start": 1389.5, "end": 1389.76, "word": " V", "probability": 0.607421875}, {"start": 1389.76, "end": 1390.16, "word": " تربيع", "probability": 0.918701171875}, {"start": 1390.16, "end": 1390.3, "word": " على", "probability": 0.83349609375}, {"start": 1390.3, "end": 1390.52, "word": " R", "probability": 0.91455078125}, {"start": 1390.52, "end": 1390.92, "word": " وسارة", "probability": 0.696533203125}, {"start": 1390.92, "end": 1391.04, "word": " او", "probability": 0.52972412109375}, {"start": 1391.04, "end": 1391.28, "word": " R", "probability": 0.78125}, {"start": 1391.28, "end": 1391.4, "word": " في", "probability": 0.64013671875}, {"start": 1391.4, "end": 1391.72, "word": " اوميجان", "probability": 0.690234375}, {"start": 1391.72, "end": 1392.92, "word": " والتربيع", "probability": 0.830712890625}, {"start": 1392.92, "end": 1393.72, "word": " بطلع", "probability": 0.9296875}, {"start": 1393.72, "end": 1394.32, "word": " قيمتها", "probability": 0.994384765625}, {"start": 1394.32, "end": 1394.68, "word": " و", "probability": 0.64599609375}, {"start": 1394.68, "end": 1394.88, "word": " ال", "probability": 0.8681640625}, {"start": 1394.88, "end": 1395.16, "word": " a", "probability": 0.92041015625}, {"start": 1395.16, "end": 1395.72, "word": " tangential", "probability": 0.977783203125}, {"start": 1395.72, "end": 1396.26, "word": " بيساوي", "probability": 0.9513671875}, {"start": 1396.26, "end": 1396.8, "word": " R", "probability": 0.94140625}, {"start": 1396.8, "end": 1396.98, "word": " في", "probability": 0.9296875}, {"start": 1396.98, "end": 1397.3, "word": " Alpha", "probability": 0.385009765625}, {"start": 1397.3, "end": 1397.56, "word": " و", "probability": 0.68603515625}, {"start": 1397.56, "end": 1397.66, "word": " ال", "probability": 0.54296875}, {"start": 1397.66, "end": 1397.86, "word": " Alpha", "probability": 0.8564453125}, {"start": 1397.86, "end": 1398.6, "word": " حسبتها", "probability": 0.9617919921875}, {"start": 1398.6, "end": 1399.56, "word": " هاي", "probability": 0.622314453125}, {"start": 1399.56, "end": 1400.04, "word": " قيمتها", "probability": 0.9974365234375}, {"start": 1400.04, "end": 1400.2, "word": " و", "probability": 0.826171875}, {"start": 1400.2, "end": 1400.3, "word": " ال", "probability": 0.8388671875}, {"start": 1400.3, "end": 1400.54, "word": " Alpha", "probability": 0.876953125}, {"start": 1400.54, "end": 1401.06, "word": " ليش", "probability": 0.60491943359375}, {"start": 1401.06, "end": 1401.26, "word": " طلعت", "probability": 0.857421875}, {"start": 1401.26, "end": 1401.44, "word": " معايا", "probability": 0.8610026041666666}, {"start": 1401.44, "end": 1401.86, "word": " بالسلب", "probability": 0.6930338541666666}, {"start": 1401.86, "end": 1402.0, "word": " ال", "probability": 0.5439453125}, {"start": 1402.0, "end": 1402.18, "word": " Alpha", "probability": 0.86572265625}, {"start": 1402.18, "end": 1402.34, "word": " لما", "probability": 0.89208984375}, {"start": 1402.34, "end": 1402.54, "word": " جيت", "probability": 0.974853515625}, {"start": 1402.54, "end": 1403.04, "word": " حسبتها", "probability": 0.9674072265625}], "temperature": 1.0}, {"id": 56, "seek": 141365, "start": 1403.69, "end": 1413.65, "text": "لأنها بدها اهتكاف، اذا انت تباطو ولا تزايد؟ تباطو ماشي يعطيكوا العافية، المحاضرة جاي ان شاء الله، بنكمل", "tokens": [1211, 33456, 11296, 47525, 11296, 1975, 3224, 2655, 4117, 31845, 12399, 1975, 15730, 16472, 2655, 6055, 3555, 41193, 2407, 49429, 6055, 11622, 995, 25708, 22807, 6055, 3555, 41193, 2407, 3714, 33599, 1829, 37495, 9566, 1829, 4117, 14407, 18863, 31845, 10632, 12399, 9673, 5016, 46958, 25720, 10874, 47302, 16472, 13412, 16606, 21984, 12399, 44945, 24793, 1211], "avg_logprob": -0.3231026924082211, "compression_ratio": 1.5, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1403.69, "end": 1404.15, "word": "لأنها", "probability": 0.689453125}, {"start": 1404.15, "end": 1404.43, "word": " بدها", "probability": 0.57373046875}, {"start": 1404.43, "end": 1405.13, "word": " اهتكاف،", "probability": 0.6852213541666666}, {"start": 1405.13, "end": 1405.33, "word": " اذا", "probability": 0.619873046875}, {"start": 1405.33, "end": 1405.77, "word": " انت", "probability": 0.5277099609375}, {"start": 1405.77, "end": 1406.73, "word": " تباطو", "probability": 0.71533203125}, {"start": 1406.73, "end": 1406.93, "word": " ولا", "probability": 0.8515625}, {"start": 1406.93, "end": 1407.75, "word": " تزايد؟", "probability": 0.8900390625}, {"start": 1407.75, "end": 1408.43, "word": " تباطو", "probability": 0.9749755859375}, {"start": 1408.43, "end": 1409.45, "word": " ماشي", "probability": 0.727294921875}, {"start": 1409.45, "end": 1410.07, "word": " يعطيكوا", "probability": 0.864453125}, {"start": 1410.07, "end": 1411.29, "word": " العافية،", "probability": 0.7784423828125}, {"start": 1411.29, "end": 1411.71, "word": " المحاضرة", "probability": 0.962890625}, {"start": 1411.71, "end": 1411.99, "word": " جاي", "probability": 0.5262451171875}, {"start": 1411.99, "end": 1412.09, "word": " ان", "probability": 0.755859375}, {"start": 1412.09, "end": 1412.33, "word": " شاء", "probability": 0.98779296875}, {"start": 1412.33, "end": 1413.09, "word": " الله،", "probability": 0.770751953125}, {"start": 1413.09, "end": 1413.65, "word": " بنكمل", "probability": 0.94873046875}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1414.09525, "duration_after_vad": 1364.8862499999982}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/_lKcO80d3Dg_raw.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/_lKcO80d3Dg_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d334644ae8818ce029bf3645a26230f681bc93da
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/_lKcO80d3Dg_raw.srt
@@ -0,0 +1,1192 @@
+1
+00:00:05,130 --> 00:00:07,970
+بسم الله الرحمن الرحيم اليوم ان شاء الله عندنا
+
+2
+00:00:07,970 --> 00:00:12,110
+chapter عشرة chapter عشرة بتكلم on rotational
+
+3
+00:00:12,110 --> 00:00:18,870
+motion طبعا جمار علينا في chapter خمسة حركة دائرية
+
+4
+00:00:18,870 --> 00:00:24,890
+اليوم بتتكلم في جزء منها هيكون حركةدائرية لو أنا
+
+5
+00:00:24,890 --> 00:00:29,730
+فيها عندى جسم بيدور في مسار دائرى او حتى لو مروحة
+
+6
+00:00:29,730 --> 00:00:32,630
+مثلا بتتحرك في مسار دائرى مروحة تتحرك في مسار
+
+7
+00:00:32,630 --> 00:00:39,590
+دائرى وانا جيت اطلع على نقطة من هذه النقاط من هذه
+
+8
+00:00:39,590 --> 00:00:45,340
+النقطة هتتحرك مسافةهيلف لف كاملة ويرجع لنفس النقطة
+
+9
+00:00:45,340 --> 00:00:49,800
+اللي بدأ منها هذا بسميها بيكون لف جداش عنده زاوية
+
+10
+00:00:49,800 --> 00:00:53,820
+مقدارها جداش اتنين بقى اليوم بدي اتكلم عن angular
+
+11
+00:00:53,820 --> 00:00:57,800
+velocity angular velocity وفي linear velocity
+
+12
+00:00:57,800 --> 00:01:01,980
+linear velocity كان الجسم يتحرك في خط مستقيم ايا
+
+13
+00:01:01,980 --> 00:01:06,680
+كان هذا الخط لكن اليوم هيتحرك في مسار ماله دائر
+
+14
+00:01:06,680 --> 00:01:12,940
+هناك كان يقطع مسافة او ازاحةتجاه ال X إزاحة خطية
+
+15
+00:01:12,940 --> 00:01:18,780
+لكن هنا بيقطع زاوية تحرك في زوايا زاوية مقطارها
+
+16
+00:01:18,780 --> 00:01:22,880
+تلاتين ستين تسعين و هكذا إيش اللي كان يزيد هنا
+
+17
+00:01:22,880 --> 00:01:27,920
+الإزاحة تزيد لكن هنا إيش اللي بيزيد عنده اللي هو
+
+18
+00:01:27,920 --> 00:01:33,100
+ال angle الزاوية طبعا الزاوية هتبدأ تزيد بهذا
+
+19
+00:01:33,100 --> 00:01:37,180
+الشكل لما تصل لمين لتسعين و بعدين هيلف لف كام و
+
+20
+00:01:37,180 --> 00:01:42,020
+يصل لاتنين باين لو اعتبرت فيه نقطةنقطة فيه قرص
+
+21
+00:01:42,020 --> 00:01:46,460
+بدور مروحة بدور وفيه ريشة من هذه الرياش مش المروحة
+
+22
+00:01:46,460 --> 00:01:52,300
+ده ريحة بدور وانا عالمها و بتلف في مسار الدائرة
+
+23
+00:01:52,300 --> 00:01:56,920
+طبعا هصير يقطع الزاوية هيقطع المصمار او ريشة هادة
+
+24
+00:01:56,920 --> 00:02:05,610
+او حافة هتقطع ايش؟ أس طول قوسأذا طول القوس بقدر
+
+25
+00:02:05,610 --> 00:02:09,490
+احسبه من الزاوية في علاقة بتربط طول القوس بالزاوية
+
+26
+00:02:09,490 --> 00:02:16,070
+طول القوس ال arc length ايش بالساوية R في ثيتا مار
+
+27
+00:02:16,070 --> 00:02:21,130
+عليكم طول القوس ايه لما تكون عندي لف كامل طول
+
+28
+00:02:21,130 --> 00:02:27,910
+القوس هو المحيط R في الزاوية R الزاوية جديش لف
+
+29
+00:02:27,910 --> 00:02:31,430
+كامل بلا من هنا او لف اتنين باقي اللي هو اتنين
+
+30
+00:02:31,430 --> 00:02:37,160
+باقي في ال Rطول المحيط الكلة اذا طول المحيط ايش
+
+31
+00:02:37,160 --> 00:02:40,320
+بده يساوي او طول القاسي اللي موجود عندك بيساوي R
+
+32
+00:02:40,320 --> 00:02:48,560
+في ثيتا طبعا ثيتا بالراديان وانا بعرف انه ثيتا كل
+
+33
+00:02:48,560 --> 00:02:54,620
+مية و تمانين درجة بتساوي باي لو بدي اقول باي
+
+34
+00:02:54,620 --> 00:02:59,900
+بتساوي تلاتة اربعتاش مية لذا بقدر اقول الواحد راد
+
+35
+00:02:59,900 --> 00:03:06,460
+ايش بده يساويبالدرجة او بمعنى اخر كل تلاتمية و
+
+36
+00:03:06,460 --> 00:03:11,140
+ستين لفة كاملة سوى اتنين باى الواحد ايش بده يساوي
+
+37
+00:03:11,140 --> 00:03:16,100
+ضرب بهذا الشكل واحد في تلاتمية و ستين على اتنين
+
+38
+00:03:16,100 --> 00:03:21,140
+باى بيطلع قيمة الواحد رد سبعة و خمسين point تلاتة
+
+39
+00:03:21,140 --> 00:03:29,480
+الواحد رد علاقة بين ال radian والدرجة طيببتتعرف
+
+40
+00:03:29,480 --> 00:03:34,520
+على average angular velocity طبعا تمر علينا linear
+
+41
+00:03:34,520 --> 00:03:36,980
+velocity و average linear velocity كانت ايش
+
+42
+00:03:36,980 --> 00:03:39,380
+بالساوية ال average linear velocity V بالساوية
+
+43
+00:03:39,380 --> 00:03:43,840
+كانت X final ناقص X initial على T final ناقص T
+
+44
+00:03:43,840 --> 00:03:49,560
+initial تغير في ال X لكن هنا تغير في من؟ في
+
+45
+00:03:49,560 --> 00:03:55,000
+الزاوية الجسم كان هناالجسم كان هنا وصل لهذه
+
+46
+00:03:55,000 --> 00:04:01,760
+المنطقة قطع الزاوية من theta initial ل theta final
+
+47
+00:04:01,760 --> 00:04:08,380
+delta theta في زمن قدره delta T اذا بقدر اقول ال
+
+48
+00:04:08,380 --> 00:04:12,760
+Omega ك average بالساوية theta final ناقص theta
+
+49
+00:04:12,760 --> 00:04:17,630
+initial هي تلتة T على T final ناقص T initialالذي
+
+50
+00:04:17,630 --> 00:04:20,850
+هو دلتا T طب ال instant هو الذكرين ال instant هو
+
+51
+00:04:20,850 --> 00:04:27,570
+نفسه الوست ايش بساوي كده الزمن ماله الزمن يقول
+
+52
+00:04:27,570 --> 00:04:32,570
+لمين لل Zero بقلل الفترة الزمنية بقدر احسب السرعة
+
+53
+00:04:32,570 --> 00:04:36,310
+الزاوية عند لحظة معينة كل ما قلت الفترة الزمنية
+
+54
+00:04:36,310 --> 00:04:40,990
+وقالت لل Zero لعبارة عن ال derivative دي Omega على
+
+55
+00:04:40,990 --> 00:04:48,580
+دي Theta وهذا ال Omegaطيب ال axis of rotation كيف
+
+56
+00:04:48,580 --> 00:04:53,200
+بدي احدده طبعا انا بدي اقول لو في اندي جسم بيدور
+
+57
+00:04:53,200 --> 00:04:57,980
+هالي هذا بيدور في مسار دائري الدوران هذا لو كان
+
+58
+00:04:57,980 --> 00:05:02,080
+قرص بيكونش باين لكن لما اطلع عليه باطلع على محور
+
+59
+00:05:02,080 --> 00:05:07,660
+الدوران بيكون عمودي لذن كأنه محور الدوران هو اللي
+
+60
+00:05:07,660 --> 00:05:12,040
+بالذبنة لذن محور الدوران كيف بحدده قاعدة اليد
+
+61
+00:05:13,110 --> 00:05:17,630
+اليمنا الأربع أصابع في اتجاه الدوران والإبهام
+
+62
+00:05:17,630 --> 00:05:24,030
+بيكون ال direction اللي هو لل axis ماشي
+
+63
+00:05:24,030 --> 00:05:29,610
+الحالة طبعا لو جيت للباب هايم كمثال و بدي ألفه لما
+
+64
+00:05:29,610 --> 00:05:36,000
+ألفه هيصير بدوروالمحور الدوران اللي هي الرزات هنا
+
+65
+00:05:36,000 --> 00:05:40,900
+اللي بيسموه الحلق ماشي اللي هو الخشب اللي هنا
+
+66
+00:05:40,900 --> 00:05:52,380
+بيدور حولها محور الدوران الان
+
+67
+00:05:52,380 --> 00:05:55,540
+نفس الطريقة في عندي حاجة تانية لازم اتعرف عليها ال
+
+68
+00:05:55,540 --> 00:05:56,880
+angular acceleration
+
+69
+00:05:59,690 --> 00:06:03,070
+في عندي average وفي عندي instantaneous ال average
+
+70
+00:06:03,070 --> 00:06:10,930
+كانت في اللينيا كانت x هي عبارة ال average v final
+
+71
+00:06:10,930 --> 00:06:16,010
+ناقص v initial على t final ناقص t initial اليوم ال
+
+72
+00:06:16,010 --> 00:06:20,450
+average angular acceleration هي omega final ناقص
+
+73
+00:06:20,450 --> 00:06:24,630
+omega initial على t final ناقص t initial يعني ال
+
+74
+00:06:24,630 --> 00:06:27,870
+acceleration كانت تتحكم في ال velocityالـ
+
+75
+00:06:27,870 --> 00:06:31,430
+acceleration الآن ال angular acceleration بتتحكم
+
+76
+00:06:31,430 --> 00:06:35,810
+في السرعة الزاوية مثلا لو كانت السرعة الزاوية
+
+77
+00:06:35,810 --> 00:06:42,310
+التسارع الزاوية اسف التسارع الزاوية واحد اش معناه
+
+78
+00:06:42,310 --> 00:06:48,430
+الواحد هذا ان السرعة الزاوية تزيد بمعدل واحد في
+
+79
+00:06:48,430 --> 00:06:52,930
+الثانية يعني كانت zero بدأت تصير بعد ثانية سرعتها
+
+80
+00:06:52,930 --> 00:06:57,990
+الزاوية واحدراد ع السكن بعد ذلك اتنين راد ع السكن
+
+81
+00:06:57,990 --> 00:07:02,270
+و هكذا طب ال instantaneous angular acceleration
+
+82
+00:07:02,270 --> 00:07:06,450
+بدور عليها لما تكون مرة لفترة زمنية تقول من لزيرو
+
+83
+00:07:06,450 --> 00:07:12,290
+بتكون هي المشتقة الأولى للأمجل الangular velocity
+
+84
+00:07:12,290 --> 00:07:17,170
+ووحدة قياسها راد over second square و أحيانا
+
+85
+00:07:17,170 --> 00:07:21,830
+للتبسيط second square بتكون الراد الذاوي مالهاش
+
+86
+00:07:21,830 --> 00:07:24,290
+أصلا وحدة كبيرة لو جيت تطلع هنا
+
+87
+00:07:27,150 --> 00:07:32,970
+الـ S بالمتر الـ R بالمتر متر متر سيتاها دماغها
+
+88
+00:07:32,970 --> 00:07:38,930
+كأنها رقم باي تلاتة ع الاربعتاش اتنين باي نص باي
+
+89
+00:07:38,930 --> 00:07:44,830
+يعني قيمتها كأنه ايش رقم الان
+
+90
+00:07:44,830 --> 00:07:51,530
+لما يتحرك جسمبنذكركوا لما يتحرك جسم ب acceleration
+
+91
+00:07:51,530 --> 00:07:55,370
+constant acceleration كان فيه تلت معادلات للحركة
+
+92
+00:07:55,370 --> 00:07:59,450
+اليوم نفس الطريقة لما يتحرك جسم ب angular
+
+93
+00:07:59,450 --> 00:08:02,970
+acceleration constant بس angular acceleration
+
+94
+00:08:02,970 --> 00:08:08,730
+هيطلع عنده تلت معادلات مشابهة تماما للمعادلات اللي
+
+95
+00:08:08,730 --> 00:08:13,030
+كانت موجودة عنده انذكركوا فيها او طبعا انتوا
+
+96
+00:08:13,030 --> 00:08:23,640
+ذاكرينهاأول معادلة V V0 زائد A في T X V0 في T زائد
+
+97
+00:08:23,640 --> 00:08:33,100
+نص A T Square V V Square V0 Square زائد اتنين A في
+
+98
+00:08:33,100 --> 00:08:37,760
+X او X هي احيان X ناقص X نقطة هذا X ناقص X نقطة
+
+99
+00:08:37,760 --> 00:08:44,160
+اذا من ال origin بقول X نقطة بالساوية Zeroنفس
+
+100
+00:08:44,160 --> 00:08:47,860
+الطريقة لو جيت انا اطلع المعادلة الأولى هلاجيها
+
+101
+00:08:47,860 --> 00:08:51,020
+omega بالسواء omega node زائد alpha في T كيف ده
+
+102
+00:08:51,020 --> 00:08:54,840
+اجيبها ال alpha بالسواء D omega على DT بس عملية
+
+103
+00:08:54,840 --> 00:08:58,880
+تكامل للطرفين تكامل الطرف الأيمن والطرف الأيسر من
+
+104
+00:08:58,880 --> 00:09:02,480
+omega طبعا لما اكمل ال omega بكملها من omega node
+
+105
+00:09:02,480 --> 00:09:07,720
+ل omega finalولكن بالنسبة للزمن اما تكمل من T
+
+106
+00:09:07,720 --> 00:09:11,920
+initial او من Zero ل T او لما تكون عند T initial
+
+107
+00:09:11,920 --> 00:09:15,360
+بيساوي Zero لاحظوا التكامل ان دي Omega بتعطينه
+
+108
+00:09:15,360 --> 00:09:19,580
+Omega من وين ل وين من Omega naught ل Omega final
+
+109
+00:09:19,580 --> 00:09:23,420
+ال Alpha constant من واخدها constant تطلع برا
+
+110
+00:09:23,420 --> 00:09:30,850
+التكامل بيصير عند Tتكامل ال DT من 0 لل T لفوق نقص
+
+111
+00:09:30,850 --> 00:09:35,130
+لتحت بتطلع المعادلة رقم 1 هذه المعادلة مباشرة
+
+112
+00:09:35,130 --> 00:09:40,030
+كأنها شبيهة بيمين بالمعادلة رقم 1 بنفس الكيفية
+
+113
+00:09:40,030 --> 00:09:43,850
+ممكن تطلع ان احنا نحسب معادلة رقم 2 ال Omega
+
+114
+00:09:43,850 --> 00:09:49,850
+هيقمتها Omega نوت زاد ألفة في T ماعلي اللي هرتب ال
+
+115
+00:09:49,850 --> 00:09:53,790
+derivative وجيبه وكامله بتطلع عنده
+
+116
+00:09:58,910 --> 00:10:04,450
+ثيتا ثيتا ثيتا ثيتا نوت ثيتا نوت ثيتا نوت ثيتا نوت
+
+117
+00:10:04,450 --> 00:10:10,570
+ثيتا نوت ثيتا نوت ثيتا نوت ثيتا نوت ثيتا نوت
+
+118
+00:10:20,100 --> 00:10:25,000
+نفس القانون بس بدل ما هو linear كل حاجة لينر صارت
+
+119
+00:10:25,000 --> 00:10:29,140
+كل حاجة مالها angular من واحد و اتنين بقدر احصل
+
+120
+00:10:29,140 --> 00:10:33,080
+على المعادلة التالتة اللي هي V ترجع يسوى V نوت
+
+121
+00:10:33,080 --> 00:10:37,400
+تربيع اتنين A في X اميجا تربيع يسوى اميجا نوت
+
+122
+00:10:37,400 --> 00:10:41,900
+تربيع زي اتنين Alphaفى theta ناقص theta naught
+
+123
+00:10:41,900 --> 00:10:46,420
+وإذا theta naught إيه ال origin لاحظ إن X كأنها أي
+
+124
+00:10:46,420 --> 00:10:52,760
+شيء بدلتها في theta ال V كأني بدلتها في Omega ال A
+
+125
+00:10:52,760 --> 00:10:57,620
+كأني بدلتها في Alpha إذا المعادلات الحركة التالتة
+
+126
+00:10:57,620 --> 00:11:06,200
+في نفسها معادلات الحركة الزاوية ناخد مثال المثال
+
+127
+00:11:06,200 --> 00:11:15,220
+هذا بيقول في عندجسم او wheel عجلة rotates بالضغط
+
+128
+00:11:15,220 --> 00:11:19,400
+with constant angular acceleration هذا مهم جدا
+
+129
+00:11:19,400 --> 00:11:23,560
+مازال constant بقدر استخدم اي معادلة من التلات
+
+130
+00:11:23,560 --> 00:11:27,780
+معادلات المعروفة اللي انا صار اتحققها الأول اوميغا
+
+131
+00:11:27,780 --> 00:11:33,640
+اوميغا نوات زائد الف في ت تبديل بدون حفظ الحفظ
+
+132
+00:11:33,640 --> 00:11:38,220
+المعادلات السابقة المعادلة التانية بدل X ثيتا
+
+133
+00:11:45,630 --> 00:11:49,730
+معادلة الأخيرة بدل V Omega squared Omega naught
+
+134
+00:11:49,730 --> 00:11:51,110
+squared Omega squared Omega naught squared Omega
+
+135
+00:11:51,110 --> 00:11:51,130
+naught squared Omega naught squared Omega naught
+
+136
+00:11:51,130 --> 00:11:51,690
+squared Omega naught squared Omega naught squared
+
+137
+00:11:51,690 --> 00:11:51,690
+Omega naught squared Omega naught squared Omega
+
+138
+00:11:51,690 --> 00:11:51,690
+naught squared Omega naught squared Omega naught
+
+139
+00:11:51,690 --> 00:11:51,690
+squared Omega naught squared Omega naught squared
+
+140
+00:11:51,690 --> 00:11:51,690
+Omega naught squared Omega naught squared Omega
+
+141
+00:11:51,690 --> 00:11:51,690
+naught squared Omega naught squared Omega naught
+
+142
+00:11:51,690 --> 00:11:51,690
+squared Omega naught squared Omega naught squared
+
+143
+00:11:51,690 --> 00:11:51,690
+Omega naught squared Omega naught squared Omega
+
+144
+00:11:51,690 --> 00:11:51,690
+naught squared Omega naught squared Omega naught
+
+145
+00:11:51,690 --> 00:11:51,690
+squared Omega naught squared Omega naught squared
+
+146
+00:11:51,690 --> 00:11:51,690
+Omega naught squared Omega naught squared Omega
+
+147
+00:11:51,690 --> 00:11:51,690
+naught squared Omega naught squared Omega naught
+
+148
+00:11:51,690 --> 00:11:51,690
+squared Omega naught squared Omega naught squared
+
+149
+00:11:51,690 --> 00:11:51,690
+Omega naught squared Omega naught squared Omega
+
+150
+00:11:51,690 --> 00:11:51,750
+naught squared Omega naught squared Omega naught
+
+151
+00:11:51,750 --> 00:11:51,850
+squared Omega naught squared Omega naught squared
+
+152
+00:11:51,850 --> 00:11:51,850
+Omega naught squared Omega naught squared Omega
+
+153
+00:11:51,850 --> 00:11:52,050
+naught squared Omega naught squared Omega naught
+
+154
+00:11:52,050 --> 00:11:52,570
+squared Omega naught squared Omega naught squared
+
+155
+00:11:52,570 --> 00:11:52,870
+Omega naught squared Omega naught squared Omega
+
+156
+00:11:52,870 --> 00:11:53,230
+naught squared Omega naught squared Omega naught
+
+157
+00:11:53,230 --> 00:11:53,230
+squared Omega naught squared Omega naught squared
+
+158
+00:11:53,230 --> 00:11:53,430
+Omega naught squared Omega naught squared Omega
+
+159
+00:11:53,430 --> 00:11:53,810
+naught squared Omega naught squared Omega naught
+
+160
+00:11:53,810 --> 00:11:56,210
+squared Omega naught squared Omega naught squared
+
+161
+00:11:56,210 --> 00:11:56,430
+Omega naught squared Omega naught squared Omega
+
+162
+00:11:56,430 --> 00:12:02,720
+naught squaredبيقول عندي جسم بيدور بإيش؟ بألفة هذه
+
+163
+00:12:02,720 --> 00:12:06,800
+ألفة بالساوية تلاتة و نص red per second squared
+
+164
+00:12:06,800 --> 00:12:11,080
+Angle الرسل الدويل ايه؟ كم قيمته؟ اتنين red per
+
+165
+00:12:11,080 --> 00:12:14,920
+second اذا اميجا نوت ليش اميجا نوت؟ ال T بالساوة
+
+166
+00:12:14,920 --> 00:12:21,720
+زيرو اذا هو بيدور كان باميجا نوت قيمتها كم؟ اتنين
+
+167
+00:12:21,720 --> 00:12:27,280
+red per second ال T بالساوة زيرو ايش بدي؟بدي ال
+
+168
+00:12:27,280 --> 00:12:36,840
+angle أول حاجة اثراء خلال اتنين ثانيتين بدي ال
+
+169
+00:12:36,840 --> 00:12:41,340
+angle بعد ثانيتين ازاي ثانيتين و ازاي وين اللي
+
+170
+00:12:41,340 --> 00:12:43,700
+فيها ال angle ايه هذه المعادلة ايه هذه المعادلة
+
+171
+00:12:43,700 --> 00:12:47,680
+ناخد المعادلة ايش المعطيات اللي عندي ماتعطيني زمان
+
+172
+00:12:47,680 --> 00:12:53,040
+و omega naught و ماتعطيني acceleration زمان و
+
+173
+00:12:53,040 --> 00:12:57,260
+omega naught و angular accelerationهذه المعادلة
+
+174
+00:12:57,260 --> 00:13:01,940
+اللي بدأ اخدها Omega naught طبعا بدأ من السكون اذا
+
+175
+00:13:01,940 --> 00:13:07,800
+نفسي عندك كده؟ ثيتا بالساوية ثيتا نوت Zero Omega
+
+176
+00:13:07,800 --> 00:13:11,480
+naught في T Omega naught دين و T عندك اتنين زائد
+
+177
+00:13:11,480 --> 00:13:16,060
+نص Alpha تلاتة و نص في اربعة تطلع احد عشر رياض طب
+
+178
+00:13:16,060 --> 00:13:22,800
+كم لو سألك كم اللف هدولة اش بدأ اعمل ال 11 رياض
+
+179
+00:13:22,800 --> 00:13:28,980
+بيعطوني كمكم من باى او كم من اتنين باى بروحش بدعمل
+
+180
+00:13:28,980 --> 00:13:33,060
+بجسمها على اتنين باى بطلع عند ال end كم من
+
+181
+00:13:33,060 --> 00:13:38,260
+rotation اذا ال 11 ع اتنين باى بيعطينا عدد ال
+
+182
+00:13:38,260 --> 00:13:42,420
+rotation اللي بده يلفن خلال هذه الفترة لفتين لفتين
+
+183
+00:13:42,420 --> 00:13:46,320
+و نص لفتين و تمانين و عشرة بيقدر اوجدها تطلع لفتين
+
+184
+00:13:46,320 --> 00:13:50,780
+اللي اشهر مطلوب التاني ال angular velocity اللي هي
+
+185
+00:13:50,780 --> 00:13:54,580
+ال Omegaجدّيش قيمتها omega final استخدم المعادلة
+
+186
+00:13:54,580 --> 00:13:59,920
+الأولى او الأخيرة امجا نقطة اتنين تلاتة و نص زاد
+
+187
+00:13:59,920 --> 00:14:06,100
+اتنين بيطلع تسعة راد بير ساكن طيب
+
+188
+00:14:06,100 --> 00:14:13,460
+يضايقون ملاحظة الحين ال omega مش في سوء التغير في
+
+189
+00:14:13,460 --> 00:14:17,060
+الزاوية على التغير ال average على التغير في
+
+190
+00:14:17,060 --> 00:14:23,670
+الزاوية لو احتبرت و لف من zeroلف لف كامة تكون ثيتا
+
+191
+00:14:23,670 --> 00:14:30,990
+ناقص theta naught على T ناقص T naught ثيتا بدأ من
+
+192
+00:14:30,990 --> 00:14:36,710
+السكون من Zero ناقص Zero طبعا على T ناقص اللي هو
+
+193
+00:14:36,710 --> 00:14:43,210
+بدأ من لحظة الصفر ثيتا على T ثيتا جداش قمتها اتنين
+
+194
+00:14:43,210 --> 00:14:49,350
+باق على الزمن اللف بيسموها ال period اذا Omega
+
+195
+00:14:50,850 --> 00:14:58,350
+بتساوي اتنين by على T طب
+
+196
+00:14:58,350 --> 00:15:04,530
+لو لف خمس لفات بقول كمان بساوي عدد اللفات في اتنين
+
+197
+00:15:04,530 --> 00:15:11,950
+by على T total للخمس لفات او العشر لفات اذا بقدر
+
+198
+00:15:11,950 --> 00:15:16,810
+احسب ال Omega اذا كان مثلا زمن اللف كامل بقول
+
+199
+00:15:16,810 --> 00:15:21,990
+اتنين by على T ال average طبعاالانستنتج نفسي عند
+
+200
+00:15:21,990 --> 00:15:24,970
+لحظة معينة ال average سببه اتنين باي على T الزمن
+
+201
+00:15:24,970 --> 00:15:28,730
+وال T هو ال period اللي بيسمي زمن الدورة الكاملة
+
+202
+00:15:28,730 --> 00:15:32,850
+لو كان عندي مجموعة من اللفات جالي لف تلتمية لف في
+
+203
+00:15:32,850 --> 00:15:36,990
+الدقيقة بدي اقول تلتمية لف كل لف جدش قمتها زوقيتها
+
+204
+00:15:36,990 --> 00:15:40,530
+اتنين باي اذا تلتمية في اتنين باي على الدقيقة ستين
+
+205
+00:15:40,530 --> 00:15:45,070
+ثانية بجسمها على ستين ثانية و بقدر احسب من خلالها
+
+206
+00:15:45,070 --> 00:15:50,240
+اللي هو ال Omega اللي بيلف فيها هذه العجلةالان
+
+207
+00:15:50,240 --> 00:15:56,180
+نكمل و نقول ان عندي علاقة
+
+208
+00:15:56,180 --> 00:16:00,940
+between angular and linear
+
+209
+00:16:12,270 --> 00:16:16,130
+طبعا احنا عارفين اول حاجة ان ال S قولنا طول القوس
+
+210
+00:16:16,130 --> 00:16:19,970
+بيساوي R في ثيتا لو انا عملت ال derivative اللي
+
+211
+00:16:19,970 --> 00:16:27,530
+اشتقته DS على DC على DT بيساوي اشتق هذا ال R
+
+212
+00:16:27,530 --> 00:16:32,410
+constant بيطلع برا التكامل نصف قطر ثابت DC على ال
+
+213
+00:16:32,410 --> 00:16:36,110
+.. اللي بتعطيني EH Omega اذا اول علاقة V بيساوي R
+
+214
+00:16:36,110 --> 00:16:42,480
+في Omegaإذا علاقة بـ Turbo إذا S طول القوس بيساوي
+
+215
+00:16:42,480 --> 00:16:47,320
+R في ثيتا V بيساوي R في ومجة طب Alpha هتطلع
+
+216
+00:16:47,320 --> 00:16:52,640
+متوقعين ايش؟ R أو آسف A إيش متوقعين تطلع R في
+
+217
+00:16:52,640 --> 00:16:57,880
+Alpha طيب لأ tangential acceleration is defined
+
+218
+00:16:57,880 --> 00:17:02,480
+إيش بيساوي ال tangential acceleration مرّت علينا
+
+219
+00:17:02,480 --> 00:17:06,200
+هي مشتقة لل speed مشتقة ال speed بالنسبة لمين
+
+220
+00:17:06,200 --> 00:17:13,170
+للزمن؟السرعة ر في أميجا الـ R كونستان دي أميجا على
+
+221
+00:17:13,170 --> 00:17:16,610
+دي تي على دي تي بتطلع هى الألفة اذا بتطلع زي ما
+
+222
+00:17:16,610 --> 00:17:20,230
+انا اتوقعت tangential acceleration علاقتها مع
+
+223
+00:17:20,230 --> 00:17:23,850
+الالفة ر في الفة طيب ال ريه دي ال acceleration مش
+
+224
+00:17:23,850 --> 00:17:26,350
+لما تكون اتحرك في مسار دائر في عنده two
+
+225
+00:17:26,350 --> 00:17:31,140
+acceleration واحدة ماماسية واحدة ماماها مركزيةمش
+
+226
+00:17:31,140 --> 00:17:35,740
+هتسوي ليه؟ AR ايش بتساوي؟ مش V تربيع على A و V ايش
+
+227
+00:17:35,740 --> 00:17:41,080
+بتساوي؟ مش R في Omega، اذا بعوض هنا R تربيع، اذا A
+
+228
+00:17:41,080 --> 00:17:45,060
+رادر بتساوي V تربيع على A و بتساوي R تربيع في
+
+229
+00:17:45,060 --> 00:17:51,280
+Omega تربيع على R و منها R في Omega تربيعإذا صارت
+
+230
+00:17:51,280 --> 00:17:55,380
+عند الـ acceleration هي مُركّبة tangential زائد ال
+
+231
+00:17:55,380 --> 00:18:01,340
+radial ل a tangential r في alpha طبعا بتعرف أنه أي
+
+232
+00:18:01,340 --> 00:18:05,240
+vector ده يجيب ال magnitude له جدر المُركّبة
+
+233
+00:18:05,240 --> 00:18:08,380
+السينية زائد المُركّبة الصادرية a tangential
+
+234
+00:18:08,380 --> 00:18:11,300
+square زائد a radial square ل a tangential هيها
+
+235
+00:18:11,300 --> 00:18:15,690
+square بربحها و ل a radial هيهمبطلع ال R مشترك
+
+236
+00:18:15,690 --> 00:18:19,250
+باخد عين مشترك بالسيريال A بساوي R في جذر Alpha
+
+237
+00:18:19,250 --> 00:18:24,770
+squared زايد Omega أس أربعة، لذا هاي الإلاقة بين
+
+238
+00:18:24,770 --> 00:18:31,790
+اللي هو ال linear وبين ال acceleration ال linear
+
+239
+00:18:31,790 --> 00:18:36,050
+وبين أس في ال angular، الآن بدأ اكلم ملاحظة، لو
+
+240
+00:18:36,050 --> 00:18:42,120
+أنا عندي جسم، هذا جسم بيدور،بيلف مسار دائر، الآن
+
+241
+00:18:42,120 --> 00:18:45,480
+النقطة اللي عليه هي تحرك كله إشمال و غصل، تحرك
+
+242
+00:18:45,480 --> 00:18:49,620
+زاوية قداش؟ من هنا و نزل لهنا، تحرك زاوية تسعين
+
+243
+00:18:49,620 --> 00:18:55,480
+درجة، لو جيت حافة القلم، بدأت هنا، تحركت قداش؟
+
+244
+00:18:55,480 --> 00:19:02,490
+تسعين درجة، في ثانية، طب نص القلم، تحرك؟نفس
+
+245
+00:19:02,490 --> 00:19:07,330
+الزاوية في نفس الزمن اللي هنا تحرك زاوية تسعين
+
+246
+00:19:07,330 --> 00:19:13,610
+درجة في نفس الزمن اذا اي نقطة على هذا الرجل اشماله
+
+247
+00:19:13,610 --> 00:19:18,170
+بتحرك نفس الزاوية في نفس الزمن اذا omega له ايش
+
+248
+00:19:18,170 --> 00:19:25,370
+omega مقدار ال angular acceleration والangular
+
+249
+00:19:26,370 --> 00:19:31,330
+velocity ده same لأي نقطة على هذا الجسم لكن ايش
+
+250
+00:19:31,330 --> 00:19:42,250
+اللي بيختلف تختلف السرعة كيف تختلف السرعة high
+
+251
+00:19:42,250 --> 00:19:48,990
+end الجسم ال road نزل وصل لهنا مثلا النقطة اللي
+
+252
+00:19:48,990 --> 00:19:52,890
+هنا اتحركت تسعين باي على اتنين النقطة اللي هنا
+
+253
+00:19:52,890 --> 00:19:55,070
+اتحركت باي على اتنين النقطة اللي هنا اتحركت باي
+
+254
+00:19:55,070 --> 00:20:00,200
+على اتنينلكن هذا R له إيش؟ أكبر، هذا R أصغر هنا
+
+255
+00:20:00,200 --> 00:20:06,440
+Omega 1 بيسوي Omega 2 بيسوي Omega 3 لكن V1 لا
+
+256
+00:20:06,440 --> 00:20:14,660
+تساوي V2 لا تساوي V3 V1 بيسوي R1 في Omega V2 بيسوي
+
+257
+00:20:14,660 --> 00:20:21,120
+R2 في Omega V3 بيسوي R3 في Omegaالـ Omega نفس
+
+258
+00:20:21,120 --> 00:20:26,280
+الشيء لكن R1 وR2 وR3 معاهم مختلفين كذلك Alpha بنفس
+
+259
+00:20:26,280 --> 00:20:31,120
+الكيفية إذا بقدر أقول ال linear plus to linear
+
+260
+00:20:31,120 --> 00:20:36,980
+acceleration is different لكن ال Omega و ال Alpha
+
+261
+00:20:36,980 --> 00:20:40,540
+معاهم Omega 1 و Omega 2 و Omega 3 معاهم متساوية
+
+262
+00:20:40,540 --> 00:20:46,460
+ناخد مثال و ننهي المحاضرة هذهاللي هو بيقول في عندك
+
+263
+00:20:46,460 --> 00:20:51,960
+wheel of radius تلاتين centimeter rotates بتدور
+
+264
+00:20:51,960 --> 00:20:57,540
+على fixed axis على محور ثابت initial ال angular
+
+265
+00:20:57,540 --> 00:21:00,900
+growth مية و خمسين revolution يعني Omega يعني
+
+266
+00:21:00,900 --> 00:21:04,600
+Omega ايش بالساوية قبل شوية قلتها مية و خمسين
+
+267
+00:21:04,600 --> 00:21:07,980
+number of revolution في كل revolution اتنين باي
+
+268
+00:21:07,980 --> 00:21:16,920
+على ستينone minute sixty second و بطلق القيمة اذا
+
+269
+00:21:16,920 --> 00:21:20,400
+بتدور بهذه الطبقة في ال initial اذا omega initial
+
+270
+00:21:20,400 --> 00:21:27,280
+omega note الان اخدت عشرين ثانية حتى توقفت يعني
+
+271
+00:21:27,280 --> 00:21:33,240
+omega final بتسوى قداش zero الزمن قداش قيمته عشرين
+
+272
+00:21:33,240 --> 00:21:38,800
+second بدي احسب ال angular accelerationو بعدين how
+
+273
+00:21:38,800 --> 00:21:43,380
+many rotate كم لف يعني ثيتا اول حاجة حسبت ال omega
+
+274
+00:21:43,380 --> 00:21:48,060
+note قلت ال omega note ايش بتساوي 150 في 2pi على
+
+275
+00:21:48,060 --> 00:21:54,980
+60 طلعت قيمتها 15.6 بعد هيك بدي استخدم المعادل رقم
+
+276
+00:21:54,980 --> 00:21:58,640
+واحد omega بيساوي omega note زاد alpha في ال T و
+
+277
+00:21:58,640 --> 00:22:01,060
+منها بيطلع قيمة ال alpha omega note هي موجودة
+
+278
+00:22:01,060 --> 00:22:07,390
+omega final zeroومجا نوت 15.7 طاول زائد ألفة بديها
+
+279
+00:22:07,390 --> 00:22:13,150
+في T في عشرين second المطلوب
+
+280
+00:22:13,150 --> 00:22:13,750
+التاني
+
+281
+00:22:16,280 --> 00:22:22,400
+بدأ أحسب اللي هو كام ال rotation عنده حتى يتوقعه
+
+282
+00:22:22,400 --> 00:22:26,460
+بدأ يطلع الزاوية بدأ أخد المعادلة التانية بطلع
+
+283
+00:22:26,460 --> 00:22:29,860
+قيمة الزاوية طب طلعت الزاوية أربعة باي ايش معناتها
+
+284
+00:22:29,860 --> 00:22:35,020
+انه لفتين طلعت الزاوية عشرة باي بروح اجسم على مين
+
+285
+00:22:35,020 --> 00:22:39,680
+على اتنين باي بطلع قيمة ال revolution جديش عنده
+
+286
+00:22:39,680 --> 00:22:44,410
+revolutionسنة تا هاي قيمتها تا نوت بدأ من السكون
+
+287
+00:22:44,410 --> 00:22:50,030
+بدأ من تا نوت بيساوي زيرو بطلع اتجدش عندى امجا نوت
+
+288
+00:22:50,030 --> 00:22:55,460
+اعطانيها و تي و الالفة و تي حسبت الالفة حسبتهابطلع
+
+289
+00:22:55,460 --> 00:22:59,300
+عنده اللي هو ثيتا بتطلع خمسين بايم بروح مجسمها على
+
+290
+00:22:59,300 --> 00:23:03,320
+اتنين بايم بطلع يداش عنده خمسة وعشرين revolution
+
+291
+00:23:03,320 --> 00:23:08,100
+اخر حاجة بده ال a radial و ال a tangential ال a
+
+292
+00:23:08,100 --> 00:23:11,040
+radial ما احنا قولنا بيساوي V تربيع على R وسارة او
+
+293
+00:23:11,040 --> 00:23:15,160
+R في اوميجان والتربيع بطلع قيمتها و ال a
+
+294
+00:23:15,160 --> 00:23:19,560
+tangential بيساوي R في Alpha و ال Alpha حسبتها هاي
+
+295
+00:23:19,560 --> 00:23:22,180
+قيمتها و ال Alpha ليش طلعت معايا بالسلب ال Alpha
+
+296
+00:23:22,180 --> 00:23:26,930
+لما جيت حسبتهالأنها بدها اهتكاف، اذا انت تباطو ولا
+
+297
+00:23:26,930 --> 00:23:32,090
+تزايد؟ تباطو ماشي يعطيكوا العافية، المحاضرة جاي ان
+
+298
+00:23:32,090 --> 00:23:33,650
+شاء الله، بنكمل
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/aGUrkWh5O14.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/aGUrkWh5O14.srt
new file mode 100644
index 0000000000000000000000000000000000000000..bb856429def444ec55596f0b29e7400abd34ae9e
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/aGUrkWh5O14.srt
@@ -0,0 +1,778 @@
+1
+00:00:05,110 --> 00:00:10,210
+طبعا اليوم نكمل chapter رقم واحد، طبعا عارفين في
+
+2
+00:00:10,210 --> 00:00:14,950
+البداية أن chapter رقم واحد هو مقدمة، مقدمة عن
+
+3
+00:00:14,950 --> 00:00:19,650
+المادة التي احنا بدنا ناخدها، طبعا مهم جدا لأن هو
+
+4
+00:00:19,650 --> 00:00:24,170
+يتكلم عن أساسيات، اليوم هنتكلم عن أساس من هذه
+
+5
+00:00:24,170 --> 00:00:28,620
+الأساسيات، اللي هو الـ vectors والـ scalars الـ
+
+6
+00:00:28,620 --> 00:00:34,000
+vectors  نعني المتجهات، والـ scalars هي الكميات أو
+
+7
+00:00:34,000 --> 00:00:39,300
+القياس، الكميات القياسية، لما نتكلم فيزيائيا scalar
+
+8
+00:00:39,300 --> 00:00:44,420
+أو هو الـ scalar quantity أو physical quantity لما
+
+9
+00:00:44,420 --> 00:00:49,460
+تكون عندك كمية فيزيائية قياسية، أيه كيف بتعرفها؟
+
+10
+00:00:49,460 --> 00:00:54,820
+بتعرفها بحاجة اسمها الـ magnitude، المقدار فقط.
+
+11
+00:00:54,820 --> 00:01:00,960
+يعني أنا لو عندي distance مسافة، بقول قيمتها كم؟
+
+12
+00:01:00,960 --> 00:01:07,380
+خمسة، five لكن يحتاج أيضًا شيء يدل عليها، الـ unit لأنني
+
+13
+00:01:07,380 --> 00:01:15,260
+أتكلم عن الواقع الفيزيائي، الواقع الفيزيائي، الواقع
+
+14
+00:01:15,260 --> 00:01:19,960
+الفيزيائي.
+
+15
+00:01:20,090 --> 00:01:26,810
+مجموع خمسة، ومجموعة متر، إذا كمية فيزياء تحتاج
+
+16
+00:01:26,810 --> 00:01:32,110
+حاجة، مجموعة أساسا زائد المجموعة، أما الـ vector
+
+17
+00:01:32,110 --> 00:01:37,950
+المتجه، رياضيا قيمة واتجاه، scalar رياضيا مجموعة
+
+18
+00:01:37,950 --> 00:01:43,030
+مجموعة واتجاه، لكن physical quantity لازم أقول أنه
+
+19
+00:01:43,030 --> 00:01:46,450
+قيمة واتجاه.
+
+20
+00:01:47,020 --> 00:01:52,740
+قيمة واتجاه، يعني كمثال له ولازم أضيف لها إذا
+
+21
+00:01:52,740 --> 00:01:56,060
+اتكلمت عن physical quantity أضيف لها الـ units
+
+22
+00:01:56,060 --> 00:02:02,760
+المستخدمة، كمثال لما أقول displacement إزاحة، الإزاحة
+
+23
+00:02:02,760 --> 00:02:07,660
+هي الجملة، عملت لها إزاحة، إزاحة قيمتها خمسون سنتيمتر
+
+24
+00:02:07,660 --> 00:02:13,560
+إذا بقول خمسون سنتيمتر إزاحة، لكن وين اتجاهها؟ في اتجاه
+
+25
+00:02:13,560 --> 00:02:17,820
+الشرق أو اتجاه الغرب أو اليمين أو اليسار، إذا عند
+
+26
+00:02:17,820 --> 00:02:22,960
+الفتح، الفتح بالضبط، تحديده، إذا كان physical
+
+27
+00:02:22,960 --> 00:02:28,210
+quantity  يجب تحديد magnitude واتجاه، لكن الـ
+
+28
+00:02:28,210 --> 00:02:32,950
+physical quantity يجب تحديد magnitude قيمة و
+
+29
+00:02:32,950 --> 00:02:37,730
+direction and units المستخدمة في القياس، أمثلة
+
+30
+00:02:37,730 --> 00:02:41,450
+عليهم، example على الـ scalar، في عندي مجموعة من
+
+31
+00:02:41,450 --> 00:02:46,090
+examples، أو الـ hazard time الزمن، الـ volume الحجم،
+
+32
+00:02:46,090 --> 00:02:50,010
+الحجم، هذا يكون حجمه خمسة متر، خمسة متر، ما يتغير، اشتغل
+
+33
+00:02:50,010 --> 00:02:56,420
+على المكان أو اتجاهه، الـ mass الكتلة، الـ density الكثافة،
+
+34
+00:02:56,420 --> 00:03:00,720
+الـ energy، الـ distance المسافة، الـ temperature، لما
+
+35
+00:03:00,720 --> 00:03:05,180
+أشرح، أتكلم examples عندي على الـ vector أو physical
+
+36
+00:03:05,180 --> 00:03:12,080
+quantity، Displacement، إزاحة، Velocity، سرعة،
+
+37
+00:03:12,080 --> 00:03:17,540
+Acceleration، تسارع، وين اتجاهه؟ مثال عليه الـ
+
+38
+00:03:17,540 --> 00:03:22,080
+Gravitational Acceleration اللي هو تسارع
+
+39
+00:03:22,080 --> 00:03:26,880
+الجاذبية، اتجاهه دائما لأسفل، لأسفل، إذا هو مثال،
+
+40
+00:03:26,880 --> 00:03:29,100
+لو أقول يا عزيزي الجاذبية تسعة، بوينت،
+
+41
+00:03:29,100 --> 00:03:33,930
+ثمانية، الـ direction اللي هي ايش؟ لأسفل، وحدة القياس
+
+42
+00:03:33,930 --> 00:03:37,270
+meter per second squared، إذا هنا أعطيتكم قيمة
+
+43
+00:03:37,270 --> 00:03:44,470
+تسعة، ثمانية، اتجاهها لأسفل، وحدة قياس meter per
+
+44
+00:03:44,470 --> 00:03:48,730
+second، طبعا هنا قمت أن أكتب الـ vector، كيف أكتب الـ
+
+45
+00:03:48,730 --> 00:03:52,070
+vector؟ أن الـ vector، وأريكم vector quantity one
+
+46
+00:03:52,070 --> 00:03:58,260
+plus a، كيف أكتبه أيه؟ أكتبه a، يا إما بأكتب له الـ
+
+47
+00:03:58,260 --> 00:04:05,740
+boldface بخط خميل، يا بأكتب له إشارة فوق حرف قيمته A
+
+48
+00:04:05,740 --> 00:04:11,520
+وعليه اتجاه، اللي هي سهم بتعبر عن المتجهة، لذا يا
+
+49
+00:04:11,520 --> 00:04:19,020
+بأكتبه بخط خميل هنا أو بأكتبه برمز وعليه إشارة
+
+50
+00:04:19,020 --> 00:04:24,900
+المتجهة، اللي هو السهم عليه، أما أنا أريد أحدد الـ
+
+51
+00:04:24,900 --> 00:04:30,360
+magnitude فقط، الـ magnitude للـ vector a، الـ
+
+52
+00:04:30,360 --> 00:04:40,340
+magnitude عنده للـ vector a عبارة عن ايه؟ بهذا
+
+53
+00:04:40,340 --> 00:04:46,760
+الشكل، أو بكتبه بخط فيه، إذا يا بكتبه بهذه الصورة
+
+54
+00:04:46,760 --> 00:04:54,470
+أو بكتبه italic type بهذا الشكل، طيب لو أنا بدي أمثل
+
+55
+00:04:54,470 --> 00:04:59,490
+vector الآن، الـ vector أيه هذا، بدي أمثله، بدي أمثله
+
+56
+00:04:59,490 --> 00:05:04,310
+هندسيا، صفحة، وده بدي أرسم فيه، رسم بياني، كيف بدي
+
+57
+00:05:04,310 --> 00:05:09,830
+أمثله؟ بدي أمثله عبارة عن خط مستقيم، برأسه ايش؟ سهم.
+
+58
+00:05:09,830 --> 00:05:13,430
+إذا هذا تمثيل الـ vector، إذا لو جلد عندي vector a
+
+59
+00:05:13,430 --> 00:05:19,910
+وبدي أمثله، خط مستقيم، برأسه بيكون عنده سهم، هذا
+
+60
+00:05:19,910 --> 00:05:25,200
+عملية تمثيل الـ vector، منقل هلج، equality of vectors
+
+61
+00:05:25,200 --> 00:05:32,060
+and the two vectors، لما يتساوى، لو قلت الـ vector a
+
+62
+00:05:32,060 --> 00:05:38,800
+بيساوي الـ vector b، أيه الشروط للتساوي هاي الـ
+
+63
+00:05:38,800 --> 00:05:45,950
+vector a هو الـ Vector A، اللي أنا بمثله عبارة عن
+
+64
+00:05:45,950 --> 00:05:50,350
+خط مستقيم في نهايته سهم، هو الـ Vector B، إذا A
+
+65
+00:05:50,350 --> 00:05:55,810
+بيساوي B، فبيكون فيه حاجتين، أول حاجة الـ Magnitude
+
+66
+00:05:55,810 --> 00:06:00,640
+alone بيساوي الـ magnitude للمتجه الثاني، الـ
+
+67
+00:06:00,640 --> 00:06:05,040
+magnitude للـ A بيساوي الـ magnitude للـ B، النقطة
+
+68
+00:06:05,040 --> 00:06:09,940
+الثانية، الـ direction للـ A والـ direction للـ B ده
+
+69
+00:06:09,940 --> 00:06:14,220
+same direction بنفس الاتجاه، إذا يتساوين فيه حاجتين،
+
+70
+00:06:14,220 --> 00:06:19,240
+الـ magnitude والـ direction يكونوا معا متساويين.
+
+71
+00:06:19,240 --> 00:06:25,400
+same magnitude and same direction، طيب لو كان في
+
+72
+00:06:25,400 --> 00:06:31,400
+عندي vector ده same direction لكن قيمته أكبر أو أصغر
+
+73
+00:06:31,400 --> 00:06:38,030
+بس يكون شرط، في شرط مهم جدا أن يكون ده same direction، هذا
+
+74
+00:06:38,030 --> 00:06:44,470
+عندك خمسة نيوتن، خمسة سنتيمتر، وهذا عندك بالسنتيمتر
+
+75
+00:06:44,470 --> 00:06:49,830
+فهو A أكبر من B، أكبر من C، آسف، لو كان هذا بالمتر، و
+
+76
+00:06:49,830 --> 00:06:55,070
+هذا بالسنتيمتر، لازم أستخدم وحدات متشابهة، طيب لو
+
+77
+00:06:55,070 --> 00:07:01,670
+كانت متجهة واحد باليمين والثاني باليسار، A اتجاهه
+
+78
+00:07:01,670 --> 00:07:05,670
+إلى اليمين، وB إلى اليسار، ايش الفرق بينهم؟ القيمة
+
+79
+00:07:05,670 --> 00:07:10,870
+نفس القيمة، يعني A قيمتها، الـ magnitude له، وB الـ
+
+80
+00:07:10,870 --> 00:07:15,850
+magnitude له نفس القيمة، بأخذ نفس الرقم، لكن opposite
+
+81
+00:07:15,850 --> 00:07:19,150
+direction، الـ opposite direction، الإشارة السالبة
+
+82
+00:07:19,150 --> 00:07:23,270
+هذه عبارة عن opposite direction، متعاكسات في
+
+83
+00:07:23,270 --> 00:07:28,260
+الاتجاه، هذه الإشارة السالبة، في المتجهات بتعبر عن
+
+84
+00:07:28,260 --> 00:07:33,620
+اتجاه، لكن في الـ scalar بتعبر عن قيمة، فعلا في الـ
+
+85
+00:07:33,620 --> 00:07:40,440
+scalar قيمة، في الـ direction عبارة عن اتجاه، نجمع
+
+86
+00:07:40,440 --> 00:07:46,380
+نقطة ثانية، Addition of vectors، لجمع المتجهات، جمع
+
+87
+00:07:46,380 --> 00:07:50,180
+المتجهات في طريقتين، الطريقة الأولى بسميها
+
+88
+00:07:50,180 --> 00:07:53,720
+Graphical method، الـ Graphical method، إذا أنا أرسم
+
+89
+00:07:53,720 --> 00:07:59,100
+أرسم المتجه الأولاني، وأرسم المتجه الثاني، وأجيب
+
+90
+00:07:59,100 --> 00:08:06,120
+جمع A زائد B، كيف تجمع A زائد B؟ أول حاجة المتجه
+
+91
+00:08:06,120 --> 00:08:11,820
+الأولاني، هي وليكن هنا، هذا المتجه A، المتجه الثاني B
+
+92
+00:08:11,820 --> 00:08:16,660
+كان هنا، عند المتجه الثاني B، ايش كيف تجمعهم لبعض؟
+
+93
+00:08:16,660 --> 00:08:20,620
+بدي أروح للمتجه الأولاني، عارفين من نقطة بداية من
+
+94
+00:08:20,620 --> 00:08:26,840
+رأسه، بدي أنقل المتجه B وأحطه عند رأس المتجه A.
+
+95
+00:08:27,830 --> 00:08:34,130
+ما عنديش ولا شيء، الـ D اللي هنا، والـ A، الـ B هذا ليس
+
+96
+00:08:34,130 --> 00:08:38,550
+هذا، لأن هنا تساوي الاتجاه، يكون نفس الاتجاه، و
+
+97
+00:08:38,550 --> 00:08:42,510
+القيمة الأصلية، تكون معاها نفس القيمة، إذا الـ B هنا
+
+98
+00:08:42,510 --> 00:08:48,390
+هي الـ B هنا، الآن A زائد B هي نقطة البداية للمتجه
+
+99
+00:08:48,390 --> 00:08:54,710
+الأولاني A، نقطة النهاية أو سهم المتجه الثاني B،
+
+100
+00:08:54,710 --> 00:09:04,160
+هذا يكون A زائد B، طيب أنا بجلد B، طيب ممكن أنقل A
+
+101
+00:09:04,160 --> 00:09:12,080
+ما في أي مشكلة، ممكن أنقل A هاي
+
+102
+00:09:12,080 --> 00:09:22,700
+A عند نهاية الـ B وأوصل، ايش هتلاحظ؟ B وجمعت لها A
+
+103
+00:09:22,700 --> 00:09:31,770
+هلاحظ حاجة مهمة جدا أن A زائد B وB زائد A نفس
+
+104
+00:09:31,770 --> 00:09:38,130
+القيمة، إذا هنا A زائد B وB زائد A لا تتغير قيمتها.
+
+105
+00:09:38,130 --> 00:09:42,750
+يمكن أن ترسمها هنا، هذه متجهة a وهذه متجهة b،
+
+106
+00:09:42,750 --> 00:09:48,270
+نقلت الـ b اللي هنا، هذا عند b، ونقلت الـ a ما غيرت
+
+107
+00:09:48,270 --> 00:09:51,890
+أي شيء، أيه نفس الاتجاه، نفس القيمة، ودي نفس الاتجاه،
+
+108
+00:09:51,890 --> 00:09:58,120
+نفس القيمة، ايش هيكون عندي؟ a زائد b محصلته، بهذا
+
+109
+00:09:58,120 --> 00:10:05,080
+الاتجاه، b زائد a، b زائد a، b
+
+110
+00:10:05,080 --> 00:10:13,840
+زائد a، b زائد a، b زائد a، b زائد a، b زائد
+
+111
+00:10:13,840 --> 00:10:15,740
+a، b زائد a، b زائد a، b زائد a، b زائد a،
+
+112
+00:10:15,740 --> 00:10:15,800
+b زائد a، b زائد a، b زائد a، b زائد a، b زائد
+
+113
+00:10:15,800 --> 00:10:16,520
+a، b زائد a، b زائد a، b زائد a، b زائد a،
+
+114
+00:10:16,520 --> 00:10:23,090
+b زائد a، b زائد a،بعدين المتجهة الثانية B، وإن انت
+
+115
+00:10:23,090 --> 00:10:28,430
+نهاية المتجهة B، بدأ تب المتجهة، أو أرسم المتجهة C،
+
+116
+00:10:28,430 --> 00:10:35,130
+كونها المحصلة A زائد B زائد C، يعني لو جيت بهذه
+
+117
+00:10:35,130 --> 00:10:40,430
+الطريقة، نمسح connect، الـ 3 متجهات، مؤيّن كانت
+
+118
+00:10:40,430 --> 00:10:51,290
+اتجاهها، هاي A، وهي عند B، وهي عند، وليكن C هنا،أول
+
+119
+00:10:51,290 --> 00:10:58,910
+حاجة ايش بيعمل؟ كل متجه بحط البدء، والسهم نهايته
+
+120
+00:10:58,910 --> 00:11:06,730
+أو السهم اللي موجود عنده، بأرسم المتجه، هاي b، هاي
+
+121
+00:11:06,730 --> 00:11:12,410
+b متجه، لازم أرسم عليها، اللي هي المتجهة، هاي ايه؟
+
+122
+00:11:12,410 --> 00:11:22,670
+هاي b، بتجيب a زائد b زائد c،ولتكن A، محصلة الـ A
+
+123
+00:11:22,670 --> 00:11:27,290
+زائد الـ B زائد الـ C، الآن الـ B هي، ما رسمتها الـ B،
+
+124
+00:11:27,290 --> 00:11:33,830
+بدأ تكون نفس الاتجاه موازي، ونفس القيمة، هاي الـ B،
+
+125
+00:11:33,830 --> 00:11:39,790
+الآن بدأ أجيب الـ C، بدأ أروح بنفس الكيفية أنقله
+
+126
+00:11:39,790 --> 00:11:45,630
+موازي له، بس بدأ يكون عن نهاية الثانية، هاي الموازي،
+
+127
+00:11:45,630 --> 00:11:55,470
+هذا الـ C، والآن A، B، C، نقطة البداية والنهاية هي
+
+128
+00:11:55,470 --> 00:12:03,190
+عبارة عن a زائد b زائد c، لو سألت سؤال، هذا الـ
+
+129
+00:12:03,190 --> 00:12:07,770
+vector r اللي هو عبارة عن a زائد b زائد c، أنا أول
+
+130
+00:12:07,770 --> 00:12:14,670
+حاجة جبت الـ a، وبعدين حطيت الـ b عند رأس الـ a، وبعدين
+
+131
+00:12:14,670 --> 00:12:19,970
+جبت الـ c وحطيتها عند رأس الـ b،تلاقي عند المتجه A،
+
+132
+00:12:19,970 --> 00:12:27,110
+طيب لو أنا غيرت، جبت الـ A، بدل ما أجيب الـ B، جبت الـ C،
+
+133
+00:12:27,110 --> 00:12:35,930
+وبعدين جبت الـ B، يعني قلت A زائد C زائد B، ايش
+
+134
+00:12:35,930 --> 00:12:43,380
+النتيجة اللي يطلع عندي؟ طبعا هيطلع نفس الشيء، هو متجه R،
+
+135
+00:12:43,380 --> 00:12:49,420
+هذا متجه R، نفس المتجه اللي هنا، أنا بقدر أقول A زائد
+
+136
+00:12:49,420 --> 00:12:55,960
+B زائد C، وA زائد C زائد B، ونفس الشيء، ممكن أجمع A
+
+137
+00:12:55,960 --> 00:13:03,140
+زائد B وأجيب محصلتهم لحالهم، A زائد B وأجمعلها C،
+
+138
+00:13:04,230 --> 00:13:07,670
+يعني هنا بقى الدرجة اللي يسمونها R هي عبارة عن A
+
+139
+00:13:07,670 --> 00:13:14,650
+زائد B زائد C، وهنا نفس الشيء، ممكن أجمع الـ A والـ
+
+140
+00:13:14,650 --> 00:13:21,030
+C وبعدين أجمع لهم AB، إذا ممكن أقول A زائد B زائد
+
+141
+00:13:21,030 --> 00:13:26,270
+C كمان بتساوي، A وB وC أجمعهم لحالهم، أجيب
+
+142
+00:13:26,270 --> 00:13:31,720
+محصلتهم، وأجمع لهم AB، الـ A، إذا بقول تجمعية أو
+
+143
+00:13:31,720 --> 00:13:36,260
+إبدالية، إذا جمعت الـ vector عبارة عن إبدالية، بقدر أقول
+
+144
+00:13:36,260 --> 00:13:40,780
+AB بيساوي BA، أو تجمعية، بقدر أجمع أي اثنين مع بعض
+
+145
+00:13:40,780 --> 00:13:45,220
+في البداية، A زائد C مثلا، وأجيب المحصلة لهما، و
+
+146
+00:13:45,220 --> 00:13:51,050
+بعدين أجمع لحالة المتجه الثالث، في نقطة عندي بتعرف
+
+147
+00:13:51,050 --> 00:13:55,130
+عليها، وقلت لكم أنا قبل شوية، negative of vector، لأ
+
+148
+00:13:55,130 --> 00:14:00,270
+لو كان عندي vector A، حطيت له إشارة سالبة، ايش يصير
+
+149
+00:14:00,270 --> 00:14:05,150
+عندي؟ ده في magnitude لكن الـ direction كمان ما
+
+150
+00:14:05,150 --> 00:14:09,290
+بتبقى أدل، ايش يصير عندي؟ opposite direction، إذا
+
+151
+00:14:09,290 --> 00:14:14,030
+الإشارة السالبة للمتجه، إذا دار المتجه في سالب،
+
+152
+00:14:14,030 --> 00:14:17,410
+حطيت له إشارة سالبة، دار في سالب واحد، ايش يصير
+
+153
+00:14:17,410 --> 00:14:23,840
+عندي؟  بعكس المتجه، لكن قيمته بتبقى نفس القيمة، طيب
+
+154
+00:14:23,840 --> 00:14:28,260
+احنا اتكلمنا عن جمع المتجهات، وأنا بدأ أقول طرح
+
+155
+00:14:28,260 --> 00:14:32,560
+المتجهات، subtraction
+
+156
+00:14:32,560 --> 00:14:37,700
+of vectors، طرح المتجهات، عندي vector B و vector A،
+
+157
+00:14:37,700 --> 00:14:42,420
+هي عملية الطرح هي عملية جمع لمين؟ لمجموع vector،
+
+158
+00:14:43,730 --> 00:14:49,350
+يعني أنا بقدر أقول A ناقص B هي عبارة عن A زائد
+
+159
+00:14:49,350 --> 00:14:53,750
+الـ ناقص B، الـ opposite direction لمن؟ للـ B، يعني
+
+160
+00:14:53,750 --> 00:14:58,730
+كأنها جمع متجهين، الطريق هو عملية جمع لمن؟ لـ
+
+161
+00:14:58,730 --> 00:15:04,750
+opposite direction للمتجه الثاني، طيب في حاجة
+
+162
+00:15:04,750 --> 00:15:08,830
+جديدة بدأ أخدها، في حاجة اسمها unit vector، الـ unit
+
+163
+00:15:08,830 --> 00:15:14,590
+vector، تعريفها البسيط هي متجه، unit vector، unit
+
+164
+00:15:14,590 --> 00:15:19,670
+معناته واحد أو واحد، إذا ما من unit vector لأي
+
+165
+00:15:19,670 --> 00:15:26,450
+vector هو عبارة عن أي vector لكن قيمته جده unity،
+
+166
+00:15:26,450 --> 00:15:31,950
+قيمته واحد، يعني زي ما في المثال أنا عندي ممر هنا،
+
+167
+00:15:31,950 --> 00:15:38,970
+الممر الخارجي هذا اعتبرته اتجاهه للشمال، اتجاهه
+
+168
+00:15:38,970 --> 00:15:46,83
+
+223
+00:20:40,180 --> 00:20:46,400
+وحدات أو ثلاث متجهات، واحدة اللي هو المحور X
+
+224
+00:20:46,400 --> 00:20:55,260
+ومحور Y ومحور Z، هذا XYZ أو أبدأ من هنا XYZ أو XYZ
+
+225
+00:20:55,260 --> 00:21:03,260
+له بهذا الدوار. طيب، نجي الآن، أي vector، هل ممكن
+
+226
+00:21:03,260 --> 00:21:06,460
+أكتبه؟ لو في عندي vector A، هذا vector A
+
+227
+00:21:11,290 --> 00:21:16,870
+هل ممكن آخذ منه متجه، أو أقص منه شجفة يعني، أو قطعة
+
+228
+00:21:16,870 --> 00:21:22,610
+تكون قيمتها واحد، متجه بنفس الاتجاه، يعني عنده طول
+
+229
+00:21:22,610 --> 00:21:26,850
+أو منطقة معينة، متجه معين، لو أنا راح أقص منه
+
+230
+00:21:26,850 --> 00:21:34,370
+واحدة، واحدة، واحدة، إيش بقدر أقول؟ بقدر أقول، هذه
+
+231
+00:21:34,370 --> 00:21:39,620
+واحدة، إيش علاقتها بالمتجه A؟ لا تقول
+
+232
+00:21:39,620 --> 00:21:44,900
+كم؟ واحد. إذا بقدر أقول الـ A اللي أنا بدي أرمز
+
+233
+00:21:44,900 --> 00:21:52,740
+لها بالرمز Â، هو هنا خط فوق مين؟ لأنها متجهة، و hat
+
+234
+00:21:52,740 --> 00:21:58,280
+معناتها وحدة. إذا بقدر أقول هذه عبارة Â هي
+
+235
+00:21:58,280 --> 00:22:07,080
+متجه مين؟ unit vector. هل بدأت تتبدأ الـ A بدلالة
+
+236
+00:22:07,080 --> 00:22:14,140
+الـ Â؟ الـ A .. الـ vector A هي إيه بتساوي؟
+
+237
+00:22:14,140 --> 00:22:17,840
+جدّوش الوحدة .. قيمة الـ A .. جدّوش قيمة الـ A؟
+
+238
+00:22:17,840 --> 00:22:23,040
+قيمة الـ A، ما ننساش، برمزها عبارة عن A؟ بقى ده الشكل
+
+239
+00:22:23,040 --> 00:22:30,380
+أو برمزها بخط فوقها، إذا بدأت تتبدأ بخط فوق A، قيمتها؟
+
+240
+00:22:30,380 --> 00:22:38,090
+باتجاهها وين؟ في اتجاه الـ unit vector A، قيمتها في
+
+241
+00:22:38,090 --> 00:22:41,430
+اتجاه الـ unit vector A، يعني بقدر أقول قيمتها خمسة
+
+242
+00:22:41,430 --> 00:22:46,150
+و اتجاهها إيش؟ خمس وحدات، إذا هذه قيمتها لما تبقى زي ذلك
+
+243
+00:22:46,150 --> 00:22:52,710
+قيمتها واحد، واتجاهها في اتجاه الـ A، لو عندي vector
+
+244
+00:22:52,710 --> 00:22:59,170
+في اتجاه .. نحفظ مثال ذكرناه، vector A في اتجاه الـ
+
+245
+00:22:59,170 --> 00:23:06,930
+X الموجب، positive X. كيف نستطيع أن نرتبه؟ متجه A هو قيمته
+
+246
+00:23:06,930 --> 00:23:10,390
+في اتجاه المحور X، لو كان عندي فيكتور ثالث في اتجاه
+
+247
+00:23:10,390 --> 00:23:14,010
+الـ J، فأقول قيمته في اتجاه الـ J، لو كان عندي
+
+248
+00:23:14,010 --> 00:23:20,430
+فيكتور ثالث في اتجاه الـ K، بقول عبارة عن فيكتور C،
+
+249
+00:23:20,430 --> 00:23:25,070
+إيش بيساوي؟ قيمة الـ C في لغة المتجهات، في اتجاه الـ K
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/aGUrkWh5O14_postprocess.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/aGUrkWh5O14_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..cb8a5ac70d90aa57b926f8a7750c17cfb4f6dd83
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/aGUrkWh5O14_postprocess.srt
@@ -0,0 +1,996 @@
+1
+00:00:05,110 --> 00:00:10,210
+طبعا اليوم نكمل chapter رقم واحد طبعا عارفين في
+
+2
+00:00:10,210 --> 00:00:14,950
+البداية ان chapter رقم واحد هو مقدمة مقدمة عن
+
+3
+00:00:14,950 --> 00:00:19,650
+المادة اللي احنا بدنا ناخدها طبعا مهم جدا لان هو
+
+4
+00:00:19,650 --> 00:00:24,170
+بتكلم عن أساسيات اليوم هنتكلم عن أساس من هذه
+
+5
+00:00:24,170 --> 00:00:28,620
+الأساسيات اللي هو ال vectors و ال scalarالـ
+
+6
+00:00:28,620 --> 00:00:34,000
+vectors منعته المتجهات والـ scalar هي الكيميات أو
+
+7
+00:00:34,000 --> 00:00:39,300
+القياس الكيميات القياسية لما تكلم فزيائية scalar
+
+8
+00:00:39,300 --> 00:00:44,420
+او هو ال scalar quantity او physical quantity لما
+
+9
+00:00:44,420 --> 00:00:49,460
+تكون عندك كيمية فزيائية قياسيةأيه كيف بتعرفها؟
+
+10
+00:00:49,460 --> 00:00:54,820
+بتعرفها بحاجة اسمها ال magnitude المقدارها فقط
+
+11
+00:00:54,820 --> 00:01:00,960
+يعني انا لو عندي distance مسافة بقول قيمتها كم؟
+
+12
+00:01:00,960 --> 00:01:07,380
+five خمسةلكن يحتاج أيضًا شيء يدفعها الـ Unit لأنني
+
+13
+00:01:07,380 --> 00:01:15,260
+أتكلم عن الواقع الفيزيائي الواقع الفيزيائي الواقع
+
+14
+00:01:15,260 --> 00:01:19,960
+الفيزيائي
+
+15
+00:01:20,090 --> 00:01:26,810
+مجموعه خمسة ومجموعه متر اذا كمية الفيزياء تحتاج
+
+16
+00:01:26,810 --> 00:01:32,110
+حاجة مجموعه اساسا زائد المجموعه اما ال vector
+
+17
+00:01:32,110 --> 00:01:37,950
+المتجه رياضيا قيمه اتجاه سكالر رياضيا مجموعه
+
+18
+00:01:37,950 --> 00:01:43,030
+مجموعه اتجاه لكن physical quantity لازم اقول انه
+
+19
+00:01:43,030 --> 00:01:46,450
+مجموعه اتجاه
+
+20
+00:01:47,020 --> 00:01:52,740
+قيمة و اتجاه يعني كمثال له و لازم اضغفلها اذا
+
+21
+00:01:52,740 --> 00:01:56,060
+اتكلمت عن physical quantity اضغفلها ال units
+
+22
+00:01:56,060 --> 00:02:02,760
+المستخدمةكمثال لما اقول displacement ازاحة الازاحة
+
+23
+00:02:02,760 --> 00:02:07,660
+هي الجلمندق عملتله ازاحة ازاحة قيمتها خمسين ساطن
+
+24
+00:02:07,660 --> 00:02:13,560
+اذا بقول خمسين ساطن ازاحة لكن وين اتجاهها في اتجاه
+
+25
+00:02:13,560 --> 00:02:17,820
+الشرق او اتجاه الغرب او اليمين او اليسار اذا عند
+
+26
+00:02:17,820 --> 00:02:22,960
+الفتح الفتح بالظبط تحديده اذا كان physical
+
+27
+00:02:22,960 --> 00:02:28,210
+quantity ريابينبنزل نتحديد ملمتود و اتجاه لكن ال
+
+28
+00:02:28,210 --> 00:02:32,950
+physical quantity بنزل نتحديده ملمتود قيمة و
+
+29
+00:02:32,950 --> 00:02:37,730
+direction and units المستخدمة في القيارة امثل
+
+30
+00:02:37,730 --> 00:02:41,450
+عليهم example على ال scale في عندي مجموعة من
+
+31
+00:02:41,450 --> 00:02:46,090
+examples او ال hazard time الزمن ال volume الحجم
+
+32
+00:02:46,090 --> 00:02:50,010
+الحجم هذا يكون حجمه خمس متر خمس متر ماتتغير اشتغل
+
+33
+00:02:50,010 --> 00:02:56,420
+على المكان او نتجه ال massالكتلة الديناستي الكثافة
+
+34
+00:02:56,420 --> 00:03:00,720
+ال energy ال distance المسافة ال temperature لما
+
+35
+00:03:00,720 --> 00:03:05,180
+أشهد أتكلم examples عند على ال vector او physical
+
+36
+00:03:05,180 --> 00:03:12,080
+quantityDisplacement، إزاحة، Velocity، سرعة،
+
+37
+00:03:12,080 --> 00:03:17,540
+Acceleration، تسارع، وين اتجاهه؟ مثال عليه الـ
+
+38
+00:03:17,540 --> 00:03:22,080
+Gravitational Acceleration اللي بيقول اتسارع
+
+39
+00:03:22,080 --> 00:03:26,880
+الجاذبية اتجاهه دائما لأسفل، لأسفل، إذا هو مثال،
+
+40
+00:03:26,880 --> 00:03:29,100
+لو أقول يا عزيزي الجاذبية عظيمة، تسعة، بوين،
+
+41
+00:03:29,100 --> 00:03:33,930
+تمانية، ال direction اللي هيين؟لأسفل وحدة القياس
+
+42
+00:03:33,930 --> 00:03:37,270
+meter per second squared إذا هنا أعطيتكم قيمة
+
+43
+00:03:37,270 --> 00:03:44,470
+تسعبون تمانية اتجاهها لأسفل وحدة قياس meter per
+
+44
+00:03:44,470 --> 00:03:48,730
+second طبعا هنا قمت أن أكتب ال vector كيف بكتب ال
+
+45
+00:03:48,730 --> 00:03:52,070
+vector؟ ان ال vector وريكم vector quantity one
+
+46
+00:03:52,070 --> 00:03:58,260
+plus a كيف بكتبه ايه؟ بكتبه aيا إما بأكتب له الـ
+
+47
+00:03:58,260 --> 00:04:05,740
+boldface بخط خميل يا بأكتب له إبارة عن حرف قيمته A
+
+48
+00:04:05,740 --> 00:04:11,520
+وعليه اتجاه اللي هي سهم بتعبر عن المتجهة، لذا يا
+
+49
+00:04:11,520 --> 00:04:19,020
+بأكتبه بخط خميل هنا أو بأكتبه برمز وعليه إشارة
+
+50
+00:04:19,020 --> 00:04:24,900
+المتجهة اللي هو السهم عليهأما انا اريد احدد ال
+
+51
+00:04:24,900 --> 00:04:30,360
+magnitude الى فقط ال magnitude ل ال vector a ال
+
+52
+00:04:30,360 --> 00:04:40,340
+magnitude عنده ل ال vector a عبارة عن ايه بهذا
+
+53
+00:04:40,340 --> 00:04:46,760
+الشكل او بكتبه بخطر فيه اذا يا بكتبه بهذه الصورة
+
+54
+00:04:46,760 --> 00:04:54,470
+او بكتبه italic type بهذا الشكلطيب لو انا بدي امثل
+
+55
+00:04:54,470 --> 00:04:59,490
+vector الان ال vector ايه هذا بدي امثله بدي امثله
+
+56
+00:04:59,490 --> 00:05:04,310
+هندسيا اصفحه و ده بدي ارسم فيه عرسل بياني كيف بدي
+
+57
+00:05:04,310 --> 00:05:09,830
+امثله بدي امثله عبارة عن خط مستقيم برأسه ايش سهم
+
+58
+00:05:09,830 --> 00:05:13,430
+اذا هذا تمثيل ال vector اذا لو جلد عندي vector ايه
+
+59
+00:05:13,430 --> 00:05:19,910
+و بدي امثله خط مستقيم فرأسه بيكون عنده سهم هذا
+
+60
+00:05:19,910 --> 00:05:25,200
+عملية تمثيل ال vectorمنقل هلج equality of vector
+
+61
+00:05:25,200 --> 00:05:32,060
+and the two vectors لما يتساوى لو قلت ال vector a
+
+62
+00:05:32,060 --> 00:05:38,800
+بيساوى ال vector b ايه الشروط التساوى هاي ال
+
+63
+00:05:38,800 --> 00:05:45,950
+vector aهو الـ Vector A، اللي أنا بمثله عبارة عن
+
+64
+00:05:45,950 --> 00:05:50,350
+خط مستقيم في نهايته ساهم هو الـ Vector B إذا A
+
+65
+00:05:50,350 --> 00:05:55,810
+بساوي B، فبيكون فيه حاجتين أول حاجة الـ Magnitude
+
+66
+00:05:55,810 --> 00:06:00,640
+aloneبيساوي ال magnitude للمتجه التاني ال
+
+67
+00:06:00,640 --> 00:06:05,040
+magnitude لل A بيساوي ال magnitude لل B النقطة
+
+68
+00:06:05,040 --> 00:06:09,940
+التانية ال direction لل A و ال direction لل B ده
+
+69
+00:06:09,940 --> 00:06:14,220
+same direction بنفس الاتجاه إذا يتساوين فيه حاجتين
+
+70
+00:06:14,220 --> 00:06:19,240
+ال magnitude و ال direction يكونوا معاهم متساوين
+
+71
+00:06:19,240 --> 00:06:25,400
+same magnitude and same directionطيب لو كان في
+
+72
+00:06:25,400 --> 00:06:31,400
+عندى vector ده same باريكش لكن قيمته أكبر أو أصغر
+
+73
+00:06:31,400 --> 00:06:38,030
+بس يكون شرط في شرط مهم جدا ان يكون ده same هناكهذا
+
+74
+00:06:38,030 --> 00:06:44,470
+عندك خمسة نوتن خمسة سانتومتر وهذا عندك بالسانتومتر
+
+75
+00:06:44,470 --> 00:06:49,830
+فهو A أكبر من B أكبر من C أسف لو كان هذا بالمتر و
+
+76
+00:06:49,830 --> 00:06:55,070
+هذا بالسانتومتر لازم استخدم وحدات متشابه طيب لو
+
+77
+00:06:55,070 --> 00:07:01,670
+كانت متجهة واحد باليمين والتاني باليسارA اتجاهه
+
+78
+00:07:01,670 --> 00:07:05,670
+الى اليمين وB الى اليسار ايش الفرق بينهم؟ القيمة
+
+79
+00:07:05,670 --> 00:07:10,870
+نفس القيمة يعني A قيمتها ال magnitude له وB ال
+
+80
+00:07:10,870 --> 00:07:15,850
+magnitude له نفس القيمة باخد نفس رقم لكن opposite
+
+81
+00:07:15,850 --> 00:07:19,150
+direction ال opposite direction الإشارة السالبة
+
+82
+00:07:19,150 --> 00:07:23,270
+هذه عبارة عن opposite direction متعاكسات في
+
+83
+00:07:23,270 --> 00:07:28,260
+الاتجاه هذه الإشارة السالبةفي المبتجهات بتعبر عن
+
+84
+00:07:28,260 --> 00:07:33,620
+اتجاه لكن في ال scalar بتعبر عن قيمة فعالة في ال
+
+85
+00:07:33,620 --> 00:07:40,440
+scalar قيمة في ال direction عبارة عن اتجاهنجمع
+
+86
+00:07:40,440 --> 00:07:46,380
+نقطة تانية Action of vectors لجمع المتجهات جمع
+
+87
+00:07:46,380 --> 00:07:50,180
+المتجهات في طريقتين الطريقة الأولى بسميها
+
+88
+00:07:50,180 --> 00:07:53,720
+Graphical method لـ Graphical method إذا أنا أرسم
+
+89
+00:07:53,720 --> 00:07:59,100
+أرسم المتجهة الأولاني و أرسم المتجهة التاني و أجيب
+
+90
+00:07:59,100 --> 00:08:06,120
+جمع A ذات Bكيف تجمع A زي B؟ أول حاجة المتجه
+
+91
+00:08:06,120 --> 00:08:11,820
+الأولاني هي وليكن هنا هذا المتجه A المتجه التاني B
+
+92
+00:08:11,820 --> 00:08:16,660
+كان هنا عند المتجه التاني B إيش كيف تجمعهم لبعض؟
+
+93
+00:08:16,660 --> 00:08:20,620
+بدي أروح المتجه الأولاني عارفين من نقطة بداية من
+
+94
+00:08:20,620 --> 00:08:26,840
+رأسنا بدي أنقل المتجه B و أحطه عند رأس المتجه A
+
+95
+00:08:27,830 --> 00:08:34,130
+ماعنديش ولا إشي الـD اللي لينا والـAالـ B هذا ليس
+
+96
+00:08:34,130 --> 00:08:38,550
+هذا لأن هناك تساوي الاتجاه يكون نفس الاتجاه و
+
+97
+00:08:38,550 --> 00:08:42,510
+القيمة الاصلة تكون معاها نفس القيمة إذا الـ B هنا
+
+98
+00:08:42,510 --> 00:08:48,390
+هي الـ B هنا الآن A زائد B هي نقطة البداية للمتجه
+
+99
+00:08:48,390 --> 00:08:54,710
+الأولاني A نقطة النهاية لأو سهم المتجه التاني B
+
+100
+00:08:54,710 --> 00:09:04,160
+هذا يكون A زائد B طب أنا بجلدB طيب ممكن أنجل A
+
+101
+00:09:04,160 --> 00:09:12,080
+مافي اي مشكلة ممكن أنجل A هاي
+
+102
+00:09:12,080 --> 00:09:22,700
+A أد نهاية ال B و اوصه ايش هتلاحظه B و جمعتلها A
+
+103
+00:09:22,700 --> 00:09:31,770
+هلاحظ حاجة مهم جدا ان A زائد B و B زائد Aنفس
+
+104
+00:09:31,770 --> 00:09:38,130
+القيمة إذا هنا a زي بي و بي زي دي لا تتغير قيمتها
+
+105
+00:09:38,130 --> 00:09:42,750
+يمكن أن ترسمها هنا هذه مبتجأة a وهذه مبتجأة بي
+
+106
+00:09:42,750 --> 00:09:48,270
+نجرت ال بي اللي هنا هذا عند بي ونجرت ال اي مغيرتش
+
+107
+00:09:48,270 --> 00:09:51,890
+أي شيء ايه نفس الاتجاه نفس القيمة ودي نفس الاتجاه
+
+108
+00:09:51,890 --> 00:09:58,120
+نفس القيمة ايش هيكون عند ايه a زي بي محصلتهبهذا
+
+109
+00:09:58,120 --> 00:10:05,080
+الاتجاه بي زائد اي بي زائد اي بي
+
+110
+00:10:05,080 --> 00:10:13,840
+زائد اي بي زائد اي بي زائد اي بي زائد اي بي زائد
+
+111
+00:10:13,840 --> 00:10:15,740
+اي بي زائد اي بي زائد اي بي زائد اي بي زائد اي بي
+
+112
+00:10:15,740 --> 00:10:15,800
+زائد اي بي زائد اي بي زائد اي بي زائد اي بي زائد
+
+113
+00:10:15,800 --> 00:10:16,520
+اي بي زائد اي بي زائد اي بي زائد اي بي زائد اي بي
+
+114
+00:10:16,520 --> 00:10:23,090
+زائد اي بي زائد ايبعدين المتجهة التانية B وإن انت
+
+115
+00:10:23,090 --> 00:10:28,430
+نهاية المتجهة B بدأ تب المتجهة أو أرسل المتجهة C
+
+116
+00:10:28,430 --> 00:10:35,130
+كونها المحصلة A زائد B زائد C يعني لو جيت بهذه
+
+117
+00:10:35,130 --> 00:10:40,430
+الطريقة نمسح connect ال 3 متجهات مؤيّن كانت
+
+118
+00:10:40,430 --> 00:10:51,290
+اتجاهها هاي A وهي عند B وهي عند ولي أكون C هناأول
+
+119
+00:10:51,290 --> 00:10:58,910
+حاجة ايش بيعمل؟ كل متجة بحط البدالة والسهم نهايته
+
+120
+00:10:58,910 --> 00:11:06,730
+أو السهم اللي موجود عنده بأرسم المتجة بهاي بي هاي
+
+121
+00:11:06,730 --> 00:11:12,410
+بي متجة لازم أرسم عليها اللي هي المتجة هاي ايه؟
+
+122
+00:11:12,410 --> 00:11:22,670
+هاي بي بتجيب ا زائد ب زائد سيولتكون A محصرة الـ A
+
+123
+00:11:22,670 --> 00:11:27,290
+زي الـ B زي الـ C الآن الـ B هي ما رسمتها الـ B
+
+124
+00:11:27,290 --> 00:11:33,830
+بدأ تكون نفس الاتجار موازن ونفس القيمة هاي الـ B
+
+125
+00:11:33,830 --> 00:11:39,790
+الآن بدأ أجيب الـ C بدأ أروح بنفس الكيفية أنقله
+
+126
+00:11:39,790 --> 00:11:45,630
+موازن له بس بدأ يكون عن نهاية التانية هاي الموازن
+
+127
+00:11:45,630 --> 00:11:55,470
+هذا الـ C والآن Aب، س، نقطة البداية و النهاية هي
+
+128
+00:11:55,470 --> 00:12:03,190
+عبارة عن a زائد b زائد c لو سألت سؤال هذا ال
+
+129
+00:12:03,190 --> 00:12:07,770
+vector r اللي هو عبارة عن a زائد b زائد c أنا أول
+
+130
+00:12:07,770 --> 00:12:14,670
+حاجة جبت ال a و بعدين حطيت ال b عند رأس ال a بعدين
+
+131
+00:12:14,670 --> 00:12:19,970
+جبت ال c و حطيتها عند رأس ال bتلاقي عند المتجه A
+
+132
+00:12:19,970 --> 00:12:27,110
+طب لو أنس غيرت جبت ال A بدل ما جيب ال B جبت ال C
+
+133
+00:12:27,110 --> 00:12:35,930
+وبعدين جبت ال B يعني قولت A زائد C زائد B أيش
+
+134
+00:12:35,930 --> 00:12:43,380
+مواقعين يطلع عنده؟طبعاً هيطلع نفس الاشي هو متجه R
+
+135
+00:12:43,380 --> 00:12:49,420
+هذا متجه R نفس المتجه اللي هنا انا بقدر اقول A ذات
+
+136
+00:12:49,420 --> 00:12:55,960
+B ذات C و A ذات C ذات B و A نفس الاشي ممكن اجمع A
+
+137
+00:12:55,960 --> 00:13:03,140
+ذات B و اجيب محصلتهم لحالهم A ذات B و اجمعلها C
+
+138
+00:13:04,230 --> 00:13:07,670
+يعني هنا بقى الدرجة اللي يسمونها R هي عبارة عن A
+
+139
+00:13:07,670 --> 00:13:14,650
+زائد B زائد C وهنا نفس الأشهر ممكن أجمع ال A و ال
+
+140
+00:13:14,650 --> 00:13:21,030
+C و بعدين أجمع لهم AB إذا ممكن أقول A زائد B زائد
+
+141
+00:13:21,030 --> 00:13:26,270
+C كمان بتساوي A و ال B و ال C أجمعهم لحالهم أجيب
+
+142
+00:13:26,270 --> 00:13:31,720
+محصلتهم و أجمع لهم ABالـ A إذا بقول تجمعية أو
+
+143
+00:13:31,720 --> 00:13:36,260
+إدالية إذا جمعت ال vector عبارة عن إدالة بقدر أقول
+
+144
+00:13:36,260 --> 00:13:40,780
+AB بيساوي بـ A أو تجمعية بقدر أجمع أي اتنين مع بعض
+
+145
+00:13:40,780 --> 00:13:45,220
+في البداية A زاد C مثلا و أجيب المحاصلة لهو و
+
+146
+00:13:45,220 --> 00:13:51,050
+بعدين أجمع حالة المتجهة التالتفى نقطة عندى بتتعرف
+
+147
+00:13:51,050 --> 00:13:55,130
+عليها و قلتها لأنا قبل شوية negative of vector لأ
+
+148
+00:13:55,130 --> 00:14:00,270
+لو كان عندى vector A حطيتلى إشارة سالبة إيش هيصير
+
+149
+00:14:00,270 --> 00:14:05,150
+عندى؟ ده في magnitude لكن ال direction كمان ما
+
+150
+00:14:05,150 --> 00:14:09,290
+ببقى ادل إيش بيصير عندى؟ opposite direction إذا
+
+151
+00:14:09,290 --> 00:14:14,030
+الإشارة السالبة للمتجة إذا دورت المتجة في سالب
+
+152
+00:14:14,030 --> 00:14:17,410
+حطيتلى إشارة سالبة دورت في سالب واحد إيش بيصير
+
+153
+00:14:17,410 --> 00:14:23,840
+عندى؟ من عكس المتجةلكن قيمته بتبقى نفس القيمة طب
+
+154
+00:14:23,840 --> 00:14:28,260
+احنا اتكلمنا عن جمع المتجهات وانا بدأ اقول طرح
+
+155
+00:14:28,260 --> 00:14:32,560
+المتجهات subtraction
+
+156
+00:14:32,560 --> 00:14:37,700
+of vectors طرح المتجهات اندر vector B و vector A
+
+157
+00:14:37,700 --> 00:14:42,420
+هي عملية الطرح هي عملية جمع لمين لمجة ال vector
+
+158
+00:14:43,730 --> 00:14:49,350
+يعني انا بقدر اقول ا ناقص بي هي عبارة عن ا زائد
+
+159
+00:14:49,350 --> 00:14:53,750
+الناقص بي ال opposite direction لمن؟ لل بي يعني
+
+160
+00:14:53,750 --> 00:14:58,730
+كأن الجماعات متجهين الطريق هو عملية جمع لمن ل
+
+161
+00:14:58,730 --> 00:15:04,750
+opposite direction لالمتجه التاني طيب في حاجة
+
+162
+00:15:04,750 --> 00:15:08,830
+جديدة بدأ اخدها في حاجة اسمها unit vector ال unit
+
+163
+00:15:08,830 --> 00:15:14,590
+vector تعريفها البسيط هي متجةunit vector unit
+
+164
+00:15:14,590 --> 00:15:19,670
+معناته واحدة او واحد اذا ما من unit vector لأي
+
+165
+00:15:19,670 --> 00:15:26,450
+vector هو عبارة عن مين vector لكن قيمته جداش unity
+
+166
+00:15:26,450 --> 00:15:31,950
+قيمته واحد يعني زي ما في المثال انا عند ممر هنا
+
+167
+00:15:31,950 --> 00:15:38,970
+الممر الخارجي هذا اعتبرته اتجاهه للشمال اتجاهه
+
+168
+00:15:38,970 --> 00:15:46,830
+للشمال فيه بلاط فيهإذا ممكن اعتبر واحدة منهمهذه
+
+169
+00:15:46,830 --> 00:15:51,570
+الوحدة عبارة عن قيمتها كم؟ واحد اتجاهها في اتجاه
+
+170
+00:15:51,570 --> 00:15:57,770
+الشمال إذاً قيمتها واحدة متجهة بس قيمتها كم؟ واحد
+
+171
+00:15:57,770 --> 00:16:02,470
+في حاجة اسمها مرت علينا Cartesian Coordinates
+
+172
+00:16:02,470 --> 00:16:06,130
+Cartesian Coordinates اللي هي عبارة عن مربعات
+
+173
+00:16:06,130 --> 00:16:10,710
+المربعات هذه بتمثل في تلت اتجاهات يعني باجلال
+
+174
+00:16:10,710 --> 00:16:13,970
+النقطة اللي هناك ال corners ال corners في عنده
+
+175
+00:16:13,970 --> 00:16:20,390
+محورمحوريا تلاتة أي نقطة هنا بصفها بالتلات محاولة
+
+176
+00:16:20,390 --> 00:16:26,650
+اللي بسميها X XY و Z بقول خمسة في اتجاه ال X يعني
+
+177
+00:16:26,650 --> 00:16:31,330
+بصف هذه النقطة خمسة في اتجاه ال X تلاتة في اتجاه
+
+178
+00:16:31,330 --> 00:16:36,810
+ال Y وطلع فوق ميلين في اتجاه ال Z إذا هذا عبارة عن
+
+179
+00:16:36,810 --> 00:16:42,220
+نقطة بدي أصفها بالنسبة لمن؟لنقطة الـ origin الاصل
+
+180
+00:16:42,220 --> 00:16:46,000
+اللي موجود عنده هناك فابدأ أصفها اتجاه ال X و
+
+181
+00:16:46,000 --> 00:16:50,940
+اتجاه ال Y و اتجاه ال Z كأنه يتجه بحدد موضع جسم
+
+182
+00:16:50,940 --> 00:16:54,540
+لذا هذا بيسموه اتجاه الموضع هيمر علينا كمان شوية
+
+183
+00:16:54,540 --> 00:16:58,060
+لذا ال Cartesian coordinate المحاول الكارتيزية
+
+184
+00:16:58,060 --> 00:17:04,140
+بيسميها فيها unit vector unit vectors اللي هو ال X
+
+185
+00:17:04,140 --> 00:17:08,480
+و Y و Z او I و J و K
+
+186
+00:17:14,230 --> 00:17:22,190
+هذه المحاور عندي هذا
+
+187
+00:17:22,190 --> 00:17:31,010
+X وY وZ المحاور X ومحور Y ومحور Z هنا في عندي في
+
+188
+00:17:31,010 --> 00:17:39,520
+ال X اللي هي ال I إيش ال I؟ ال I هو متجةقيمته واحد
+
+189
+00:17:39,520 --> 00:17:44,800
+اتجاهه في اتجاه مين؟ محور X يعني ايه قيمة؟ واحد
+
+190
+00:17:44,800 --> 00:17:52,000
+وإيه اتجاهه؟ بحق عليه إشارة المتجر لأنه متجر عند
+
+191
+00:17:52,000 --> 00:17:57,440
+اتجاه التالي اللي هو الـG وعند آخر واحد اللي هو
+
+192
+00:17:57,440 --> 00:18:04,950
+الـKكهات أو جهات او كهات او ايهات اذا عندي تلت
+
+193
+00:18:04,950 --> 00:18:10,590
+متجهات بسميها متجهات الوحدة انا ممكن متجهات الوحدة
+
+194
+00:18:10,590 --> 00:18:15,160
+قيمتها واحد ولها اتجاه يعني اتجاه ال Xيا اما اتجاه
+
+195
+00:18:15,160 --> 00:18:19,320
+واحد في اتجاه الـY يا اما واحد في اتجاه الـZ اي
+
+196
+00:18:19,320 --> 00:18:24,480
+مبتجع بدي اصفه ممكن اصفه في اتجاه المحاول وحدات
+
+197
+00:18:24,480 --> 00:18:29,340
+وحدة خمس وحدات في اتجاه الـI فانا لو عندي vector
+
+198
+00:18:29,340 --> 00:18:36,440
+تاني هنا vector طوله خمسة هذا ال vector ايه؟الـ
+
+199
+00:18:36,440 --> 00:18:44,060
+Vector A هو خمسة مضروبة في المنيل في متجر I
+
+200
+00:18:48,440 --> 00:18:56,560
+خمس وحدات في اتجاه الـ X خمس
+
+201
+00:18:56,560 --> 00:19:00,060
+وحدات في اتجاه الـ X خمس وحدات في اتجاه الـ X خمس
+
+202
+00:19:00,060 --> 00:19:08,760
+وحدات في اتجاه الـ X خمس وحدات في اتجاه الـ X خمس
+
+203
+00:19:08,760 --> 00:19:10,180
+وحدات في اتجاه الـ X
+
+204
+00:19:14,010 --> 00:19:17,350
+هذا الـ Vector P طوله عشرة، إذا الـ Vector P، كيف
+
+205
+00:19:17,350 --> 00:19:22,310
+بدي أصفه؟ الـ Magnitude هو عشرة، عشر وحدات، لكن كـ
+
+206
+00:19:22,310 --> 00:19:26,530
+Vector بدي أكتبه، أنا بقدر أكتبه على صورة إيش؟ عشر
+
+207
+00:19:26,530 --> 00:19:34,100
+وحدات في اتجاه الـY، إذا عشرة جإذاً عشرة وحدات في
+
+208
+00:19:34,100 --> 00:19:39,180
+اتجاه الـY لأن هذا متجر كأنه جوة عشرة ضرب متجر
+
+209
+00:19:39,180 --> 00:19:43,380
+يعني هذا بتذكرني بنقطة معينة إنه لو أنا في عندي
+
+210
+00:19:43,380 --> 00:19:50,340
+vector ال vector A ضربته في رقم هيجي ضرب هذا إيش
+
+211
+00:19:50,340 --> 00:19:57,020
+بيصير؟ خمسة A الخمسة A هذا متجر C مثلا بيصير خمسة
+
+212
+00:19:57,020 --> 00:20:04,280
+مبقو في A عبارة عن إيش؟ خمسأمثال المبتجئين
+
+213
+00:20:04,280 --> 00:20:06,300
+المبتجئين المبتجئين المبتجئين المبتجئين المبتجئين
+
+214
+00:20:06,300 --> 00:20:06,460
+المبتجئين المبتجئين المبتجئين المبتجئين المبتجئين
+
+215
+00:20:06,460 --> 00:20:08,080
+المبتجئين المبتجئين المبتجئين المبتجئين المبتجئين
+
+216
+00:20:08,080 --> 00:20:10,060
+المبتجئين المبتجئين المبتجئين المبتجئين المبتجئين
+
+217
+00:20:10,060 --> 00:20:12,820
+المبتجئين المبتجئين المبتجئين المبتجئين المبتجئين
+
+218
+00:20:12,820 --> 00:20:13,320
+المبتجئين المبتجئين المبتجئين المبتجئين المبتجئين
+
+219
+00:20:13,320 --> 00:20:15,520
+المبتجئين المبتجئين المبتجئين المبتجئين المبتجئين
+
+220
+00:20:15,520 --> 00:20:22,710
+المبتجقيمة خمس أمثال خمس
+
+221
+00:20:22,710 --> 00:20:32,710
+وحدات
+
+222
+00:20:32,710 --> 00:20:34,870
+في اتجاه اللعنة
+
+223
+00:20:40,180 --> 00:20:46,400
+وحدات او تلات متجهات واحدة اللي هو ال I محور X
+
+224
+00:20:46,400 --> 00:20:55,260
+ومحور Y ومحور Z هذا XYZ او ببدأ من هنا XYZ او XYZ
+
+225
+00:20:55,260 --> 00:21:03,260
+له بهذا الدوار طيب نيجي الآن اي vector هل ممكن
+
+226
+00:21:03,260 --> 00:21:06,460
+اكتبه لو في عندي vector A هاي vector A
+
+227
+00:21:11,290 --> 00:21:16,870
+هل ممكن أخد منه متجة أو أقص منه شجف يعني أو قطعة
+
+228
+00:21:16,870 --> 00:21:22,610
+تكون قيمتها واحد متجها بنفس الاتجاه يعني عنده شارع
+
+229
+00:21:22,610 --> 00:21:26,850
+أو منطقة معينة متجة معينة لو أنا راح اتجسيت منه
+
+230
+00:21:26,850 --> 00:21:34,370
+واحد واحدة واحدة إيش بقدر أقول؟ بقدر أقول مهالي
+
+231
+00:21:34,370 --> 00:21:39,620
+واحدة إبالة عن متجةما هي علاقة بالـ A؟ لا تقولي
+
+232
+00:21:39,620 --> 00:21:44,900
+كم؟ واحد، إذا بقدر أقول الـ A اللي أنا بدي أرمز
+
+233
+00:21:44,900 --> 00:21:52,740
+لها بالرمز A hat هو هنا خطخ مين؟ لأنها متجهة و hat
+
+234
+00:21:52,740 --> 00:21:58,280
+معناتها وحدة، إذا بقدر أقول هذه عبارة A hat هي
+
+235
+00:21:58,280 --> 00:22:07,080
+متجه مين؟ unit، vectorهل بدأت تتبدأ بالـ A بدلالة
+
+236
+00:22:07,080 --> 00:22:14,140
+الـ A hat؟ الـ A .. الـ vector A هي إيه بتساوي؟
+
+237
+00:22:14,140 --> 00:22:17,840
+جدّوش الوحدة .. قيمة الـ A .. جدّوش قيمة الـ A؟
+
+238
+00:22:17,840 --> 00:22:23,040
+قيمة الـ A مانساشة برمزها عبارة عن A؟ بقى ده الشكل
+
+239
+00:22:23,040 --> 00:22:30,380
+أو برمجلها بخطر فيها إذا بدأت تتبدأ بخطر A قيمتها؟
+
+240
+00:22:30,380 --> 00:22:38,090
+باتجاهها وين؟فى اتجاه ال unit vector A قيمتها فى
+
+241
+00:22:38,090 --> 00:22:41,430
+اتجاه ال unit vector A يعني بقدر اقول قيمتها خمسة
+
+242
+00:22:41,430 --> 00:22:46,150
+اتجاه ايش خمس وحدات اذا هذه قيمتها لما تبقى زي ذلك
+
+243
+00:22:46,150 --> 00:22:52,710
+قيمتها واحد اتجاهها فى اتجاه ال A لو عندى vector
+
+244
+00:22:52,710 --> 00:22:59,170
+فى اتجاه .. نحفظ مثال ذكرناه، vector A فى اتجاه ال
+
+245
+00:22:59,170 --> 00:23:06,930
+X positive Xكيف نستطيع أن نرتبه؟ مبتجه A هو قيمته
+
+246
+00:23:06,930 --> 00:23:10,390
+في اتجاه العادل، لو كان عندي فيكتور تالت في اتجاه
+
+247
+00:23:10,390 --> 00:23:14,010
+الـJ، فأقول قيمته في اتجاه الـJ، لو كان عندي
+
+248
+00:23:14,010 --> 00:23:20,430
+فيكتور تالت في اتجاه الـK، بقول عبارة عن فيكتور C،
+
+249
+00:23:20,430 --> 00:23:25,070
+ايش بالساوية؟ قيمة الـC في لغة فيكتور الـK
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/aznpz_kO4NA.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/aznpz_kO4NA.srt
new file mode 100644
index 0000000000000000000000000000000000000000..4923c7be612ca7c86aab978e88d2db122488c46c
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/aznpz_kO4NA.srt
@@ -0,0 +1,455 @@
+1
+00:00:05,150 --> 00:00:08,130
+يعطيك العفو. من الـ chapter اليوم إن شاء الله اللي
+
+2
+00:00:08,130 --> 00:00:10,650
+هو آخر جزئية كانت عندي متبقية في هذا الـ chapter
+
+3
+00:00:10,650 --> 00:00:14,790
+اللي هي الـ power. بس قبل ما نكملها، بدنا نراجع
+
+4
+00:00:14,790 --> 00:00:18,270
+مراجعة بسيطة عن الـ work kinetic energy theorem. مهم
+
+5
+00:00:18,270 --> 00:00:21,930
+جداً. الـ work kinetic energy theorem. الـ work kinetic
+
+6
+00:00:21,930 --> 00:00:27,230
+energy theorem قلنا أن الـ work net بقدر أجيبه
+
+7
+00:00:27,230 --> 00:00:31,670
+بطريقتين. هو بيساوي الـ work من الأول زائد الـ work
+
+8
+00:00:31,670 --> 00:00:34,730
+من الثاني زائد زائد زائد... أو الـ work net بيساوي
+
+9
+00:00:34,730 --> 00:00:39,790
+الـ K final ناقص الـ K initial. وهذا بيساوي  نصف M V
+
+10
+00:00:39,790 --> 00:00:45,550
+final تربيع ناقص نصف M V initial تربيع. قلت الـ work
+
+11
+00:00:45,550 --> 00:00:49,670
+net لو أنا حسبته وطلع قيمته بالجول طبعاً، ما عليّ
+
+12
+00:00:49,670 --> 00:00:53,710
+إلا أعوض عن الـ work net في الـ K final ناقص K
+
+13
+00:00:53,710 --> 00:00:55,830
+initial، وأوجد السرعة النهائية أو السرعة
+
+14
+00:00:55,830 --> 00:00:58,010
+الابتدائية. إيش بإعطيني؟ يعني الجسم بدأ من السكون
+
+15
+00:00:58,010 --> 00:01:01,410
+مباشرة، وبقول V initial بيساوي صفر، وبضل الـ V
+
+16
+00:01:01,410 --> 00:01:04,310
+final والـ work net عرفته، بقدر أطلع السرعة النهائية.
+
+17
+00:01:04,310 --> 00:01:08,610
+اللي بتحرك فيها الجسم. ممكن أخذنا مثال على هذا
+
+18
+00:01:08,610 --> 00:01:13,470
+الكلام وحسبنا اللي هو المثال هذا، وطلعنا السرعة
+
+19
+00:01:13,470 --> 00:01:17,230
+المثال هذا، والمثال الثاني، وطلعنا السرعة. مش
+
+20
+00:01:17,230 --> 00:01:22,230
+السرعة النهائية، الـ K النهائية، الـ kinetic energy
+
+21
+00:01:22,230 --> 00:01:24,750
+النهائية. من الـ kinetic energy النهائية، لو قال
+
+22
+00:01:24,750 --> 00:01:27,650
+يحسب السرعة، بيقول الـ kinetic energy بيساوي نصف m
+
+23
+00:01:27,650 --> 00:01:31,950
+V final تربيع. بطل الـ V final. اليوم بنتكلم عن حاجة
+
+24
+00:01:31,950 --> 00:01:35,270
+اسمها الـ power. الـ power مرتبطة ارتباط وثيق بمين؟
+
+25
+00:01:35,270 --> 00:01:40,090
+بالشغل. الـ power، إذا الـ power كان الشغل اللي أنا
+
+26
+00:01:40,090 --> 00:01:45,070
+ببدّله خلال فترة زمنية بسيطة، يكون الـ power كبيرة. زمن،
+
+27
+00:01:45,070 --> 00:01:50,150
+لكن إذا أنا ببدأ الشغل في فترة زمنية كبيرة، يعني
+
+28
+00:01:50,150 --> 00:01:54,350
+قاعد بشتغل إيش؟ عامة، ما فيش power. إذا الـ power هي
+
+29
+00:01:54,350 --> 00:02:00,510
+عبارة عن إيش؟ عن الشغل أو التغير في الشغل بالنسبة
+
+30
+00:02:00,510 --> 00:02:07,490
+لمين؟ للزمن. إذا تغير في الشغل على الزمن، كده الـ power
+
+31
+00:02:07,490 --> 00:02:15,290
+عندي تعريفها: الـ rate of the work بالنسبة للزمن، أو
+
+32
+00:02:15,290 --> 00:02:19,070
+هو الشغل المبذول في زمن معين. يعني الشغل كل ما قل
+
+33
+00:02:19,070 --> 00:02:23,170
+الزمن، كل ما زادت الـ power. ذاكرين في حاجة هذا: average
+
+34
+00:02:23,170 --> 00:02:27,070
+power. تعريف الـ average power: تغير في الشغل، لأن الشغل
+
+35
+00:02:27,070 --> 00:02:30,430
+ممكن يكون في لحظة في عندي شغل أكثر وشغل أقل. أنا
+
+36
+00:02:30,430 --> 00:02:36,110
+بأخذ الـ average. لكن لو بدي instantaneous power، لحظة
+
+37
+00:02:36,110 --> 00:02:39,090
+الـ power اللحظية، إيش بده أجيب؟ بده أجيب الـ
+
+38
+00:02:39,090 --> 00:02:41,590
+interval. زي مثلاً احنا ذاكرين في السرعة، السرعة
+
+39
+00:02:41,590 --> 00:02:45,490
+اللحظية والتسارع اللحظي، إيش عملت في السرعة في
+
+40
+00:02:45,490 --> 00:02:48,210
+الزمن، الفترة الزمنية، ما عليها صارت تقل للصفر. إذا
+
+41
+00:02:48,210 --> 00:02:51,270
+هو الـ derivative. الـ derivative لمين؟ للـ work
+
+42
+00:02:51,270 --> 00:02:56,510
+بالنسبة للزمن. إذا كانت هذه حالة خاصة، بقول: إذا كانت
+
+43
+00:02:56,510 --> 00:03:07,030
+الـ F constant، dW متساوية F dot dS. الشغل المبذول لما
+
+44
+00:03:07,030 --> 00:03:11,770
+تكون الـ F constant، في هذه الحالة عوض عن الـ dW: FdS
+
+45
+00:03:11,770 --> 00:03:18,350
+على dT. هذا التعريف منين؟ السرعة. فبقدر أقول FV. فعند
+
+46
+00:03:18,350 --> 00:03:22,410
+الـ instant، instantaneous، لها علاقة بالـ force ولها علاقة
+
+47
+00:03:22,410 --> 00:03:27,820
+بالسرعة. بتساوي حاصل ضرب متجهين: الـ force في متجهها
+
+48
+00:03:27,820 --> 00:03:32,220
+القوة في متجهها السرعة. متجه القوة ومتجه
+
+49
+00:03:32,220 --> 00:03:35,120
+السرعة بيعطينا كمية قياسية اللي هي الـ power والـ
+
+50
+00:03:35,120 --> 00:03:37,680
+instantaneous power. الـ unit تبعت الـ instantaneous
+
+51
+00:03:37,680 --> 00:03:41,280
+power من هذه العلاقة أو من هذه العلاقة إيش
+
+52
+00:03:41,280 --> 00:03:47,070
+بتساوي؟ جول على second أو بتساوي واط، وبرمز لها بـ W.
+
+53
+00:03:47,070 --> 00:03:51,930
+واط بيساوي واحد جول على واحد second. وممكن من هذه
+
+54
+00:03:51,930 --> 00:03:56,130
+العلاقة: النيوتن وهذا الـ V متر على second، أطلع
+
+55
+00:03:56,130 --> 00:04:00,590
+واحد إيش ثاني؟ عبارة عن نيوتن في متر على second، أو
+
+56
+00:04:00,590 --> 00:04:04,670
+النيوتن أرجعه: كيلوغرام في متر على second
+
+57
+00:04:04,670 --> 00:04:09,490
+square. بيصير كيلوغرام في متر square على second
+
+58
+00:04:09,490 --> 00:04:15,860
+cubic. ناخذ مثال أخير في هذا الـ chapter. بيقول: عند
+
+59
+00:04:15,860 --> 00:04:20,860
+سيارة كتلتها 1500 كيلوغرام، accelerated uniformly،
+
+60
+00:04:20,860 --> 00:04:29,940
+تتحرك from rest، تسارع ثابت أو uniform from
+
+61
+00:04:29,940 --> 00:04:33,600
+rest، تَجِدُ سرعتها عشرة متر في الثانية في ثلاث ثواني.
+
+62
+00:04:33,600 --> 00:04:38,890
+find the work done. بدي أحسب الـ work done هذه الفترة.
+
+63
+00:04:38,890 --> 00:04:41,650
+الـ work done إيش بيساوي؟ أو الـ work net بتغير في
+
+64
+00:04:41,650 --> 00:04:43,770
+الـ kinetic energy. عندي السرعة البداية والسرعة
+
+65
+00:04:43,770 --> 00:04:48,550
+النهائية. بيساوي نصف M V final square ناقص نصف
+
+66
+00:04:48,550 --> 00:04:52,770
+M V initial. V initial بدأ من وين؟ V initial
+
+67
+00:04:52,770 --> 00:04:59,510
+بيساوي صفر. V final بتساوي عشرة. بنطبق وبطلع الباقي.
+
+68
+00:04:59,510 --> 00:05:03,260
+الـ work net.  المطلوب الثاني هو الـ Average Power.
+
+69
+00:05:03,260 --> 00:05:07,020
+الـ Average Power إيش هو؟ أخذناها: تغير في الـ W
+
+70
+00:05:07,020 --> 00:05:10,840
+بالنسبة للتغير في الزمن. التغير في الـ W هنطلعه
+
+71
+00:05:10,840 --> 00:05:14,360
+على الزمن، اللي هو الـ interval للزمن، جدّاش قيمته؟ ثلاث
+
+72
+00:05:14,360 --> 00:05:18,920
+seconds. بطلع قيمته، وحدة قياسه بالواط أو بالجول على
+
+73
+00:05:18,920 --> 00:05:23,580
+السكن. Instantaneous Power. بدي أحسب Instantaneous
+
+74
+00:05:23,580 --> 00:05:27,500
+Power.  انت بساوي ثلاث...انت بساوي ثلاث...إيش بالزمن؟
+
+75
+00:05:27,500 --> 00:05:36,280
+أيه؟ F في V. أو أطلع إيش؟ الـ F هي عبارة عن M في A. F
+
+76
+00:05:36,280 --> 00:05:40,520
+في الـ V. مش هيك تعريف الـ power؟ والـ F بتساوي M في A.
+
+77
+00:05:40,520 --> 00:05:43,420
+ده، طلع الـ acceleration من أي معادلة؟ عندي السرعة
+
+78
+00:05:43,420 --> 00:05:47,180
+الابتدائية صفر، سرعة نهاية والزمن. معادلة رقم واحد:
+
+79
+00:05:47,180 --> 00:05:52,960
+V final بتساوي V initial زائد A في T. منها الـ A بتساوي
+
+80
+00:05:52,960 --> 00:05:59,980
+V final ناقص V initial على T. V initial صفر على T. بطلع
+
+81
+00:05:59,980 --> 00:06:02,560
+الـ acceleration. بعد ما طلع الـ acceleration بضربها
+
+82
+00:06:02,560 --> 00:06:07,040
+في الكتلة، وبعد ما ضربتها في الكتلة بطلع قيمة الـ V
+
+83
+00:06:07,040 --> 00:06:12,420
+وهكذا بكون طلعت الـ power اللحظية. هذا بيكون إن شاء الله chapter
+
+84
+00:06:12,420 --> 00:06:18,160
+ستة اكتمل. إذا chapter ستة بقدر أُلَخِّصه في أربع نقاط.
+
+85
+00:06:18,160 --> 00:06:21,140
+نقاط. أول حاجة اتكلمت عن الـ work، وقلت الـ work ممكن
+
+86
+00:06:21,140 --> 00:06:24,460
+يكون موجب وممكن يكون سالب وممكن يكون صفر، ورفضت
+
+87
+00:06:24,460 --> 00:06:27,480
+كيف أنا بقدر أطلع وأكتشف يكون موجب، وأكتشف يكون
+
+88
+00:06:27,480 --> 00:06:30,360
+سالب، وأكتشف يكون عنده قيمته صفر، وأكتشف يكون
+
+89
+00:06:30,360 --> 00:06:33,700
+maximum. maximum إذا كانت الإزاحة بنفس اتجاه القوة
+
+90
+00:06:33,700 --> 00:06:38,570
+وهي فعلياً القوة المؤثرة وهي عاملة الإزاحة بنفس
+
+91
+00:06:38,570 --> 00:06:42,550
+الاتجاه. رقم اثنين، أخذت اللي هو القوة المتغيرة.
+
+92
+00:06:42,550 --> 00:06:45,970
+والقوة المتغيرة أخذت مثال عليها: الزنبرك. قلت: زنبرك
+
+93
+00:06:45,970 --> 00:06:51,730
+مثال على الـ work لقوة متغيرة، لأنه أنا بغير الإزاحة،
+
+94
+00:06:51,730 --> 00:06:55,870
+بغير قيمة القوة، فلذلك حسبت الـ work، وقلت لازم أدخل
+
+95
+00:06:55,870 --> 00:06:59,410
+التكامل، وطلع قيمته بعتمد على نقطة البداية ونقطة
+
+96
+00:06:59,410 --> 00:07:03,350
+النهاية: نصف Kx initial square ناقص نصف Kx final
+
+97
+00:07:03,350 --> 00:07:08,900
+square. بعد هيك أخذت اللي هو حسبنا الـ kinetic
+
+98
+00:07:08,900 --> 00:07:12,960
+energy وعلاقتها بالـ work، وطلعنا قانون، ومن خلال
+
+99
+00:07:12,960 --> 00:07:15,200
+هذا القانون أنا بقدر أوجد سرعة ابتدائية أو
+
+100
+00:07:15,200 --> 00:07:19,120
+سرعة نهائية. وآخر حاجة اتكلمت عن الـ power وعلاقتها
+
+101
+00:07:19,120 --> 00:07:23,060
+بالشغل. الـ chapter اللي جاي إن شاء الله بيكون عبارة عن
+
+102
+00:07:23,060 --> 00:07:27,570
+الـ energy والتغيير في الـ energy. طبعاً، أذكركم أن
+
+103
+00:07:27,570 --> 00:07:31,590
+الـ energy ما لها قبل بتساوي الـ energy بعد، أو
+
+104
+00:07:31,590 --> 00:07:35,530
+الطاقة لا تفنى ولا تستحدث من العدم. هذه المحاضرة
+
+105
+00:07:35,530 --> 00:07:41,370
+الجاية إن شاء الله بنبدأ فيه وبنوضح لكم كيف أن
+
+106
+00:07:41,370 --> 00:07:44,790
+أقول أن الـ energy initial بتساوي الـ energy final، و
+
+107
+00:07:44,790 --> 00:07:47,910
+كيف أحل عليها مجموعة من المسائل. بتمنى لكم
+
+108
+00:07:47,910 --> 00:07:55,310
+التوفيق في الـ quiz القادم، وكمان بس أقول بالنسبة
+
+109
+00:07:55,310 --> 00:07:57,710
+للـ homework حاولوا قدر الإمكان تحلوا الـ homework
+
+110
+00:07:57,710 --> 00:08:03,410
+لحالكم. أهم حاجة تحل الـ homework، تحاول فيه لحالك، و
+
+111
+00:08:03,410 --> 00:08:08,190
+تعطيني إياه حتى أشوف الـ feedback عنك، وإذا مش الهدف إنك
+
+112
+00:08:08,190 --> 00:08:14,370
+تسلم لي إياه محلول، نقلًا، حاول قدر الإمكان إنك تحل
+
+113
+00:08:14,370 --> 00:08:20,490
+فيه. يعطيكم العافية، وربنا يوفقكم في الامتحان، وفي
+
+114
+00:08:20,490 --> 00:08:21,910
+حياتكم يعني. يعطيكم العافية.
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/aznpz_kO4NA_postprocess.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/aznpz_kO4NA_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..8ca4e525509dab290b3f03cef09bbf1778cc7766
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/aznpz_kO4NA_postprocess.srt
@@ -0,0 +1,456 @@
+1
+00:00:05,150 --> 00:00:08,130
+يعطيك العفو من ال chapter اليوم ان شاء الله اللي
+
+2
+00:00:08,130 --> 00:00:10,650
+هو اخر جزئية كانت عندى متبقية في هذا ال chapter
+
+3
+00:00:10,650 --> 00:00:14,790
+اللى هى ال power بس قبل ما نكملها بدنا نراجع
+
+4
+00:00:14,790 --> 00:00:18,270
+مراجعة بسيطة عن ال work kinetic energy theorem مهم
+
+5
+00:00:18,270 --> 00:00:21,930
+جدا ال work kinetic energy theorem ال work kinetic
+
+6
+00:00:21,930 --> 00:00:27,230
+energy theorem قولنا ان ال work نت بقدر اجيبه
+
+7
+00:00:27,230 --> 00:00:31,670
+طريقتينيا بيساوي ال work من الف الأولى زاد ال work
+
+8
+00:00:31,670 --> 00:00:34,730
+من الف التانية زاد زاد زاد او ال work net بيساوي
+
+9
+00:00:34,730 --> 00:00:39,790
+ال K final ناقص ال K initial وهذا بيساوي نص M V
+
+10
+00:00:39,790 --> 00:00:45,550
+final تربيع ناقص نص M V initial تربيع قلت ال work
+
+11
+00:00:45,550 --> 00:00:49,670
+net لو انا حسبته و طلعت قيمته بالجول طبعا ماعلي
+
+12
+00:00:49,670 --> 00:00:53,710
+الا اعوض عن ال work netفي الـ K final نقص K
+
+13
+00:00:53,710 --> 00:00:55,830
+initial و اوجد السرعة النهائية او السرعة
+
+14
+00:00:55,830 --> 00:00:58,010
+الابتدائية ايش باعطيني يعني الجسم بدأ من السكون
+
+15
+00:00:58,010 --> 00:01:01,410
+مباشرة و بقول V initial بساوة Zero و بضل ال V
+
+16
+00:01:01,410 --> 00:01:04,310
+final و work net عرفته بقدر اطلع السرعة النهائية
+
+17
+00:01:04,310 --> 00:01:08,610
+اللي بتحرك فيها الجسم ممكن أخدنا مثال على هذا
+
+18
+00:01:08,610 --> 00:01:13,470
+الكلام و حسبنا اللي هو المثال هذا و طلعنا السرعة
+
+19
+00:01:13,470 --> 00:01:17,230
+المثال هذا و المثال التاني و طلعنا السرعة مش
+
+20
+00:01:17,230 --> 00:01:22,230
+السرعة النهائية ال Kالنهائية الـ kinetic energy
+
+21
+00:01:22,230 --> 00:01:24,750
+النهائية من الـ kinetic energy النهائية لو قال
+
+22
+00:01:24,750 --> 00:01:27,650
+يحسب السرعة بيقول ال kinetic energy بالساعة نص ان
+
+23
+00:01:27,650 --> 00:01:31,950
+V final تربيع بطل ال V final اليوم بتتكلم مع حاجة
+
+24
+00:01:31,950 --> 00:01:35,270
+اسمها ال power ال power مرتبطة ارتباط وثيق بمين
+
+25
+00:01:35,270 --> 00:01:40,090
+بالشغل ال power اذا ال power كان الشغل اللي انا
+
+26
+00:01:40,090 --> 00:01:45,070
+ببدله خلال فترة زمنية بسيطة يكون power كبيرةزمن،
+
+27
+00:01:45,070 --> 00:01:50,150
+لكن إذا أنا ببدأ الشغل في فترة زمنية كبيرة، يعني
+
+28
+00:01:50,150 --> 00:01:54,350
+قاعد بشتغل إيش، عامة، مافيش power، إذا ال power هي
+
+29
+00:01:54,350 --> 00:02:00,510
+عبارة عن إيش؟ عن الشغل أو التغير في الشغل بالنسبة
+
+30
+00:02:00,510 --> 00:02:07,490
+لمن؟ للزمن، إذاتغير في الشغل على الزمن كده البوار
+
+31
+00:02:07,490 --> 00:02:15,290
+عندي تعريفها ال rate in the work بالنسبة للزمن أو
+
+32
+00:02:15,290 --> 00:02:19,070
+هو الشغل المبذول في زمن معين يعني الشغل كل ما قل
+
+33
+00:02:19,070 --> 00:02:23,170
+الزمن كل ما زادت البوار ذاكرين في حاجة هذا average
+
+34
+00:02:23,170 --> 00:02:27,070
+بوار تعريف ال average بوار تغير في الشغل لأن الشغل
+
+35
+00:02:27,070 --> 00:02:30,430
+ممكن يكون في لحظة في عندي شغل أكثر وشغل أقل انا
+
+36
+00:02:30,430 --> 00:02:36,110
+باخد ال average لكن لو بدي instantaneous بوارلحظة
+
+37
+00:02:36,110 --> 00:02:39,090
+الـ power اللحظية ايش بده اجيب بده اجلل ال
+
+38
+00:02:39,090 --> 00:02:41,590
+interval زي مثلا احنا ذاكرين في السرعة السرعة
+
+39
+00:02:41,590 --> 00:02:45,490
+اللحظية والتسارق اللحظي ايش عملت في السرعة في
+
+40
+00:02:45,490 --> 00:02:48,210
+الزمن الفترة الزمنية ماعالها صارت تقل لل zero اذا
+
+41
+00:02:48,210 --> 00:02:51,270
+هو ال derivative ال derivative لمين لل worth
+
+42
+00:02:51,270 --> 00:02:56,510
+بالنسبة للزمن اذا كانت هذه حالة خاصة بقول اذا كانت
+
+43
+00:02:56,510 --> 00:03:07,030
+ال F constant DW متساوة F dot DSالشغل المبذول لما
+
+44
+00:03:07,030 --> 00:03:11,770
+تكون ال F constant في هذا الحالة عوض عن ال DW FDS
+
+45
+00:03:11,770 --> 00:03:18,350
+على DT هذا التعريف منين؟ السرعة فبقدر أقول FV فعند
+
+46
+00:03:18,350 --> 00:03:22,410
+ال instant inverse لها علاقة بال force ولها علاقة
+
+47
+00:03:22,410 --> 00:03:27,820
+بالسرعة مبتساوة حاصل ضربمتجهين ال force في متجهها
+
+48
+00:03:27,820 --> 00:03:32,220
+القوة في متجهها السرعة ومتجهها القوة ومتجهها
+
+49
+00:03:32,220 --> 00:03:35,120
+السرعة بيعطينا كمية قياسية اللي هي ال power و
+
+50
+00:03:35,120 --> 00:03:37,680
+instantaneous power ال unit تبعت ال instantaneous
+
+51
+00:03:37,680 --> 00:03:41,280
+power من هذه العلاقة او من هذه العلاقة ايش
+
+52
+00:03:41,280 --> 00:03:47,070
+بالساوية جولة على secondأو بتساوي واط برمزولها و
+
+53
+00:03:47,070 --> 00:03:51,930
+واط بيساوي واحد جول على واحد second وممكن من هذه
+
+54
+00:03:51,930 --> 00:03:56,130
+العلاقة النيوتن و هذا ال V متر على second أطلع
+
+55
+00:03:56,130 --> 00:04:00,590
+واحد ايش تاني عبارة عن نيوتن في متر على second أو
+
+56
+00:04:00,590 --> 00:04:04,670
+لنيوتن أرجع العصر و كيلو جرام في متر على second
+
+57
+00:04:04,670 --> 00:04:09,490
+square بيصير كيلو جرام في متر square على second
+
+58
+00:04:09,490 --> 00:04:15,860
+cubicناخد مثال الأخير في هذا الشبطة بيقول عند
+
+59
+00:04:15,860 --> 00:04:20,860
+سيارة كتلتها 1500 كيلو جرام Accelerated uniform
+
+60
+00:04:20,860 --> 00:04:29,940
+تتحرك from rest تسارع ثابت او uniform from
+
+61
+00:04:29,940 --> 00:04:33,600
+rest تجدش عشرة متر في الثانوية في تلاتة ثانوية
+
+62
+00:04:33,600 --> 00:04:38,890
+find ال work done بدي أحسب ال work doneهذه الفترة
+
+63
+00:04:38,890 --> 00:04:41,650
+ال work done ايش بيساوي او ال work net بتتغير في
+
+64
+00:04:41,650 --> 00:04:43,770
+الكاينة تقنياتي عند السرعة البداية و السرعة
+
+65
+00:04:43,770 --> 00:04:48,550
+النهائية بيساوي نص M V final square المثل نص ناقص
+
+66
+00:04:48,550 --> 00:04:52,770
+نص M V initial V initial بدأ من وين V initial
+
+67
+00:04:52,770 --> 00:04:59,510
+بيساوي زيرو V final بتساوي عشرة بنطبق وبطلع البقى
+
+68
+00:04:59,510 --> 00:05:03,260
+ال work netالمطمئنب التاني هو الـ Average Power
+
+69
+00:05:03,260 --> 00:05:07,020
+الـ Average Power ايش هو؟ اخدناها لتغير في الـ W
+
+70
+00:05:07,020 --> 00:05:10,840
+بالنسبة للتغير في الزمن التغير في الـ W هينطلعته
+
+71
+00:05:10,840 --> 00:05:14,360
+على الزمن جالس الـ Interval للزمن جداش قيمته تلاتة
+
+72
+00:05:14,360 --> 00:05:18,920
+Second بطلع قيمته وحدة قياسه بالوط أو بالجول على
+
+73
+00:05:18,920 --> 00:05:23,580
+السكن Instantaneous Power بدي احسب Instantaneous
+
+74
+00:05:23,580 --> 00:05:27,500
+Power انت بسوا تلاتة انت بسوا تلاتة ايش بالزمن
+
+75
+00:05:27,500 --> 00:05:36,280
+ايه؟ Fفى V او اطلع ايش ال F هي عبارة عن M فى A F
+
+76
+00:05:36,280 --> 00:05:40,520
+ضد ال V مش هيك تعريف ال power و ال F بسوء M فى A
+
+77
+00:05:40,520 --> 00:05:43,420
+ده طلع ال acceleration من أي معادل عند السرعة
+
+78
+00:05:43,420 --> 00:05:47,180
+الابتدائية Zero سرعة نهاية و الزمن معادل رقم واحد
+
+79
+00:05:47,180 --> 00:05:52,960
+V final بسوء V initial زائد A فى T منها ال A بسوء
+
+80
+00:05:52,960 --> 00:05:59,980
+V final ناقص V initial على TV نفس V not على T بطلع
+
+81
+00:05:59,980 --> 00:06:02,560
+ال acceleration بعد ما طلع ال acceleration بضربها
+
+82
+00:06:02,560 --> 00:06:07,040
+في الكتلة وبعد ما ضربها في الكتلة بطلع قيمة ال V
+
+83
+00:06:07,040 --> 00:06:12,420
+وهكذا بكون طلعت ال powerاللحظية هذا بيكون ان شبتر
+
+84
+00:06:12,420 --> 00:06:18,160
+ستة اكتمل اذا شبتر ستة بقدر الخصه في نقطة اربع
+
+85
+00:06:18,160 --> 00:06:21,140
+نقاط اول حاجة اتكلمت عن ال word و قلت ال word ممكن
+
+86
+00:06:21,140 --> 00:06:24,460
+يكون موجب و ممكن يكون سالب و ممكن يكون zero و ارفد
+
+87
+00:06:24,460 --> 00:06:27,480
+كيف انا بقدر اطلع و اكتش يكون موجب و اكتش يكون
+
+88
+00:06:27,480 --> 00:06:30,360
+سالب و اكتش يكون عنده قيمته zero و اكتش يكون
+
+89
+00:06:30,360 --> 00:06:33,700
+maximum maximum إذا كانت الإزاحة بنفس اتجاه القوة
+
+90
+00:06:33,700 --> 00:06:38,570
+و هي فعليا القوة المؤثرة و هي عاملة الإزاحةبنفس
+
+91
+00:06:38,570 --> 00:06:42,550
+الاتجاه رقم اتنين اخدت اللي هو القوة المتغيرة
+
+92
+00:06:42,550 --> 00:06:45,970
+والقوة المتغيرة اخدت مثال عليها الزنبرة قلت زنبرة
+
+93
+00:06:45,970 --> 00:06:51,730
+مثال على ال work لقوة متغيرة لأنه انا بغير الإزاحة
+
+94
+00:06:51,730 --> 00:06:55,870
+بتغير قيمة القوة فلذلك حسبت ال work وقلت لازم ادخل
+
+95
+00:06:55,870 --> 00:06:59,410
+التكامل وطلع قيمته بعتمد على نقطة البداية ونقطة
+
+96
+00:06:59,410 --> 00:07:03,350
+النهاية نص Kx initial square ناقص نص Kx final
+
+97
+00:07:03,350 --> 00:07:08,900
+square بعد هيك اخدت اللي هوحسبنا الكائنات ال
+
+98
+00:07:08,900 --> 00:07:12,960
+energy و علاقتها بال work و طلعنا قانون و من خلال
+
+99
+00:07:12,960 --> 00:07:15,200
+قطة القانون انا بقدر او اجهزة سرعة ابتدائية او
+
+100
+00:07:15,200 --> 00:07:19,120
+سرعة نهائية و اخر حاجة اتكلمت عن ال power و علابته
+
+101
+00:07:19,120 --> 00:07:23,060
+بالشغل الشبط اللي جاي ان شاء الله بيكون عبارة عن
+
+102
+00:07:23,060 --> 00:07:27,570
+ال energyو التغيير في ال energy طبعا امر عليكم ان
+
+103
+00:07:27,570 --> 00:07:31,590
+ال energy ما لها قبل بتساوي ال energy بعد او
+
+104
+00:07:31,590 --> 00:07:35,530
+الطاقة لا تفنى ولا تستحدث من العدم هذا المحاضرة
+
+105
+00:07:35,530 --> 00:07:41,370
+الجاية ان شاء الله بنبدأ فيه و بنوضحلكم كيف ان
+
+106
+00:07:41,370 --> 00:07:44,790
+اقول ان ال energy initial بتساوي ال energy final و
+
+107
+00:07:44,790 --> 00:07:47,910
+كيف احل عليها مجموعة من المسائل و بتمنى لكم
+
+108
+00:07:47,910 --> 00:07:55,310
+التوفيق في ال quiz القادمأو و كمان بس أقول بالنسبة
+
+109
+00:07:55,310 --> 00:07:57,710
+لل homework حاولوا قد الإمكان تحلوا ال homework
+
+110
+00:07:57,710 --> 00:08:03,410
+لحالكوا أهم حاجة تحل ال homework تحاول فيه لحالك و
+
+111
+00:08:03,410 --> 00:08:08,190
+تعطيني حتى أشوف ال feedback عنك و إذا مش الهدف إنك
+
+112
+00:08:08,190 --> 00:08:14,370
+تسلملي إياه محلول و نقل لأ حاول قد الإمكان إنك تحل
+
+113
+00:08:14,370 --> 00:08:20,490
+بيه يعطيكوا العافية و ربنا هيوفقكوا في الامتحان و
+
+114
+00:08:20,490 --> 00:08:21,910
+في حياتكم يعني يعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/aznpz_kO4NA_raw.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/aznpz_kO4NA_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..8ca4e525509dab290b3f03cef09bbf1778cc7766
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/aznpz_kO4NA_raw.srt
@@ -0,0 +1,456 @@
+1
+00:00:05,150 --> 00:00:08,130
+يعطيك العفو من ال chapter اليوم ان شاء الله اللي
+
+2
+00:00:08,130 --> 00:00:10,650
+هو اخر جزئية كانت عندى متبقية في هذا ال chapter
+
+3
+00:00:10,650 --> 00:00:14,790
+اللى هى ال power بس قبل ما نكملها بدنا نراجع
+
+4
+00:00:14,790 --> 00:00:18,270
+مراجعة بسيطة عن ال work kinetic energy theorem مهم
+
+5
+00:00:18,270 --> 00:00:21,930
+جدا ال work kinetic energy theorem ال work kinetic
+
+6
+00:00:21,930 --> 00:00:27,230
+energy theorem قولنا ان ال work نت بقدر اجيبه
+
+7
+00:00:27,230 --> 00:00:31,670
+طريقتينيا بيساوي ال work من الف الأولى زاد ال work
+
+8
+00:00:31,670 --> 00:00:34,730
+من الف التانية زاد زاد زاد او ال work net بيساوي
+
+9
+00:00:34,730 --> 00:00:39,790
+ال K final ناقص ال K initial وهذا بيساوي نص M V
+
+10
+00:00:39,790 --> 00:00:45,550
+final تربيع ناقص نص M V initial تربيع قلت ال work
+
+11
+00:00:45,550 --> 00:00:49,670
+net لو انا حسبته و طلعت قيمته بالجول طبعا ماعلي
+
+12
+00:00:49,670 --> 00:00:53,710
+الا اعوض عن ال work netفي الـ K final نقص K
+
+13
+00:00:53,710 --> 00:00:55,830
+initial و اوجد السرعة النهائية او السرعة
+
+14
+00:00:55,830 --> 00:00:58,010
+الابتدائية ايش باعطيني يعني الجسم بدأ من السكون
+
+15
+00:00:58,010 --> 00:01:01,410
+مباشرة و بقول V initial بساوة Zero و بضل ال V
+
+16
+00:01:01,410 --> 00:01:04,310
+final و work net عرفته بقدر اطلع السرعة النهائية
+
+17
+00:01:04,310 --> 00:01:08,610
+اللي بتحرك فيها الجسم ممكن أخدنا مثال على هذا
+
+18
+00:01:08,610 --> 00:01:13,470
+الكلام و حسبنا اللي هو المثال هذا و طلعنا السرعة
+
+19
+00:01:13,470 --> 00:01:17,230
+المثال هذا و المثال التاني و طلعنا السرعة مش
+
+20
+00:01:17,230 --> 00:01:22,230
+السرعة النهائية ال Kالنهائية الـ kinetic energy
+
+21
+00:01:22,230 --> 00:01:24,750
+النهائية من الـ kinetic energy النهائية لو قال
+
+22
+00:01:24,750 --> 00:01:27,650
+يحسب السرعة بيقول ال kinetic energy بالساعة نص ان
+
+23
+00:01:27,650 --> 00:01:31,950
+V final تربيع بطل ال V final اليوم بتتكلم مع حاجة
+
+24
+00:01:31,950 --> 00:01:35,270
+اسمها ال power ال power مرتبطة ارتباط وثيق بمين
+
+25
+00:01:35,270 --> 00:01:40,090
+بالشغل ال power اذا ال power كان الشغل اللي انا
+
+26
+00:01:40,090 --> 00:01:45,070
+ببدله خلال فترة زمنية بسيطة يكون power كبيرةزمن،
+
+27
+00:01:45,070 --> 00:01:50,150
+لكن إذا أنا ببدأ الشغل في فترة زمنية كبيرة، يعني
+
+28
+00:01:50,150 --> 00:01:54,350
+قاعد بشتغل إيش، عامة، مافيش power، إذا ال power هي
+
+29
+00:01:54,350 --> 00:02:00,510
+عبارة عن إيش؟ عن الشغل أو التغير في الشغل بالنسبة
+
+30
+00:02:00,510 --> 00:02:07,490
+لمن؟ للزمن، إذاتغير في الشغل على الزمن كده البوار
+
+31
+00:02:07,490 --> 00:02:15,290
+عندي تعريفها ال rate in the work بالنسبة للزمن أو
+
+32
+00:02:15,290 --> 00:02:19,070
+هو الشغل المبذول في زمن معين يعني الشغل كل ما قل
+
+33
+00:02:19,070 --> 00:02:23,170
+الزمن كل ما زادت البوار ذاكرين في حاجة هذا average
+
+34
+00:02:23,170 --> 00:02:27,070
+بوار تعريف ال average بوار تغير في الشغل لأن الشغل
+
+35
+00:02:27,070 --> 00:02:30,430
+ممكن يكون في لحظة في عندي شغل أكثر وشغل أقل انا
+
+36
+00:02:30,430 --> 00:02:36,110
+باخد ال average لكن لو بدي instantaneous بوارلحظة
+
+37
+00:02:36,110 --> 00:02:39,090
+الـ power اللحظية ايش بده اجيب بده اجلل ال
+
+38
+00:02:39,090 --> 00:02:41,590
+interval زي مثلا احنا ذاكرين في السرعة السرعة
+
+39
+00:02:41,590 --> 00:02:45,490
+اللحظية والتسارق اللحظي ايش عملت في السرعة في
+
+40
+00:02:45,490 --> 00:02:48,210
+الزمن الفترة الزمنية ماعالها صارت تقل لل zero اذا
+
+41
+00:02:48,210 --> 00:02:51,270
+هو ال derivative ال derivative لمين لل worth
+
+42
+00:02:51,270 --> 00:02:56,510
+بالنسبة للزمن اذا كانت هذه حالة خاصة بقول اذا كانت
+
+43
+00:02:56,510 --> 00:03:07,030
+ال F constant DW متساوة F dot DSالشغل المبذول لما
+
+44
+00:03:07,030 --> 00:03:11,770
+تكون ال F constant في هذا الحالة عوض عن ال DW FDS
+
+45
+00:03:11,770 --> 00:03:18,350
+على DT هذا التعريف منين؟ السرعة فبقدر أقول FV فعند
+
+46
+00:03:18,350 --> 00:03:22,410
+ال instant inverse لها علاقة بال force ولها علاقة
+
+47
+00:03:22,410 --> 00:03:27,820
+بالسرعة مبتساوة حاصل ضربمتجهين ال force في متجهها
+
+48
+00:03:27,820 --> 00:03:32,220
+القوة في متجهها السرعة ومتجهها القوة ومتجهها
+
+49
+00:03:32,220 --> 00:03:35,120
+السرعة بيعطينا كمية قياسية اللي هي ال power و
+
+50
+00:03:35,120 --> 00:03:37,680
+instantaneous power ال unit تبعت ال instantaneous
+
+51
+00:03:37,680 --> 00:03:41,280
+power من هذه العلاقة او من هذه العلاقة ايش
+
+52
+00:03:41,280 --> 00:03:47,070
+بالساوية جولة على secondأو بتساوي واط برمزولها و
+
+53
+00:03:47,070 --> 00:03:51,930
+واط بيساوي واحد جول على واحد second وممكن من هذه
+
+54
+00:03:51,930 --> 00:03:56,130
+العلاقة النيوتن و هذا ال V متر على second أطلع
+
+55
+00:03:56,130 --> 00:04:00,590
+واحد ايش تاني عبارة عن نيوتن في متر على second أو
+
+56
+00:04:00,590 --> 00:04:04,670
+لنيوتن أرجع العصر و كيلو جرام في متر على second
+
+57
+00:04:04,670 --> 00:04:09,490
+square بيصير كيلو جرام في متر square على second
+
+58
+00:04:09,490 --> 00:04:15,860
+cubicناخد مثال الأخير في هذا الشبطة بيقول عند
+
+59
+00:04:15,860 --> 00:04:20,860
+سيارة كتلتها 1500 كيلو جرام Accelerated uniform
+
+60
+00:04:20,860 --> 00:04:29,940
+تتحرك from rest تسارع ثابت او uniform from
+
+61
+00:04:29,940 --> 00:04:33,600
+rest تجدش عشرة متر في الثانوية في تلاتة ثانوية
+
+62
+00:04:33,600 --> 00:04:38,890
+find ال work done بدي أحسب ال work doneهذه الفترة
+
+63
+00:04:38,890 --> 00:04:41,650
+ال work done ايش بيساوي او ال work net بتتغير في
+
+64
+00:04:41,650 --> 00:04:43,770
+الكاينة تقنياتي عند السرعة البداية و السرعة
+
+65
+00:04:43,770 --> 00:04:48,550
+النهائية بيساوي نص M V final square المثل نص ناقص
+
+66
+00:04:48,550 --> 00:04:52,770
+نص M V initial V initial بدأ من وين V initial
+
+67
+00:04:52,770 --> 00:04:59,510
+بيساوي زيرو V final بتساوي عشرة بنطبق وبطلع البقى
+
+68
+00:04:59,510 --> 00:05:03,260
+ال work netالمطمئنب التاني هو الـ Average Power
+
+69
+00:05:03,260 --> 00:05:07,020
+الـ Average Power ايش هو؟ اخدناها لتغير في الـ W
+
+70
+00:05:07,020 --> 00:05:10,840
+بالنسبة للتغير في الزمن التغير في الـ W هينطلعته
+
+71
+00:05:10,840 --> 00:05:14,360
+على الزمن جالس الـ Interval للزمن جداش قيمته تلاتة
+
+72
+00:05:14,360 --> 00:05:18,920
+Second بطلع قيمته وحدة قياسه بالوط أو بالجول على
+
+73
+00:05:18,920 --> 00:05:23,580
+السكن Instantaneous Power بدي احسب Instantaneous
+
+74
+00:05:23,580 --> 00:05:27,500
+Power انت بسوا تلاتة انت بسوا تلاتة ايش بالزمن
+
+75
+00:05:27,500 --> 00:05:36,280
+ايه؟ Fفى V او اطلع ايش ال F هي عبارة عن M فى A F
+
+76
+00:05:36,280 --> 00:05:40,520
+ضد ال V مش هيك تعريف ال power و ال F بسوء M فى A
+
+77
+00:05:40,520 --> 00:05:43,420
+ده طلع ال acceleration من أي معادل عند السرعة
+
+78
+00:05:43,420 --> 00:05:47,180
+الابتدائية Zero سرعة نهاية و الزمن معادل رقم واحد
+
+79
+00:05:47,180 --> 00:05:52,960
+V final بسوء V initial زائد A فى T منها ال A بسوء
+
+80
+00:05:52,960 --> 00:05:59,980
+V final ناقص V initial على TV نفس V not على T بطلع
+
+81
+00:05:59,980 --> 00:06:02,560
+ال acceleration بعد ما طلع ال acceleration بضربها
+
+82
+00:06:02,560 --> 00:06:07,040
+في الكتلة وبعد ما ضربها في الكتلة بطلع قيمة ال V
+
+83
+00:06:07,040 --> 00:06:12,420
+وهكذا بكون طلعت ال powerاللحظية هذا بيكون ان شبتر
+
+84
+00:06:12,420 --> 00:06:18,160
+ستة اكتمل اذا شبتر ستة بقدر الخصه في نقطة اربع
+
+85
+00:06:18,160 --> 00:06:21,140
+نقاط اول حاجة اتكلمت عن ال word و قلت ال word ممكن
+
+86
+00:06:21,140 --> 00:06:24,460
+يكون موجب و ممكن يكون سالب و ممكن يكون zero و ارفد
+
+87
+00:06:24,460 --> 00:06:27,480
+كيف انا بقدر اطلع و اكتش يكون موجب و اكتش يكون
+
+88
+00:06:27,480 --> 00:06:30,360
+سالب و اكتش يكون عنده قيمته zero و اكتش يكون
+
+89
+00:06:30,360 --> 00:06:33,700
+maximum maximum إذا كانت الإزاحة بنفس اتجاه القوة
+
+90
+00:06:33,700 --> 00:06:38,570
+و هي فعليا القوة المؤثرة و هي عاملة الإزاحةبنفس
+
+91
+00:06:38,570 --> 00:06:42,550
+الاتجاه رقم اتنين اخدت اللي هو القوة المتغيرة
+
+92
+00:06:42,550 --> 00:06:45,970
+والقوة المتغيرة اخدت مثال عليها الزنبرة قلت زنبرة
+
+93
+00:06:45,970 --> 00:06:51,730
+مثال على ال work لقوة متغيرة لأنه انا بغير الإزاحة
+
+94
+00:06:51,730 --> 00:06:55,870
+بتغير قيمة القوة فلذلك حسبت ال work وقلت لازم ادخل
+
+95
+00:06:55,870 --> 00:06:59,410
+التكامل وطلع قيمته بعتمد على نقطة البداية ونقطة
+
+96
+00:06:59,410 --> 00:07:03,350
+النهاية نص Kx initial square ناقص نص Kx final
+
+97
+00:07:03,350 --> 00:07:08,900
+square بعد هيك اخدت اللي هوحسبنا الكائنات ال
+
+98
+00:07:08,900 --> 00:07:12,960
+energy و علاقتها بال work و طلعنا قانون و من خلال
+
+99
+00:07:12,960 --> 00:07:15,200
+قطة القانون انا بقدر او اجهزة سرعة ابتدائية او
+
+100
+00:07:15,200 --> 00:07:19,120
+سرعة نهائية و اخر حاجة اتكلمت عن ال power و علابته
+
+101
+00:07:19,120 --> 00:07:23,060
+بالشغل الشبط اللي جاي ان شاء الله بيكون عبارة عن
+
+102
+00:07:23,060 --> 00:07:27,570
+ال energyو التغيير في ال energy طبعا امر عليكم ان
+
+103
+00:07:27,570 --> 00:07:31,590
+ال energy ما لها قبل بتساوي ال energy بعد او
+
+104
+00:07:31,590 --> 00:07:35,530
+الطاقة لا تفنى ولا تستحدث من العدم هذا المحاضرة
+
+105
+00:07:35,530 --> 00:07:41,370
+الجاية ان شاء الله بنبدأ فيه و بنوضحلكم كيف ان
+
+106
+00:07:41,370 --> 00:07:44,790
+اقول ان ال energy initial بتساوي ال energy final و
+
+107
+00:07:44,790 --> 00:07:47,910
+كيف احل عليها مجموعة من المسائل و بتمنى لكم
+
+108
+00:07:47,910 --> 00:07:55,310
+التوفيق في ال quiz القادمأو و كمان بس أقول بالنسبة
+
+109
+00:07:55,310 --> 00:07:57,710
+لل homework حاولوا قد الإمكان تحلوا ال homework
+
+110
+00:07:57,710 --> 00:08:03,410
+لحالكوا أهم حاجة تحل ال homework تحاول فيه لحالك و
+
+111
+00:08:03,410 --> 00:08:08,190
+تعطيني حتى أشوف ال feedback عنك و إذا مش الهدف إنك
+
+112
+00:08:08,190 --> 00:08:14,370
+تسلملي إياه محلول و نقل لأ حاول قد الإمكان إنك تحل
+
+113
+00:08:14,370 --> 00:08:20,490
+بيه يعطيكوا العافية و ربنا هيوفقكوا في الامتحان و
+
+114
+00:08:20,490 --> 00:08:21,910
+في حياتكم يعني يعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/b-XRT5rjq2o.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/b-XRT5rjq2o.srt
new file mode 100644
index 0000000000000000000000000000000000000000..02b2641bef753b5b1abc854711282c4697386524
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/b-XRT5rjq2o.srt
@@ -0,0 +1,858 @@
+1
+00:00:05,090 --> 00:00:08,030
+السلام عليكم وعطيكم العافية، وربنا يحفظكم إن شاء الله
+
+2
+00:00:08,030 --> 00:00:13,870
+الله إن شاء الله، اليوم بنكمل في chapter ثلاثة
+
+3
+00:00:13,870 --> 00:00:18,550
+كملنا chapter ثلاثة، نفس الموضوع اللي هو بنتكلم
+
+4
+00:00:18,550 --> 00:00:23,470
+عن حركة في مستوى، من أنواع الحركة في مستوى، ناخد مثال
+
+5
+00:00:23,470 --> 00:00:30,190
+uniform circular motion، الحركة في مستوى، حركة مالها
+
+6
+00:00:30,190 --> 00:00:37,960
+بهذا الشكل، على شكل circular، الجسم بيتحرك في دائرة
+
+7
+00:00:37,960 --> 00:00:46,320
+على سطح دائرة، بس بسرعة... بسرعة uniform، يعني سرعته
+
+8
+00:00:46,320 --> 00:00:51,620
+بتكون مالها ثابتة، إذا السرعة قيمتها ثابتة، إذا الـ
+
+9
+00:00:51,620 --> 00:00:55,380
+speed... آسف، مش السرعة ثابتة، الـ speed اللي ثابت، الـ
+
+10
+00:00:55,380 --> 00:01:00,320
+speed is constant، لاحظوا قلت السرعة مش ثابتة، الـ
+
+11
+00:01:00,320 --> 00:01:05,620
+speed اللي ثابت، لاحظوا السرعة هنا اتجاهها لهذا الجسم
+
+12
+00:01:05,620 --> 00:01:12,080
+إلى أعلى، مماس للـ x أو للـ displacement، إذًا هذا الـ V
+
+13
+00:01:12,080 --> 00:01:17,360
+بهذا الشكل، هنا عنده مماس، هنا مماس عند هذه النقطة
+
+14
+00:01:17,360 --> 00:01:22,400
+اتجاهها بهذا الشكل، إذًا إيش اللي بيتغير عنده الـ
+
+15
+00:01:22,400 --> 00:01:29,530
+speed ثابتة، لكن اتجاه السرعة بيتغير، مازال اتجاه
+
+16
+00:01:29,530 --> 00:01:34,190
+السرعة بيتغير، يعني السرعة بتتغير، لما تتغير السرعة
+
+17
+00:01:34,190 --> 00:01:38,270
+تتغير في السرعة خلال زمان، إيش بيعطيني؟ acceleration
+
+18
+00:01:38,270 --> 00:01:42,490
+إذًا في عندي acceleration، الـ acceleration هذه
+
+19
+00:01:42,490 --> 00:01:46,370
+بسميها centripetal acceleration، وليه سميتها
+
+20
+00:01:46,370 --> 00:01:51,660
+centripetal؟ لإنه اتجاهها... لاحظوا اتجاهها لوين؟
+
+21
+00:01:51,660 --> 00:01:55,240
+اتجاه المركز، والأصل الجسم يظل ماشي عادي كأنه في
+
+22
+00:01:55,240 --> 00:02:00,120
+حاجة acceleration بتسرع الجسم أو بتأثر على الجسم
+
+23
+00:02:00,120 --> 00:02:07,680
+في اتجاه لوين؟ في اتجاه المركز، قداش قيمتها؟ V تربيع
+
+24
+00:02:07,680 --> 00:02:11,340
+على R، طبعًا في الكتاب إليه إثبات، نحن هناخدها في
+
+25
+00:02:11,340 --> 00:02:15,460
+chapter خمسة بالتفصيل، لكن الآن عشان نتكلم على مستوى
+
+26
+00:02:15,460 --> 00:02:20,080
+الحركة في المستوى، لازم ننوّه إن الحركة في المستوى
+
+27
+00:02:20,080 --> 00:02:26,020
+ممكن تكون حركة circular motion، إذًا الـ A = V تربيع
+
+28
+00:02:26,020 --> 00:02:31,790
+على R، نتيجة تغير في مين؟ في السرعة، وبالأخرى تغيير
+
+29
+00:02:31,790 --> 00:02:35,470
+في اتجاه السرعة، بنشأ عندي centripetal acceleration
+
+30
+00:02:35,470 --> 00:02:40,370
+إذًا تغير في اتجاه السرعة، التغير في الـ direction
+
+31
+00:02:40,370 --> 00:02:45,370
+للسرعة أدى لوجود مين؟ circular centripetal
+
+32
+00:02:45,370 --> 00:02:48,890
+acceleration، ناخد مثال على الكلام، مثال مباشر على
+
+33
+00:02:48,890 --> 00:02:55,430
+الكلام، بيقول عند القمر... هو القمر اللي افترضنا مع أنه
+
+34
+00:02:55,430 --> 00:03:04,490
+بيدور في مسار دائري... في مسار دائرة، بدي أحسب اللي هو
+
+35
+00:03:04,490 --> 00:03:09,270
+الزمن أو السرعة، قداش السرعة اللي بيتحرك فيها
+
+36
+00:03:09,270 --> 00:03:12,430
+حول الأرض، الـ centripetal acceleration قداش
+
+37
+00:03:12,430 --> 00:03:18,110
+كمتر، أول حاجة في عندي الـ orbit، الـ orbit هي قيمة
+
+38
+00:03:18,110 --> 00:03:22,010
+الـ orbit اللي بيتحرك فيها القمر وبيعمل one
+
+39
+00:03:22,010 --> 00:03:32,990
+revolution خلال 27.3 days، find acceleration للقمر
+
+40
+00:03:32,990 --> 00:03:36,690
+اللي باتجاه الأرض، يعني الـ center بتاع الـ
+
+41
+00:03:36,690 --> 00:03:42,770
+acceleration، أول حاجة الـ time = 27 day point 3 × 24
+
+42
+00:03:42,770 --> 00:03:50,130
+hour × 60 × 60، ليش 60 × 60؟ لتحويلها لـ
+
+43
+00:03:50,130 --> 00:03:58,400
+second، إذا حولناها لـ second، الـ speed للقمر
+
+44
+00:03:58,400 --> 00:04:05,940
+إيش بيساوي؟ مسار دائري، 2πR اللي هو المحيط كله
+
+45
+00:04:05,940 --> 00:04:11,600
+على إيش؟ المسافة الكلية على الزمن، المسافة الكلية 2
+
+46
+00:04:11,600 --> 00:04:18,720
+πR على T، 2π، والـ R هيها، بس بدي أضرب في مين؟ في
+
+47
+00:04:18,720 --> 00:04:23,470
+كمان الـ 1000، ليش ضربت في الـ 1000؟  لـ تحويلها
+
+48
+00:04:23,470 --> 00:04:27,390
+لـ متر، 3.85 × 10⁸
+
+49
+00:04:27,390 --> 00:04:30,110
+بدل ما كانت 5 صارت 8 لإنه انضربت في 10
+
+50
+00:04:30,110 --> 00:04:34,670
+³، تحويل على الزمن كده، طول الـ time الزمن هي
+
+51
+00:04:34,670 --> 00:04:39,110
+قيمة الزمن، بيطلع سرعتها، هذا الـ speed اللي بيتحرك
+
+52
+00:04:39,110 --> 00:04:43,400
+فيه الـ moon حوالين الأرض، هي قيمته، الآن الـ
+
+53
+00:04:43,400 --> 00:04:47,580
+centripetal acceleration = V² على R، الـ V معطى، الـ R
+
+54
+00:04:47,580 --> 00:04:51,180
+والـ R أعطانيها، بقدر أحسب الـ centripetal
+
+55
+00:04:51,180 --> 00:04:57,400
+acceleration بالمتر per second square، نيجي لآخر
+
+56
+00:04:57,400 --> 00:05:01,620
+موضوع هنا، موضوع سهل، relative motion، الحركة النسبية
+
+57
+00:05:01,620 --> 00:05:07,400
+الحركة النسبية، الحركة النسبية عبارة عن حركة جسم
+
+58
+00:05:07,400 --> 00:05:13,820
+بالنسبة لمين؟ لآخر، أنا لو قلت في عندي الآن frame
+
+59
+00:05:13,820 --> 00:05:23,680
+الأرض، في عندي جسم بيتحرك، بيتحرك بسرعة ثابتة، بيتحرك
+
+60
+00:05:23,680 --> 00:05:27,560
+بسرعة ثابتة، إذًا أول frame عندي بيتحرك بـ constant
+
+61
+00:05:27,560 --> 00:05:34,060
+velocity، وليكن اسمه M، يعني
+
+62
+00:05:34,060 --> 00:05:36,980
+بمعنى آخر، السرعة ثابتة، السرعة في سيارتين بيتحركوا
+
+63
+00:05:36,980 --> 00:05:41,080
+بالنسبة لبعض، هذه السيارة الأولى، هذه سيارة A، وهذه
+
+64
+00:05:41,080 --> 00:05:47,500
+سيارة B
+
+65
+00:05:57,460 --> 00:06:02,060
+أنت هنا بتراقب سرعتك، بتقيس سرعتك، الأولاني سرعتك
+
+66
+00:06:02,060 --> 00:06:06,300
+عشرة متر كمثال، عشرة متر per second، سرعة الجسم
+
+67
+00:06:06,300 --> 00:06:11,180
+الثاني عشرين متر per second، أنت بتقيسهم كأن في
+
+68
+00:06:11,180 --> 00:06:15,140
+رادار، رادار هنا وبيقيس سرعة الجسم الأول وبيقيس
+
+69
+00:06:15,140 --> 00:06:19,620
+سرعة الجسم الثاني، السرعة بالنسبة لمين؟ لحاجة ثابتة
+
+70
+00:06:19,620 --> 00:06:23,740
+بالنسبة للرادار، لكن الاتنين بيشوفوا بعض بسرعة
+
+71
+00:06:23,740 --> 00:06:26,860
+مختلفة، يعني لو A شاف B
+
+72
+00:06:33,760 --> 00:06:41,970
+مش عشرين، عشرة متر، A بيشوف B بسرعة ما بيشوفش
+
+73
+00:06:41,970 --> 00:06:48,030
+العشرين، بيشوف بسرعة قيمتها عشرة متر per second، طيب
+
+74
+00:06:48,030 --> 00:06:56,330
+بيشوف A، بيسافر بينهم، بيبعد، بيشوف A بسرعة قيمتها
+
+75
+00:06:56,330 --> 00:07:00,970
+مختلفة عن العشرة، ممكن تكون سالب عشرة، سالب عشرة
+
+76
+00:07:00,970 --> 00:07:04,290
+كانوا بيبعدوا عنه، كانوا بيتحركوا، ليش؟ طب لو اتنين
+
+77
+00:07:04,290 --> 00:07:10,810
+كانوا بيتحركوا بنفس السرعة، بيشوفوا بعض، هذا بيشوفه
+
+78
+00:07:10,810 --> 00:07:16,450
+بعشرين، بيشوف A بيشوف B بزيرو، وB بيشوف A بزيرو، لإنه
+
+79
+00:07:16,450 --> 00:07:21,250
+ما فيش فارق في ال displacement بينهم، لكن اللي هنا الـ
+
+80
+00:07:21,250 --> 00:07:25,070
+radar بيشوف هذا بيتحرك بالعشرين، وهذا بيتحرك بالعشرين
+
+81
+00:07:25,070 --> 00:07:30,920
+إذًا دائمًا سرعة النسبية، سرعة الجسم الأول بالنسبة
+
+82
+00:07:30,920 --> 00:07:35,120
+للثاني أو العكس، الثاني بالنسبة لمين؟ للأول، أنا في
+
+83
+00:07:35,120 --> 00:07:40,080
+عندي جسم بيتحرك، وفي جسم نقطة هنا بتتحرك، تاني هذه
+
+84
+00:07:40,080 --> 00:07:44,420
+سيارة تانية، سيارة أولى وسيارة تانية، السيارة
+
+85
+00:07:44,420 --> 00:07:50,440
+الأولى بتبعت بإزاحة، هذه الإزاحة بالنسبة لمين؟ للأرض
+
+86
+00:07:50,440 --> 00:07:54,160
+للـ frame الأولاني، R<sub>M</sub>
+
+87
+00:07:56,140 --> 00:08:01,120
+بالنسبة لمين؟ للأرض، إذًا أحد الجسم الأولاني طبعًا هو
+
+88
+00:08:01,120 --> 00:08:07,200
+بيتحرك بسرعة، وهذا الـ V مالها؟ V للـ M constant، الـ R
+
+89
+00:08:07,200 --> 00:08:11,740
+هذه قيمتها بيساوي V<sub>M</sub> × إيش؟ × T، الآن الجسم
+
+90
+00:08:11,740 --> 00:08:18,400
+الثاني هنا، أنت برضه بتحرك بالنسبة للأرض، يعني كأنه
+
+91
+00:08:18,400 --> 00:08:21,860
+رادار شايفه وبيتحرك، أو إذا أحد بيتغير أو موضعه
+
+92
+00:08:21,860 --> 00:08:28,170
+بيتغير، النقطة يجب أن تكون بالنسبة لمين؟ للأول
+
+93
+00:08:28,170 --> 00:08:34,650
+طيب الاتنين هدول بيشوفوا بعض، إذًا بقدر أقول هذا
+
+94
+00:08:34,650 --> 00:08:40,330
+الجسم بالنسبة للـ M،
+
+95
+00:08:40,330 --> 00:08:45,570
+B بالنسبة للآخر، يعني الـ M بيشوف بين الـ B، يعني
+
+96
+00:08:45,570 --> 00:08:50,870
+الإزاحة الـ B بالنسبة للـ M، إذًا عندي أول حاجة جسمين
+
+97
+00:08:50,870 --> 00:08:57,510
+متحركين، frame متحرك وجسم متحرك بالنسبة للـ frame
+
+98
+00:08:57,510 --> 00:09:02,550
+الثابت، والـ frame المتحرك، الـ frame الثابت أو الـ
+
+99
+00:09:02,550 --> 00:09:06,310
+radar الثابت أو أي حاجة ثابتة بتشوف الجسمين متحركة
+
+100
+00:09:06,310 --> 00:09:11,290
+هذا بيتحرك بسرعة ثابتة، constant، في إزاحة بيصير
+
+101
+00:09:11,290 --> 00:09:17,890
+الإزاحة قيمتها R<sub>M</sub> بالنسبة لمين؟ للأرض، هنا الجسم
+
+102
+00:09:17,890 --> 00:09:22,810
+الثاني بيتحرك، نقطة الـ origin هنا أو الـ E شايف
+
+103
+00:09:22,810 --> 00:09:27,470
+النقطة B إلها إزاحة أو متجه، موضعه قيمته R<sub>B</sub>
+
+104
+00:09:27,470 --> 00:09:35,910
+بالنسبة للأرض، الآن الـ M بيشوف إيش؟ بيشوف الـ B بيتحرك
+
+105
+00:09:35,910 --> 00:09:41,690
+إزاحة لها قيمتها R<sub>B</sub>، إيش؟ متجهات، أنا بتعامل مع
+
+106
+00:09:41,690 --> 00:09:46,290
+متجهات، هذا المتجه زائد هذا المتجه بيساوي إغلاق
+
+107
+00:09:46,290 --> 00:09:52,590
+المُحصلة، إذًا بيطلع عندي R<sub>PE</sub> اللي هو إغلاق المُحصلة
+
+108
+00:09:52,590 --> 00:10:01,730
+بيساوي R<sub>ME</sub> زائد R<sub>PM</sub>، لو عملنا derivative للمعادلة
+
+109
+00:10:01,730 --> 00:10:05,450
+اللي فوق، مشتقة الإزاحة هي السرعة، أشتقها بالنسبة
+
+110
+00:10:05,450 --> 00:10:13,110
+للـ time بيعطيني V<sub>B</sub>، سرعة جسم الـ B بالنسبة للأرض
+
+111
+00:10:13,110 --> 00:10:17,430
+بعدين اشتقاق هذا الـ derivative بيطلع سرعة الـ B بالنسبة
+
+112
+00:10:17,430 --> 00:10:22,890
+للـ frame المتحرك، بعدين هذا V<sub>M</sub> بالنسبة لمين؟ للأرض
+
+113
+00:10:22,890 --> 00:10:31,780
+لإن أنا اشتقيتها كمان مرة، هذا بيتحرك بسرعته
+
+114
+00:10:31,780 --> 00:10:36,040
+ثابتة بالنسبة للأرض، مشتقته قداش؟ صفر، إذًا
+
+115
+00:10:36,040 --> 00:10:39,460
+بنطلع الـ acceleration للـ B،  الـ acceleration
+
+116
+00:10:39,460 --> 00:10:45,030
+للـ BE، إذًا هذه المعادلة مُعادلة نسبية اللي
+
+117
+00:10:45,030 --> 00:10:48,510
+بتكلم عنها، يعني بدي أشوف سرعة الجسم الأول بالنسبة
+
+118
+00:10:48,510 --> 00:10:52,830
+للأرض، سرعة الجسم الثاني بالنسبة للأرض، سرعة الجسم
+
+119
+00:10:52,830 --> 00:10:55,750
+الأول بالنسبة للثاني أو العكس، سرعة الثاني بالنسبة
+
+120
+00:10:55,750 --> 00:10:59,810
+لمين؟ للجسم الأول، مين المتحرك بالنسبة للثاني، وزي ما
+
+121
+00:10:59,810 --> 00:11:04,220
+قلنا المثال الأول عن اللي هنا، نفس الطريقة، سيارة
+
+122
+00:11:04,220 --> 00:11:12,340
+بتتحرك بسرعة أولى V<sub>A</sub>، ثانية V<sub>P</sub>، هذه السرعة رأيتها R<sub>A</sub>
+
+123
+00:11:12,340 --> 00:11:18,720
+V<sub>A</sub> لها من خلال اشتقاقها، وهذه بتتحرك بسرعة ثانية R<sub>B</sub>
+
+124
+00:11:18,720 --> 00:11:24,200
+من خلال اشتقاقها، الآن مين اللي بيشوف؟ يا بُحط المتجه
+
+125
+00:11:24,200 --> 00:11:28,700
+زي هيك، A بيشوف الـ B أو العكس، بُحط المتجه زي هيك،
+
+126
+00:11:28,700 --> 00:11:32,560
+B بيشوف A، اللي يعني A بيشوف B هي السرعة النسبية
+
+127
+00:11:32,560 --> 00:11:36,320
+بينهم، B بيشوف A هي السرعة النسبية بينهم بس بالعكس
+
+128
+00:11:36,320 --> 00:11:40,000
+مين اللي بيشوف A، الثاني، نيجي ناخد مثال على الـ
+
+129
+00:11:40,000 --> 00:11:43,720
+relative motion، على الـ relative motion، ناخد الـ
+
+130
+00:11:43,720 --> 00:11:49,360
+example ثلاثة، ستة، بيقول فيه قارب، فيه قارب
+
+131
+00:11:49,360 --> 00:11:58,540
+بده يعبر النهر، cross river، النهر عرضه 1500 متر
+
+132
+00:12:13,790 --> 00:12:19,210
+إذا الماء ساكن، مباشرة بيتحرك لاتجاه نقطة A، وهذه
+
+133
+00:12:19,210 --> 00:12:23,430
+نقطة B اللي عَجباه تمامًا، وبيعبر النقطة B بدون أي
+
+134
+00:12:23,430 --> 00:12:27,510
+مشاكل، بسرعة مالها؟ بالسرعة اللي بيتحرك فيها اللي
+
+135
+00:12:27,510 --> 00:12:31,450
+هي 500 متر per second، لكن لو في تيار، هو بيقول لي في
+
+136
+00:12:31,450 --> 00:12:36,970
+تيار للمياه، اتجاهه لوين؟ للشمال، وسرعته الـ speed له
+
+137
+00:12:36,970 --> 00:12:41,870
+واحد ونصف متر per second، إذًا هنا في تيار، أنت واقف
+
+138
+00:12:41,870 --> 00:12:46,730
+على الشط، بتشوف هذا التيار في الـ water بالنسبة
+
+139
+00:12:46,730 --> 00:12:51,550
+للأرض، أنت واقف على الشط هنا وبتشوف إنه في تيار
+
+140
+00:12:51,550 --> 00:12:56,230
+اتجاهه لأعلى وقيمته واحد ونصف متر per second
+
+141
+00:12:56,230 --> 00:13:02,530
+اتجاهه للشمال، في اتجاه الـ y أو اتجاه الـ
+
+142
+00:13:02,530 --> 00:13:08,170
+North، الآن بيقول سرعة القارب خمسة متر relative to
+
+143
+00:13:08,170 --> 00:13:14,910
+water، طيب هو الآن، أنت نقل بده ينتقل من هذه النقطة
+
+144
+00:13:14,910 --> 00:13:22,230
+يتحرك زي هيك، سرعة القارب بالنسبة للمياه كانت خمسة
+
+145
+00:13:22,230 --> 00:13:28,330
+متر per second، الآن أنت لما تشوفه على الشط هنا
+
+146
+00:13:28,330 --> 00:13:33,760
+واقف على الضفة، إيش هتلاقي؟ هتلاقي القارب بيتحرك زي
+
+147
+00:13:33,760 --> 00:13:39,320
+هيك بالزاوية، لما يصل لنقطة ما هنا،
+
+148
+00:13:39,320 --> 00:13:45,000
+إذًا أنت هتشوف القارب بالنسبة
+
+149
+00:13:45,000 --> 00:13:50,480
+لك، بيتحرك بهذا الاتجاه، الآن أول خطوة دائمًا في حل
+
+150
+00:13:50,480 --> 00:13:55,780
+المسألة، بدي أُحدد الأسماء، سرعة القارب بالنسبة للأرض
+
+151
+00:13:55,780 --> 00:14:00,180
+سرعة المياه بالنسبة للأرض، سرعة القارب بالنسبة
+
+152
+00:14:00,180 --> 00:14:04,160
+للمياه، ثلاثة أشياء بُحددهم، بعد ما حددتهم خلاص بُطبق
+
+153
+00:14:04,160 --> 00:14:08,380
+القانون اللي أنا عارفه، أول مثلث بدون قانون، مثلث
+
+154
+00:14:08,380 --> 00:14:13,500
+هاي، المثلث، هاي اتجاه الأولى، وهي الثانية، محصلتهم V<sub>BE</sub>
+
+155
+00:14:13,500 --> 00:14:28,130
+إذًا بقدر أقول V<sub>B</sub> بيتساوي V<sub>BW</sub> زائد V<sub>WE</sub>، V<sub>BW</sub>
+
+156
+00:14:28,130 --> 00:14:35,680
+قيمتها خمسة متر في اتجاه الـ x، زائد V<sub>WE</sub> واحد ونصف
+
+157
+00:14:35,680 --> 00:14:40,820
+اتجاه الـ y، إذًا هادي السرعة كمتجه، طبعًا أنا بتعامل
+
+158
+00:14:40,820 --> 00:14:45,420
+معها، أو بجيب لها مركبة سينية ولها مركبة صادية
+
+159
+00:14:45,420 --> 00:14:50,100
+إذًا هو مش هيتحرك على الحلق، هشوف هو بيتحرك بزاوية
+
+160
+00:14:50,100 --> 00:14:56,540
+بالنسبة له، بالنسبة للي واقف، سرعة قيمتها بيه؟ وهذه
+
+161
+00:14:56,540 --> 00:15:00,640
+هي قيمة السرعة اللي بيتحرك فيها، نشوف المطلوب الثاني
+
+162
+00:15:00,640 --> 00:15:06,120
+find the time، الزمن حتى يعبر هذا النهر، بدي الزمن
+
+163
+00:15:06,120 --> 00:15:09,280
+حتى يعبر هذا النهر، فيه هنا سرعة ثابتة قيمتها
+
+164
+00:15:09,280 --> 00:15:13,280
+خمسة متر per second، وفيه الـ 1500 عرض هذا
+
+165
+00:15:13,280 --> 00:15:20,440
+النهر، بقول الزمن بده يساوي الـ x على السرعة، مش
+
+166
+00:15:20,440 --> 00:15:24,240
+الإزاحة بيساوي السرعة × الزمن، الـ x قيمتها 1500
+
+167
+00:15:24,240 --> 00:15:31,600
+متر على الـ V، الـ V خمسة متر، بيطلع 300 second، إذًا
+
+168
+00:15:
+
+223
+00:20:11,050 --> 00:20:14,790
+الشطر وأقول والله إيش هذا القارب هيصل للنقطة بيه؟
+
+224
+00:20:14,790 --> 00:20:20,900
+تمامًا شايفه مش عدل، لكن هو وجه المقدمة القارب فيه
+
+225
+00:20:20,900 --> 00:20:24,780
+زاوية مقدارها ثيتا، الطيار ما بعيش بيعمل فيه بيزجه
+
+226
+00:20:24,780 --> 00:20:29,940
+وأنا شايفه ما ماشي كله ماشي عدل، إذا أنا شايف
+
+227
+00:20:29,940 --> 00:20:34,820
+القارب حيصل لنقطة مالها المناظرة، إذا أنا واقف هنا
+
+228
+00:20:34,820 --> 00:20:41,120
+بقول القارب بيتحرك بهذا الاتجاه، إذا هذا سرعة القارب
+
+229
+00:20:41,120 --> 00:20:46,600
+بالنسبة لي؟ و شايف سرعة الماء بالنسبة لي قيمتها
+
+230
+00:20:46,600 --> 00:20:50,740
+واحد ونصف، واتجاهها في اتجاه الـ West أو اتجاه الـ
+
+231
+00:20:50,740 --> 00:20:54,120
+North متجهات
+
+232
+00:20:54,120 --> 00:21:01,080
+هذا المتجه وهذا المتجه، نجمعهم مع بعض بيطلع محصلته
+
+233
+00:21:01,080 --> 00:21:04,900
+اللي هو إغلاق المضلع، نجمع المتجهات في الشبطة
+
+234
+00:21:04,900 --> 00:21:12,890
+الأولى، إذن VBE بيساوي VBW زائد VWE هذا متجه
+
+235
+00:21:12,890 --> 00:21:17,850
+متجه متجه، لما أجمع متجهات بجمع المراكبات السينية
+
+236
+00:21:17,850 --> 00:21:22,570
+مع بعض، والمراكبات الصعودية مع بعض، يعني بقدر أقول
+
+237
+00:21:22,570 --> 00:21:31,660
+VBE اللي في اتجاه الـ X بيساوي VBW اللي في اتجاه الـ X
+
+238
+00:21:31,660 --> 00:21:37,340
+زائد VWE اللي في اتجاه الـ X، إذًا هذا كل المركبات
+
+239
+00:21:37,340 --> 00:21:41,600
+اللي في اتجاه الـ X، لما أجمعهم مع بعض بيطلع مركبة
+
+240
+00:21:41,600 --> 00:21:47,740
+للمحصّلة في اتجاه الـ X، وكذلك الـ VBE اللي في اتجاه
+
+241
+00:21:47,740 --> 00:21:57,450
+الـ Y بيساوي VBW اللي في اتجاه الـ Y زائد الـ VWE التي
+
+242
+00:21:57,450 --> 00:22:05,630
+في اتجاه الـ Y، إذًا المراكبات هذه X component و
+
+243
+00:22:05,630 --> 00:22:14,410
+هذه Y component أو Y direction، طيب
+
+244
+00:22:14,410 --> 00:22:19,750
+بعد ما حددتهم VWE، نيجي نشوف الـ X direction، الـ X
+
+245
+00:22:19,750 --> 00:22:21,330
+direction VWE
+
+246
+00:22:23,380 --> 00:22:29,960
+كلها في اتجاه الـ X، في اتجاه الـ Y قيمتها كم؟ هذه
+
+247
+00:22:29,960 --> 00:22:34,560
+المعادلة مباشرة
+
+248
+00:22:34,560 --> 00:22:40,860
+VPE في اتجاه الـ X، VPE اللي أنا بدور عليها
+
+249
+00:22:40,860 --> 00:22:45,220
+في اتجاه الـ X، لكن هنا قيمتها في اتجاه الـ Y صفر
+
+250
+00:22:45,220 --> 00:22:49,760
+كلها في اتجاه الـ X، أنا شايف بتحرك في اتجاه الـ X
+
+251
+00:22:49,760 --> 00:22:57,030
+لذا مالوش مركب في اتجاه الـ Y، بتساوي  VBW في
+
+252
+00:22:57,030 --> 00:23:01,630
+الـ X، VBW
+
+253
+00:23:01,630 --> 00:23:06,890
+اللي مركب في اتجاه الـ X، واللي مركب في اتجاه الـ Y
+
+254
+00:23:06,890 --> 00:23:14,450
+إذًا بقدر أقول هنا خمسة، أو VBW قيمتها في Cos
+
+255
+00:23:14,450 --> 00:23:21,130
+الزاوية، وهنا VBW في Sin الزاوية
+
+256
+00:23:24,440 --> 00:23:30,520
+وهذا VBW عرفنا قيمتها كم؟ خمسة، إذًا ما أقدرش أكتب
+
+257
+00:23:30,520 --> 00:23:37,680
+خمسة Cos الزاوية، وهنا خمسة Sin الزاوية زائد زائد
+
+258
+00:23:37,680 --> 00:23:43,380
+VWEX = 0
+
+259
+00:23:43,380 --> 00:23:46,520
+كلها في اتجاه مين؟ في اتجاه الـ Y، اللي كان في اتجاه
+
+260
+00:23:46,520 --> 00:23:54,380
+الـ X، لأ، هنا VWE واحد ونصف، من هذه العلاقة بقدر أطلع
+
+261
+00:23:54,380 --> 00:24:01,040
+Sin الزاوية بتساوي سالب واحد ونصف، بنحلها على
+
+262
+00:24:01,040 --> 00:24:05,480
+الطرف الثاني على خمسة، بيطلع الزاوية، وبعد ما أطلع
+
+263
+00:24:05,480 --> 00:24:09,540
+الزاوية بعوض عن الزاوية بيطلع الـ VPA، ماشي، بتكملوه
+
+264
+00:24:09,540 --> 00:24:14,550
+وهيك بننهي المحاضرة، ويعطيكم العافية إن شاء الله
+
+265
+00:24:14,550 --> 00:24:18,550
+المحاضرات الجاية بتكون عبارة عن مناقشة للتلات شباتر
+
+266
+00:24:18,550 --> 00:24:21,150
+اللي هو الشطر الأول، والشطر الثاني، والشطر
+
+267
+00:24:21,150 --> 00:24:25,450
+الثالث، حتى نتكلم عن الـ quiz الأول، والـ quiz الأول
+
+268
+00:24:25,450 --> 00:24:28,070
+هو للتلات شباتر، ويعطيكم العافية كمان، والله رب
+
+269
+00:24:28,070 --> 00:24:28,610
+ينعافكم
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/b-XRT5rjq2o_raw.json b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/b-XRT5rjq2o_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..b11fbd80254c4afbc0a4e08d5d6ac337608d2d2e
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/b-XRT5rjq2o_raw.json
@@ -0,0 +1 @@
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"end": 1229.94, "word": " شايف", "probability": 0.9892578125}, {"start": 1229.94, "end": 1231.28, "word": " القارب", "probability": 0.9671223958333334}, {"start": 1231.28, "end": 1231.7, "word": " حيصل", "probability": 0.8670247395833334}, {"start": 1231.7, "end": 1232.16, "word": " لنقطة", "probability": 0.895263671875}, {"start": 1232.16, "end": 1232.58, "word": " مالها", "probability": 0.8948567708333334}, {"start": 1232.58, "end": 1233.8, "word": " المناظرة", "probability": 0.75771484375}, {"start": 1233.8, "end": 1234.0, "word": " اذا", "probability": 0.866943359375}, {"start": 1234.0, "end": 1234.24, "word": " انا", "probability": 0.930419921875}, {"start": 1234.24, "end": 1234.52, "word": " واقف", "probability": 0.9560546875}, {"start": 1234.52, "end": 1234.82, "word": " هنا", "probability": 0.96728515625}, {"start": 1234.82, "end": 1235.16, "word": " بقول", "probability": 0.7861328125}, {"start": 1235.16, "end": 1235.74, "word": " القارب", "probability": 0.9900716145833334}, {"start": 1235.74, "end": 1237.04, "word": " بتحرك", "probability": 0.8810221354166666}, {"start": 1237.04, "end": 1238.08, "word": " بهذا", "probability": 0.959228515625}, {"start": 1238.08, "end": 1239.02, "word": " الاتجاه", "probability": 0.868896484375}, {"start": 1239.02, "end": 1240.08, "word": " اذا", "probability": 0.7061767578125}, {"start": 1240.08, "end": 1240.3, "word": " هذا", "probability": 0.6650390625}, {"start": 1240.3, "end": 1240.62, "word": " سرعة", "probability": 0.94189453125}, {"start": 1240.62, "end": 1241.12, "word": " القارب", "probability": 0.9972330729166666}, {"start": 1241.12, "end": 1241.78, "word": " بالنسبة", "probability": 0.98828125}, {"start": 1241.78, "end": 1242.48, "word": " ليه؟", "probability": 0.9034830729166666}], "temperature": 1.0}, {"id": 53, "seek": 127068, "start": 1243.4, "end": 1270.68, "text": "وشايف سرعة الماء بالنسبة لي قيمتها واحد و نصف و اتجاهها في اتجاه الوار او اتجاه ال North متجهات هذا المتجه و هذا المتجه نجمعهم مع بعض بيطلع محصلته اللي هو اغلاق المضلع نجمع المتجهات في الشبطة الأولى لذن VBE بيساوي VBW بيساوي زائد VW", "tokens": [2407, 8592, 995, 33911, 8608, 2288, 27884, 9673, 16606, 20666, 1863, 35457, 3660, 32239, 12174, 32640, 2655, 11296, 36764, 24401, 4032, 8717, 9381, 5172, 4032, 1975, 2655, 7435, 40294, 11296, 8978, 1975, 2655, 7435, 40294, 2423, 14407, 2288, 1975, 2407, 1975, 2655, 7435, 40294, 2423, 4067, 44650, 7435, 3224, 9307, 23758, 9673, 2655, 7435, 3224, 4032, 23758, 9673, 2655, 7435, 3224, 8717, 7435, 2304, 3615, 16095, 20449, 45030, 11242, 4724, 1829, 9566, 1211, 3615, 3714, 5016, 36520, 47395, 13672, 1829, 31439, 1975, 17082, 15040, 4587, 9673, 11242, 1211, 3615, 8717, 7435, 2304, 3615, 9673, 2655, 7435, 3224, 9307, 8978, 25124, 3555, 9566, 3660, 16247, 12610, 7578, 5296, 8848, 1863, 691, 10207, 4724, 1829, 3794, 995, 45865, 691, 33, 54, 4724, 1829, 3794, 995, 45865, 30767, 16373, 3215, 691, 54], "avg_logprob": -0.21718749266404372, "compression_ratio": 1.8755760368663594, 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{"start": 1275.39, "end": 1275.77, "word": " أجمع", "probability": 0.8887939453125}, {"start": 1275.77, "end": 1276.53, "word": " متجهات", "probability": 0.8720703125}, {"start": 1276.53, "end": 1276.99, "word": " بجمع", "probability": 0.90771484375}, {"start": 1276.99, "end": 1277.53, "word": " المراكبات", "probability": 0.946484375}, {"start": 1277.53, "end": 1277.85, "word": " السينية", "probability": 0.8626302083333334}, {"start": 1277.85, "end": 1278.03, "word": " مع", "probability": 0.9873046875}, {"start": 1278.03, "end": 1278.37, "word": " بعض", "probability": 0.994384765625}, {"start": 1278.37, "end": 1279.57, "word": " والمراكبات", "probability": 0.8275553385416666}, {"start": 1279.57, "end": 1280.25, "word": " الصعودية", "probability": 0.6568603515625}, {"start": 1280.25, "end": 1280.83, "word": " مع", "probability": 0.9853515625}, {"start": 1280.83, "end": 1281.17, "word": " بعض", "probability": 0.9970703125}, {"start": 1281.17, "end": 1281.67, "word": " يعني", 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"probability": 0.163330078125}, {"start": 1425.98, "end": 1426.3, "word": " في", "probability": 0.6982421875}, {"start": 1426.3, "end": 1426.52, "word": " اتجاه", "probability": 0.9461669921875}, {"start": 1426.52, "end": 1426.66, "word": " ال", "probability": 0.8701171875}, {"start": 1426.66, "end": 1426.86, "word": " X", "probability": 0.9765625}, {"start": 1426.86, "end": 1427.5, "word": " لأ", "probability": 0.802490234375}, {"start": 1427.5, "end": 1428.26, "word": " هنا", "probability": 0.802734375}, {"start": 1428.26, "end": 1429.36, "word": " VW", "probability": 0.96337890625}, {"start": 1429.36, "end": 1430.36, "word": " واحد", "probability": 0.692626953125}, {"start": 1430.36, "end": 1430.82, "word": " ونص", "probability": 0.805908203125}], "temperature": 1.0}, {"id": 60, "seek": 145090, "start": 1432.62, "end": 1450.9, "text": "من هذه العلاقة بقدر اطلع sign الزاوية بتساوي سالب واحد و نص بنجلها على الطرف التاني على خمسة بطلع الزاوية وبعد ما اطلع الزاوية بعوض عن الزاوية بطلع ال VPA ماشي بتكملوه وهيك بننهي المحاضرة", "tokens": [27842, 29538, 18863, 15040, 28671, 4724, 28543, 2288, 1975, 9566, 1211, 3615, 1465, 6024, 110, 995, 2407, 10632, 39894, 3794, 995, 45865, 8608, 6027, 3555, 36764, 24401, 4032, 8717, 9381, 44945, 7435, 1211, 11296, 15844, 41950, 28480, 16712, 7649, 1829, 15844, 16490, 2304, 3794, 3660, 4724, 9566, 1211, 3615, 6024, 110, 995, 2407, 10632, 46599, 22488, 19446, 1975, 9566, 1211, 3615, 6024, 110, 995, 2407, 10632, 4724, 3615, 2407, 11242, 18871, 6024, 110, 995, 2407, 10632, 4724, 9566, 1211, 3615, 2423, 691, 10297, 3714, 33599, 1829, 39894, 24793, 1211, 2407, 3224, 37037, 1829, 4117, 44945, 1863, 3224, 1829, 9673, 5016, 46958, 25720], "avg_logprob": -0.19538834893587723, "compression_ratio": 1.819672131147541, "no_speech_prob": 1.6689300537109375e-06, "words": [{"start": 1432.62, "end": 1432.88, "word": "من", "probability": 0.56201171875}, {"start": 1432.88, "end": 1433.12, "word": " هذه", "probability": 0.8017578125}, {"start": 1433.12, "end": 1433.6, "word": " العلاقة", "probability": 0.9365234375}, {"start": 1433.6, "end": 1433.96, "word": " بقدر", "probability": 0.85888671875}, {"start": 1433.96, "end": 1434.38, "word": " اطلع", "probability": 0.836181640625}, {"start": 1434.38, "end": 1434.82, "word": " sign", "probability": 0.41748046875}, {"start": 1434.82, "end": 1435.66, "word": " الزاوية", "probability": 0.924609375}, {"start": 1435.66, "end": 1437.9, "word": " بتساوي", "probability": 0.78033447265625}, {"start": 1437.9, "end": 1439.3, "word": " سالب", "probability": 0.661865234375}, {"start": 1439.3, "end": 1439.74, "word": " واحد", "probability": 0.951171875}, {"start": 1439.74, "end": 1439.88, "word": " و", "probability": 0.99169921875}, {"start": 1439.88, "end": 1440.3, "word": " نص", "probability": 0.841064453125}, {"start": 1440.3, "end": 1440.92, "word": " بنجلها", "probability": 0.69891357421875}, {"start": 1440.92, "end": 1441.04, "word": " على", "probability": 0.89208984375}, {"start": 1441.04, "end": 1441.26, "word": " الطرف", "probability": 0.95947265625}, {"start": 1441.26, "end": 1441.74, "word": " التاني", "probability": 0.8740234375}, {"start": 1441.74, "end": 1442.02, "word": " على", "probability": 0.83056640625}, {"start": 1442.02, "end": 1442.72, "word": " خمسة", "probability": 0.9356689453125}, {"start": 1442.72, "end": 1443.46, "word": " بطلع", "probability": 0.8892822265625}, {"start": 1443.46, "end": 1444.08, "word": " الزاوية", "probability": 0.97373046875}, {"start": 1444.08, "end": 1445.12, "word": " وبعد", "probability": 0.7396240234375}, {"start": 1445.12, "end": 1445.22, "word": " ما", "probability": 0.81298828125}, {"start": 1445.22, "end": 1445.48, "word": " اطلع", "probability": 0.774169921875}, {"start": 1445.48, "end": 1445.76, "word": " الزاوية", "probability": 0.94453125}, {"start": 1445.76, "end": 1446.14, "word": " بعوض", "probability": 0.694091796875}, {"start": 1446.14, "end": 1446.3, "word": " عن", "probability": 0.90234375}, {"start": 1446.3, "end": 1446.7, "word": " الزاوية", "probability": 0.9642578125}, {"start": 1446.7, "end": 1447.16, "word": " بطلع", "probability": 0.884521484375}, {"start": 1447.16, "end": 1447.28, "word": " ال", "probability": 0.93798828125}, {"start": 1447.28, "end": 1447.8, "word": " VPA", "probability": 0.5401611328125}, {"start": 1447.8, "end": 1448.3, "word": " ماشي", "probability": 0.8850911458333334}, {"start": 1448.3, "end": 1449.54, "word": " بتكملوه", "probability": 0.74501953125}, {"start": 1449.54, "end": 1449.96, "word": " وهيك", "probability": 0.6832682291666666}, {"start": 1449.96, "end": 1450.3, "word": " بننهي", "probability": 0.8443603515625}, {"start": 1450.3, "end": 1450.9, "word": " المحاضرة", "probability": 0.9873046875}], "temperature": 1.0}, {"id": 61, "seek": 146861, "start": 1452.09, "end": 1468.61, "text": "ويعطيكم العافية ان شاء الله المحاضرات جاي بتكون عبارة عن مناقش للتلات شباتر اللي هو الشبطة الأول والشبطة التانية والشبطة التالت حتى نتكلم عن ال quiz الأول وال quiz 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1452.89, "end": 1453.69, "word": " العافية", "probability": 0.9627278645833334}, {"start": 1453.69, "end": 1454.31, "word": " ان", "probability": 0.5634765625}, {"start": 1454.31, "end": 1454.49, "word": " شاء", "probability": 0.97705078125}, {"start": 1454.49, "end": 1454.55, "word": " الله", "probability": 0.9638671875}, {"start": 1454.55, "end": 1455.21, "word": " المحاضرات", "probability": 0.8421875}, {"start": 1455.21, "end": 1455.47, "word": " جاي", "probability": 0.5687255859375}, {"start": 1455.47, "end": 1455.77, "word": " بتكون", "probability": 0.9658203125}, {"start": 1455.77, "end": 1456.17, "word": " عبارة", "probability": 0.992919921875}, {"start": 1456.17, "end": 1456.45, "word": " عن", "probability": 0.990234375}, {"start": 1456.45, "end": 1457.53, "word": " مناقش", "probability": 0.9581298828125}, {"start": 1457.53, "end": 1457.93, "word": " للتلات", "probability": 0.803466796875}, {"start": 1457.93, "end": 1458.55, "word": " شباتر", "probability": 0.9859619140625}, {"start": 1458.55, "end": 1459.05, "word": " اللي", "probability": 0.930419921875}, {"start": 1459.05, "end": 1459.27, "word": " هو", "probability": 0.978515625}, {"start": 1459.27, "end": 1459.57, "word": " الشبطة", "probability": 0.7186279296875}, {"start": 1459.57, "end": 1459.91, "word": " الأول", "probability": 0.961669921875}, {"start": 1459.91, "end": 1460.33, "word": " والشبطة", "probability": 0.890625}, {"start": 1460.33, "end": 1460.75, "word": " التانية", "probability": 0.8458658854166666}, {"start": 1460.75, "end": 1461.15, "word": " والشبطة", "probability": 0.96796875}, {"start": 1461.15, "end": 1461.63, "word": " التالت", "probability": 0.9744466145833334}, {"start": 1461.63, "end": 1462.25, "word": " حتى", "probability": 0.911376953125}, {"start": 1462.25, "end": 1462.75, "word": " نتكلم", "probability": 0.99267578125}, {"start": 1462.75, "end": 1463.13, "word": " عن", "probability": 0.98681640625}, {"start": 1463.13, "end": 1463.29, "word": " ال", "probability": 0.97216796875}, {"start": 1463.29, "end": 1463.73, "word": " quiz", "probability": 0.974609375}, {"start": 1463.73, "end": 1464.41, "word": " الأول", "probability": 0.958740234375}, {"start": 1464.41, "end": 1464.81, "word": " وال", "probability": 0.40673828125}, {"start": 1464.81, "end": 1465.11, "word": " quiz", "probability": 0.77001953125}, {"start": 1465.11, "end": 1465.45, "word": " الأول", "probability": 0.97314453125}, {"start": 1465.45, "end": 1465.59, "word": " هو", "probability": 0.9609375}, {"start": 1465.59, "end": 1465.99, "word": " للتلات", "probability": 0.92822265625}, {"start": 1465.99, "end": 1466.41, "word": " شباتر", "probability": 0.982666015625}, {"start": 1466.41, "end": 1466.95, "word": " يعطيكوا", "probability": 0.88125}, {"start": 1466.95, "end": 1467.25, "word": " العافية", "probability": 0.9641927083333334}, {"start": 1467.25, "end": 1467.43, "word": " كمان", "probability": 0.6283365885416666}, {"start": 1467.43, "end": 1467.73, "word": " الله", "probability": 0.5029296875}, {"start": 1467.73, "end": 1468.07, "word": " رب", "probability": 0.585693359375}, {"start": 1468.07, "end": 1468.61, "word": " نغفركم", "probability": 0.86396484375}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1468.964, "duration_after_vad": 1421.004999999999}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/b2ILWcq273U.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/b2ILWcq273U.srt
new file mode 100644
index 0000000000000000000000000000000000000000..729bd757e8aff330a30cb113abde73a56c85d196
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/b2ILWcq273U.srt
@@ -0,0 +1,902 @@
+
+1
+00:00:05,160 --> 00:00:06,980
+بسم الله الرحمن الرحيم يعطيكم العافية يا شباب
+
+2
+00:00:06,980 --> 00:00:09,800
+نحاول اليوم نكمل chapter تسعة اللي هو ال
+
+3
+00:00:09,800 --> 00:00:13,420
+collisions، الـ collisions، التصادمات، التصادمات، أول
+
+4
+00:00:13,420 --> 00:00:16,940
+حاجة أخذنا فيها الـ impulse، واتكلمنا عنه، الـ impulse
+
+5
+00:00:16,940 --> 00:00:20,220
+الدفع، وقلنا الدفع هو كمية متجهة، ووحدة، ووحدة
+
+6
+00:00:20,220 --> 00:00:24,850
+مشابهة لوحدة الـ momentum، وبعد ما قلنا الـ impulse
+
+7
+00:00:24,850 --> 00:00:28,330
+عبارة عن متجه، واحد فعل، والثاني ماله رد فعل، بعمل
+
+8
+00:00:28,330 --> 00:00:32,550
+force، واحد reaction، والثاني مالها reaction، ولما
+
+9
+00:00:32,550 --> 00:00:36,330
+حسبت الـ impulse اللي جاي بيساوي التغيير في
+
+10
+00:00:36,330 --> 00:00:39,670
+كمية الحركة، وخدنا مثال عليه، وبعد ما خدنا مثال
+
+11
+00:00:39,670 --> 00:00:43,850
+مثالين، آسف، خدنا مثالين، وبعد ما خدنا مثالين، روحنا على
+
+12
+00:00:43,850 --> 00:00:48,200
+الـ collision، واتكلمنا عن الـ collision وأنواعه، نذكر
+
+13
+00:00:48,200 --> 00:00:50,380
+إيش أنواع الـ collision؟ الـ collision فيه منه نوعين
+
+14
+00:00:50,380 --> 00:00:53,680
+النوع الأول، حاجة بسميه elastic collision، والنوع
+
+15
+00:00:53,680 --> 00:00:56,220
+الثاني inelastic collision، الـ elastic collision
+
+16
+00:00:56,220 --> 00:00:59,940
+قلنا فيه لازم يكون شرطين، اللي هو الـ momentum
+
+17
+00:00:59,940 --> 00:01:04,080
+متساوي، و الـ kinetic energy متساوي، لكن الـ inelastic
+
+18
+00:01:04,080 --> 00:01:07,620
+collision، قلنا فيه شرط واحد، تساوي في الـ momentum
+
+19
+00:01:07,620 --> 00:01:11,900
+لكن الـ energy مالها مش متساوي، فيه loss
+
+20
+00:01:11,900 --> 00:01:15,940
+energy، بقدر أحسبها وأحددها عن طريق فقد الطاقة، فيه
+
+21
+00:01:15,940 --> 00:01:18,800
+فقد الطاقة، وقولت في حالة خاصة، special case، اللي
+
+22
+00:01:18,800 --> 00:01:21,880
+بسميها perfectly inelastic collision، قلنا فيها
+
+23
+00:01:21,880 --> 00:01:25,430
+أن الـ momentum بتاع الاثنين بينمسكوا مع بعض وبيظلوا
+
+24
+00:01:25,430 --> 00:01:29,070
+ماشين ككتلة واحدة، رصاصة دخلت في block مثلاً،
+
+25
+00:01:29,070 --> 00:01:33,630
+والاثنين اتحركوا مع بعض بسرعة، مالها؟ بسرعة واحدة،
+
+26
+00:01:33,630 --> 00:01:36,410
+فبقول أن الـ momentum قبل يساوي الـ momentum بعد،
+
+27
+00:01:36,410 --> 00:01:39,910
+لكن نفس الشيء، بيظل الـ kinetic energy is not
+
+28
+00:01:39,910 --> 00:01:45,370
+conserved، وبعد هيك اتكلمنا عن الـ one-dimension
+
+29
+00:01:45,370 --> 00:01:48,850
+elastic collision، وقلنا فيها الشرطين، أنه إذا كان
+
+30
+00:01:48,850 --> 00:01:52,050
+متساوي الـ kinetic energy متساوي، حللنا المعادلتين مع
+
+31
+00:01:52,050 --> 00:01:54,510
+بعض، وبعد ما حللنا المعادلتين مع بعض، طلعت end
+
+32
+00:01:54,510 --> 00:01:59,910
+المعادلة هذه، V1 final، وقيمة V2 final، جسمين اصطدموا
+
+33
+00:01:59,910 --> 00:02:03,450
+جاي بسرعة معينة، هذا وهذا جاي بسرعة معينة، اثنين
+
+34
+00:02:03,450 --> 00:02:09,150
+اصطدموا، مع تصادم مرن، بعد التصادم صار في عنده اللي
+
+35
+00:02:09,150 --> 00:02:13,050
+هو سرعات نهائية، بعد التصادم، حسبت السرعات النهائية
+
+36
+00:02:13,050 --> 00:02:17,550
+من المعادلات، وطلعت المعادلة هذه، والمعادلة هذه، حل
+
+37
+00:02:17,550 --> 00:02:20,290
+المعادلة دي، ما بديش أحل عليها دائماً، أنا دائماً بحل
+
+38
+00:02:20,290 --> 00:02:22,510
+على معادلتين أساسيتين، اللي هي الـ momentum والـ
+
+39
+00:02:22,510 --> 00:02:25,550
+kinetic energy، بحط المعادلة، خاصة لما يكون الأرقام
+
+40
+00:02:25,550 --> 00:02:30,460
+بيكون حالهم أسهل، سهل، وبطلع قيمة الـ V1 final وV2
+
+41
+00:02:30,460 --> 00:02:34,560
+final، لكن هذه للتأكيد، قلنا كيف عبارة عن، بعد ما
+
+42
+00:02:34,560 --> 00:02:38,760
+حلها، لو لاحظت، ممكن نكتبها M1 وM2، M1 وM2، M1 وM2
+
+43
+00:02:38,760 --> 00:02:42,400
+M1 وM2، هنا طبعاً عارفين أنا بدي أجيب الـ final
+
+44
+00:02:42,400 --> 00:02:46,280
+بدلالة الـ initial، الـ final بدلالة الـ initial، هنا
+
+45
+00:02:46,280 --> 00:02:53,840
+عندي V1 initial، ببدأ بـ 1، M1-M2، 2M2، هنا العكس، 2M1، هنا
+
+46
+00:02:53,840 --> 00:02:58,160
+بيصير M2 ناقص M1، الآن بتكلم عن special
+
+47
+00:02:58,160 --> 00:03:03,200
+cases، في عندي حالات خاصة، أول حالة لما يكون عندي M
+
+48
+00:03:03,200 --> 00:03:07,240
+واحد بيساوي M2، الكتلتين مع بعض متساوية، M
+
+49
+00:03:07,240 --> 00:03:11,760
+واحد بيساوي M2، هذا راح يصير
+
+50
+00:03:11,760 --> 00:03:15,720
+عندي M1 بيساوي M2، اثنين M، M
+
+51
+00:03:15,720 --> 00:03:18,580
+واحد بيساوي M2، اثنين M، بيصير هذا قيمته واحد
+
+52
+00:03:19,480 --> 00:03:23,340
+M1 بيساوي M2، بيصير هذا قيمته واحد، إيش بيطلع عنده V1
+
+53
+00:03:23,340 --> 00:03:26,640
+final بيساوي V2 initial، V1 final بيساوي V2 initial
+
+54
+00:03:26,640 --> 00:03:31,120
+و V2 final بيساوي V1 initial، معادلة الأولى ومعادلة
+
+55
+00:03:31,120 --> 00:03:34,640
+الثانية ما هي إلا عملية تعويض، M1 بيساوي M2 بيساوي
+
+56
+00:03:34,640 --> 00:03:41,580
+M، عوض عن M1 وM2 بيساوي M، وبطلع قيمة V1 final و
+
+57
+00:03:41,580 --> 00:03:51,140
+V2 final، لو كانت M2 ساكنة، يعني V2 initial بتساوي
+
+58
+00:03:51,140 --> 00:03:54,800
+زيرو، إيش معناها؟ very light، يعني تقول لمين؟ M2
+
+59
+00:03:54,800 --> 00:03:58,100
+صغيرة جداً، تقول لزرعة، أنا كيلو، اثنين كيلو،
+
+60
+00:03:58,100 --> 00:04:00,520
+بالنسبة لمين؟ بالنسبة، نسبية، كل حاجة طبعاً اللي
+
+61
+00:04:00,520 --> 00:04:05,080
+بنتكلم عليها نسبية، ونسبية إحنا عارفينها حتى في
+
+62
+00:04:05,080 --> 00:04:10,020
+كل شيء، كل شيء يقاس بالنسبة، بالنسبية، يعني حتى
+
+63
+00:04:10,020 --> 00:04:12,960
+حديث الله صلى الله عليه وسلم يقول سبق درهم مائة
+
+64
+00:04:12,960 --> 00:04:19,010
+ألف درهم، كيف سبقهم؟ نسبية، هذا معادلة رقمين ننفق واحد
+
+65
+00:04:19,010 --> 00:04:23,010
+وكذلك إحنا بنتكلم لما أجيس باجيس بالنسبة للنسبة
+
+66
+00:04:23,010 --> 00:04:27,190
+كأنها في هذه الحالة M2 بتساوي Zero، لا تذكر
+
+67
+00:04:27,190 --> 00:04:33,550
+بالنسبة لمين؟ لـ M1، مثال عليها، تراق وبسكليت، تراق
+
+68
+00:04:33,550 --> 00:04:38,150
+وكرة، الكرة بالنسبة للتراق عشرة أطنان للتراق مثلاً، لكن
+
+69
+00:04:38,150 --> 00:04:42,460
+الكرة أو البسكليت أو عشرة كيلو، في هذه الحالة إيش
+
+70
+00:04:42,460 --> 00:04:48,420
+بيصير عندي لما يصدموا تصادم، إيش تصادم مرن؟ إيش
+
+71
+00:04:48,420 --> 00:04:51,380
+بيصير؟ طبعاً هنا ليس تصادم مرن، أنا بقول كحالة لو
+
+72
+00:04:51,380 --> 00:04:56,580
+في عندي تصادم، جسم كبير جداً وجسم ماله صغير
+
+73
+00:04:56,580 --> 00:05:00,800
+إيش بيصير عندي؟ طبعاً في هذه الحالة نيجي نطلع هنا
+
+74
+00:05:00,800 --> 00:05:07,980
+لاحظوا M1 زائد M2، كلهم عشرة أطنان زائد
+
+75
+00:05:07,980 --> 00:05:13,140
+عشرة كيلو، تبقى عشرة أطنان، M1، عشرة أطنان زائد عشرة
+
+76
+00:05:13,140 --> 00:05:16,260
+كيلو، بيبقى M1، إذا هنا كل المقام كأنه بيصير
+
+77
+00:05:16,260 --> 00:05:22,860
+تقريباً M1، ما تغيرش، M1، آجي عند هنا M1
+
+78
+00:05:22,860 --> 00:05:26,560
+كبير، أطرح منه صغير، بتغير، بيبقى M1، عشرة أطنان
+
+79
+00:05:26,560 --> 00:05:30,860
+ناقص عشرة كيلو، بتخسر حاجة، بتخسر حاجة، لأ، اثنين M
+
+80
+00:05:30,860 --> 00:05:34,780
+اثنين M2 على M1، عشرة على عشرة أطنان على
+
+81
+00:05:34,780 --> 00:05:40,510
+عشرة آلاف، كأنها تقول لمين؟ للزيرو، M2 أو M1
+
+82
+00:05:40,510 --> 00:05:42,250
+أو واحد أو واحد أو واحد أو واحد أو واحد أو واحد أو
+
+83
+00:05:42,250 --> 00:05:44,050
+واحد أو واحد أو واحد أو واحد أو واحد أو واحد أو
+
+84
+00:05:44,050 --> 00:05:45,030
+واحد أو واحد أو واحد أو واحد أو واحد أو واحد أو
+
+85
+00:05:45,030 --> 00:05:53,590
+واحد أو واحد أو واحد أو واحد أو واحد أو واحد أو
+
+86
+00:05:53,590 --> 00:05:57,850
+واحد أو واحد أو واحد أو واحد أو واحد أو واحد أو
+
+87
+00:05:57,850 --> 00:05:57,870
+واحد أو واحد أو واحد أو واحد أو واحد أو واحد أو
+
+88
+00:05:57,870 --> 00:05:57,890
+واحد أو واحد أو واحد أو واحد أو واحد أو واحد أو
+
+89
+00:05:57,890 --> 00:06:04,090
+واحد أو واحد أو واحد أو واحد أو واحد أو
+
+90
+00:06:05,110 --> 00:06:10,590
+ماله كبير جداً أو ثقيل جداً، كتلته كبيرة بالنسبة لـ
+
+91
+00:06:10,590 --> 00:06:18,930
+M1، يعني M2 أكبر بكثير من M1، عشان متخيلين حائط زي
+
+92
+00:06:18,930 --> 00:06:23,710
+هيك أو truck، واجهة واجهة، بس كلها بتخبطه، أو طب تخبطه
+
+93
+00:06:23,710 --> 00:06:31,920
+الـ block، بتحرك الـ truck، بتحرك لأ، الطبقة مالها؟ أو
+
+94
+00:06:31,920 --> 00:06:38,420
+الكرة بتخبط بوجهها وترتد بنفس السرعة، لكن
+
+95
+00:06:38,420 --> 00:06:42,840
+الـ truck بتتأثر، تقريباً سرعته لا تتأثر، اهتزاز بسيط
+
+96
+00:06:42,840 --> 00:06:47,680
+جداً، is very small، بتضل صغيرة جداً بالنسبة لسرعة
+
+97
+00:06:47,680 --> 00:06:51,810
+الكرة، وبيهمنا هذا سرعة الكرة، إيش معناها؟ بترتد بنفس
+
+98
+00:06:51,810 --> 00:06:55,930
+السرعة تقريباً، لكن في الـ elastic، كلها جمعة تصادم منين؟
+
+99
+00:06:55,930 --> 00:06:59,830
+لكن سرعة الـ truck بتضل معناها صغيرة جداً، تقول
+
+100
+00:06:59,830 --> 00:07:04,730
+لمين؟ للزيرو، بنفس الكيفية، M2 وM1، مين الأكبر؟ M2، لذا
+
+101
+00:07:04,730 --> 00:07:10,730
+هنا بيصير M2، M2، M2، M2، مين اللي ساكن؟ كان عنده اللي
+
+102
+00:07:10,730 --> 00:07:14,830
+ساكن عنده اللي هو M2، اللي هو V2 initial، هذا ساكن
+
+103
+00:07:14,830 --> 00:07:23,240
+بيروح بزيرو، V2 initial بتروح بزيرو، بيصير عندي فقط اللي
+
+104
+00:07:23,240 --> 00:07:30,000
+هو الحد الأول، V1 final بيساوي، هات اثنين بيساوي
+
+105
+00:07:30,000 --> 00:07:36,260
+بس عند V1 initial، بس بإشارة معاكسة، لإن
+
+106
+00:07:36,260 --> 00:07:41,660
+الواحد بتصير إيش؟ معاكسة، يعني عشرة ناقص ألف، عشرة
+
+107
+00:07:41,660 --> 00:07:45,180
+بيبقى ناقص ألف، لذا فهذه بيبقى إشارة سالبة، إشارة
+
+108
+00:07:45,180 --> 00:07:50,950
+سالبة، إيش معناها؟ ترتد، V2 بالنسبة بتكون صغيرة جداً
+
+109
+00:07:50,950 --> 00:07:55,970
+لأن اثنين أو واحد أو عشرين كيلوغرام على عشرة آلاف، صغيرة جداً
+
+110
+00:07:55,970 --> 00:07:59,930
+فبتظل هذا الحد ماله؟ صغير جداً، إذا الـ V2 final بتظل
+
+111
+00:07:59,930 --> 00:08:05,730
+مالها؟ صغيرة جداً بالنسبة لـ V1 initial، ناخد مثال على
+
+112
+00:08:05,730 --> 00:08:10,390
+التصادم المرن، يقول في عنده small particle، كتلة اثنين
+
+113
+00:08:10,390 --> 00:08:16,070
+كيلوغرام، اصطدم بسرعة V1 initial، اثني عشر
+
+114
+00:08:20,160 --> 00:08:25,180
+اثني عشر متراً على الثانية، و block ثاني كتلته M2، كتلته
+
+115
+00:08:25,180 --> 00:08:29,140
+ستة كيلوغرام، بيتحرك هذا للـ left، وهذا بيتحرك للـ
+
+116
+00:08:29,140 --> 00:08:33,380
+right، اثنين بيصطدموا مع بعض، هذا كتلته، هذا واحد
+
+117
+00:08:33,380 --> 00:08:37,320
+بيتحرك للـ left، والثاني بيتحرك للـ right، اللي الـ
+
+118
+00:08:37,320 --> 00:08:40,440
+right، اللي هو اثنين كيلوغرام، وهذا ستة كيلوغرام
+
+119
+00:08:40,440 --> 00:08:48,840
+اصطدموا مع بعض، هنا اثني عشر متراً على الثانية، وهنا ثمانية
+
+120
+00:08:48,840 --> 00:08:53,080
+متراً على الثانية، اصطدموا مع بعض، بدي أوجد السرعة
+
+121
+00:08:53,080 --> 00:08:58,430
+after collision، بعد التصادم، حل سهل، ما علي إلا أعوض عن
+
+122
+00:08:58,430 --> 00:09:02,030
+المعادلة، V1 final بيساوي، M1 ناقص M2، أو أكتب
+
+123
+00:09:02,030 --> 00:09:05,970
+المعادلتين من البداية، V initial بيساوي V final، و K
+
+124
+00:09:05,970 --> 00:09:10,130
+initial بيساوي K final، إذا أنا مش حافظ المعادلتين
+
+125
+00:09:10,130 --> 00:09:13,070
+طبعاً ما نطلبش تحفظها، الأصل تبدأ من وين؟ V initial
+
+126
+00:09:13,070 --> 00:09:16,050
+بيساوي V final، و K initial بيساوي K final، وتحلهم
+
+127
+00:09:16,050 --> 00:09:20,260
+وتصل لـ V1 final، عن طريق حل المعادلة، V1 final
+
+128
+00:09:20,260 --> 00:09:24,960
+عوض عن الكتل بقيمها، وعوض عن السرعات بقيمها، اثني عشر
+
+129
+00:09:24,960 --> 00:09:29,760
+ثمانية، بطلع قيمة اللي هي السرعة V1 final، إيش
+
+130
+00:09:29,760 --> 00:09:36,060
+معناها سرعة V1 final بالسالب؟ معناها اتجاه معاكس،
+
+131
+00:09:36,060 --> 00:09:42,340
+اتجاه معاكس، إذا هنا هترتد، هذه الكرة الأولى، أو V1
+
+132
+00:09:42,340 --> 00:09:46,820
+بنفس الكيفية، V2 final، بدأ يجيب معادلته، وعوض عن
+
+133
+00:09:46,820 --> 00:09:49,920
+الكتل، بتطلع اثنين متراً على الثانية، اثنين متراً على
+
+134
+00:09:49,920 --> 00:09:54,980
+الثانية، بتضل مالها؟ ماشية بنفس الاتجاه، في نفس
+
+135
+00:09:54,980 --> 00:09:58,340
+الاتجاه، لو عكس، بترتد بعكس الاتجاه، إشارة موجبة، لإن
+
+136
+00:09:58,340 --> 00:10:01,760
+هيك، الإشارة الموجبة، والاتجاه الثاني إشارة مالها؟
+
+137
+00:10:01,760 --> 00:10:05,480
+سالبة، بسرعة نهائية قيمتها اثنين متر بالثانية، إذا أنا
+
+138
+00:10:05,480 --> 00:10:10,210
+أوجدت سرعتين، السرعة الأولى بعد اصطدامهما، ثمانية عشر، بس
+
+139
+00:10:10,210 --> 00:10:14,350
+الاتجاه المعاكس، السرعة الثانية اثنين متر على الثانية،
+
+140
+00:10:14,350 --> 00:10:17,970
+برضه في الاتجاه المعاكس، بالنسبة للحركة اللي كانت
+
+141
+00:10:17,970 --> 00:10:20,490
+تتحرك فيها، هذا كان بيتحرك زي هيك، ارتد زي هيك، وهذا
+
+142
+00:10:20,490 --> 00:10:25,630
+كان بيتحرك زي هيك، ارتد في الاتجاه المعاكس، ناخذ لنا
+
+143
+00:10:25,630 --> 00:10:37,810
+كمان مثال، كمان مثال، في عندي بندول، اللي هو بندولين،
+
+144
+00:10:37,810 --> 00:10:42,210
+طبعاً البندول عبارة عن كرة مربوطة في خيط وبتتحرك و
+
+145
+00:10:42,210 --> 00:10:47,210
+بتهتز، الآن ربطت الاثنين مع بعض، فيه هذا كتلته M1 و
+
+146
+00:10:47,210 --> 00:10:53,770
+كتلته M2، M1 هذا بندول كبير، بيساوي خمسين كيلوغرام،
+
+147
+00:10:53,770 --> 00:10:57,050
+و M2 بيساوي اثنين كيلوغرام،
+
+148
+00:11:01,530 --> 00:11:06,250
+طبعاً هذا انطلق، هذا الساكن، كان V2 initial
+
+149
+00:11:06,250 --> 00:11:10,470
+بتساوي زيرو، طبعاً لازم أُحدد سرعات قبل، إذا أنا عارفها، وإذا
+
+150
+00:11:10,470 --> 00:11:13,050
+إذا عارف سرعات قبل، لازم أحددها عشان أشوف إيش
+
+151
+00:11:13,050 --> 00:11:16,010
+المطلوب منهم، وبعد هيك بشوف إيش المطلوب، بحسبه، هذا
+
+152
+00:11:16,010 --> 00:11:20,870
+بدأ من السكون، V2 بتساوي زيرو، الآن من ارتفاع ثلاثة من
+
+153
+00:11:20,870 --> 00:11:25,440
+عشرة متر، ثلاثين سنتيمتر، هينزل، الآن إيش اللي بيصير عندي؟
+
+154
+00:11:25,440 --> 00:11:29,920
+تتحول طاقة الوضع لطاقة إيش؟ حركة، هنا سرعته بيساوي
+
+155
+00:11:29,920 --> 00:11:32,720
+زيرو، إذا الـ kinetic، الـ kinetic بيساوي زيرو، لكن الـ
+
+156
+00:11:32,720 --> 00:11:36,760
+potential بيساوي M جي في ثلاثة من عشرة، اللي هو
+
+157
+00:11:36,760 --> 00:11:40,740
+الارتفاع، هنا صارت كلها، هذا المستوى الصفري، تحولت
+
+158
+00:11:40,740 --> 00:11:44,560
+طاقة الوضع صارت زيرو، تحولت لطاقة حركة، وصار في قد
+
+159
+00:11:44,560 --> 00:11:49,440
+سرعة قبل اصطدامهما، V1 initial، بقدر أحسبها من
+
+160
+00:11:49,440 --> 00:11:55,110
+الـ kinetic، من الـ kinetic energy، مثلاً عند M1 في GH زائد
+
+161
+00:11:55,110 --> 00:12:00,310
+زيرو،  في kinetic energy، هنا نص M1 V1 زائد زيرو،
+
+162
+00:12:00,310 --> 00:12:03,810
+اللي هو الـ potential energy، قيمته زيرو، من هذه
+
+163
+00:12:03,810 --> 00:12:08,530
+العلاقة، بطلع السرعة قبل التصادم للجسم الأول، طلعت
+
+164
+00:12:08,530 --> 00:12:11,770
+السرعة، طلعت كأنه في عندي V1 initial، الجسم الثاني
+
+16
+
+223
+00:16:27,750 --> 00:16:31,590
+الطاقة الحركية للتانين مثلاً، هذا في الـ perfect
+
+224
+00:16:31,590 --> 00:16:35,030
+لأن الـ elastic التانين تحركوا مع بعض، إذن كأنهم كتلة
+
+225
+00:16:35,030 --> 00:16:38,290
+واحدة. طاقة الحركة النهائية بتساوي نصف m1 زائد
+
+226
+00:16:38,290 --> 00:16:42,870
+m2 (كتلة) في الـ V النهائية بعد التصادم. هذا لو أنا
+
+227
+00:16:42,870 --> 00:16:47,470
+طرحت K initial ناقص الـ K final، بلاقي فيه loss
+
+228
+00:16:47,470 --> 00:17:00,440
+in energy. قيمتها قد ايش؟ القيمة بالجول بقدر أحسبها. نأخذ
+
+229
+00:17:00,440 --> 00:17:06,000
+مثال عليها، مثال سهل. بيقول فيه عندي رصاصة وكتلة جسم
+
+230
+00:17:06,000 --> 00:17:09,940
+طبعاً، ما حد ما يقول رصاصة اصطدمت في جسم، عاملة تشوّه في
+
+231
+00:17:09,940 --> 00:17:15,010
+الجسم مباشرةً. حتقول لي هذا تصادم، ماله؟ تصادم غير
+
+232
+00:17:15,010 --> 00:17:20,010
+مرن (inelastic collision). الرصاصة أعطاني وزنها،
+
+233
+00:17:20,010 --> 00:17:25,110
+كتلتها وسرعتها. كتلتها عشرين جرام،  الكتلة m1، آسف
+
+234
+00:17:25,110 --> 00:17:32,050
+عشرين جرام، عشرين جرام يعني 0.02 كيلوجرام.  وكتلة الـ block
+
+235
+00:17:32,050 --> 00:17:37,200
+كتلته اثنين كيلوجرام.  فدّ قاموا اثنين
+
+236
+00:17:37,200 --> 00:17:40,940
+اصطدموا مع بعض، و الاثنين تحركوا بسرعة نهائية.
+
+237
+00:17:40,940 --> 00:17:44,860
+ما عليّ إلا أطبّق القانون: P initial بتساوي الـ P
+
+238
+00:17:44,860 --> 00:17:48,900
+final.  P initial ما تنساش أن الجسم الأول، الثاني كان
+
+239
+00:17:48,900 --> 00:17:52,740
+ساكن. إذا الجسم الثاني كان ساكن، حتكون صفر (Zero). تبقى الجسم
+
+240
+00:17:52,740 --> 00:17:56,580
+الأول، اللي هي الرصاصة، كتلتها في سرعتها بتساوي
+
+241
+00:17:56,580 --> 00:18:00,020
+الكتلة الأولى زائد الكتلة الثانية في السرعة
+
+242
+00:18:00,020 --> 00:18:04,940
+النهائية. وطلع السرعة النهائية قد ايش؟ كمّيتها قد ايش؟ الـ
+
+243
+00:18:04,940 --> 00:18:08,340
+loss in energy، loss في الـ K.E (طاقة الحركة). قد ايش الفقد في
+
+244
+00:18:08,340 --> 00:18:11,260
+طاقة الحركة؟ بتحسبها: بتجيب الـ K initial، قد ايش قيمتها،
+
+245
+00:18:11,260 --> 00:18:15,760
+و الـ K final. ما تنساش أن هذا ما له سرعة، بيطلع عنده هي
+
+246
+00:18:15,760 --> 00:18:19,780
+قيمتها، وهي قيمة بعد التصادم. بلقي فيه loss in energy، و
+
+247
+00:18:19,780 --> 00:18:25,900
+قيمتها كبيرة جداً نتيجة تشوّه الجسم. بقدر أحدد قيمة
+
+248
+00:18:25,900 --> 00:18:32,080
+الـ loss in energy.  نقض كمان مثال، مثال
+
+249
+00:18:32,080 --> 00:18:38,280
+الثاني، اللي هو نفس الشيء. عندي رصاصة اصطدمت في
+
+250
+00:18:38,280 --> 00:18:46,160
+بلوك معلّق بحبل، على شكل زي البندول. اصطدمت
+
+251
+00:18:46,160 --> 00:18:52,140
+في بلوك، و اتحركوا الاثنين مع بعض بسرعة، وارتفعوا
+
+252
+00:18:52,140 --> 00:18:59,700
+مسافة H. هذه المسافة الـ H أعطاني إياها خمسة سنتيمتر. إذاً
+
+253
+00:18:59,700 --> 00:19:04,760
+المسافة خمسة سنتيمتر. عندي في هذه الحالة سرعة، وصلت
+
+254
+00:19:04,760 --> 00:19:08,480
+لأقصى ارتفاع. السرعة النهائية قد ايش؟ بتساوي صفر (Zero). كان
+
+255
+00:19:08,480 --> 00:19:13,380
+عندي مرحلتين. الرصاصة ماشية، اصطدمت في
+
+256
+00:19:13,380 --> 00:19:17,760
+الجسم. لذلك هنا فيه collision، في تصادم. بعد الـ
+
+257
+00:19:17,760 --> 00:19:22,740
+collision، في عندي هنا اللي هو الـ energy، E initial
+
+258
+00:19:22,740 --> 00:19:29,490
+بتساوي الـ E final. الـ E initial عبارة عن كتلة الجسم
+
+259
+00:19:29,490 --> 00:19:33,170
+الأول زائد كتلة الجسم الثاني. والاثنين تحركوا
+
+260
+00:19:33,170 --> 00:19:37,010
+بسرعة قيمتها V1. في عندي الآن سرعة، الاثنين تحركوا، و
+
+261
+00:19:37,010 --> 00:19:41,250
+الرصاصة خبطت في الجسم، خبطت في الـ block ودخلت داخل
+
+262
+00:19:41,250 --> 00:19:44,850
+الـ block، والاثنين مع بعض ماشوا بسرعة نهائية. إذاً
+
+263
+00:19:44,850 --> 00:19:48,910
+بدأوا: m1 في V1 initial (سرعة الرصاصة في كتلتها)
+
+264
+00:19:48,910 --> 00:19:53,970
++ كتلة الـ block في سرعته (بتساوي صفر). الاثنين تحركوا
+
+265
+00:19:53,970 --> 00:19:57,030
+مع بعض كجسم واحد: m1 + m2 في الـ V final.
+
+266
+00:19:57,030 --> 00:20:01,150
+بقدر أطلع قيمة الـ V final. الآن الـ V final هي الجسم
+
+267
+00:20:02,990 --> 00:20:07,130
+معلّق بحبل، في عنده سرعة، بيتحرك فيها، زي هيك.
+
+268
+00:20:07,130 --> 00:20:11,370
+إيش بده يعمل؟ بده يرتفع لنفسه في H. قد ايش الـ H
+
+269
+00:20:11,370 --> 00:20:17,910
+أعطاني إياها. الـ H أنا بحسبها، و بطلع قيمتها. آسف
+
+270
+00:20:17,910 --> 00:20:21,290
+أعطاني إياها، قد ايش قيمتها؟ خمسة سنتيمتر. إذاً بقدر أقول كل
+
+271
+00:20:21,290 --> 00:20:25,930
+الطاقة اللي عنده طاقة حركة، طاقة وضع، قيمتها mgh، في
+
+272
+00:20:25,930 --> 00:20:29,510
+خمسة في عشرة أس سالب اثنين. ليش العشرة أس سالب اثنين؟
+
+273
+00:20:29,510 --> 00:20:35,190
+تحويل من سنتيمتر لمتر. هذه m1 + m2، لأن الاثنين تحركوا
+
+274
+00:20:35,190 --> 00:20:40,490
+ككتلة واحدة. إيش بتساوي؟ هذا الـ E final، وهذا الـ E
+
+275
+00:20:40,490 --> 00:20:46,990
+initial. نصف (m1 + m2) في V تربيع. هذه السرعة
+
+276
+00:20:46,990 --> 00:20:52,730
+هي final،  بعد التصادم.  E initial لمن؟ للطاقة. هذه الـ V
+
+277
+00:20:52,730 --> 00:21:00,510
+final بعد التصادم. إذن هذه الـ V final طلعت قيمتها، بقي
+
+278
+00:21:00,510 --> 00:21:04,690
+لما طلعت قيمتها، بعوّض عنها هنا، بحسب الـ V1 initial
+
+279
+00:21:04,690 --> 00:21:07,510
+المطلوب. بحسب الـ loss in energy. طبعاً، عارفين الـ loss
+
+280
+00:21:07,510 --> 00:21:11,090
+in energy في التصادم، اللي هو بدي أجيب الـ K initial، و
+
+281
+00:21:11,090 --> 00:21:15,030
+أجيب الـ K final، وأطرحهم من بعض. بيطلع عندي قيمة الـ
+
+282
+00:21:15,030 --> 00:21:20,170
+loss in energy، وبحدد قيمتها قد ايش. أعطيكم العافية
+
+283
+00:21:20,170 --> 00:21:22,310
+للمحاضرة الجاية إن شاء الله بنكمل
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/b2ILWcq273U_postprocess.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/b2ILWcq273U_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..2c2342021db7e8c2591f5c5f17695ea692657bc5
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/b2ILWcq273U_postprocess.srt
@@ -0,0 +1,1132 @@
+1
+00:00:05,160 --> 00:00:06,980
+بسم الله الرحمن الرحيم يعطيكوا العافية يا شباب
+
+2
+00:00:06,980 --> 00:00:09,800
+نحاول اليوم نكمل chapter تسعة اللي هو ال
+
+3
+00:00:09,800 --> 00:00:13,420
+collisions ال collisions التصادمات التصادمات أول
+
+4
+00:00:13,420 --> 00:00:16,940
+حاجة أخدنا فيها ال impulse واتكلمنا عنه ال impulse
+
+5
+00:00:16,940 --> 00:00:20,220
+الدفع وقلنا الدفع هو بقرا على المتجة ووحدة ووحدة
+
+6
+00:00:20,220 --> 00:00:24,850
+مشابهة لوحدة ال momentumوبعد ما قلنا ال impulse
+
+7
+00:00:24,850 --> 00:00:28,330
+عبارة عن متجة واحد فعل والتاني ماله رد فعل بعمل
+
+8
+00:00:28,330 --> 00:00:32,550
+force واحد reaction والتاني مالها reaction ولمّا
+
+9
+00:00:32,550 --> 00:00:36,330
+حسبت ال impulse اللي جيته بيساوي التغيير فيه في
+
+10
+00:00:36,330 --> 00:00:39,670
+كمية التحرم وخدنا مثال عليه وبعد ما خدنا مثال
+
+11
+00:00:39,670 --> 00:00:43,850
+مثلين آسف خدنا عليهم وبعد ما خدنا مثلين روحنا على
+
+12
+00:00:43,850 --> 00:00:48,200
+ال collisionواتكلمنا عن ال collision وانواعه نذكر
+
+13
+00:00:48,200 --> 00:00:50,380
+ايش انواع ال collision ال collision في منه نوعين
+
+14
+00:00:50,380 --> 00:00:53,680
+النوع أول حاجة بسميه elastic collision والنوع
+
+15
+00:00:53,680 --> 00:00:56,220
+التاني inelastic collision ال elastic collision
+
+16
+00:00:56,220 --> 00:00:59,940
+قلنا فيه لازم يكون شرطين اللي هو ال momentum
+
+17
+00:00:59,940 --> 00:01:04,080
+متساوي و ال kinetic energy متساوي لكن ال inelastic
+
+18
+00:01:04,080 --> 00:01:07,620
+collision قلنا فيه شرط واحد تساوي في ال momentum
+
+19
+00:01:07,620 --> 00:01:11,900
+لكنالكائنات ال energy مالها مش متساوي في loss
+
+20
+00:01:11,900 --> 00:01:15,940
+energy بقدر احسبها و احددها عن طريق فقد الطاقة جيش
+
+21
+00:01:15,940 --> 00:01:18,800
+الفقد الطاقة و قولت في حالة خاصة special case اللي
+
+22
+00:01:18,800 --> 00:01:21,880
+بسميها perfectly in elastic collision قولنا فيها
+
+23
+00:01:21,880 --> 00:01:25,430
+ان ال moment اللي اتنين بينبيمسكوا مع بعض و بيظلوا
+
+24
+00:01:25,430 --> 00:01:29,070
+ماشيين ككتلة واحدة، ارصاصها دخلت في block مثلا،
+
+25
+00:01:29,070 --> 00:01:33,630
+والاتنين اتحركوا مع بعض بسرعة مالها بسرعة واحدة،
+
+26
+00:01:33,630 --> 00:01:36,410
+فبقول ان ال momentum قبل يساوي ال momentum بعد،
+
+27
+00:01:36,410 --> 00:01:39,910
+لكن نفس الاشي بيظلوا ال kinetic energy is not
+
+28
+00:01:39,910 --> 00:01:45,370
+conserved، و بعد هيكأتكلمنا عن ال one-dimension
+
+29
+00:01:45,370 --> 00:01:48,850
+elastic collision وقلنا فيها الشرطين أنه إذا كنت
+
+30
+00:01:48,850 --> 00:01:52,050
+متساوي لكينات ال energy متساوي حللنا المعادلتين مع
+
+31
+00:01:52,050 --> 00:01:54,510
+بعض وبعد ما حللنا المعادلتين مع بعض طلعت end
+
+32
+00:01:54,510 --> 00:01:59,910
+المعادلة هدمV1 final وقيمة V2 final جسمين اصطدموا
+
+33
+00:01:59,910 --> 00:02:03,450
+جاي بسرعة معينة هذا و هذا جاي بسرعة معينة اتنين
+
+34
+00:02:03,450 --> 00:02:09,150
+اصطدموا مع تصادم مرهن بعد التصادم صار في عنده اللي
+
+35
+00:02:09,150 --> 00:02:13,050
+هو سرعات نهائية بعد التصادم حسبت السرعات النهائية
+
+36
+00:02:13,050 --> 00:02:17,550
+من المعادلات و طلعت المعادلة هذه و المعادلة هذهحل
+
+37
+00:02:17,550 --> 00:02:20,290
+المعادلة دي بديش احلي عليها دايما انا دايما بحلي
+
+38
+00:02:20,290 --> 00:02:22,510
+علي معادلتين أساسيا اللي هي ال momentum و ال
+
+39
+00:02:22,510 --> 00:02:25,550
+kinetic energy بحط المعادلة خاصة لما يكون الأرقام
+
+40
+00:02:25,550 --> 00:02:30,460
+بيكون حالهم أسهلسهل و بطلع قيمة ال V1 final و V2
+
+41
+00:02:30,460 --> 00:02:34,560
+final لكن هذه للتأكيد قلنا كيف عبارة عن بعد ما
+
+42
+00:02:34,560 --> 00:02:38,760
+حلها لو لاحظت ممكن اكتفها M1 و M2 M1 و M2 M1 و M2
+
+43
+00:02:38,760 --> 00:02:42,400
+M1 و M2 هنا طبعا عارفين انا بدى اجيب ال final
+
+44
+00:02:42,400 --> 00:02:46,280
+بدلالة ال initial ال final بدلالة ال initial هنا
+
+45
+00:02:46,280 --> 00:02:53,840
+عندى V1 initial ببدأ 1 M1-M2 2M2 هنا العكس 2M1هنا
+
+46
+00:02:53,840 --> 00:02:58,160
+بيصير ام اتنين ناقص ام واحد الان بتكلم عن special
+
+47
+00:02:58,160 --> 00:03:03,200
+cases في عندى حالات خاصة اول حالة لما يكون عندى ام
+
+48
+00:03:03,200 --> 00:03:07,240
+واحد بيساوي ام اتنين الكتلتين معاهم متساوية ام
+
+49
+00:03:07,240 --> 00:03:11,760
+واحد بيساوي ام اتنين هذا راح اش
+
+50
+00:03:11,760 --> 00:03:15,720
+بيصير عندى ام واحد بيساوي ام اتنين اتنين ام ام
+
+51
+00:03:15,720 --> 00:03:18,580
+واحد بيساوي ام اتنين اتنين ام بيصير هذا قيمته واحد
+
+52
+00:03:19,480 --> 00:03:23,340
+م1 بيساوي م2 بيصير هذا قيمة و1 ايش بيطلع عنده V1
+
+53
+00:03:23,340 --> 00:03:26,640
+final بيساوي V2 initial V1 final بيساوي V2 initial
+
+54
+00:03:26,640 --> 00:03:31,120
+و V2 final بيساوي V1 initial معادل الأولى و معادل
+
+55
+00:03:31,120 --> 00:03:34,640
+التانية ما هي على عملية تعويض M1 بيساوي M2 بيساوي
+
+56
+00:03:34,640 --> 00:03:41,580
+M عوض عن M1 و M2 بيساوي M و بطلع قيمة V1 final و
+
+57
+00:03:41,580 --> 00:03:51,140
+V2 finalلو كانت M2 ساكنة يعني V2 initial بتساوزو
+
+58
+00:03:51,140 --> 00:03:54,800
+إيش معناها؟ very light يعني تقول لمين، أم اتنين
+
+59
+00:03:54,800 --> 00:03:58,100
+صغيرة جدا تقول للزرع، انا كيلو، اتنين كيلو،
+
+60
+00:03:58,100 --> 00:04:00,520
+بالنسبة لمين؟ بالنسبة، نسبية، كل حاجة طبعا اللي
+
+61
+00:04:00,520 --> 00:04:05,080
+بنتكلم عليها نسبية، و نسبية احنا عارفينها حتى في
+
+62
+00:04:05,080 --> 00:04:10,020
+كل إشي، كل إشي تقاس بالنسبة، بالنسبية، يعني حتى
+
+63
+00:04:10,020 --> 00:04:12,960
+حديث الله صلى الله عليه و سلم يقول سابقة درهم مائة
+
+64
+00:04:12,960 --> 00:04:19,010
+ألف درهمكيف سبقهم؟ نسبية هذا معادل رقمين ننفق واحد
+
+65
+00:04:19,010 --> 00:04:23,010
+و كذلك احنا بنتكلم لما اجيس باجيس بالنسبة للنسبة
+
+66
+00:04:23,010 --> 00:04:27,190
+كأنها في هذه الحالة M2 بالساوية Zero لا تذكر
+
+67
+00:04:27,190 --> 00:04:33,550
+بالنسبة لمين ل M1 مثال عليها اتراك وبسكليت اتراك
+
+68
+00:04:33,550 --> 00:04:38,150
+وكرة الكرة بالنسبة للتراك عشرة طن للتراك مثلا لكن
+
+69
+00:04:38,150 --> 00:04:42,460
+الكرة او البسكليت او عشرة كيلوفي هذه الحالة ايش
+
+70
+00:04:42,460 --> 00:04:48,420
+بيصير عندى لما يصدموا تصادم ايش تصادم marine ايش
+
+71
+00:04:48,420 --> 00:04:51,380
+بيصير؟ طبعا هنافيش تصادم marine انا بقول كحالقة لو
+
+72
+00:04:51,380 --> 00:04:56,580
+في عندى تصادم marine جسم كبير جدا وجسم ماله صغير
+
+73
+00:04:56,580 --> 00:05:00,800
+ايش بيصير عندى؟ طبعا في هذه الحالة نيجي نطلع هنا
+
+74
+00:05:00,800 --> 00:05:07,980
+لاحظوا ام واحد زائد ام اتنين كلهم عشرة طن زائد
+
+75
+00:05:07,980 --> 00:05:13,140
+عشرة كيلو تبقى عشرة طن ام واحدعشرة طول زاد عشرة
+
+76
+00:05:13,140 --> 00:05:16,260
+كيلو بيبقى ام واحد اذا هنا كل المقام كأنه بيصير
+
+77
+00:05:16,260 --> 00:05:22,860
+تقريبا ام واحد ماتغيرش ام واحد اجي عند هنا ام واحد
+
+78
+00:05:22,860 --> 00:05:26,560
+كبير اطرح منه صغير بتغير بيبقى ام واحد عشرة طول
+
+79
+00:05:26,560 --> 00:05:30,860
+ناقص عشرة كيلو بتخس حاجة بتخس حاجة لأ اتنين ام
+
+80
+00:05:30,860 --> 00:05:34,780
+اتنين ام اتنين على ام واحد عشرة على عشرة طول على
+
+81
+00:05:34,780 --> 00:05:40,510
+عشر تلاف كأنها تقول لمين للزيروأما اتنين او واحد
+
+82
+00:05:40,510 --> 00:05:42,250
+او واحد او واحد او واحد او واحد او واحد او واحد او
+
+83
+00:05:42,250 --> 00:05:44,050
+واحد او واحد او واحد او واحد او واحد او واحد او
+
+84
+00:05:44,050 --> 00:05:45,030
+واحد او واحد او واحد او واحد او واحد او واحد او
+
+85
+00:05:45,030 --> 00:05:53,590
+واحد او واحد او واحد او واحد او واحد او واحد او
+
+86
+00:05:53,590 --> 00:05:57,850
+واحد او واحد او واحد او واحد او واحد او واحد او
+
+87
+00:05:57,850 --> 00:05:57,870
+واحد او واحد او واحد او واحد او واحد او واحد او
+
+88
+00:05:57,870 --> 00:05:57,890
+واحد او واحد او واحد او واحد او واحد او واحد او
+
+89
+00:05:57,890 --> 00:06:04,090
+واحد او واحد او واحد او واحد او واحد او
+
+90
+00:06:05,110 --> 00:06:10,590
+اسماله كبير جدا أو ثقيل جدا كتلته كبيرة بالنسبة ل
+
+91
+00:06:10,590 --> 00:06:18,930
+M1 يعني M2 اكبر بكتير من M1 عشان متوقعين حيطة زي
+
+92
+00:06:18,930 --> 00:06:23,710
+هيك او truck واجه واجه بس كله يتخبطه او طب يخبطه
+
+93
+00:06:23,710 --> 00:06:31,920
+ال block بتحرك ال truck بتحرك لأالطب بمقالها او
+
+94
+00:06:31,920 --> 00:06:38,420
+الكورة بتخبط بمقالها و ترتد بنفس السرعة لكن
+
+95
+00:06:38,420 --> 00:06:42,840
+ال truck بتأثر تقريبا سرعته لا تتأثر احتزاز بسيط
+
+96
+00:06:42,840 --> 00:06:47,680
+جدا is very small بتضالها صغيرة جدا بالنسبة لسرعة
+
+97
+00:06:47,680 --> 00:06:51,810
+الكورة و بهمك هذا سرعة الكورةأيش معناها بترتد بنفس
+
+98
+00:06:51,810 --> 00:06:55,930
+السرعة تقريبا لكن في ال elastic كل جمعة تصادم منين
+
+99
+00:06:55,930 --> 00:06:59,830
+لكن سرعة ال truck بتضالها معناها صغيرة جدا تقول
+
+100
+00:06:59,830 --> 00:07:04,730
+لمين لزيرو بنفس الكيفية M2 و M1 مين الأكبر M2 لذا
+
+101
+00:07:04,730 --> 00:07:10,730
+هنا بيصير M2 M2 M2 M2 مين اللي ساكن كان عنده اللي
+
+102
+00:07:10,730 --> 00:07:14,830
+ساكن عنده اللي هو M2 اللي هو V2 initial هذا ساكن
+
+103
+00:07:14,830 --> 00:07:23,240
+بروح بزيرو V2 initial بتروح بزيروبصير عند فقط اللي
+
+104
+00:07:23,240 --> 00:07:30,000
+هو الحد الأول V واحد final بيساوي هات اتنين بيساوي
+
+105
+00:07:30,000 --> 00:07:36,260
+بس عند V واحد initial بس بإشارة معلها سالبة لإن
+
+106
+00:07:36,260 --> 00:07:41,660
+الواحد بتصير إيش معلها عكس يعني عشرة ناقص الف عشرة
+
+107
+00:07:41,660 --> 00:07:45,180
+بيبقى ناقص الف لذا فهذه بيبقى إشارة سالبة إشارة
+
+108
+00:07:45,180 --> 00:07:50,950
+سالبة إيش معناتها ترتدو V2 بالنسبة بتكون صغيرة جدا
+
+109
+00:07:50,950 --> 00:07:55,970
+لان 2 او 1 او 20 كيلو جرام على 10000 صغيرة جدا
+
+110
+00:07:55,970 --> 00:07:59,930
+فبتظل هذا الحد ماله صغير جدا اذا ال V2 final بتظل
+
+111
+00:07:59,930 --> 00:08:05,730
+مالها صغيرة جدا بالنسبة ل V1 initial ناخد مثال على
+
+112
+00:08:05,730 --> 00:08:10,390
+التصادم الملنز يقول في عنده small particle كتلت 2
+
+113
+00:08:10,390 --> 00:08:16,070
+كيلو جرام اصطدم و سرعته V1 initial 12
+
+114
+00:08:20,160 --> 00:08:25,180
+12 متر على السكن و بلوك تاني كتلته اما اتنين كتلته
+
+115
+00:08:25,180 --> 00:08:29,140
+ستة كيلو جرام بتحرك هذا لل left و هذا بتحرك لل
+
+116
+00:08:29,140 --> 00:08:33,380
+right اتنين بصطدموا مع بعض هذا كتلته هذا واحد
+
+117
+00:08:33,380 --> 00:08:37,320
+بتحرك لل left و التاني بتحرك لل right اللي ال
+
+118
+00:08:37,320 --> 00:08:40,440
+right اللي هو اتنين كيلو جرام و هذا ستة كيلو جرام
+
+119
+00:08:40,440 --> 00:08:48,840
+اصطدموا مع بعض هنا اتناشر متر على السكنوهنا تمانية
+
+120
+00:08:48,840 --> 00:08:53,080
+متر على الساكنة الصدمة مع بعض بدي اوجد الورسة
+
+121
+00:08:53,080 --> 00:08:58,430
+after collegeبعد التصادمة حل سهل ما علي العوض عن
+
+122
+00:08:58,430 --> 00:09:02,030
+المعادلة V1 final بيساوي M1 نقصها M2 او اكتب
+
+123
+00:09:02,030 --> 00:09:05,970
+المعادلتين من البداية V initial بيساوي V final و K
+
+124
+00:09:05,970 --> 00:09:10,130
+initial بيساوي K final اذا انا مش حافظ المعادلتين
+
+125
+00:09:10,130 --> 00:09:13,070
+طبعا مانطلبش تحفظها الاصل تبدأ من وين V initial
+
+126
+00:09:13,070 --> 00:09:16,050
+بيساوي V final و K initial بيساوي K final و تحلهم
+
+127
+00:09:16,050 --> 00:09:20,260
+و تصل ل V1 final ع طريق حل المعادلةفي واحد final
+
+128
+00:09:20,260 --> 00:09:24,960
+عوض عن الكتل بقيمهم وعوض عن السرعات بقيمهم اتناشر
+
+129
+00:09:24,960 --> 00:09:29,760
+تمانية بطلع قيمة اللي هي السرعة واحد final ايش
+
+130
+00:09:29,760 --> 00:09:36,060
+مانعتش سرعة واحد final بالسالب مانعتها اتجاه معاكس
+
+131
+00:09:36,060 --> 00:09:42,340
+اتجاه معاكس اذا هنا هترتد هذاكتر الأولى او واحد
+
+132
+00:09:42,340 --> 00:09:46,820
+بنفس الكيفي V2 ال final بدأ يجيب معادلته وعوض عن
+
+133
+00:09:46,820 --> 00:09:49,920
+الكتر بتطلع اتنين متر على الساكن اتنين متر على
+
+134
+00:09:49,920 --> 00:09:54,980
+الساكن بتضالها مالها ماشي بنفس الاتجاه في نفس
+
+135
+00:09:54,980 --> 00:09:58,340
+الاتجاه لو عكس الفرتد بعكس الاتجاه إشارة موجبة لإن
+
+136
+00:09:58,340 --> 00:10:01,760
+هيك الإشارة الموجبة والاتجاه التاني إشارة مالها
+
+137
+00:10:01,760 --> 00:10:05,480
+سالفة بسرعة نهائية قيمتها اتنين متر بيرسكت اذا انا
+
+138
+00:10:05,480 --> 00:10:10,210
+أوجدت سرعتين السرعة الأولىبعد اتصادهم 18 بس
+
+139
+00:10:10,210 --> 00:10:14,350
+الاتجاه المعاكس السرعة التانية 2 متر على ال second
+
+140
+00:10:14,350 --> 00:10:17,970
+برضه في الاتجاه المعاكس بالنسبة للحركة اللي كانت
+
+141
+00:10:17,970 --> 00:10:20,490
+تتحرك فيها هذا كان اتحرك زي هيك اقتد زي هيك وهذا
+
+142
+00:10:20,490 --> 00:10:25,630
+كان اتحرك زي هيك اقتد في الاتجاه المعاكس نخد لنا
+
+143
+00:10:25,630 --> 00:10:37,810
+كمان مثال كمان مثال في عندى Bandol اللي هوبندولين
+
+144
+00:10:37,810 --> 00:10:42,210
+طبعا البندولة عبارة عن كرة مربوطة في خيط و بتحرك و
+
+145
+00:10:42,210 --> 00:10:47,210
+بتهتز الان ربطت الاتنين مع بعض فيها انت كتلته M1 و
+
+146
+00:10:47,210 --> 00:10:53,770
+كتلته M2 M1 هذا بندولة كبيرة بساوي خمسين كيلو جرام
+
+147
+00:10:53,770 --> 00:10:57,050
+و M2 بساوي اتنين كيلو جرام
+
+148
+00:11:01,530 --> 00:11:06,250
+طبعا هذا انطلق هذا الساكن كان V و اتنين initial
+
+149
+00:11:06,250 --> 00:11:10,470
+بتساوزيه طبعا لازم احدد سرعات قبل اذا انا عارفهم و
+
+150
+00:11:10,470 --> 00:11:13,050
+اذا عارف سرعات بعيد لازم احددهم عشان اشوف ايش
+
+151
+00:11:13,050 --> 00:11:16,010
+المطلوب منهم و بعد هيك بشوف ايش المطلوب بحسبه هذا
+
+152
+00:11:16,010 --> 00:11:20,870
+بدأ من السكون V بالساوزيه الان من ارتفاع تلاتة من
+
+153
+00:11:20,870 --> 00:11:25,440
+عشرة متر تلاتين صنطة هينزلالان ايش اللي بيصير عندى
+
+154
+00:11:25,440 --> 00:11:29,920
+تتحول طاقة الوضع لطاقة إيش حركة هنا سرعته بيستوى
+
+155
+00:11:29,920 --> 00:11:32,720
+Zero إذا الكيناتك الكيناتك بيستوى Zero لكن ال
+
+156
+00:11:32,720 --> 00:11:36,760
+potential بيستوى M جي في تلاتة من عشرة اللي هو
+
+157
+00:11:36,760 --> 00:11:40,740
+الارتفاع هنا صارت كلها هذا المستوى الصفري تحولت
+
+158
+00:11:40,740 --> 00:11:44,560
+طاقة الوضع صارت Zero تحولت لطاقة حركة وصار في قد
+
+159
+00:11:44,560 --> 00:11:49,440
+سرعة قبل تصاعدهم في واحد initial بقدر أحسبها من
+
+160
+00:11:49,440 --> 00:11:55,110
+الكيناتك من الكيناتك energyمثلًا عند م1 في GH زائد
+
+161
+00:11:55,110 --> 00:12:00,310
+زيرو fish kinetic energy هنا نص م1 V1 زائد زيرو
+
+162
+00:12:00,310 --> 00:12:03,810
+اللي هو ال potential energy قيمته زيرو من هذه
+
+163
+00:12:03,810 --> 00:12:08,530
+العلاقة بطلع السرعة قبل التصادم للجسم الأول طلعت
+
+164
+00:12:08,530 --> 00:12:11,770
+السرعة طلعت كأنه في عند V1 initial الجسم التاني
+
+165
+00:12:11,770 --> 00:12:19,800
+أجى بسرعة زي هيكة وقيمتها V1 initial بتساوي 2.42و
+
+166
+00:12:19,800 --> 00:12:23,400
+الجسم التاني كان ساكن استضموا مع بعض بده اطلع
+
+167
+00:12:23,400 --> 00:12:26,100
+التصادم، حد ما صار استصادم، بده يشوف نوع التصادم،
+
+168
+00:12:26,100 --> 00:12:29,700
+أيش نوع التصادم؟ marine ولا مش marine؟ ولا
+
+169
+00:12:29,700 --> 00:12:36,560
+inelastic؟ إيش جالي لازم يذكر السؤال؟ خاص إذا بكر،
+
+170
+00:12:36,560 --> 00:12:39,920
+بذكر التصادم المارين، ليش بذكر التصادم المارين؟
+
+171
+00:12:39,920 --> 00:12:45,040
+لأن أكتر التصادمات عبارة عن تصادمات مالها غير
+
+172
+00:12:45,040 --> 00:12:49,310
+marine تصادمات كلها تصادمات غير marineأثر
+
+173
+00:12:49,310 --> 00:12:52,110
+التصادمات غير Marina تصادمات الغازات والذرات
+
+174
+00:12:52,110 --> 00:12:55,310
+ونعتبرها تصادمات ما لها Marina إذا هذه السؤال راح
+
+175
+00:12:55,310 --> 00:12:58,510
+حدد لو قال لي هذا elastic collision مزان elastic
+
+176
+00:12:58,510 --> 00:13:02,850
+collision بدي أخد المعادلات تبعات ال elastic V1
+
+177
+00:13:02,850 --> 00:13:05,890
+final و V2 final أو أقول ال V initial بيساوي V
+
+178
+00:13:05,890 --> 00:13:08,790
+final و ال K initial بيساوي K final أو استخدم
+
+179
+00:13:08,790 --> 00:13:13,030
+المعادلات مباشرة و طلع قيمتهم بعد التعويض ما طلع
+
+180
+00:13:13,030 --> 00:13:17,130
+قيمتهم واحد خمسينبعوض عنه خمسين والتان اتنين و هنا
+
+181
+00:13:17,130 --> 00:13:20,410
+بعوض اتنين و بطلع القيمة هذا كان ساكن بيروح و هذا
+
+182
+00:13:20,410 --> 00:13:25,850
+كان ساكن بيروح و دل هذا الحد بعوض عن قيم اللي انا
+
+183
+00:13:25,850 --> 00:13:29,490
+حسبتها سرعتين و هذه ام واحد واحدة خمسين واحد اتنين
+
+184
+00:13:29,490 --> 00:13:36,190
+و بطلع قيمة السرعتين بعد التصادم لاحظ السرعتين في
+
+185
+00:13:36,190 --> 00:13:41,490
+الاتجاه الموجة الاتنين تحلقوا ايش مع بعض في
+
+186
+00:13:41,490 --> 00:13:47,640
+الاتجاه الموجةإذا و منها بطلع الصورتين قبل .. بعد
+
+187
+00:13:47,640 --> 00:13:54,900
+المطلوب التاني المطلوب التاني اللي هو إيش الارتفاع
+
+188
+00:13:54,900 --> 00:13:59,660
+اللي ما يصدمه؟ بدهم يرتفعوا يعني بمعنى آخر، بده
+
+189
+00:13:59,660 --> 00:14:03,120
+يصير فيه سرعات كل واحد بده يتحرك بهذه السرعة و
+
+190
+00:14:03,120 --> 00:14:07,420
+تتحول السرعة لطاقة هذه الجسمين صار اكتسب كل واحد
+
+191
+00:14:07,420 --> 00:14:09,900
+سرعة، بده يرتفع في هذه السرعة و التاني بده يرتفع
+
+192
+00:14:09,900 --> 00:14:15,110
+فيهابترتفع هدا H1 و هدا H2 يعني بمعنى اخر السرعات
+
+193
+00:14:15,110 --> 00:14:19,270
+بتوصل لأقصر ارتفاع سرعة Zero اقصر ارتفاع سرعة Zero
+
+194
+00:14:19,270 --> 00:14:22,070
+لذا بتتحول طاقة الحركة اللي اكتسبها بعد اتصاده
+
+195
+00:14:22,070 --> 00:14:26,830
+لطاقة وضعه بعد اتصاده انا اسف لطاقة وضعه طاقة
+
+196
+00:14:26,830 --> 00:14:29,730
+الحركة بتتحول لطاقة وضعه لذا في مرحلتين كان
+
+197
+00:14:29,730 --> 00:14:36,490
+المرحلة الأولى هي تحول اللي هو E7 ال E initial
+
+198
+00:14:36,490 --> 00:14:42,560
+يساوي ال E finalمرحلة التصادم مباشرة وبعد تصادم
+
+199
+00:14:42,560 --> 00:14:46,600
+السرعات اللي بيرتدوا فيها او بيبقوا متحرك فيها ايش
+
+200
+00:14:46,600 --> 00:14:51,460
+بيحصل فيها؟ تتحول طاقة الحركة لطاقة الوضع بيرتفع
+
+201
+00:14:51,460 --> 00:14:54,540
+وما سافقتش وبعدين بيرجعوا يصدموا مرة تانية وها
+
+202
+00:14:54,540 --> 00:15:02,180
+كمان اذا التانية هيرتفع وصار عند السرعات معروفةإذا
+
+203
+00:15:02,180 --> 00:15:05,420
+بقدر أقول الـ E initial بساوي ال E final طاقة
+
+204
+00:15:05,420 --> 00:15:08,340
+الوضع طاقة الحركة تحولت لطاقة الوضع او طاقة الحركة
+
+205
+00:15:08,340 --> 00:15:12,460
+للتاني تحولت لطاقة وضع بقدر أحسب ال H في كلا
+
+206
+00:15:12,460 --> 00:15:17,160
+الحالتين بقدر أحسب H واحد وH اتنين وقيمهم موجدش
+
+207
+00:15:17,160 --> 00:15:21,820
+بالساوي بس أنا شايف الرسم فيها المشكلة الأصل
+
+208
+00:15:21,820 --> 00:15:26,080
+التانين مالهم هنا الإشارات بنفس الاتجاه إذا أنا
+
+209
+00:15:26,080 --> 00:15:31,880
+الجسمين هيجوا هنا بس هذا H واحد وتاني H اتنينمش
+
+210
+00:15:31,880 --> 00:15:34,360
+هيرتدوا لو كانت دي إشعار سالب معناته دي إشعار سالب
+
+211
+00:15:34,360 --> 00:15:38,400
+في الاتجاه المعاكس واحدة هيروح زي هيك أو التاني
+
+212
+00:15:38,400 --> 00:15:42,740
+هيرتد لكن هذا أجى خبط و بضله و ماشي زجه بسرعة أكبر
+
+213
+00:15:42,740 --> 00:15:47,680
+و صار يتحرك بسرعة أكبر لجسم الأول هذا و ارتفع أكتر
+
+214
+00:15:47,680 --> 00:15:56,360
+لجسم التاني ارتفع هيرتفع أقل طب
+
+215
+00:15:56,360 --> 00:16:00,020
+نيجي نتكلم عن ال one dimension inelastic collision
+
+216
+00:16:01,030 --> 00:16:03,870
+الوان دايمة inelastic inelastic معناته فيله
+
+217
+00:16:03,870 --> 00:16:07,930
+synergy بس عنده ال momentum ال momentum ماله قبل
+
+218
+00:16:07,930 --> 00:16:11,010
+بيساوي ال momentum ايش بعد و في منه حالة خاصة اللي
+
+219
+00:16:11,010 --> 00:16:15,390
+هي التانية ماله كلها بتحركوا مع بعض لو طرحت ال K
+
+220
+00:16:15,390 --> 00:16:18,850
+initial اللي عبارة عن K طاقة الوضع للجسم الأول زي
+
+221
+00:16:18,850 --> 00:16:25,230
+طاقة الوضع للجسم التاني طاقة الوضعللجسم الأول أسف
+
+222
+00:16:25,230 --> 00:16:27,750
+طاقة الحركة للجسم الأول زي طاقة الحركة للجسم
+
+223
+00:16:27,750 --> 00:16:31,590
+التاني طاقة الحركة للتانين مثلا هذا في ال perfect
+
+224
+00:16:31,590 --> 00:16:35,030
+لإن elastic التانين اتحركوا مع بعض إذن كأنهم كتلة
+
+225
+00:16:35,030 --> 00:16:38,290
+واحدة طاقة الحركة ال final بتساوي نص ام واحد زائد
+
+226
+00:16:38,290 --> 00:16:42,870
+ام اتنين كتلة في ال V final بعد التصادم هذا لو أنا
+
+227
+00:16:42,870 --> 00:16:47,470
+طرحت K initial ناقص ال K final بلاقي EH في loss
+
+228
+00:16:47,470 --> 00:17:00,440
+energy قيمتها جداش القيمة بالجوو بقدر احسبها ناخد
+
+229
+00:17:00,440 --> 00:17:06,000
+مثال عليها مثال سهل بيقول في عنده ارصاصة و خطط جسم
+
+230
+00:17:06,000 --> 00:17:09,940
+طبعا ماحد ماجول ارصاصة اصطدمت في جسم عاملة تشوق في
+
+231
+00:17:09,940 --> 00:17:15,010
+الجسم مباشرة هتقوللي هذا تصادم ماله تصادمغير
+
+232
+00:17:15,010 --> 00:17:20,010
+marine inelastic collision لرصاصها طاني وزنت
+
+233
+00:17:20,010 --> 00:17:25,110
+كتلتها وسرعتها كتلتها عشرين جرام لها الماس M1 بسوء
+
+234
+00:17:25,110 --> 00:17:32,050
+عشرين جرام عشرين جرام يعني من عشرين ألف او اتنين
+
+235
+00:17:32,050 --> 00:17:37,200
+وانمية ال block كتلته اتنين كيلو جرامفدقام اتنين
+
+236
+00:17:37,200 --> 00:17:40,940
+اصطدموا مع بعض و اتنين تحركوا بسرعة مالها final
+
+237
+00:17:40,940 --> 00:17:44,860
+ماعليه الا اطبق القانون P initial بتساوي ال P
+
+238
+00:17:44,860 --> 00:17:48,900
+final P initial ماتنساش ان الجسم الأول التاني كان
+
+239
+00:17:48,900 --> 00:17:52,740
+ساكن اذا الجسم التاني كان ساكن هيو Zero تبقى الجسم
+
+240
+00:17:52,740 --> 00:17:56,580
+الأول اللي هي الرصاصة كتلتها في سرعتها بساوي
+
+241
+00:17:56,580 --> 00:18:00,020
+الكتلة الأولى زائد الكتلة التانية في السرعة
+
+242
+00:18:00,020 --> 00:18:04,940
+النهائية وطلع السرعة النهائية جدشكمتهاجال يقدش ال
+
+243
+00:18:04,940 --> 00:18:08,340
+loss energy loss قايمة ال K energy جداش الفقد في
+
+244
+00:18:08,340 --> 00:18:11,260
+طاقة الحركة بتحسبها بتجيب ال K initial جداش قيمتها
+
+245
+00:18:11,260 --> 00:18:15,760
+و ال K final مالساش ان هذا مالكش سرعة بطلع عنده هي
+
+246
+00:18:15,760 --> 00:18:19,780
+قيمتها وهي قيمة بعد التصادم بلقى فيه loss energy و
+
+247
+00:18:19,780 --> 00:18:25,900
+قيمتها كبيرة جدا نتيجة تشوّم الجسم بقدر احدد قيمة
+
+248
+00:18:25,900 --> 00:18:32,080
+ال loss energy نقض كمان مثال مثال
+
+249
+00:18:32,080 --> 00:18:38,280
+التانياللي هو نفس الاشة اندي ارصاصها استضمت في
+
+250
+00:18:38,280 --> 00:18:46,160
+بلوك معلق بحبل على شكل زي البندوت استضمت
+
+251
+00:18:46,160 --> 00:18:52,140
+في بلوك واتحركوا التينين مع بعض بسرعة وارتفعوا
+
+252
+00:18:52,140 --> 00:18:59,700
+مسافة H هذه المسافة الـH اعطانيها خمسة سنتمتر إذا
+
+253
+00:18:59,700 --> 00:19:04,760
+الميزان خمسة سنتمترعنده في هذه الحالة سرعة وصله
+
+254
+00:19:04,760 --> 00:19:08,480
+لأقصر تفاعزان سرعة نهائية جداش بالساوية Zero كان
+
+255
+00:19:08,480 --> 00:19:13,380
+من مرحلة عندي مرحلتين الرصاصة ماشية اصطدمت في
+
+256
+00:19:13,380 --> 00:19:17,760
+الجسم لذلك هنا فيه collision في تصادم بعد ال
+
+257
+00:19:17,760 --> 00:19:22,740
+collision في عند هنا اللي هو ال energy E initial
+
+258
+00:19:22,740 --> 00:19:29,490
+بتساوي ال E finalالـ E initial عبارة عن كتلة الجسم
+
+259
+00:19:29,490 --> 00:19:33,170
+الأول زائد الكتلة الجسم التاني والتانية انتحركوا
+
+260
+00:19:33,170 --> 00:19:37,010
+بسرعة قيمتها V1 في عينهالذن سرعة الاتنين اتحرك و
+
+261
+00:19:37,010 --> 00:19:41,250
+الرصاصة خبطت في الجسم خبطت في ال block و دخلت داخل
+
+262
+00:19:41,250 --> 00:19:44,850
+ال block و الاتنين معاهم ماشوا بسرعة نهائية اذا
+
+263
+00:19:44,850 --> 00:19:48,910
+بدأوا ال M1 في V1 initial سرعة الرصاصة في كتلتها
+
+264
+00:19:48,910 --> 00:19:53,970
+كتلت ال block في سرعته بالساوة Zero اتنين تحركوا
+
+265
+00:19:53,970 --> 00:19:57,030
+مع بعض كجسم واحد M1 زي ما افعلت M2 في ال V final
+
+266
+00:19:57,030 --> 00:20:01,150
+بقدر اطلع قيمة ال V final الآن ال V final هي الجسم
+
+267
+00:20:02,990 --> 00:20:07,130
+معلق بحبل في عنده سرعة بتحرك فيها زي جهته زي هيك
+
+268
+00:20:07,130 --> 00:20:11,370
+ايش بده يعمل بده يرتفع نفسه في H جداش ال H
+
+269
+00:20:11,370 --> 00:20:17,910
+اعطانيها ال H انا بحسبها و بطلع قيمتها آسف
+
+270
+00:20:17,910 --> 00:20:21,290
+اعطانيها القدش قيمتها خمس سنتمتر اذا بقدر اقول كل
+
+271
+00:20:21,290 --> 00:20:25,930
+بطاقة اللي عنده طاقة حركة طاقة واطعة قيمتها M J في
+
+272
+00:20:25,930 --> 00:20:29,510
+خمسة في عشرة أساليب اتنين ليش العشرة أساليب اتنين
+
+273
+00:20:29,510 --> 00:20:35,190
+تحويل من سنتمتر لمتروهذه M1 زي M2 لأن الاتنين تحرك
+
+274
+00:20:35,190 --> 00:20:40,490
+ككتلة واحدة ايش بتساوي هذا ال E final وهذا ال E
+
+275
+00:20:40,490 --> 00:20:46,990
+initial نص M1 زي M2 اتنين طلقوا بسرعة V هذه السرعة
+
+276
+00:20:46,990 --> 00:20:52,730
+هي final لاتصادم E initial لمن؟ للطاقة هذه ال V
+
+277
+00:20:52,730 --> 00:21:00,510
+final لاتصادم لذا هذه ال V final طلعت قيمتهابقى
+
+278
+00:21:00,510 --> 00:21:04,690
+لما طلعت قيمتها بعوض عنها هنا بحسب ال V1 initial
+
+279
+00:21:04,690 --> 00:21:07,510
+المطلوب بحسابه ال loss energy طبعا عارفين ال loss
+
+280
+00:21:07,510 --> 00:21:11,090
+energy في اتصادهم اللي هو بدي أجيب ال K initial و
+
+281
+00:21:11,090 --> 00:21:15,030
+أجيب ال K final و أتراحهم من بعض بطلع عندي قيمة ال
+
+282
+00:21:15,030 --> 00:21:20,170
+loss energy و بحدد قيمتها جديش اعطيكم العافية
+
+283
+00:21:20,170 --> 00:21:22,310
+للمحاضرة الجاي ان شاء الله بنكمل
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/b2ILWcq273U_raw.json b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/b2ILWcq273U_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..ec42a4e18f1f81cb85b8a065d844ee03085f42e8
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/b2ILWcq273U_raw.json
@@ -0,0 +1 @@
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[2407, 3224, 24192, 376, 16, 30767, 1829, 376, 17, 5296, 33456, 2423, 9307, 1863, 9957, 6055, 5016, 31747, 9122, 4117, 2655, 37977, 36764, 24401, 3660, 1975, 1829, 8592, 39894, 3794, 995, 45865, 23758, 2423, 462, 2572, 37037, 15730, 2423, 462, 5883, 8717, 9381, 376, 16, 30767, 1829, 376, 17, 1975, 2655, 1863, 9957, 23032, 1211, 4587, 14407, 4724, 3794, 2288, 27884, 691, 29538, 21136, 2288, 27884, 39896, 2572, 5296, 9307, 9381, 18513, 2304, 462, 5883, 5296, 27842, 22807, 24976, 9566, 995, 28671, 29538, 2423, 691, 2572, 5296, 9307, 9381, 18513, 2304, 5296, 15730, 29538, 2423, 691, 2572, 23032, 1211, 34268, 12174, 32640, 2655, 11296], "avg_logprob": -0.2083333310626802, "compression_ratio": 1.8272251308900525, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 1231.89, "end": 1232.37, "word": "وهذه", "probability": 0.555419921875}, {"start": 1232.37, "end": 1232.87, "word": " M1", "probability": 0.76611328125}, {"start": 1232.87, "end": 1233.19, "word": " زي", "probability": 0.44818115234375}, {"start": 1233.19, "end": 1234.01, "word": " M2", "probability": 0.941650390625}, {"start": 1234.01, "end": 1234.51, "word": " لأن", "probability": 0.696533203125}, {"start": 1234.51, "end": 1234.79, "word": " الاتنين", "probability": 0.6961669921875}, {"start": 1234.79, "end": 1235.19, "word": " تحرك", "probability": 0.880859375}, {"start": 1235.19, "end": 1235.53, "word": " ككتلة", "probability": 0.8909912109375}, {"start": 1235.53, "end": 1236.07, "word": " واحدة", "probability": 0.9694010416666666}, {"start": 1236.07, "end": 1236.77, "word": " ايش", "probability": 0.6914876302083334}, {"start": 1236.77, "end": 1237.31, "word": " بتساوي", "probability": 0.927978515625}, {"start": 1237.31, "end": 1238.69, "word": " هذا", "probability": 0.681640625}, {"start": 1238.69, "end": 1238.81, "word": " ال", "probability": 0.8544921875}, {"start": 1238.81, "end": 1238.93, "word": " E", "probability": 0.76513671875}, {"start": 1238.93, "end": 1239.73, "word": " final", "probability": 0.445068359375}, {"start": 1239.73, "end": 1240.09, "word": " وهذا", "probability": 0.5733642578125}, {"start": 1240.09, "end": 1240.39, "word": " ال", "probability": 0.9697265625}, {"start": 1240.39, "end": 1240.49, "word": " E", "probability": 0.7744140625}, {"start": 1240.49, "end": 1240.85, "word": " initial", "probability": 0.716796875}, {"start": 1240.85, "end": 1241.43, "word": " نص", "probability": 0.97265625}, {"start": 1241.43, "end": 1242.47, "word": " M1", "probability": 0.890625}, {"start": 1242.47, "end": 1242.83, "word": " زي", "probability": 0.899169921875}, {"start": 1242.83, "end": 1243.47, "word": " M2", "probability": 0.989990234375}, {"start": 1243.47, "end": 1244.51, "word": " اتنين", "probability": 0.772216796875}, {"start": 1244.51, "end": 1245.01, "word": " طلقوا", "probability": 0.8792724609375}, {"start": 1245.01, "end": 1245.51, "word": " بسرعة", "probability": 0.95458984375}, {"start": 1245.51, "end": 1245.73, "word": " V", "probability": 0.9169921875}, {"start": 1245.73, "end": 1246.57, "word": " هذه", "probability": 0.7451171875}, {"start": 1246.57, "end": 1246.99, "word": " السرعة", "probability": 0.9749348958333334}, {"start": 1246.99, "end": 1247.23, "word": " هي", "probability": 0.873046875}, {"start": 1247.23, "end": 1247.99, "word": " final", "probability": 0.79150390625}, {"start": 1247.99, "end": 1249.21, "word": " لاتصادم", "probability": 0.82841796875}, {"start": 1249.21, "end": 1249.37, "word": " E", "probability": 0.79931640625}, {"start": 1249.37, "end": 1249.75, "word": " initial", "probability": 0.87548828125}, {"start": 1249.75, "end": 1250.29, "word": " لمن؟", "probability": 0.70068359375}, {"start": 1250.29, "end": 1251.23, "word": " للطاقة", "probability": 0.958251953125}, {"start": 1251.23, "end": 1252.35, "word": " هذه", "probability": 0.595703125}, {"start": 1252.35, "end": 1252.55, "word": " ال", "probability": 0.857421875}, {"start": 1252.55, "end": 1252.73, "word": " V", "probability": 0.8779296875}, {"start": 1252.73, "end": 1253.71, "word": " final", "probability": 0.64990234375}, {"start": 1253.71, "end": 1254.71, "word": " لاتصادم", "probability": 0.95302734375}, {"start": 1254.71, "end": 1255.43, "word": " لذا", "probability": 0.5145263671875}, {"start": 1255.43, "end": 1255.71, "word": " هذه", "probability": 0.67529296875}, {"start": 1255.71, "end": 1255.85, "word": " ال", "probability": 0.8662109375}, {"start": 1255.85, "end": 1255.95, "word": " V", "probability": 0.962890625}, {"start": 1255.95, "end": 1256.45, "word": " final", "probability": 0.92724609375}, {"start": 1256.45, "end": 1257.73, "word": " طلعت", "probability": 0.9820963541666666}, {"start": 1257.73, "end": 1258.27, "word": " قيمتها", "probability": 0.9942626953125}], "temperature": 1.0}, {"id": 53, "seek": 128231, "start": 1260.19, "end": 1282.31, "text": "بقى لما طلعت قيمتها بعوض عنها هنا بحسب ال V1 initial المطلوب بحسابه ال loss energy طبعا عارفين ال loss energy في اتصادهم اللي هو بدي أجيب ال K initial و أجيب ال K final و أتراحهم من بعض بطلع عندي قيمة ال loss energy و بحدد قيمتها جديش اعطيكم العافية للمحاضرة الجاي ان شاء الله بنكمل", "tokens": [3555, 4587, 7578, 5296, 15042, 23032, 1211, 34268, 12174, 32640, 2655, 11296, 45030, 2407, 11242, 18871, 11296, 34105, 4724, 5016, 35457, 2423, 691, 16, 5883, 9673, 9566, 1211, 37746, 4724, 5016, 3794, 16758, 3224, 2423, 4470, 2281, 23032, 3555, 3615, 995, 6225, 9640, 5172, 9957, 2423, 4470, 2281, 8978, 1975, 2655, 9381, 18513, 16095, 13672, 1829, 31439, 4724, 16254, 5551, 7435, 1829, 3555, 2423, 591, 5883, 4032, 5551, 7435, 1829, 3555, 2423, 591, 2572, 4032, 5551, 2655, 23557, 5016, 16095, 9154, 45030, 11242, 4724, 9566, 1211, 3615, 18871, 16254, 12174, 32640, 3660, 2423, 4470, 2281, 4032, 4724, 24401, 3215, 12174, 32640, 2655, 11296, 10874, 16254, 8592, 1975, 3615, 9566, 1829, 24793, 18863, 31845, 10632, 5296, 19528, 5016, 46958, 25720, 25724, 47302, 16472, 13412, 16606, 21984, 44945, 24793, 1211], "avg_logprob": -0.20397286821705427, "compression_ratio": 1.8571428571428572, "no_speech_prob": 1.0728836059570312e-06, "words": [{"start": 1260.19, "end": 1260.51, "word": "بقى", "probability": 0.7027994791666666}, {"start": 1260.51, "end": 1260.61, "word": " لما", "probability": 0.894775390625}, {"start": 1260.61, "end": 1260.93, "word": " طلعت", "probability": 0.912109375}, {"start": 1260.93, "end": 1261.29, "word": " قيمتها", "probability": 0.9810791015625}, {"start": 1261.29, "end": 1261.89, "word": " بعوض", "probability": 0.7337239583333334}, {"start": 1261.89, "end": 1262.19, "word": " عنها", "probability": 0.98388671875}, {"start": 1262.19, "end": 1262.53, "word": " هنا", "probability": 0.93310546875}, {"start": 1262.53, "end": 1263.57, "word": " بحسب", "probability": 0.9114583333333334}, {"start": 1263.57, "end": 1263.73, "word": " ال", "probability": 0.9111328125}, {"start": 1263.73, "end": 1264.21, "word": " V1", "probability": 0.769287109375}, {"start": 1264.21, "end": 1264.69, "word": " initial", "probability": 0.529296875}, {"start": 1264.69, "end": 1265.25, "word": " المطلوب", "probability": 0.9317626953125}, {"start": 1265.25, "end": 1265.97, "word": " بحسابه", "probability": 0.80166015625}, {"start": 1265.97, "end": 1266.15, "word": " ال", "probability": 0.7939453125}, {"start": 1266.15, "end": 1266.31, "word": " loss", "probability": 0.88623046875}, {"start": 1266.31, "end": 1266.67, "word": " energy", "probability": 0.8779296875}, {"start": 1266.67, "end": 1266.97, "word": " طبعا", "probability": 0.9420166015625}, {"start": 1266.97, "end": 1267.25, "word": " عارفين", "probability": 0.82177734375}, {"start": 1267.25, "end": 1267.35, "word": " ال", "probability": 0.7509765625}, {"start": 1267.35, "end": 1267.51, "word": " loss", "probability": 0.94873046875}, {"start": 1267.51, "end": 1267.81, "word": " energy", "probability": 0.955078125}, {"start": 1267.81, "end": 1267.99, "word": " في", "probability": 0.72216796875}, {"start": 1267.99, "end": 1268.53, "word": " اتصادهم", "probability": 0.8890625}, {"start": 1268.53, "end": 1269.21, "word": " اللي", "probability": 0.936767578125}, {"start": 1269.21, "end": 1269.33, "word": " هو", "probability": 0.978515625}, {"start": 1269.33, "end": 1269.59, "word": " بدي", "probability": 0.5308837890625}, {"start": 1269.59, "end": 1269.81, "word": " أجيب", "probability": 0.8466796875}, {"start": 1269.81, "end": 1269.93, "word": " ال", "probability": 0.8564453125}, {"start": 1269.93, "end": 1270.03, "word": " K", "probability": 0.71533203125}, {"start": 1270.03, "end": 1270.41, "word": " initial", "probability": 0.861328125}, {"start": 1270.41, "end": 1271.09, "word": " و", "probability": 0.89111328125}, {"start": 1271.09, "end": 1271.29, "word": " أجيب", "probability": 0.8956298828125}, {"start": 1271.29, "end": 1271.41, "word": " ال", "probability": 0.93896484375}, {"start": 1271.41, "end": 1271.53, "word": " K", "probability": 0.94189453125}, {"start": 1271.53, "end": 1271.99, "word": " final", "probability": 0.89794921875}, {"start": 1271.99, "end": 1272.43, "word": " و", "probability": 0.8125}, {"start": 1272.43, "end": 1272.83, "word": " أتراحهم", "probability": 0.73701171875}, {"start": 1272.83, "end": 1272.97, "word": " من", "probability": 0.8447265625}, {"start": 1272.97, "end": 1273.39, "word": " بعض", "probability": 0.98974609375}, {"start": 1273.39, "end": 1274.25, "word": " بطلع", "probability": 0.8377685546875}, {"start": 1274.25, "end": 1274.49, "word": " عندي", "probability": 0.697265625}, {"start": 1274.49, "end": 1274.89, "word": " قيمة", "probability": 0.9962565104166666}, {"start": 1274.89, "end": 1275.03, "word": " ال", "probability": 0.8896484375}, {"start": 1275.03, "end": 1275.35, "word": " loss", "probability": 0.9267578125}, {"start": 1275.35, "end": 1276.09, "word": " energy", "probability": 0.95703125}, {"start": 1276.09, "end": 1277.01, "word": " و", "probability": 0.5771484375}, {"start": 1277.01, "end": 1277.55, "word": " بحدد", "probability": 0.9656575520833334}, {"start": 1277.55, "end": 1278.15, "word": " قيمتها", "probability": 0.9915771484375}, {"start": 1278.15, "end": 1278.69, "word": " جديش", "probability": 0.6099446614583334}, {"start": 1278.69, "end": 1279.83, "word": " اعطيكم", "probability": 0.68232421875}, {"start": 1279.83, "end": 1280.17, "word": " العافية", "probability": 0.9189453125}, {"start": 1280.17, "end": 1280.57, "word": " للمحاضرة", "probability": 0.82353515625}, {"start": 1280.57, "end": 1280.81, "word": " الجاي", "probability": 0.419677734375}, {"start": 1280.81, "end": 1280.91, "word": " ان", "probability": 0.7958984375}, {"start": 1280.91, "end": 1281.15, "word": " شاء", "probability": 0.8681640625}, {"start": 1281.15, "end": 1281.25, "word": " الله", "probability": 0.955078125}, {"start": 1281.25, "end": 1282.31, "word": " بنكمل", "probability": 0.8953450520833334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1282.8793125, "duration_after_vad": 1238.3293749999991}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/eR85o6_cAJc_postprocess.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/eR85o6_cAJc_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..3cc7e1d887c071301649c91d5fffd9c31921b181
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/eR85o6_cAJc_postprocess.srt
@@ -0,0 +1,1180 @@
+1
+00:00:05,550 --> 00:00:07,230
+السلام عليكم و رحمة الله و بركاتكم العافية ان شاء
+
+2
+00:00:07,230 --> 00:00:11,870
+الله اليوم نكمل في شبتر سبعة طبعا شبتر سبعة قلنا
+
+3
+00:00:11,870 --> 00:00:14,790
+احنا اول حاجة أعرفنا فيه ال conservative و ال non
+
+4
+00:00:14,790 --> 00:00:18,630
+conservative force و بعدين اتكلمنا عن ال potential
+
+5
+00:00:18,630 --> 00:00:24,030
+energy و حسبنا ال potential energy ل gravity اليوم
+
+6
+00:00:24,030 --> 00:00:28,550
+و أخدنا مثال و قلنا ال delta u بقدر احسبها من أي
+
+7
+00:00:28,550 --> 00:00:31,730
+level انا بدي اياه لكن ال u بتعتمد على ال level
+
+8
+00:00:31,730 --> 00:00:35,990
+الصفر اللي انا ماخدههو زي ما قولنا ال level الصفر
+
+9
+00:00:35,990 --> 00:00:39,050
+هو الطاولة أو الأرض وفي جسم عنده هنا level الصفر
+
+10
+00:00:39,050 --> 00:00:43,290
+مختلف تأثيره بالنسبة للطاولة يختلف تأثير الجسم
+
+11
+00:00:43,290 --> 00:00:47,510
+بالنسبة لمن للأرض اليوم بتتكلم عن potential energy
+
+12
+00:00:47,510 --> 00:00:51,690
+of the spring احنا متفقين من البداية ان ال work لا
+
+13
+00:00:51,690 --> 00:00:55,370
+ال force لا ال spring هي conservative force ال
+
+14
+00:00:55,370 --> 00:00:59,840
+work لا ال springالـ work للـ conservative force
+
+15
+00:00:59,840 --> 00:01:05,180
+للـ spring force إيش بتساوي نص كي x initial square
+
+16
+00:01:05,180 --> 00:01:12,220
+ناقص x final square هاي ال work لل spring الان لو
+
+17
+00:01:12,220 --> 00:01:16,920
+قلت أنا بدأ الجسم من x initial بتساوي 0 زنبراك
+
+18
+00:01:16,920 --> 00:01:22,560
+بغطه أو زنبراك سحبته إذا ال x initial بتساوي أكام؟
+
+19
+00:01:22,560 --> 00:01:33,110
+Zero إذا ال work لل springبيساوى سالب نص KX تربيع
+
+20
+00:01:33,110 --> 00:01:39,470
+spring ضغطه او سحبته صار في اندي work من ال spring
+
+21
+00:01:39,470 --> 00:01:47,430
+او من قوة ال spring ال U لل spring بتساوي 7 عكس مش
+
+22
+00:01:47,430 --> 00:01:52,380
+احنا خلنا ال WSwork and conservative force
+
+23
+00:01:52,380 --> 00:01:55,480
+الاختلاف كان بإشارة أشمالهم إشارة سالب إذا بقول هو
+
+24
+00:01:55,480 --> 00:02:01,980
+نص K X تربية الاختلاف بين الشغل و ال Delta U
+
+25
+00:02:01,980 --> 00:02:07,380
+بتساوي Zero ال Zero level عندي إيه أشماله ال
+
+26
+00:02:07,380 --> 00:02:10,380
+equilibrium position ال Zero level equilibrium
+
+27
+00:02:10,380 --> 00:02:14,660
+position إذا أنا بقدر أقول Delta U كمان مرة ال
+
+28
+00:02:14,660 --> 00:02:17,160
+work و ال conservative force بتساوي سالب Delta U
+
+29
+00:02:18,310 --> 00:02:23,170
+بتساوي سالب U final ناقص U initial و ال work
+
+30
+00:02:23,170 --> 00:02:28,350
+conservative اللي هو ال spring سالب نص K X تربيع
+
+31
+00:02:28,350 --> 00:02:31,890
+ساوي U initial Zero لمستوى الصفر هو ال equilibrium
+
+32
+00:02:31,890 --> 00:02:36,390
+position سالب U final سالب مع سالب بتروح U final
+
+33
+00:02:36,390 --> 00:02:42,110
+ال U لل spring بتساوي نص K X تربيعالـ Potential
+
+34
+00:02:42,110 --> 00:02:47,630
+energy of the spring is zero يكون زيروين عند ال
+
+35
+00:02:47,630 --> 00:02:50,950
+equilibrium position أو ال equilibrium point نقطة
+
+36
+00:02:50,950 --> 00:02:55,190
+الاتذان يعني اناسي زمبارك لا مسحوب ولا مفروض ولا
+
+37
+00:02:55,190 --> 00:03:01,210
+مضغوطيقول ال spring always positive يعني كان ضغطه
+
+38
+00:03:01,210 --> 00:03:06,190
+او سحبته في كل الحالتين تخزين الطاقة فيه لذا لما
+
+39
+00:03:06,190 --> 00:03:11,270
+ضغطه بحط الجسم عليه برم الجسم كمان اسحب وزي اشف
+
+40
+00:03:11,270 --> 00:03:14,110
+الدنيا مثلا بتلاقي اشف برم الجسم لذا في كل
+
+41
+00:03:14,110 --> 00:03:19,590
+الحالتينالوارق لل spring .. آسف ال potential is
+
+42
+00:03:19,590 --> 00:03:23,950
+always positive لأن هنا في عندي x تربيع ربع الموجب
+
+43
+00:03:23,950 --> 00:03:27,590
+أو السالب يعني اضغطه و ربع سالب تلاتة سانت مثلا
+
+44
+00:03:27,590 --> 00:03:31,810
+ربيحها السالب بتروح اسحبه تلاتة سانت و ربيحها فيش
+
+45
+00:03:31,810 --> 00:03:38,130
+سالب لذن دائما ماله positive لذن لولا ال spring
+
+46
+00:03:38,130 --> 00:03:43,630
+دائما مالها positive مانساش مقطة مهم جدا بتحكوا
+
+47
+00:03:43,630 --> 00:03:52,150
+اعرفهااليوم بنتكلم عن اللي هي ال conservation of
+
+48
+00:03:52,150 --> 00:03:58,550
+mechanical energy اللي هي قانون بقاء الطاقة اللي
+
+49
+00:03:58,550 --> 00:04:00,930
+انتوا بتسموه دايما بقاء الطاقة لاتفنه ولا تستحته
+
+50
+00:04:00,930 --> 00:04:05,370
+من العدم ال mechanical energy ما لها قبل لازم
+
+51
+00:04:05,370 --> 00:04:09,270
+يتساوي بعد إذا كان في conservative force لكن non
+
+52
+00:04:09,270 --> 00:04:12,470
+conservative force بتلاقي إيش في جزء من الطاقة
+
+53
+00:04:12,470 --> 00:04:17,970
+بيروح خلال الاحتكافإذا أخدنا ال work net في شفتر
+
+54
+00:04:17,970 --> 00:04:23,770
+ستة نهاية شفتر ستة لما حسبنا ال work net بتساوي ال
+
+55
+00:04:23,770 --> 00:04:26,310
+work من القوة الأولى زاد ال work من التانية زاد
+
+56
+00:04:26,310 --> 00:04:29,710
+زاد زاد و حسبنا ال work net و طلع بيساوي جديش
+
+57
+00:04:29,710 --> 00:04:35,950
+Delta K اللي هو بتساوي K final ناقص K initial تغير
+
+58
+00:04:35,950 --> 00:04:42,250
+في طاقت الوضع اليوم ال work net إذا كان جميع القوة
+
+59
+00:04:42,250 --> 00:04:47,150
+conservativeConservative force يعني ال work net
+
+60
+00:04:47,150 --> 00:04:50,750
+للكونزيرفاتيف فورس تبعنا جميع الاخوان conservative
+
+61
+00:04:50,750 --> 00:04:55,850
+force تساوي سالب Delta U من واحد و اتنين اذا
+
+62
+00:04:55,850 --> 00:05:03,390
+كونزيرفاتيف فورس ايش بيصير عندى Delta K تساوي سالب
+
+63
+00:05:03,390 --> 00:05:11,480
+Delta U يعني بمعنى اخر Delta Kزائد Delta U بتساوي
+
+64
+00:05:11,480 --> 00:05:18,360
+Zero يعني بمعنى أخر K Final ناقص K initial زائد U
+
+65
+00:05:18,360 --> 00:05:23,620
+Final ناقص U initial بتساوي Zero خد ال U Final
+
+66
+00:05:23,620 --> 00:05:33,800
+يعني E Final U Final زائد K Final ناقص U initial
+
+67
+00:05:33,800 --> 00:05:40,160
+زائد K initial بتساوي Zero هذه E Finalوهذه E
+
+68
+00:05:40,160 --> 00:05:46,720
+initial بيساوي 0 يعني بمعنى اخر ال E final بتساوي
+
+69
+00:05:46,720 --> 00:05:51,020
+ال E initial طاقة قبل mechanical energy الطاقة قبل
+
+70
+00:05:51,020 --> 00:05:55,740
+بتساوي الطاقة بعد اذا ال E هي عبارة عن ايش ال
+
+71
+00:05:55,740 --> 00:05:58,600
+mechanical energy بتتكون حاجتين طاقة وضع وطاقة
+
+72
+00:05:58,600 --> 00:06:02,300
+حركة يعني بمعنى اخر اللي زمان كنتوا تاخدوها ان
+
+73
+00:06:02,300 --> 00:06:04,940
+طاقة الوضع بتتحول لطاقة حركة وطاقة الحركة بتتحول
+
+74
+00:06:04,940 --> 00:06:10,040
+لطاقة وضع حيث جسم اسقط من فوق طاقة وضع بنزلبتقل
+
+75
+00:06:10,040 --> 00:06:12,940
+طاقة الوضع بيصير طاقة أيش حركة تصل لل level الصفر
+
+76
+00:06:12,940 --> 00:06:17,300
+يكون طاقة الوضع صارت zero و طاقة الحركة أيش
+
+77
+00:06:17,300 --> 00:06:20,640
+maximum لكن في كل الحالات الطاقة هنا قيمتها خمس
+
+78
+00:06:20,640 --> 00:06:23,720
+جول هنا خمس جول هنا خمس جول هنا خمس جول تتغيرش
+
+79
+00:06:24,290 --> 00:06:28,210
+قيمتها ثابتة قبل وبعد يعني ال E final بيساوي ال E
+
+80
+00:06:28,210 --> 00:06:30,770
+initial عند أي منطقة بشرط ان يكون عندي
+
+81
+00:06:30,770 --> 00:06:32,850
+conservative force طب لو ماكانش في conservative
+
+82
+00:06:32,850 --> 00:06:36,650
+force في عندي جزء بينهم في فرق بينهم يعني ال E
+
+83
+00:06:36,650 --> 00:06:41,330
+final لا يساوي ال E initial لو طرحتهم من بعض هي
+
+84
+00:06:41,330 --> 00:06:43,750
+اللي بيطلع ال work الناشئ من non conservative
+
+85
+00:06:43,750 --> 00:06:46,990
+force إذا بقدر أقول ال work non conservative force
+
+86
+00:06:46,990 --> 00:06:50,750
+بيساوي ال E final هناخدها كمان شوية ال work non
+
+87
+00:06:50,750 --> 00:06:55,610
+conservative force هي الفرقe final ناقص e initial
+
+88
+00:06:55,610 --> 00:06:59,870
+ناخد
+
+89
+00:06:59,870 --> 00:07:02,270
+مثال على ال conservative force احنا عارفين المثال
+
+90
+00:07:02,270 --> 00:07:06,590
+اللي هو ال gravity جسم سقط زي ما قلت الآن من
+
+91
+00:07:06,590 --> 00:07:10,610
+ارتفاع عشرة متر وصل لاربع متر و بعدين وصل لمستوى
+
+92
+00:07:10,610 --> 00:07:16,470
+الصفر بدأ يقول في الحالة الأولى الموضوع هنا سرعته
+
+93
+00:07:16,470 --> 00:07:23,410
+بالساوة zero ارتفاع عشرة متر إذا كألهبساوة زيو كي
+
+94
+00:07:23,410 --> 00:07:28,150
+عند النقطة A اللي هي initial U له عند النقطة A
+
+95
+00:07:28,150 --> 00:07:31,870
+بساوية جداش ال U هاي المستوى الصفر اذا انا اول
+
+96
+00:07:31,870 --> 00:07:33,950
+حاجة بتحدد المستوى ايه هي الصفر اللي انا مانديش
+
+97
+00:07:33,950 --> 00:07:39,610
+اتعمل عليه U initial بتساوية MG في العشرة متر في
+
+98
+00:07:39,610 --> 00:07:47,110
+الارتفاع اللي انا عنده الأربعة متر هنا عنده كيعند
+
+99
+00:07:47,110 --> 00:07:51,630
+النقطة B بالساوية ايش ال K طاقة حركة نص M V عند
+
+100
+00:07:51,630 --> 00:07:57,950
+النقطة B تربيع U عند النقطة B MG في الأربعة متر
+
+101
+00:07:57,950 --> 00:08:03,110
+هنا KB
+
+102
+00:08:03,110 --> 00:08:09,730
+هو maximum بالساوية نص M V عند النقطة C square U
+
+103
+00:08:09,730 --> 00:08:17,880
+عند ال C بالساوية كم؟ بساوية Zeroوصل للمستوى الصفر
+
+104
+00:08:17,880 --> 00:08:24,820
+الان ما علي احسب ال speed ده block عند ال 4 متر
+
+105
+00:08:24,820 --> 00:08:30,500
+عند النقطة B هاد ال E عند النقطة A و هاد ال E عند
+
+106
+00:08:30,500 --> 00:08:34,180
+النقطة B و هاد ال E عند النقطة C E عند النقطة A
+
+107
+00:08:34,180 --> 00:08:37,580
+بيساوي E عند النقطة B و E عند النقطة A بيساوي E
+
+108
+00:08:37,580 --> 00:08:40,140
+عند النقطة C و E عند النقطة B بيساوي E عند النقطة
+
+109
+00:08:40,140 --> 00:08:42,920
+C كلهم متساويات لأنه في الشيء 9 conservative force
+
+110
+00:08:44,810 --> 00:08:49,670
+Ka هي قيمتها بالساوية Zero زائد Ua هي قيمتها MG في
+
+111
+00:08:49,670 --> 00:08:57,550
+العشرة متر بتساوية UB هي MG في الأربعة متر زائد نص
+
+112
+00:08:57,550 --> 00:09:04,170
+MV عند النقطة B تربية الام ممكن تخسرهم مع بعض كلهم
+
+113
+00:09:04,170 --> 00:09:08,430
+وبطلع قيمة ال V بعد ما تنجل هذا على الطرف التاني
+
+114
+00:09:08,430 --> 00:09:11,610
+2G في A شفاتيةطب لو أخدت المستوى هنا بدأ أقول
+
+115
+00:09:11,610 --> 00:09:15,110
+مراحبة لو أخدت المستوى الصفر هنا هل بتغير الحل
+
+116
+00:09:15,110 --> 00:09:24,010
+بيصير U هنا قيمتها MG في 6 متر وهنا بيصير ال U and
+
+117
+00:09:24,010 --> 00:09:26,810
+نقطة هذه بالساوة Zero هتلاقي الحل بيطلع نفس
+
+118
+00:09:26,810 --> 00:09:29,710
+الأشياء حاول فيه هتلاقي الحل بهذه الطريقة بيطلع
+
+119
+00:09:29,710 --> 00:09:36,050
+نفس الأشياء الآن مطلوب التانيبدي اوجد اللي هو ال
+
+120
+00:09:36,050 --> 00:09:39,830
+velocity ال velocity لوين لما اتصل الأرض بنفس
+
+121
+00:09:39,830 --> 00:09:45,170
+الكيفية ال E عند النقطة A بتساوي ال E عند النقطة C
+
+122
+00:09:45,170 --> 00:09:51,410
+تنقسم من قسمين و اضعوا حركة و اضعوا حركة هنا Zero
+
+123
+00:09:51,410 --> 00:09:56,130
+ايه Zero مش له سرعة بدلا من السكون UA بسوء MJ في
+
+124
+00:09:56,130 --> 00:10:02,130
+العشرة متر U عند النقطة C بتساوي Zeroمصيره لمستوى
+
+125
+00:10:02,130 --> 00:10:07,190
+الصفر زي نص Mv تربيع منها بقدر نص Mv تربيع مج في
+
+126
+00:10:07,190 --> 00:10:10,570
+ال H بختصر ال M مع ال M و بعد هيك بضره في اتنين و
+
+127
+00:10:10,570 --> 00:10:14,690
+بجيب الجدر Vc بسوى جدر اتنين جي في ال H في اي
+
+128
+00:10:14,690 --> 00:10:20,190
+مشكلة تطبيق سهل جدا الان انا بقول non conservative
+
+129
+00:10:20,190 --> 00:10:25,420
+force لان الكلام قولته انا بس بدي عيدهإذا كان في
+
+130
+00:10:25,420 --> 00:10:30,400
+عندي non conservative force and work energy
+
+131
+00:10:30,400 --> 00:10:34,860
+theorem الـ non conservative force بالمعنى المقتصر
+
+132
+00:10:34,860 --> 00:10:38,200
+الـ E initial مش سويش ال E final في اختلاف بينهم
+
+133
+00:10:38,200 --> 00:10:43,070
+ال work net ناشئ من حاجتينمن ال conservative force
+
+134
+00:10:43,070 --> 00:10:46,170
+و من ال non conservative force إذا ال work net
+
+135
+00:10:46,170 --> 00:10:50,530
+بقول الشغل المبذول من ال conservative force زاد
+
+136
+00:10:50,530 --> 00:10:52,970
+الشغل المبذول من ال non conservative force
+
+137
+00:10:52,970 --> 00:10:56,670
+الذاكرين ال work net هو ال work ناشط من جميع القوة
+
+138
+00:10:56,670 --> 00:10:59,470
+الموجودة عندك القوة المعندي ممكن تكون جزء منها
+
+139
+00:10:59,470 --> 00:11:02,910
+conservative forceو جزء منها non conservative
+
+140
+00:11:02,910 --> 00:11:06,170
+force مش انا كنت اجمعهم friction اقول work من ال
+
+141
+00:11:06,170 --> 00:11:08,210
+friction و work من ال gravity و work من ال normal
+
+142
+00:11:08,210 --> 00:11:12,290
+force كلهم جمعهم مع بعض جزء منهم conservative و زي
+
+143
+00:11:12,290 --> 00:11:15,990
+ال friction جزء منه non conservative force ال work
+
+144
+00:11:15,990 --> 00:11:22,110
+net هذا كله كان بيساوي delta K لكن
+
+145
+00:11:22,110 --> 00:11:26,490
+ال conservative force لحالها كان بيساوي سالب delta
+
+146
+00:11:26,490 --> 00:11:38,900
+Uهذا يعني انا بقدر اقول ال work net بيطلع
+
+147
+00:11:38,900 --> 00:11:43,780
+ال work non conservative force سوى delta k زائد
+
+148
+00:11:43,780 --> 00:11:48,380
+delta u ال work non conservative force سوى delta k
+
+149
+00:11:48,380 --> 00:11:55,850
+زائد delta u هذا بيساوي E final ناقص E initialإذا
+
+150
+00:11:55,850 --> 00:11:59,630
+فكتهم طبعا اي final ناقص اي initial هنا و هنا you
+
+151
+00:11:59,630 --> 00:12:02,930
+final ناقص you initial اخد ال final مع بعض و ال
+
+152
+00:12:02,930 --> 00:12:07,930
+initial مع بعض بطلع اي final ناقص اي initial لما
+
+153
+00:12:07,930 --> 00:12:13,330
+بدى حل اي مسألة بهذا الشكلبالزمن عدة خطوات اهم
+
+154
+00:12:13,330 --> 00:12:17,070
+خطوة اخد مستوى صفري اختياري بعد ما اخد مستوى صفري
+
+155
+00:12:17,070 --> 00:12:20,830
+اذا اول حاجة المستوى الصفري اللي انا بده اخده هذا
+
+156
+00:12:20,830 --> 00:12:24,430
+مستوى ايش معنى اختياري المستوى ايش معناته الصفري
+
+157
+00:12:24,430 --> 00:12:30,130
+ال potential energy عليه بساوي zero بده اعرف نقطة
+
+158
+00:12:30,130 --> 00:12:33,390
+البداية نقطين ال initial point و ال final point
+
+159
+00:12:34,870 --> 00:12:38,570
+بعدين احدد ال u و ال k زي ما حددنا قبل شويه ال u و
+
+160
+00:12:38,570 --> 00:12:41,350
+ال k عند كل منطقة و اذا في عند spring بدي احسب ال
+
+161
+00:12:41,350 --> 00:12:44,870
+u لل spring اضيفها في الحسابات و اذا ما عندي
+
+162
+00:12:44,870 --> 00:12:47,070
+friction force بدي استخدم ال non conservative
+
+163
+00:12:47,070 --> 00:12:52,590
+force نجي نحل مسألة و نشوف كيف انا بدي احلها نقول
+
+164
+00:12:52,590 --> 00:12:57,870
+في عند جسم هي واضح بهذا الشكل على سطح مائل
+
+165
+00:13:03,620 --> 00:13:11,100
+التانية كانت انزلق الى أسفل ووصل للبطول ووصل لتحت
+
+166
+00:13:11,100 --> 00:13:19,520
+ووصل لها ده المنطقة انزلق بدي أحسب ال energy بدي
+
+167
+00:13:19,520 --> 00:13:23,790
+أحسب ال speedعند الـ bottom هنا قدش السرعة قيمتها
+
+168
+00:13:23,790 --> 00:13:26,670
+اول حاجة بده اطلع هل في friction ولا مافيش
+
+169
+00:13:26,670 --> 00:13:29,930
+friction قال لي في friction قدش قيمة ال friction
+
+170
+00:13:29,930 --> 00:13:33,490
+خمسة نيوتن عشان ماحسبهاش ال ميو كيه و ال normal
+
+171
+00:13:33,490 --> 00:13:38,370
+force لأ اعطاني قيمتها خمسة نيوتن قيمتها ثابت الآن
+
+172
+00:13:38,370 --> 00:13:41,370
+ايش بده اقول فى non conservative force اذا ايش بده
+
+173
+00:13:41,370 --> 00:13:47,210
+اقول W non conservative force بتساوي ال E final
+
+174
+00:13:47,210 --> 00:13:54,140
+ناقص ال E initial اوDelta K ذائد Delta U أو K
+
+175
+00:13:54,140 --> 00:14:02,300
+final ذائد K U final ناقص K initial ذائد U initial
+
+176
+00:14:02,300 --> 00:14:09,950
+هذا يسوى الـ W non conservative forceاللي بترى
+
+177
+00:14:09,950 --> 00:14:15,010
+مناسب اشتغل عليه الخطوة التانية حددت القانون كم
+
+178
+00:14:15,010 --> 00:14:20,170
+جسم عنده جسم واحد بدأ أخد مستوى صفر له هذا المستوى
+
+179
+00:14:20,170 --> 00:14:25,410
+U بالساوية زيرو فجيه موجة بالـ U تحت يشمالها سالف
+
+180
+00:14:25,410 --> 00:14:31,030
+هاي الـ W non conservative force بتساوي A final
+
+181
+00:14:31,030 --> 00:14:38,130
+عبارة عن K final زي U final ناقص K initial زي U
+
+182
+00:14:38,130 --> 00:14:38,510
+initial
+
+183
+00:14:42,490 --> 00:14:47,190
+بعد هيك هذا المستوى الصفرى الجسم موضوع ال initial
+
+184
+00:14:47,190 --> 00:14:51,990
+هيو و ال final هيو كان هناك و صار هنا إله ارتفاع
+
+185
+00:14:51,990 --> 00:14:58,310
+إذا U إله هنا جدش قمتها MG في ستة من عشر سرعته
+
+186
+00:14:58,310 --> 00:15:02,290
+بدأت بالسكون إذا K إله بالساوي Zero لأنه نص MV
+
+187
+00:15:02,290 --> 00:15:09,450
+تربية و V بالساوي Zero هنا U بالساوي Zero لكن K
+
+188
+00:15:09,450 --> 00:15:15,550
+بالساوي نص MV تربيةفي الاحتكاك عنده هو نازل هنا
+
+189
+00:15:15,550 --> 00:15:19,930
+فيه friction force عكس الإزاحة قيمتها بالسالب اذا
+
+190
+00:15:19,930 --> 00:15:26,850
+سالب F في D مسافة
+
+191
+00:15:26,850 --> 00:15:33,190
+هذه D طيب كده ال D هذه ال D هذه قيمتها تقريبا 1
+
+192
+00:15:33,190 --> 00:15:39,410
+متر لأن هذه الزاوية تنيها سبعة أو تلاتين اومثلا في
+
+193
+00:15:39,410 --> 00:15:43,310
+حد يكون لازم تمانية و عشرة مثلا و اعطاني الاصل
+
+194
+00:15:43,310 --> 00:15:49,470
+يكون معطني ايها او معطني الزاوية في المثال اذا
+
+195
+00:15:49,470 --> 00:15:52,930
+الان حددت
+
+196
+00:15:52,930 --> 00:16:02,710
+الديم بساوي K final نص Mv final تربيع U final
+
+197
+00:16:02,710 --> 00:16:04,590
+قيمتها Zero
+
+198
+00:16:14,160 --> 00:16:22,440
+الان سالب خمسة في جداش في ال D نص ال M أعطانيها
+
+199
+00:16:22,440 --> 00:16:27,400
+اتنين في V final square ناقص اتنين في تسعة بوين
+
+200
+00:16:27,400 --> 00:16:34,160
+تمانية في ستة من عشرة كل الأرقام بطلع قيمته و بطلع
+
+201
+00:16:35,510 --> 00:16:44,470
+قيمة السرعة المطلوبة
+
+202
+00:16:44,470 --> 00:16:49,650
+عند السرعة هي المجهول الوحيد ازاوي
+
+203
+00:16:49,650 --> 00:16:55,210
+37 اذا
+
+204
+00:16:55,210 --> 00:16:58,750
+مجهول
+
+205
+00:16:58,750 --> 00:17:05,220
+عند في final بطلع قيمته متر ع ال secondأو بحسبها و
+
+206
+00:17:05,220 --> 00:17:10,780
+طلع قيمتها الان لو جالي if there is no friction اش
+
+207
+00:17:10,780 --> 00:17:16,580
+بده اقول ايه final بتساوي ال e initial يعني k
+
+208
+00:17:16,580 --> 00:17:22,820
+final زائد u final بتساوي k initial زائد u initial
+
+209
+00:17:22,820 --> 00:17:30,720
+اول حاجة ال k initial ب zero و ال u final ب zero
+
+210
+00:17:30,720 --> 00:17:38,240
+ده ال k finalبساوي نص Mv تربيع في عين الطبع بتساوي
+
+211
+00:17:38,240 --> 00:17:45,940
+U initial Mg initial هيها Mg في الارتفاع 6 من 10
+
+212
+00:17:45,940 --> 00:17:51,020
+لما ال M بتروح وبضرو في اتنين وباخد الجدل الطرفين
+
+213
+00:17:51,020 --> 00:17:58,620
+بكون انا حسبت قيمة السرعة ناخد مثال تاني تطبيقي
+
+214
+00:17:58,620 --> 00:18:02,020
+كمان بيقول فيه عندي جسم
+
+215
+00:18:07,980 --> 00:18:12,620
+أو جسمين تلقى الخطوات اللى انا بتحل فيها الان
+
+216
+00:18:12,620 --> 00:18:16,080
+مستوى
+
+217
+00:18:16,080 --> 00:18:20,240
+الصفر هل تغير الـ delta u مستوى الصفر مستوى غماله
+
+218
+00:18:20,240 --> 00:18:25,700
+اختياره بيقول في عندي جسمين مربوطين مع بعض كتلة
+
+219
+00:18:25,700 --> 00:18:29,840
+الأولى ام اتنين وهنا كتلة ام واحد هذا نزل مسافة
+
+220
+00:18:29,840 --> 00:18:34,740
+اتش وتوقف هنا في زمبراك مربوط فيه سحب هذا زمبراك
+
+221
+00:18:35,520 --> 00:18:44,100
+الثقل هنا نزل نزل ال M2 نزلت سحبت M1 وسحبت الزنبرة
+
+222
+00:18:44,100 --> 00:18:52,580
+بدى اطلع فى فريكشن ولا فى ايش فريكشن دماس M1 واقع
+
+223
+00:18:52,580 --> 00:18:58,090
+على مين rough surfaceRough surface ساطح خشب إذا
+
+224
+00:18:58,090 --> 00:19:00,610
+فيه friction إذا مباشرة محل ما أقول فيه friction
+
+225
+00:19:00,610 --> 00:19:05,410
+بدي أقول ال W من non conservative force بتساوي ال
+
+226
+00:19:05,410 --> 00:19:13,230
+E final ناقص ال E initial تطبيق المثال القانوني
+
+227
+00:19:13,230 --> 00:19:18,870
+بشكل سهل النقطة التانية قولت اختاره level بدي
+
+228
+00:19:18,870 --> 00:19:24,400
+أختار مستوى صفر high مستوى صفرللجسم الأول بيساوي
+
+229
+00:19:24,400 --> 00:19:30,380
+Zero ومستوى صفر للجسم التاني بيساوي Zero إذا أنا
+
+230
+00:19:30,380 --> 00:19:34,860
+أخدت مستوى صفر طيب مستويين أخد بنفع مستويين و بنفع
+
+231
+00:19:34,860 --> 00:19:39,400
+مستوى إيش؟ واحد للتانينوالثاني لن يأثره لأن هذا
+
+232
+00:19:39,400 --> 00:19:42,840
+المستوى اللي هو لا يتغير في ال initial مج في ال H
+
+233
+00:19:42,840 --> 00:19:45,460
+وفي ال final مج في ال H يعني على اليمين مج في ال H
+
+234
+00:19:45,460 --> 00:19:48,100
+وعلى اليسار مج في ال H يروحوا مع بعض ينطرحوا مع
+
+235
+00:19:48,100 --> 00:19:51,220
+بعض إذا المستوى الصفر معله انت بتاخد مستوى صفر
+
+236
+00:19:51,220 --> 00:19:53,960
+للجسم الأول مستوى صفر ل .. في أي مسألة؟ في أي
+
+237
+00:19:53,960 --> 00:19:58,120
+مسألة خد مستوى صفر للأول ومستوى صفر للثاني بدك
+
+238
+00:19:58,120 --> 00:20:02,600
+تاخد مستوى صفر للثانين مش أي مشكلة إيش بيسهل عليك
+
+239
+00:20:02,600 --> 00:20:07,360
+وبيقلل الحدود اللي موجودة عندك؟ خدهمبعدين initial
+
+240
+00:20:07,360 --> 00:20:17,280
+واحد initial واحد final اتنين كان هنا صار هنا
+
+241
+00:20:17,280 --> 00:20:20,440
+سريعته
+
+242
+00:20:21,360 --> 00:20:26,540
+V بتساوى Zero بدأ من السكون V بتساوى Zero Final V
+
+243
+00:20:26,540 --> 00:20:30,020
+بتساوى Zero V بتساوى Zero بدأ من السكون وانتهى
+
+244
+00:20:30,020 --> 00:20:35,220
+السكون كان ساكن نزل ووقف سرعته في الأول جسميا كلهم
+
+245
+00:20:35,220 --> 00:20:42,100
+سرعتهم Zero بعدها سرعتهم صارت Zero لأنه انتوقف بدي
+
+246
+00:20:42,100 --> 00:20:52,030
+تحسبلي MUK زي المطلوب Find MUK MUK قدش قيمتهبنجي
+
+247
+00:20:52,030 --> 00:20:55,510
+بعد ما حددت الصراعات والارتفاعات وين كان الجسم
+
+248
+00:20:55,510 --> 00:20:58,590
+الأول وين صار الجسم الأول وين كان الجسم التاني وين
+
+249
+00:20:58,590 --> 00:21:01,790
+صار الجسم التاني والمستوى الأول للمستوى الصفري
+
+250
+00:21:01,790 --> 00:21:09,350
+لكلا الجسمين بدي أقول سالب F في المسافة اللي بده
+
+251
+00:21:09,350 --> 00:21:15,110
+يتحركها ليه H نفس الـH هذا بنزل H هذا بتحرك H إذا
+
+252
+00:21:15,110 --> 00:21:21,110
+في Hبساوة ايه final كم الجسم عندنا نفسرها شوية
+
+253
+00:21:21,110 --> 00:21:26,570
+بالبداية نفسرها هناك بس انا بدي اقول k final زائد
+
+254
+00:21:26,570 --> 00:21:33,730
+u final للجسم الأول للجسم الأول زائد k final زائد
+
+255
+00:21:33,730 --> 00:21:38,550
+u final للجسم التاني للجسم التاني زائد في spring u
+
+256
+00:21:38,550 --> 00:21:44,820
+للspring finalمش كل جسم له طاقتين ووضع وحركة فيه
+
+257
+00:21:44,820 --> 00:21:47,560
+منهم يسوى zero جسم الأول له طاقت ووضع وحركة الجسم
+
+258
+00:21:47,560 --> 00:21:50,020
+التاني له طاقت ووضع وحركة الذنبراك له طاقت ياشف
+
+259
+00:21:50,020 --> 00:21:57,800
+ووضع فقط هذا final ناقص K initial U initial للجسم
+
+260
+00:21:57,800 --> 00:22:03,240
+الأول للجسم الأول زائد U initial للتاني زائد K
+
+261
+00:22:03,240 --> 00:22:08,670
+initial للتاني زائد U لل spring initialالخمس
+
+262
+00:22:08,670 --> 00:22:15,090
+الموجودة لأن مين بيساوي zero نيجي سرعات كواحد
+
+263
+00:22:15,090 --> 00:22:19,030
+final بدأت انتهت السكون و كتنين final انتهت نفس
+
+264
+00:22:19,030 --> 00:22:26,310
+السكون U واحد final واحد final مستوى صفر اذا انا
+
+265
+00:22:26,310 --> 00:22:29,830
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+266
+00:22:29,830 --> 00:22:30,010
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+267
+00:22:30,010 --> 00:22:30,050
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+268
+00:22:30,050 --> 00:22:30,150
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+269
+00:22:30,150 --> 00:22:30,230
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+270
+00:22:30,230 --> 00:22:35,370
+انا انا انا انا انا االـ final صار في ذوق U للـ
+
+271
+00:22:35,370 --> 00:22:41,710
+spring final في الـ final ايش صار فيه؟ ان سحب
+
+272
+00:22:41,710 --> 00:22:51,090
+مسافة X إذا نقل وضع نص K X تربيع نيجي
+
+273
+00:22:51,090 --> 00:22:56,050
+لل initial K1 initial بدأ من السكون إذا هاد في
+
+274
+00:22:56,050 --> 00:23:01,210
+Zeroهي ناقص نفتح ال course U واحد initial واحد
+
+275
+00:23:01,210 --> 00:23:06,490
+initial على مستوى الصفر اذا راح U اتنين initial
+
+276
+00:23:06,490 --> 00:23:09,770
+اتنين initial هي U وهي المستوى الصفر اللي هو
+
+277
+00:23:09,770 --> 00:23:16,790
+ارتفاع اذا M اتنين في G في ال H K اتنين initial ب
+
+278
+00:23:16,790 --> 00:23:20,050
+Zero U لل spring initial ال spring كان في الأول
+
+279
+00:23:20,050 --> 00:23:23,230
+قصرتش يعني ما له ان ال equilibrium position اذا
+
+280
+00:23:23,230 --> 00:23:30,660
+هنا بيساوي Zeroإذا سالب F في H سوى نص K X تربيه
+
+281
+00:23:30,660 --> 00:23:35,820
+ناقص عن G في H سالب Mu K في جداش يا شباب في ال
+
+282
+00:23:35,820 --> 00:23:39,920
+normal force في ال H و ال normal force جداش قيمتها
+
+283
+00:23:39,920 --> 00:23:44,720
+و بدي أشطبها و أحط محلها ال normal force اللي هنا
+
+284
+00:23:44,720 --> 00:23:49,990
+مش هي السطح الخشنم جي جي و ال normal force لفوق
+
+285
+00:23:49,990 --> 00:23:53,190
+اذا هنا ال normal force بدي احط محلها م واحد في جي
+
+286
+00:23:53,190 --> 00:23:58,790
+اذا سالب ميو ك في م واحد في جي في H بتساوي نص ك
+
+287
+00:23:58,790 --> 00:24:03,210
+وال X عبارة عن H square لان ال X اللي اتحركها هي
+
+288
+00:24:03,210 --> 00:24:10,180
+نفس ال H م اتنين في جي في H كله موجود عندهال M و
+
+289
+00:24:10,180 --> 00:24:14,500
+ال M M2 هنا و M1 موجودة عنده و ال K و ال H بيظل
+
+290
+00:24:14,500 --> 00:24:17,780
+عند المجهول ميو كيه بقدر اطلع قيمة ال ميو كيه اذا
+
+291
+00:24:17,780 --> 00:24:21,540
+موجود اذا مش موجود بعمله انترتيب بجيب M جيب H هنا
+
+292
+00:24:21,540 --> 00:24:25,200
+و بجسم عليها و بجلب هدول الإشارة الموجة بمحل
+
+293
+00:24:25,200 --> 00:24:30,580
+الإشارة السلم وهيك بيكون حسابة لميو كيه و يعطيكوا
+
+294
+00:24:30,580 --> 00:24:33,460
+العافية و هيك بيكون خلص الشبطة و ان شاء الله
+
+295
+00:24:33,460 --> 00:24:35,380
+بشوفكم شبطة رقم 8
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/eR85o6_cAJc_raw.json b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/eR85o6_cAJc_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..e13ef33b25de8ba604a4597a028a1baea649080c
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/eR85o6_cAJc_raw.json
@@ -0,0 +1 @@
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"من ال conservative force و من ال non conservative force إذا ال work net بقول الشغل المبذول من ال conservative force زاد الشغل المبذول من ال non conservative force الذاكرين ال work net هو ال work ناشط من جميع القوة الموجودة عندك القوة المعندي ممكن تكون جزء منها conservative force", "tokens": [27842, 2423, 13780, 3464, 4032, 9154, 2423, 2107, 13780, 3464, 11933, 15730, 2423, 589, 2533, 4724, 39648, 25124, 17082, 1211, 9673, 3555, 8848, 12610, 9154, 2423, 13780, 3464, 30767, 18513, 25124, 17082, 1211, 9673, 3555, 8848, 12610, 9154, 2423, 2107, 13780, 3464, 32545, 995, 37983, 9957, 2423, 589, 2533, 31439, 2423, 589, 8717, 33599, 9566, 9154, 10874, 2304, 40228, 25062, 2407, 3660, 9673, 29245, 23328, 3660, 43242, 4117, 25062, 2407, 3660, 9673, 3615, 1863, 16254, 3714, 43020, 6055, 30544, 10874, 11622, 38207, 9154, 11296, 13780, 3464], "avg_logprob": -0.18238146962790652, "compression_ratio": 2.197802197802198, "no_speech_prob": 1.430511474609375e-06, "words": [{"start": 641.47, "end": 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/fC0keOg948Y.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/fC0keOg948Y.srt
new file mode 100644
index 0000000000000000000000000000000000000000..90e2dc9cc534928d9269872e8d0048899b6485e4
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/fC0keOg948Y.srt
@@ -0,0 +1,671 @@
+1
+00:00:05,990 --> 00:00:14,530
+سلام عليكم ويعطيكم العافية، اليوم سوف نتكلم عن
+
+2
+00:00:14,530 --> 00:00:19,170
+الـ vector، الـ vector، اليوم نتكلم عن الـ product of
+
+3
+00:00:19,170 --> 00:00:24,910
+vectors. أول حاجة multiplying a vector by a scalar، إذا
+
+4
+00:00:24,910 --> 00:00:27,530
+كان لدي vector A
+
+5
+00:00:31,350 --> 00:00:35,690
+أنا الـ vector عندي a، بيساوي المكون في اتجاه الـ X
+
+6
+00:00:35,690 --> 00:00:38,810
+المكون
+
+7
+00:00:38,810 --> 00:00:43,950
+اللي في اتجاه الـ Y، زائد المكون اللي في اتجاه الـ Z
+
+8
+00:00:43,950 --> 00:00:50,380
+وبدي أضربها في scalar،  Lambda is a scalar. هذه هي
+
+9
+00:00:50,380 --> 00:00:54,420
+الرقم اللي عندي الآن. Lambda في a، كأننا بنبدأ نضرب
+
+10
+00:00:54,420 --> 00:00:59,120
+المكون الـ x component في lambda، والـ y component
+
+11
+00:00:59,120 --> 00:01:02,780
+في lambda، والـ z component في lambda. Lambda في a
+
+12
+00:01:02,780 --> 00:01:06,580
+هي عبارة عن Lambda ax، Lambda ay، Lambda az.
+
+13
+00:01:06,580 --> 00:01:11,080
+لاحظوا lambda ممكن تكون عندي بالموجب أو تكون عندي
+
+14
+00:01:11,080 --> 00:01:16,660
+بالسالب. إذا كانت lambda positive، بيصير عندي المتجه
+
+15
+00:01:16,660 --> 00:01:21,960
+اللي بينتج متجه جديد in the same direction، بنفس الاتجاه،
+
+16
+00:01:21,960 --> 00:01:25,600
+لكن قيمته قد تختلف. إذا كانت Lambda قيمتها واحد،
+
+17
+00:01:25,600 --> 00:01:28,780
+بيكون الـ magnitude للـ vector الأول والـ vector
+
+18
+00:01:28,780 --> 00:01:32,900
+الثاني نفس الـ magnitude. لكن إذا كانت قيمتها أقل من
+
+19
+00:01:32,900 --> 00:01:36,000
+واحد، الـ magnitude بيقل. أقل من واحد، الـ magnitude
+
+20
+00:01:36,000 --> 00:01:40,060
+بيقل. أكثر من واحد، الـ magnitude بيزيد. إما الاحتمال
+
+21
+00:01:40,060 --> 00:01:44,060
+الثاني، تكون Lambda قيمتها negative. لما تكون Lambda
+
+22
+00:01:44,060 --> 00:01:48,130
+negative، أنا بتوقع أن lambda negative، إيش بيصير في الـ
+
+23
+00:01:48,130 --> 00:01:51,930
+vector الجديد اللي بينتج؟ عنده opposite direction
+
+24
+00:01:51,930 --> 00:01:55,510
+للـ A، يعني لو كان اتجاهه بهذا الاتجاه، مباشرة بعكس
+
+25
+00:01:55,510 --> 00:01:59,030
+الإشارة. السالبة. احنا متفقين من البداية أن الإشارة
+
+26
+00:01:59,030 --> 00:02:04,070
+السالبة تعكس اتجاه المتجه. قيمته موجبة بهذا
+
+27
+00:02:04,070 --> 00:02:09,670
+الاتجاه، قيمته سالبة بعكس الاتجاه. هذا بالنسبة للنقطة
+
+28
+00:02:09,670 --> 00:02:14,090
+الأولى. النقطة الثانية، في عندي هذا scalar في vector.
+
+29
+00:02:14,090 --> 00:02:18,970
+هنا عندي vector في
+
+30
+00:02:18,970 --> 00:02:25,260
+vector. لما أضرب vector في vector، في احتمالين. الأول
+
+31
+00:02:25,260 --> 00:02:30,020
+يطلع عندي scalar، الاحتمال الثاني يطلع عندي vector. فهنا
+
+32
+00:02:30,020 --> 00:02:34,320
+vector في vector ممكن يطلع عندي scalar أو يطلع عندي
+
+33
+00:02:34,320 --> 00:02:38,920
+vector. نجي للاحتمال الأول، أن يطلع عندي scalar، عشان
+
+34
+00:02:38,920 --> 00:02:43,420
+هيك بسميه scalar product، أو الاسم الثاني dot
+
+35
+00:02:43,420 --> 00:02:44,200
+product.
+
+36
+00:02:47,990 --> 00:02:51,850
+Scalar Product أو Dot Product لـ vectors A وB،
+
+37
+00:02:51,850 --> 00:02:55,630
+بطلع كمية scalar. وهذا موجود عندنا في الكميات
+
+38
+00:02:55,630 --> 00:02:58,490
+الفيزيائية. في عندك كمية فيزيائية متجهة، تضربها في
+
+39
+00:02:58,490 --> 00:03:02,570
+كمية فيزيائية متجهة، الناتج اللي بينتج عندنا هي كمية
+
+40
+00:03:02,570 --> 00:03:08,470
+فيزيائية قياسية scalar. مثال عليها الـ work، الـ
+
+41
+00:03:08,470 --> 00:03:12,630
+work عبارة عن كمية فيزيائية قياسية scalar، يعني
+
+42
+00:03:12,630 --> 00:03:17,150
+قيمة ووحدة قياس. هي عبارة عن ضرب two vectors.
+
+43
+00:03:19,800 --> 00:03:25,680
+F dot a، هو عبارة عن vector أولاني في vector ثاني.
+
+44
+00:03:25,680 --> 00:03:32,240
+الـ F في الإزاحة، بيطلع عندك متجه في متجه، بيطلع
+
+45
+00:03:32,240 --> 00:03:36,600
+عندك كمية قياسية اللي هي work. متجه في متجهة، طلعت
+
+46
+00:03:36,600 --> 00:03:40,480
+عندك كمية فيزيائية في كمية فيزيائية، طلعت عندك كمية
+
+47
+00:03:40,480 --> 00:03:46,520
+فيزيائية قياسية. طيب، والـ vector a.b؟ نتيجة اللي
+
+48
+00:03:46,520 --> 00:03:51,260
+بتطلع عند a,b، كوساين الزاوية، كوساين الزاوية بين
+
+49
+00:03:51,260 --> 00:03:55,380
+المتجه a والمتجه b. يعني أنا بروح أدور على الزاوية
+
+50
+00:03:55,380 --> 00:03:59,100
+بين المتجه a والمتجه b. الـ a هي الـ magnitude
+
+51
+00:03:59,100 --> 00:04:03,000
+من المتجه a، الـ b هي الـ magnitude من المتجه b. يعني
+
+52
+00:04:03,000 --> 00:04:10,780
+لو كان عندي a، بيساوي ax زائد ay زائد az في اتجاه الـ k،
+
+53
+00:04:13,610 --> 00:04:18,130
+والمتجهة الثانية بيساوي bx في اتجاه الـ i، زائد by
+
+54
+00:04:18,130 --> 00:04:23,830
+زائد bz في اتجاه الـ k. هو بدأ يجيب الـ dot product
+
+55
+00:04:23,830 --> 00:04:29,170
+للمتجهة الأولى في المتجهة الثانية. dot product للمتجهة A
+
+56
+00:04:29,170 --> 00:04:34,230
+dot B. أول حاجة، بدأ يجيب الـ magnitude للـ A. نذكر
+
+57
+00:04:34,230 --> 00:04:38,150
+الـ magnitude للـ A، كيف بقدر أجيب الـ magnitude للـ
+
+58
+00:04:38,150 --> 00:04:44,720
+A؟ كيف ممكن أجيب الـ magnitude للـ A؟ عبارة عن جذر
+
+59
+00:04:44,720 --> 00:04:48,140
+ax تربيع زائد ay تربيع زائد az تربيع.
+
+60
+00:04:48,140 --> 00:04:55,820
+ax تربيع زائد ay تربيع زائد az تربيع.
+
+61
+00:04:55,820 --> 00:04:56,640
+ax تربيع زائد ay تربيع زائد az تربيع.
+
+62
+00:04:56,640 --> 00:04:57,960
+ax تربيع زائد ay تربيع زائد az تربيع.
+
+63
+00:04:57,960 --> 00:04:59,600
+ax تربيع زائد ay تربيع زائد az تربيع.
+
+64
+00:04:59,600 --> 00:05:03,160
+ax تربيع زائد ay تربيع زائد az تربيع.
+
+65
+00:05:03,160 --> 00:05:09,840
+ax تربيع زائد ay تربيع
+
+66
+00:05:14,240 --> 00:05:19,820
+طبعاً الآن، لو كان عندي الزاوية، طيب، مرحباً، لو كانت
+
+67
+00:05:19,820 --> 00:05:26,000
+الزاوية صغيرة جداً، صفر. كوساين صفر، كذا؟ كوساين صفر
+
+68
+00:05:26,000 --> 00:05:30,660
+واحد. فيطلع في هذه الحالة أقصى قيمة، أو maximum
+
+69
+00:05:30,660 --> 00:05:34,860
+value للـ dot product. لذا maximum value للـ dot
+
+70
+00:05:34,860 --> 00:05:39,600
+product لما تكون الزاوية بينهم صفر. طيب، هل، طيب لو
+
+71
+00:05:39,600 --> 00:05:44,660
+كانت الزاوية اللي بينهم θ بتساوي تسعين، يعني
+
+72
+00:05:44,660 --> 00:05:49,160
+متعامدات على بعض، إيش هيكون عندك النتيجة اللي هتكون
+
+73
+00:05:49,160 --> 00:05:53,440
+عندك؟ صفر. يعني ممكن أقول ملاحظة رقم واحد:
+
+74
+00:05:53,440 --> 00:06:04,920
+عندك أنه إذا كان a و b، المتجه a، المتجه b، آسف، متجه
+
+75
+00:06:04,920 --> 00:06:10,610
+الزاوية بين المتجهة a والمتجهة b تساوي صفر، في هذه
+
+76
+00:06:10,610 --> 00:06:23,710
+الحالة a.b هي عبارة عن ab. طيب، ناخد a.a، متجهة في
+
+77
+00:06:23,710 --> 00:06:28,330
+نفسها. متجهة a، magnitude للـ a، متجهة ثانية،
+
+78
+00:06:28,330 --> 00:06:31,290
+magnitude للـ a، في كوساين الزاوية بينهم.
+
+79
+00:06:31,290 --> 00:06:34,890
+كوساين الصفر، كم؟ كوساين الصفر واحد. إذن بيطلع عندي a تربيع.
+
+80
+00:06:34,890 --> 00:06:40,350
+إذا a dot a بيطلع a تربيع، b dot b بيطلع b تربيع. يعني
+
+81
+00:06:40,350 --> 00:06:46,540
+المتجهة dot نفسها، أو متجه في نفسه، بيطلع عندي a تربيع. طيب،
+
+82
+00:06:46,540 --> 00:06:52,260
+إذا كانت المتجه a والمتجه b متعامدات، يعني θ بين الـ
+
+83
+00:06:52,260 --> 00:06:58,140
+a والـ b بتساوي باي على اثنين، إذا في هذه الحالة a
+
+84
+00:06:58,140 --> 00:07:04,140
+dot b هتكون قيمته بتساوي صفر، لأنه هيطلع a في b
+
+85
+00:07:04,140 --> 00:07:09,500
+في cos 90. cos 90 صفر. إذا، أي متجهين متعامدين، أي
+
+86
+00:07:09,500 --> 00:07:13,740
+متجهين متعامدين، الـ dot product بينهم صفر. يعني لو
+
+87
+00:07:13,740 --> 00:07:17,480
+قلت لك بطريقة ثانية، في عندك متجه a ومتجه b
+
+88
+00:07:17,480 --> 00:07:22,500
+والاثنين، شوف لي إياهما متعامدان ولا لأ، إيش بدك تعمل؟
+
+89
+00:07:22,500 --> 00:07:27,260
+بدك تحسب الـ a dot b، جيب القيمة الـ
+
+90
+00:07:27,260 --> 00:07:29,740
+magnitude للـ a والـ magnitude للـ b، وطلع القيمة
+
+91
+00:07:29,740 --> 00:07:32,360
+الـ a dot b. إذا طلعت معايا قيمتها تساوي
+
+92
+00:07:32,360 --> 00:07:36,140
+صفر، معناه ذلك المتجهين معاً متعامدان.
+
+93
+00:07:37,850 --> 00:07:42,190
+طلعت maximum value،
+
+94
+00:07:42,190 --> 00:07:49,830
+بمعنى متجهين
+
+95
+00:07:49,830 --> 00:07:57,970
+متوازيين. هل ممكن في بعض الملاحظات أقولها؟ أول ملاحظة:
+
+96
+00:07:57,970 --> 00:08:05,200
+نرجع للـ unit vector. الـ unit vector هو متجه قيمته
+
+97
+00:08:05,200 --> 00:08:09,380
+متساوية، كم؟ واحد. في اتجاهه وفي اتجاهنا في  أي
+
+98
+00:08:09,380 --> 00:08:15,700
+من الثلاث unit vectors  المتعارف معرفتهم. أنا واحد في
+
+99
+00:08:15,700 --> 00:08:20,080
+اتجاه الـ X، واحد في اتجاه الـ Y، واحد في اتجاه الـ Z.
+
+100
+00:08:20,080 --> 00:08:29,040
+اللي في اتجاه الـ X هو عبارة عن i، وهنا عندي k، والثلاثة
+
+101
+00:08:29,040 --> 00:08:33,050
+متعامدة. وإذن، أول حاجة هذا unit vector، إيش معناه؟
+
+102
+00:08:33,050 --> 00:08:37,290
+unit vector. نرجع، قيمته، كم؟ أي متجه قيمته
+
+103
+00:08:37,290 --> 00:08:40,830
+بالسعة واحد. واتجاهه في اتجاه الـ X، قيمته بالسعة واحد.
+
+104
+00:08:40,830 --> 00:08:44,250
+واتجاهه في اتجاه الـ Y، قيمته بالسعة واحد للخارج، زي
+
+105
+00:08:44,250 --> 00:08:50,110
+هيك. واتجاهه في اتجاه الـ Z. طيب، لو قلت: جيب لي الآن أول
+
+106
+00:08:50,110 --> 00:08:57,710
+نقطة بدي أحسبها، وبدي أحددها. المتجه في نفسه. i dot
+
+107
+00:08:57,710 --> 00:09:04,440
+i. أتوقع أنه يقول قيمته تساوي واحد؟ الـ i قيمته
+
+108
+00:09:04,440 --> 00:09:11,780
+تساوي واحد. dot i، ضرب الواحد في كوساين الزاوية
+
+109
+00:09:11,780 --> 00:09:16,700
+بين المتجه ونفسه. كوساين الصفر، كم؟ واحد. زي نتيجة
+
+110
+00:09:16,700 --> 00:09:21,700
+إيش مالها؟ واحد. زي متجه الوحدة في متجه الوحدة في
+
+111
+00:09:21,700 --> 00:09:24,600
+نفسه. في متجه الوحدة في نفسه، وطلع قيمة واحد. يعني
+
+112
+00:09:24,600 --> 00:09:29,440
+بقدر أقول: أي متجهين، متجهات الوحدة، قيمتهم k dot
+
+113
+00:09:29,440 --> 00:09:36,040
+k، تساوي كم؟ واحد. طيب، لو كان عندي متجهين متعامدين،
+
+114
+00:09:36,040 --> 00:09:47,620
+إذا قلت لك i.k، ماهي قيمتها؟ i.k. i بواحد، في
+
+115
+00:09:47,620 --> 00:09:54,620
+واحد في كوساين الزاوية بين i وk. i وk، الزاوية بينهم كم؟
+
+116
+00:09:54,620 --> 00:10:00,240
+تسعين درجة. في كوساين التسعين، صفر. إذا i.k قيمته
+
+117
+00:10:00,240 --> 00:10:02,540
+بتساوي صفر. إذا المتجه
+
+118
+00:10:06,090 --> 00:10:12,990
+متجه الوحدة في نفسه، بيطلع قيمته واحد. متجه الوحدة
+
+119
+00:10:12,990 --> 00:10:16,030
+في المتجه العمودي عليه. متجه الوحدة العمودي عليه
+
+120
+00:10:16,030 --> 00:10:22,830
+بيطلع قيمته بتساوي صفر. i dot k بيطلع صفر. كذلك i
+
+121
+00:10:22,830 --> 00:10:33,570
+dot j بيطلع صفر. i dot j dot k بيطلع صفر. طيب، نجي
+
+122
+00:10:33,570 --> 00:10:39,630
+الآن لمتجهين اللي موجودة عندك a وb، وماضرب
+
+123
+00:10:39,630 --> 00:10:43,850
+بعضهم لأ. a في b، إيش بدي أعمل؟ a dot b، كذا، كذا، كذا،
+
+124
+00:10:43,850 --> 00:10:44,710
+كذا، كذا، كذا، كذا، كذا، كذا، كذا، كذا، كذا، كذا، كذا،
+
+125
+00:10:44,710 --> 00:10:46,930
+كذا، كذا، كذا، كذا، كذا، كذا، كذا، كذا، كذا، كذا، كذا،
+
+126
+00:10:46,930 --> 00:10:49,170
+كذا، كذا، كذا، كذا، كذا، كذا، كذا، كذا، كذا، كذا، كذا،
+
+127
+00:10:49,170 --> 00:10:53,410
+كذا، كذا،
+
+128
+00:10:53,410 --> 00:11:06,750
+كذا، كذا، كذا، كذا، كذا، والثاني في الثاني، والثالث في
+
+129
+00:11:06,750 --> 00:11:14,350
+الثالث. إيش هيطلع معايا؟ إيش
+
+130
+00:11:14,350 --> 00:11:26,030
+هيطلع معايا؟ ax في bx. أول حاجة ax bx. أول
+
+131
+00:11:26,030 --> 00:11:34,510
+حاجة ax bx. زائد ay في by. زائد az في bz. إيش رأيكم؟
+
+132
+00:11:34,510 --> 00:11:41,890
+والباقي الحدود. والباقي، وعندي لسه حدود ax في bx، i
+
+133
+00:11:41,890 --> 00:11:51,450
+dot i، ax في by i dot j، ax في bz i dot k، تلكي قد إيش؟
+
+134
+00:11:51,450 --> 00:11:56,350
+عندها صفر. إذن بيبقى عندي فقط ax bx،  ay by،
+
+135
+00:11:56,350 --> 00:12:01,770
+والباقي صفر، az bz. إذا قيمته بقدر أحددها
+
+136
+00:12:01,770 --> 00:12:06,830
+المكونات المتشابهة. كل مكونين متشابهين بضربهم في
+
+137
+00:12:06,830 --> 00:12:10,690
+بعض، وبجمعهم. بيطلع عندي هنا، كمان مرة مانساش أنه
+
+138
+00:12:10,690 --> 00:12:16,720
+بيطلع عندي value، قيمة scalar. هذه القيمة إذا كانت
+
+139
+00:12:16,720 --> 00:12:21,540
+فيزيائية، بحط جانبها الـ unit اللي أنا استخدمتها، أو
+
+140
+00:12:21,540 --> 00:12:30,380
+الـ unit اللي بتطلع معها. ما أحد يكتب i أو k أو g
+
+141
+00:12:30,380 --> 00:12:36,840
+ل a dot b، معناتها كمية قياسية. كمية قياسية بتعرف
+
+142
+00:12:36,840 --> 00:12:41,720
+بالـ magnitude زائد وحدة القياس. طيب، لاحظوا هذه
+
+143
+00:12:41,720 --> 00:12:50,650
+العلاقة. صار عندي a dot b بتساوي ab cos الزاوية. و
+
+144
+00:12:50,650 --> 00:12:54,690
+إذا أعطاني إياها صورة مكونات، بقدر أحسبها ax bx، ay by،
+
+145
+00:12:54,690 --> 00:12:59,390
+az bz. إذا في كل الحالتين بقدر أنا أحددها. طيب، منين
+
+146
+00:12:59,390 --> 00:13:03,270
+علاقة واحد؟ نقول هذه علاقة واحد، وهذه علاقة اثنين.
+
+147
+00:13:03,270 --> 00:13:07,490
+لو قلت لك حدد الزاوية بين المتجهين، بتقدر تحدد
+
+148
+00:13:07,490 --> 00:13:10,630
+الزاوية بين المتجهين؟ طبعاً الزاوية بين المتجهين
+
+149
+00:13:10,630 --> 00:13:14,570
+واحد واثنين، بقدر أقول كوساين الزاوية بين المتجه a
+
+150
+00:13:14,570 --> 00:13:15,370
+و b،
+
+151
+00:13:17,740 --> 00:13:27,400
+ax bx زائد ay by زائد az bz على ab.
+
+152
+00:13:36,460 --> 00:13:40,200
+مش هناك الملاحظة. بقى الآن، نفس الطريقة اللي قلتها في أن دي
+
+153
+00:13:40,200 --> 00:13:45,520
+a، ax و bx، والـ b، bx. تساوي الحدود. قلت في الآخر، أنا
+
+154
+00:13:45,520 --> 00:13:50,180
+طلع الـ a dot b عبارة عن مين؟ ax bx، ay by، az
+
+155
+00:13:50,180 --> 00:13:55,220
+bz. الـ a.b مانساش بيساوي ab cos الزاوية، كوساين
+
+156
+00:13:55,220 --> 00:13:58,440
+الزاوية بين a و b. بجيب الـ dot product عن طريق الـ
+
+157
+00:13:58,440 --> 00:14:01,200
+x component والـ y component والـ z component، و
+
+158
+00:14:01,200 --> 00:14:03,580
+بجيب الـ magnitude ل a والـ magnitude ل b، بقدر
+
+159
+00:14:03,580 --> 00:14:07,580
+أطبقها. متزاوية. ناخذ الآن example على هذا
+
+160
+00:14:07,580 --> 00:14:15,480
+الكلام. الـ
+
+161
+00:14:15,480 --> 00:14:20,880
+example على هذا الكلام بيقول: عندي two vectors a والـ
+
+162
+00:14:20,880 --> 00:14:26,940
+vector الثاني b. أحسب الـ angle بين الـ two vectors.
+
+163
+00:14:26,940 --> 00:14:32,600
+احسب الزاوية بين الـ vector a والـ vector b. أحسب
+
+164
+00:14:32,600 --> 00:14:35,380
+الزاوية بين الـ vector a والـ vector b. أحسب الزاوية
+
+165
+00:14:35,380 --> 00:14:37,540
+بين الـ vector a والـ vector b. أحسب الزاوية بين الـ
+
+166
+00:14:37,540 --> 00:14:39,680
+vector a والـ vector b. أحسب الزاوية بين الـ vector
+
+167
+00:14:39,680 --> 00:14:41,900
+a والـ vector b. أحسب الزاوية بين الـ vector a والـ
+
+168
+00:14:41,900 --> 00:14:42,120
+vector b. أحسب الزاوية بين ال
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/fC0keOg948Y_raw.json b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/fC0keOg948Y_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..87624f5d36088b2479d42f94851f4fbcd89e3ff7
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/fC0keOg948Y_raw.json
@@ -0,0 +1 @@
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"end": 104.54, "text": "The same direction بنفس الاتجاه لكن قيمته قد تختلف إذا كانت Lambda قيمتها واحد بيكون ال magnitude لل vector الأولان و ال vector التاني نفس ال magnitude لكن إذا كانت قيمتها أقل واحد ال magnitude بيقل أقل من واحد ال magnitude بيقل أكثر من واحد ال magnitude بيزيد إما الاحتمال التاني تكون Lambda معلها negative لما تكون Lambda negative", "tokens": [2278, 912, 3513, 4724, 1863, 36178, 2423, 9307, 7435, 40294, 44381, 12174, 32640, 47395, 12174, 3215, 6055, 46456, 46538, 11933, 15730, 25961, 2655, 45691, 12174, 32640, 2655, 11296, 36764, 24401, 4724, 1829, 30544, 2423, 15668, 24976, 8062, 16247, 12610, 7649, 4032, 2423, 8062, 16712, 7649, 1829, 8717, 36178, 2423, 15668, 44381, 11933, 15730, 25961, 2655, 12174, 32640, 2655, 11296, 5551, 4587, 1211, 36764, 24401, 2423, 15668, 4724, 1829, 4587, 1211, 5551, 4587, 1211, 9154, 36764, 24401, 2423, 15668, 4724, 1829, 4587, 1211, 5551, 4117, 49115, 9154, 36764, 24401, 2423, 15668, 4724, 1829, 11622, 25708, 11933, 15042, 42963, 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"temperature": 1.0}, {"id": 6, "seek": 13938, "start": 128.11, "end": 139.39, "text": "هذا بالنسبة للنقطة الأولى النقطة التانية في عند هذا scalar في vector هنا عند vector في vector", "tokens": [3224, 15730, 20666, 1863, 35457, 3660, 24976, 1863, 47432, 3660, 16247, 12610, 7578, 28239, 47432, 3660, 16712, 7649, 10632, 8978, 43242, 23758, 39684, 8978, 8062, 34105, 43242, 8062, 8978, 8062], "avg_logprob": -0.3981854934846201, "compression_ratio": 1.46, "no_speech_prob": 0.0, "words": [{"start": 128.11, "end": 128.73, "word": "هذا", "probability": 0.5621337890625}, {"start": 128.73, "end": 129.25, "word": " بالنسبة", "probability": 0.7519683837890625}, {"start": 129.25, "end": 129.67, "word": " للنقطة", "probability": 0.9278564453125}, {"start": 129.67, "end": 129.95, "word": " الأولى", "probability": 0.95849609375}, {"start": 129.95, "end": 130.29, "word": " النقطة", "probability": 0.7185465494791666}, {"start": 130.29, "end": 130.83, "word": " التانية", "probability": 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vector فى vector فى احتمالين الاول يطلع عند scalar الا اخر يطلع عند vector فهنا vector فى vector ممكن يطلع عند scalar او يطلع عند vector نجى للاحتمال الاول ان يطلع عند scalar عشان هيك بسمي scalar brother او الاسم التانى dot brother", "tokens": [1211, 15042, 5551, 11242, 2288, 5172, 8062, 6156, 7578, 8062, 6156, 7578, 1975, 33753, 2304, 6027, 9957, 42963, 12610, 7251, 9566, 1211, 3615, 43242, 39684, 42963, 1975, 34740, 7251, 9566, 1211, 3615, 43242, 8062, 6156, 3224, 8315, 8062, 6156, 7578, 8062, 3714, 43020, 7251, 9566, 1211, 3615, 43242, 39684, 1975, 2407, 7251, 9566, 1211, 3615, 43242, 8062, 8717, 7435, 7578, 24976, 995, 33753, 2304, 6027, 42963, 12610, 16472, 7251, 9566, 1211, 3615, 43242, 39684, 6225, 8592, 7649, 39896, 4117, 4724, 38251, 1829, 39684, 3708, 1975, 2407, 2423, 32277, 2304, 16712, 7649, 7578, 5893, 3708], "avg_logprob": -0.2934210545138309, "compression_ratio": 2.175757575757576, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 141.58, "end": 141.9, 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dot", "probability": 0.2427978515625}, {"start": 537.71, "end": 537.97, "word": " ال", "probability": 0.74951171875}, {"start": 537.97, "end": 538.35, "word": " I", "probability": 0.9189453125}], "temperature": 1.0}, {"id": 22, "seek": 54538, "start": 540.74, "end": 545.38, "text": "أتوقع إنه يقول قيمته جدًا واحد؟\nالـI قيمته جدًا واحد.", "tokens": [10721, 2655, 30543, 3615, 36145, 3224, 7251, 39648, 12174, 32640, 47395, 10874, 3215, 14111, 995, 36764, 24401, 22807, 198, 6027, 39184, 40, 12174, 32640, 47395, 10874, 3215, 14111, 995, 36764, 24401, 13], "avg_logprob": -0.5828598484848485, "compression_ratio": 1.25, "no_speech_prob": 0.0, "words": [{"start": 540.74, "end": 541.14, "word": "أتوقع", "probability": 0.684326171875}, {"start": 541.14, "end": 541.32, "word": " إنه", "probability": 0.4241943359375}, {"start": 541.32, "end": 541.44, "word": " يقول", "probability": 0.3045654296875}, {"start": 541.44, "end": 541.8, "word": " قيمته", "probability": 0.7001953125}, {"start": 541.8, 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/geNlYLdDS-0_postprocess.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/geNlYLdDS-0_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..bd4189c20634a27b754460f2c4c90179e6d90457
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/geNlYLdDS-0_postprocess.srt
@@ -0,0 +1,760 @@
+1
+00:00:04,990 --> 00:00:09,270
+يعطيك العافية، كل عام، كل عام تبخير، طبعا نتمنى
+
+2
+00:00:09,270 --> 00:00:14,310
+لكم السلامة، المساق اللي موجود عندنا اليوم هو مساق
+
+3
+00:00:14,310 --> 00:00:17,390
+فيزيا الف، مساق فيزيا الف طبعا كلكوا هتكونوا
+
+4
+00:00:17,390 --> 00:00:22,690
+مسجلينه ان شاء الله، مساق سهل، مش في أي صعوبة،
+
+5
+00:00:22,690 --> 00:00:29,280
+المساق بتكلم عن ال dynamicsطبعا هيكون المساق مقسم
+
+6
+00:00:29,280 --> 00:00:33,720
+الى اتناشر شفطة هنبدأ معاكم في هذا الشفطر الاول
+
+7
+00:00:33,720 --> 00:00:41,600
+الشفطر الاول عبارة عن مقدمةفي فيزيا لك يمكن
+
+8
+00:00:41,600 --> 00:00:44,960
+المقدمة أول حاجة هناخد الشفط الأول هو عبارة عن
+
+9
+00:00:44,960 --> 00:00:49,220
+measurement and vectors ممكن نركز .. هنركز كتير
+
+10
+00:00:49,220 --> 00:00:54,180
+على ال vectors ال vectors هو عبارة عن متجهات لأنه
+
+11
+00:00:54,180 --> 00:00:59,860
+احنا لما نتكلم عن كميات عن فيزيا نتكلم عن متجهات و
+
+12
+00:00:59,860 --> 00:01:04,560
+هنتكلم عن حاجة تانية اللي هي scalar كميات متجهة و
+
+13
+00:01:04,560 --> 00:01:10,750
+كميات قياسية كميات متجهة هنركز عليهاأكتير خاصة في
+
+14
+00:01:10,750 --> 00:01:16,350
+الفيزيا لما نأتي نتكلم عن القياساتلما اتكلم عن
+
+15
+00:01:16,350 --> 00:01:20,410
+physical quantity اي كمية فيزيائية اي كمية
+
+16
+00:01:20,410 --> 00:01:26,290
+فيزيائية بيلزمها حاجتين مهمات جدا اول حاجة قيمة
+
+17
+00:01:26,290 --> 00:01:32,010
+عددية و بعدين unit مانفعش اقول خمسة مثلا و اسكت
+
+18
+00:01:32,010 --> 00:01:36,850
+هذه رياضيات لكن لما اتكلم فيزياء بقول خمسة
+
+19
+00:01:36,850 --> 00:01:42,600
+kilogram خمسة secondخمس متر، خمس متر، خمس متر، خمس
+
+20
+00:01:42,600 --> 00:01:46,520
+متر، خمس متر، خمس متر، خمس متر، خمس متر، خمس متر،
+
+21
+00:01:46,520 --> 00:01:51,640
+خمس متر، خمس متر، خمس متر، خمس متر، خمس متر، خمس
+
+22
+00:01:51,640 --> 00:01:53,780
+متر، خمس متر، خمس متر، خمس متر، خمس متر، خمس متر،
+
+23
+00:01:53,780 --> 00:01:54,500
+خمس متر، خمس متر، خمس متر، خمس متر، خمس متر، خمس
+
+24
+00:01:54,500 --> 00:01:58,100
+خمس متر، خمس متر، خمس متر، خمس متر، خمس متر، خمس
+
+25
+00:01:58,100 --> 00:02:06,760
+متر، خمالأنظمة للقياس بستخدمها في القياس لما
+
+26
+00:02:06,760 --> 00:02:10,620
+أستخدم أي نظام لازم تكون كل الوحدات مالها
+
+27
+00:02:10,620 --> 00:02:16,910
+المستخدمة نفس الشيءمن نفس النظام، لو استخدم عندي
+
+28
+00:02:16,910 --> 00:02:23,170
+نظامين مختلفين لازم أحول من نظام لنظام آخر بحيث
+
+29
+00:02:23,170 --> 00:02:27,710
+يكون كله القيم الفيزيائية أو الكيميات الفيزيائية
+
+30
+00:02:27,710 --> 00:02:34,970
+معرفة بنفس النظام طبعا لما أتكلم عن أساسيات أو
+
+31
+00:02:34,970 --> 00:02:40,740
+الكيميات الأساسية في physiologyهتلاقوها تلت كميات
+
+32
+00:02:40,740 --> 00:02:47,020
+أساسية mass اللي هي كتلة length و time تلت وحدات
+
+33
+00:02:47,020 --> 00:02:53,800
+أو تلت كميات أساسية جميع الكميات
+
+34
+00:02:53,800 --> 00:02:58,600
+الفيزيائية اللي هنلاقيها معنا في هذا الفصل اللي هي
+
+35
+00:02:58,600 --> 00:03:05,530
+عبارة عن أو تشتق من التلت كميات الأساسيةطبعا نتكلم
+
+36
+00:03:05,530 --> 00:03:10,110
+الأنظمة المستخدمة في القياس طبعا لو سألت سؤال ايش
+
+37
+00:03:10,110 --> 00:03:14,430
+الطول؟ هتقول مباشرة هو متر او سنتمتر او قدم لكن
+
+38
+00:03:14,430 --> 00:03:19,230
+المتر والسنتمتر و القدم من وين جيبناهم؟ من الأنظمة
+
+39
+00:03:19,230 --> 00:03:23,740
+المستخدمةفى عندى international system هذا النظام
+
+40
+00:03:23,740 --> 00:03:29,640
+المتبع هنشتغل فيه ومتبع تقريبا بشكل كبير اللى هو
+
+41
+00:03:29,640 --> 00:03:34,840
+نظام الدولة طبعا ال length فى طول عبارة عن متر او
+
+42
+00:03:34,840 --> 00:03:40,940
+وحدة القياس عبارة عن متر gaussian system وحدة
+
+43
+00:03:40,940 --> 00:03:45,980
+القياس فى ال centimeter فى عندى leverage وحدة
+
+44
+00:03:45,980 --> 00:03:51,290
+القياس فى الفوترلو جيت ل ال mass و لا في عندي كتلة
+
+45
+00:03:51,290 --> 00:03:55,670
+تانية اللى عندى كمية قياسية او كمية فيزيائية تانية
+
+46
+00:03:55,670 --> 00:03:59,850
+اللى هي ال mass بال kilogram او في النظام التاني
+
+47
+00:03:59,850 --> 00:04:04,230
+بال gram او عند ال slug ال time بال second second
+
+48
+00:04:04,230 --> 00:04:08,930
+second هدول واحدة اللى ممكن انا استخدمهم في
+
+49
+00:04:08,930 --> 00:04:15,290
+الأنظمة و ممكن احول من نظام لنظام التحويل من نظام
+
+50
+00:04:15,290 --> 00:04:21,630
+بال centimeter ل meter سهللكن ال bridge في مشكلة
+
+51
+00:04:21,630 --> 00:04:27,190
+في factor لازم اضرب فيه بحيث انه يتحول من نظام ال
+
+52
+00:04:27,190 --> 00:04:37,850
+bridge لل international system لان ننتقل على اشي
+
+53
+00:04:37,850 --> 00:04:42,790
+مهم جدا اللي هو ال dimensionDimensional Analysis
+
+54
+00:04:42,790 --> 00:04:49,870
+أي وحدة فيزيائية أو آسف أي كمية فيزيائية إلها
+
+55
+00:04:49,870 --> 00:04:58,890
+dimension هذا ال dimension لل length مضموزه L للمس
+
+56
+00:04:58,890 --> 00:05:07,490
+M ل time T طب إيش مستفيد منه؟مهم جدا ان اعرف اي
+
+57
+00:05:07,490 --> 00:05:12,310
+معادلة فيزيائية فيها two sides، في عندي left و في
+
+58
+00:05:12,310 --> 00:05:18,150
+عندي right، لازم يكون ال left ال dimensions له نفس
+
+59
+00:05:18,150 --> 00:05:23,130
+ال dimensions لل right، يعني المعنى أبسط لما يكون
+
+60
+00:05:23,130 --> 00:05:28,960
+عنده تفاح زي التفاح، ايش بده يطلع عنده؟ تفاحبنفعش
+
+61
+00:05:28,960 --> 00:05:34,640
+أجمع dimensions مختلفة لازم يكون ال dimension كله
+
+62
+00:05:34,640 --> 00:05:38,180
+اللي موجود في الجهة اليمين بيساوي ال dimension
+
+63
+00:05:38,180 --> 00:05:42,180
+اللي موجود في الجهة اليسار يعني طلع عندي انا بجمع
+
+64
+00:05:42,180 --> 00:05:47,780
+length مع length طلع length لكن mass مع mass تطلع
+
+65
+00:05:47,780 --> 00:05:52,100
+mass يعني لو طلع عندي هنا L طرف التاني لازم يطلع L
+
+66
+00:05:52,100 --> 00:05:57,290
+طب لو طلع L على Tيعني length على سكن أو طول على
+
+67
+00:05:57,290 --> 00:06:01,630
+سكن الطرف التاني طلع عند ال بيكون المعادلة فيها
+
+68
+00:06:01,630 --> 00:06:04,630
+إيش فيها مشكلة إذا أنا ممكن أعرف المعادلة
+
+69
+00:06:04,630 --> 00:06:09,550
+الفيزيائية هل هي صحيحة ولا مش صحيحة من خلال ال
+
+70
+00:06:09,550 --> 00:06:16,010
+dimensions analysisطبعا أي كمية فيزيائية كلها
+
+71
+00:06:16,010 --> 00:06:19,970
+مشتقة من التلات كميات الأساسية اللي موجودة عندها،
+
+72
+00:06:19,970 --> 00:06:24,790
+تلات كميات الأساسية، يعني لو جيت ككمية فيزيائية،
+
+73
+00:06:24,790 --> 00:06:29,190
+مساحة، area، طبعا ال area إلها اتجاه، ليش إلها
+
+74
+00:06:29,190 --> 00:06:34,520
+اتجاه؟ يعني لو جيت لهذا السطرهذا السطح له مساحة،
+
+75
+00:06:34,520 --> 00:06:40,380
+هل ممكن أشوف هذه المساحة له مساحة إلا لما أطلع
+
+76
+00:06:40,380 --> 00:06:45,000
+عليها عمودية؟ إذا المساحة هي عمودية على وين؟ على
+
+77
+00:06:45,000 --> 00:06:49,360
+السطح اللي موجود عندك، إذا في عندي area، طبعا
+
+78
+00:06:49,360 --> 00:06:56,410
+عبارة عن التربية، طول فطولوحته القياس يابتكون
+
+79
+00:06:56,410 --> 00:07:01,430
+تبعاً للنظام عند متر أو سنتمتر تربية أو قدم تربية
+
+80
+00:07:01,430 --> 00:07:05,870
+عند الفلوسة الطوارئ في الفلوسة السرعة سرعة ك
+
+81
+00:07:05,870 --> 00:07:11,350
+vector ايش بتكون عند الفلوسة هي عبارة عن تغير في
+
+82
+00:07:11,350 --> 00:07:16,490
+ال displacement في الإزاحة إزاحة الجسم بنتقل الجسم
+
+83
+00:07:16,490 --> 00:07:21,990
+من نقطة لمين لنقطة تانية أنا عملت إزاحة للجسم خلال
+
+84
+00:07:21,990 --> 00:07:27,820
+فترة زمنيةتسبب بتعطينا هذه الشيء الـ Velocity الـ
+
+85
+00:07:27,820 --> 00:07:31,180
+Velocity هي الـ Dimension إلها الـ Dimension هي
+
+86
+00:07:31,180 --> 00:07:36,840
+التغير في الإزاحة على التغير في الـ Time وحدة
+
+87
+00:07:36,840 --> 00:07:41,040
+القياس المستخدمة تبعًا لنظام متر على سكن أو سنتمتر
+
+88
+00:07:41,040 --> 00:07:47,670
+على سكن أو فوت على سكنالان لو جيت quantity تانية
+
+89
+00:07:47,670 --> 00:07:52,410
+اللي هي عبارة عن ال force ال force اللي هي القوة
+
+90
+00:07:52,410 --> 00:07:59,070
+القوة اذا ذاكرين القوة هي عبارة عن ايش كتلة mass
+
+91
+00:08:06,010 --> 00:08:11,450
+القوة المؤثرة على الجسم تتناسب ترضيها مع مين؟ مع
+
+92
+00:08:11,450 --> 00:08:14,890
+ال acceleration فهذا عبارة عن acceleration وهذا
+
+93
+00:08:14,890 --> 00:08:22,430
+عبارة عن force لو جيت أقول ال acceleration ال
+
+94
+00:08:22,430 --> 00:08:30,090
+acceleration اللي هو التسارة هي القوة التسارةبيأثر
+
+95
+00:08:30,090 --> 00:08:35,090
+على مين؟ أو إيش هو التسارق؟ هو تغير في مين؟ في
+
+96
+00:08:35,090 --> 00:08:39,510
+السرعة بالنسبة أو على التغير في مين؟ في الزمن،
+
+97
+00:08:39,510 --> 00:08:44,430
+يعني التسارق، الجسم بتسارق، بتزيد سرعتهكل فترة
+
+98
+00:08:44,430 --> 00:08:50,370
+معينة يعني كل تسارع واحد ايش معناتها انه الآن
+
+99
+00:08:50,370 --> 00:08:54,830
+سرعته في الثانية الاولى واحد بعد الثانية بصير
+
+100
+00:08:54,830 --> 00:08:58,810
+اتنين تسارع معتمد عنه او معروف عنه اللي هو عجلة
+
+101
+00:08:58,810 --> 00:09:03,550
+الجاذبية الأرضية لما يسقط جسم تسارع الجاذبية
+
+102
+00:09:03,550 --> 00:09:07,970
+الأرضية تسارع الجاذبية الأرضية معروفة تسعة point
+
+103
+00:09:09,820 --> 00:09:16,060
+الان نتكلم على النقطة التانية او الكمية الموجودة
+
+104
+00:09:16,060 --> 00:09:21,240
+عند ال force ال force طبعا هي عبارة عن كتلة في
+
+105
+00:09:21,240 --> 00:09:24,820
+تسارة قانون نيوتين التاني و مار عليكم قانون نيوتين
+
+106
+00:09:24,820 --> 00:09:29,550
+التاني؟قانون ينتم تاني اللي هو عبارة عن ال force
+
+107
+00:09:29,550 --> 00:09:32,930
+تتناسب ترضيا مع ال acceleration إذا هنا في عندي
+
+108
+00:09:32,930 --> 00:09:36,610
+force قوة و هنا عندي acceleration طبعا ال
+
+109
+00:09:36,610 --> 00:09:40,210
+acceleration لو يجينا نذكرها ككمية فيزيائية هي
+
+110
+00:09:40,210 --> 00:09:44,800
+كمية متجهةوهذا كمية متجهة وانا بركز على كمية متجهة
+
+111
+00:09:44,800 --> 00:09:48,880
+لانه هميز الاد بالكمية المتجهة والكمية القياسية
+
+112
+00:09:48,880 --> 00:09:54,720
+الكمية المتجهة هي عبارة عن تغير في السرعة بالنسبة
+
+113
+00:09:54,720 --> 00:10:00,820
+لمن؟ تغير في السرعة على التغير في الزمنالتغيير في
+
+114
+00:10:00,820 --> 00:10:04,180
+السرعة يعني لو جيجينا ناخد مثال ال acceleration
+
+115
+00:10:04,180 --> 00:10:10,400
+واحد متر per second squared واحد متر ايش تفسيرها
+
+116
+00:10:10,400 --> 00:10:15,620
+انه سرعة الجسم لو اعتبرناها بدا من السكون سرعة
+
+117
+00:10:15,620 --> 00:10:20,780
+الجسم تزداد كل ثانية بمقدار واحد يعني سرعته الآن
+
+118
+00:10:20,780 --> 00:10:25,320
+واحدبعد ثانية ديان، وبعد ثانية تالتة، تصبح سرعته
+
+119
+00:10:25,320 --> 00:10:29,300
+تلاتة، يعني سرعت الجسم بابقى من السكون، من الصفر،
+
+120
+00:10:29,300 --> 00:10:35,400
+وبدأ اتمالها تزداد تدرجيا. الآن، لو أنا أخد المثال
+
+121
+00:10:35,400 --> 00:10:40,340
+آخر، اللي هو عجلة ال gravity، acceleration، اللي
+
+122
+00:10:40,340 --> 00:10:44,180
+هي ناشعة من عجلة الجانبية الأرضية، الجسم عنده،
+
+123
+00:10:44,180 --> 00:10:48,930
+وسقط هذا الجسم، سقطبسقط بتأثير مين؟ الجاذبية
+
+124
+00:10:48,930 --> 00:10:55,370
+الأرضية الجاذبية الأرضية كم قيمتها؟ 9.8 رقم زائد
+
+125
+00:10:55,370 --> 00:11:00,690
+ال unit متر على second square متر على second
+
+126
+00:11:00,690 --> 00:11:04,530
+square هي الوحدة، إذا القيمة زائد واحدة، في حاجة
+
+127
+00:11:04,530 --> 00:11:09,590
+كمان اتجاه، لأن بقولك أنا متجاه، وين اتجاهها؟ إلى
+
+128
+00:11:09,590 --> 00:11:13,550
+أسفلوهذا احنا هنتكلم عنه في المتجهات، إذا ال
+
+129
+00:11:13,550 --> 00:11:18,110
+acceleration هي تغير في سرعة، على التغير في مين؟
+
+130
+00:11:18,110 --> 00:11:22,390
+على التغير في الزمن، لما أتي أحسب ال dimension
+
+131
+00:11:22,390 --> 00:11:27,560
+لها، أنا من البداية عارف ال dimension لمينلأ الـ
+
+132
+00:11:27,560 --> 00:11:33,420
+Velocity هي عبارة عن L على T إذا بقدر أقول L على T
+
+133
+00:11:33,420 --> 00:11:38,860
+هذا ال dimension لمين؟ لل Velocity على تغير في زمن
+
+134
+00:11:38,860 --> 00:11:45,100
+ال dimension للزمن مش هو ال T L على T على T كأنها
+
+135
+00:11:45,100 --> 00:11:50,380
+على T على 1 إذا بيصير عند L على T² إذا ال
+
+136
+00:11:50,380 --> 00:11:56,740
+dimensionللـ acceleration L على T² إذا لو أنا جيت
+
+137
+00:11:56,740 --> 00:12:01,200
+حسبت ال force ال force ال dimension إلها إيش هيكون
+
+138
+00:12:01,200 --> 00:12:05,160
+ال dimension إلها ال dimension للمس في ال
+
+139
+00:12:05,160 --> 00:12:08,440
+dimension لمين لل acceleration ال dimension لل
+
+140
+00:12:08,440 --> 00:12:13,180
+acceleration L على T تنبيع ال dimension للمس M إذا
+
+141
+00:12:13,180 --> 00:12:23,320
+حسي رنج Mأو فئل على T ترجع بمعنى
+
+142
+00:12:23,320 --> 00:12:30,100
+آخر أي كمية فيزيائية لازم أطلع لها dimension خاص
+
+143
+00:12:30,100 --> 00:12:33,660
+بيها من ال dimension أنا بقدر أعرف ال units
+
+144
+00:12:33,660 --> 00:12:37,260
+المستخدمة من ال dimension أنا بقدر أعرف المعادلة
+
+145
+00:12:37,260 --> 00:12:42,180
+صحيحة ولا لامن ال dimension بقدر أحدد صحة المعادلة
+
+146
+00:12:42,180 --> 00:12:45,780
+من ال dimension بقدر إذا في constant معين في
+
+147
+00:12:45,780 --> 00:12:51,400
+المعادلة بقدر أحدد قيمته إذا لما أتكلم عن ال
+
+148
+00:12:51,400 --> 00:12:57,180
+dimension ال dimension ال analysis موضوع مهم في
+
+149
+00:12:57,180 --> 00:13:00,580
+معرفة أشياء كثيرة عن المعادلة الفيزيائية عن
+
+150
+00:13:00,580 --> 00:13:05,480
+الكيميا الفيزيائية عن صحة المعادلة الفيزيائية لو
+
+151
+00:13:05,480 --> 00:13:11,370
+جينا لل energyالانيرجيا بنفس الطريقة قبل دراجيها
+
+152
+00:13:11,370 --> 00:13:18,170
+تمر عليها رافشة بطار سبعة ام فقال تربيع على T
+
+153
+00:13:18,170 --> 00:13:25,530
+تربيع وحدتها معروفة جول تبع للنظام او الارد او تبع
+
+154
+00:13:25,530 --> 00:13:29,330
+للنظام المستخدم عنده اذا عند اخر حاجة الانيرجيا
+
+155
+00:13:29,330 --> 00:13:33,650
+الانيرجيا هنتكلم عنها ال dimension ايها ام التربيع
+
+156
+00:13:33,650 --> 00:13:35,290
+على T square
+
+157
+00:13:38,100 --> 00:13:41,580
+الان ناخد مثال على ال dimension analysis بقول ان
+
+158
+00:13:41,580 --> 00:13:45,500
+ال dimension analysis بفواد كتير جدا اذا انا في
+
+159
+00:13:45,500 --> 00:13:53,940
+عند مثال او عند معادلة هذه المعادلة هي عبارة
+
+160
+00:13:53,940 --> 00:14:03,460
+عن X تتمثل displacement ايه زيها؟ V0 T زائد نص A T
+
+161
+00:14:03,460 --> 00:14:06,600
+square V0 هذي velocity
+
+162
+00:14:10,500 --> 00:14:16,220
+هنا عندي acceleration و
+
+163
+00:14:16,220 --> 00:14:19,960
+الـ T عبارة عن الوقت و هنا عبارة عن الـ
+
+164
+00:14:19,960 --> 00:14:24,980
+displacement مكان موضع تغيّر الجسم إذا الموضع
+
+165
+00:14:24,980 --> 00:14:29,140
+تغيّر الجسم يعتمد على هذه المعادلة هل هذه المعادلة
+
+166
+00:14:29,140 --> 00:14:33,910
+صحيحة ولا لأ؟ في عندي ايش؟ left و rightالـ Left
+
+167
+00:14:33,910 --> 00:14:40,130
+Displacement اذاها الـ Dimension اللي هو الـ L
+
+168
+00:14:40,130 --> 00:14:44,690
+نيجي للطرفين، الطرفين عبارة عن مجموع حاجتين وانا
+
+169
+00:14:44,690 --> 00:14:48,950
+اقولك من البداية مجموع حاجتين، لازم يكون ال
+
+170
+00:14:48,950 --> 00:14:52,630
+dimension للحاجة الأولى نفس ال dimension للحاجة
+
+171
+00:14:52,630 --> 00:14:58,830
+التانية، اذا بقدر اقول Vأخذناها قبل شوية لأن ل على
+
+172
+00:14:58,830 --> 00:15:03,630
+T مضروبة في الـ T لذلك بيطلع عند L على T مضروبة في
+
+173
+00:15:03,630 --> 00:15:11,210
+الـ T بيروح و بيطلع L لذلك عند ال S بيقل V mod في
+
+174
+00:15:11,210 --> 00:15:17,450
+T بيطلع L لازم هذا الطرف يطلع كمانالـDimension له
+
+175
+00:15:17,450 --> 00:15:21,110
+إيش؟ هيبقى روحان L نزل نشوفه الـA معروف
+
+176
+00:15:21,110 --> 00:15:27,390
+الـDimension لها L على T تربيه T Square الآن مضروب
+
+177
+00:15:27,390 --> 00:15:32,530
+في T Square L على T Square في T Square بطلع عندي L
+
+178
+00:15:32,530 --> 00:15:37,050
+إذا بطلع عندي L بساوي L زائد L إذا الـDimension في
+
+179
+00:15:37,050 --> 00:15:40,090
+هذه الحالة بيكون صحيحة لطرفين المعادلة إذا
+
+180
+00:15:40,090 --> 00:15:43,930
+المعادلة هي هذه من حيث الأجعاد تحتوى المعادلة
+
+181
+00:15:43,930 --> 00:15:51,970
+صحيحة 100%طيب لو انا اعطيك معادل اي معادل اقول لك
+
+182
+00:15:51,970 --> 00:16:02,540
+مثلا V بتساوي A في T كمثال V بتساوي A في TV بيساوي
+
+183
+00:16:02,540 --> 00:16:06,420
+A في T هل هذا المعادلة صحيحة ولا لأ؟ V بيساوي A في
+
+184
+00:16:06,420 --> 00:16:15,940
+T بدأت تجيب الـV عبارة عن L على T الـA L على T
+
+185
+00:16:15,940 --> 00:16:22,260
+square مضروبة في Tأيش هتلاحظ دي مع كي بتروح بيصير
+
+186
+00:16:22,260 --> 00:16:25,720
+عند L على T و L على T إذا ما بتعملش فيها دي معادلة
+
+187
+00:16:25,720 --> 00:16:30,200
+ممكن يكون A عشان صحيحة بس محتاج أحيان ال constant
+
+188
+00:16:30,200 --> 00:16:35,040
+لتصحيح هذه A معادلة إذا لو كانت عند المعادلة فيها
+
+189
+00:16:35,040 --> 00:16:38,980
+طرفين أنا بقدر أعمل test للطرف الأيمن والطرف
+
+190
+00:16:38,980 --> 00:16:43,600
+الأيسر و بقدر أحدد المعادلة من حيث الأجهد صحيحة
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/haZ5gHEw164.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/haZ5gHEw164.srt
new file mode 100644
index 0000000000000000000000000000000000000000..dca38e4464cc9aac3e2ae4aded0e253e0d1c1835
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/haZ5gHEw164.srt
@@ -0,0 +1,679 @@
+
+1
+00:00:04,960 --> 00:00:08,540
+السلام عليكم ويعطيكم العافية. المحاضرة هذه نحاول
+
+2
+00:00:08,540 --> 00:00:14,240
+نكمل اللي هو Chapter عشرة. طبعاً Chapter عشرة قلنا
+
+3
+00:00:14,240 --> 00:00:16,980
+في الجزء الأخير اللي قلته في المحاضرة السابقة
+
+4
+00:00:16,980 --> 00:00:22,560
+أن الطاقة الحركية للـ rotation  إيش بتساوي؟ نص I
+
+5
+00:00:22,560 --> 00:00:29,860
+أوميغا تربيع. يعني لو أنا عندي جسمين، وفي بكرة عندي
+
+6
+00:00:29,860 --> 00:00:34,590
+هنا بتتحرك،  وهذه تتحرك، نزل مسافة، و
+
+7
+00:00:34,590 --> 00:00:37,350
+ليكن  هنا سنتين متر، وهذه تتحرك نفس
+
+8
+00:00:37,350 --> 00:00:41,250
+المسافة. البكرة مالها؟  بالنسبة للدور اللي لها طاقة
+
+9
+00:00:41,250 --> 00:00:45,090
+initial و طاقة final. إذا كانت الدورة قبل ولا
+
+10
+00:00:45,090 --> 00:00:48,110
+ما كانتش دورة، وإذا ما كانتش دورة بيكون طاقتها zero.
+
+11
+00:00:48,110 --> 00:00:50,810
+صارت دورة، بيصير لها طاقة final. جدش قيمتها؟
+
+12
+00:00:50,810 --> 00:00:55,450
+نص I أوميغا تربيع، وما أنساش أن الأوميغا بتساوي V على
+
+13
+00:00:55,450 --> 00:00:59,980
+R. اللي هو هذا الكلام بنطبقه في هذا المثال، بيقول في
+
+14
+00:00:59,980 --> 00:01:04,700
+عندي عجلة أو في عندي بكرة فيها كتلتين، الكتلة
+
+15
+00:01:04,700 --> 00:01:08,780
+الأولى M1، والكتلة الثانية M2. الكتلة الأولى نزلت،
+
+16
+00:01:08,780 --> 00:01:14,400
+والكتلة الثانية إيش بتصير فيها؟ بدها تطلع طبعاً. نزلت
+
+17
+00:01:14,400 --> 00:01:19,260
+بدي آخذ level زي ما كنا نحل في Chapter سبعة. level قلنا
+
+18
+00:01:19,260 --> 00:01:23,760
+إحنا إذا ذاكرين، في عندي level. هذا level واحد بيساوي
+
+19
+00:01:23,760 --> 00:01:27,100
+بأخده zero. ممكن آخذ لكل اثنين level واحد، وممكن آخذ لكل
+
+20
+00:01:27,100 --> 00:01:34,860
+واحد level خاص به. بدي آخذ M2، هي M2، وهي M1. M2 U2
+
+21
+00:01:34,860 --> 00:01:42,300
+بيساوي zero. هنا U1 بيساوي zero. آخذ الـ level للأول، و
+
+22
+00:01:42,300 --> 00:01:44,900
+level للثاني. بعد ما آخذ الـ level للأول، و level
+
+23
+00:01:44,900 --> 00:01:48,980
+للتاني، ببدأ أشوف الجسم وين كان، ووين صار. هنا الجسم
+
+24
+00:01:48,980 --> 00:01:54,620
+الأول، واحد initial. كتاب الأسود كان هنا، بدأ من
+
+25
+00:01:54,620 --> 00:02:00,920
+السكون. إذا واحد initial، وواحد final. الجسم الثاني
+
+26
+00:02:00,920 --> 00:02:07,020
+كان هنا، اثنين initial، واثنين final. بدأ من هنا ووصل
+
+27
+00:02:07,020 --> 00:02:12,360
+لهنا، وبدأ من هنا ووصل لهنا. بدأ من السكون. V واحد
+
+28
+00:02:12,360 --> 00:02:15,320
+initial بتساوي زيرو. V اللي هنا نفس V اللي هنا، لأن
+
+29
+00:02:15,320 --> 00:02:18,760
+مربوطين بنفس الخيط. إذا V هنا بتساوي زيرو. بدأ من
+
+30
+00:02:18,760 --> 00:02:23,180
+السكون. أوميغا هنا بتساوي زيرو. أوميغا initial بتساوي
+
+31
+00:02:23,180 --> 00:02:23,560
+زيرو.
+
+32
+00:02:26,970 --> 00:02:33,710
+إذا ببدأ أقول E initial بتساوي E final، أو دلتا K
+
+33
+00:02:33,710 --> 00:02:38,310
+زي دلتا U بتساوي Zero. نكتب E initial بتساوي E
+
+34
+00:02:38,310 --> 00:02:42,760
+final. إيش فيه؟  ΔK + ΔU بنفس
+
+35
+00:02:42,760 --> 00:02:46,960
+المعنى. E initial، كم جسم عندنا؟ جسمين، والبكرة
+
+36
+00:02:46,960 --> 00:02:51,720
+بقول الجسم الأول U1 initial زائد K1 initial. كل
+
+37
+00:02:51,720 --> 00:02:57,500
+واحد له طاقتي وضع وحركة. زائد U2 initial زائد K2
+
+38
+00:02:57,500 --> 00:03:05,860
+initial، زائد K للبكرة للـ rotation initial، بيساوي
+
+39
+00:03:05,860 --> 00:03:09,120
+U1 final زائد K1 final.
+
+40
+00:03:16,330 --> 00:03:21,110
+مين بيساوي زيرو؟ نجي للجسم الأول، بدأ من السكون. طاقة
+
+41
+00:03:21,110 --> 00:03:24,230
+الحركة بتساوي زيرو، وطاقة الوضع بتساوي زيرو. إذا
+
+42
+00:03:24,230 --> 00:03:26,650
+الاثنين بيساوي زيرو. في الـ initial هي الـ
+
+43
+00:03:26,650 --> 00:03:31,710
+initial. نجي للثاني، الاثنين initial إله طاقة وضع
+
+44
+00:03:31,710 --> 00:03:35,130
+إله ارتفاع عن الـ level قيمته H. إذا بقدر أقول هذه
+
+45
+00:03:35,130 --> 00:03:39,900
+إيه لها قيمة، قيمتها M اثنين في G في H، في
+
+46
+00:03:39,900 --> 00:03:45,560
+الارتفاع. K اثنين initial. بدأ من وين؟ من السكون. إذا
+
+47
+00:03:45,560 --> 00:03:49,940
+هذه راحة البكرة كانت الـ initial اللي لها زيرو. راحة
+
+48
+00:03:49,940 --> 00:03:56,060
+بتساوي زيرو. خلصنا من الجزء الأول. الـ final. U واحد final
+
+49
+00:03:56,060 --> 00:04:00,540
+واحد final هي ارتفعت عن الـ level مسافة قد إيش؟ H
+
+50
+00:04:00,540 --> 00:04:07,590
+إذا بقول M واحد في G في H. K واحد final. واحد final
+
+51
+00:04:07,590 --> 00:04:11,530
+صار لها سرعة هنا، لأنها لازم تظل نازلة حتى لو أنا
+
+52
+00:04:11,530 --> 00:04:15,630
+وقفتها. لها سرعة، هتخبط في حاجة. لذا هنا في عندها
+
+53
+00:04:15,630 --> 00:04:22,310
+زائد نص M واحد V تربيع. زائد U اثنين final.  اثنين
+
+54
+00:04:22,310 --> 00:04:27,950
+final. وصلت إيش الـ level؟ خلصنا منها. K اثنين final لها
+
+55
+00:04:27,950 --> 00:04:34,570
+نفس السرعة، قيمتها نص M اثنين V تربيع. هذا الوضع
+
+56
+00:04:34,570 --> 00:04:37,950
+له قيمة، وهذا له قيمة، وهذا له قيمة. K rotation
+
+57
+00:04:37,950 --> 00:04:41,930
+الآن. هذا كل الـ system متحرك. هذا كمان في الـ
+
+58
+00:04:41,930 --> 00:04:45,730
+final. أوميغا final. صار متحرك، وقيمتها أوميغا final
+
+59
+00:04:45,730 --> 00:04:55,410
+بتساوي V على مين؟ على R. إذا بقول زائد نص
+
+60
+00:04:55,410 --> 00:05:02,740
+I أوميغا تربيع. وبشيل الأوميغا تربيع هنا، وبحط محلها
+
+61
+00:05:02,740 --> 00:05:09,160
+V تربيع على مين؟ على R. الآن هذا الـ equation على الطرف
+
+62
+00:05:09,160 --> 00:05:19,180
+الثاني بيصير M2 ناقص M1 في G في H بتساوي نص عامل
+
+63
+00:05:19,180 --> 00:05:24,760
+مشترك في الأنصاف كلهم. فيدي هنا M1 في V زائد M2
+
+64
+00:05:24,760 --> 00:05:27,760
+زائد I على R
+
+65
+00:05:31,610 --> 00:05:35,830
+M1 مُعطى، أي إن كانت الكتلة ومعطناش إياها. M2، الـ I
+
+66
+00:05:35,830 --> 00:05:40,370
+إذا كانت بكرة ومعطناش إياها، بتساوي نص كتلة البكرة
+
+67
+00:05:40,370 --> 00:05:45,530
+في نص في القطر تربيع. كله موجود عندنا، بقدر أطلع
+
+68
+00:05:45,530 --> 00:05:52,630
+قيمة الـ V. إذا بدي الـ V، الـ V مضروب أُسّف هنا في V
+
+69
+00:05:52,630 --> 00:05:56,250
+تربيع. بنأخذ هذا على الطرف الثاني، بيصير عليه، وبأخذ
+
+70
+00:05:56,250 --> 00:05:58,810
+الجذر للطرفين، بطلع قيمة الـ V.
+
+71
+00:06:03,770 --> 00:06:06,950
+بعد ما أطلع قيمة الـ V، بطلع قيمة الأوميغا. بجيبها على R
+
+72
+00:06:06,950 --> 00:06:10,410
+هذا كله على R، هذا كله على R، وبرتب المعادلة، بطلع
+
+73
+00:06:10,410 --> 00:06:14,970
+قيمة أوميغا الآن.
+
+74
+00:06:14,970 --> 00:06:19,330
+آخر جزئية عندي، الـ angular momentum في هذا الـ
+
+75
+00:06:19,330 --> 00:06:28,390
+chapter. الـ
+
+76
+00:06:28,390 --> 00:06:49,650
+angular momentum يُعرّف is defined as R × P. R
+
+77
+00:06:49,650 --> 00:06:56,590
+× P. R × P. R ×
+
+78
+00:06:56,590 --> 00:07:04,030
+P. R × P. R × P. R × P. طبعاً أنا جبت فيه  اندِ جسم الـ
+
+79
+00:07:04,030 --> 00:07:10,610
+L particle. أخذته على قرص، بيده M
+
+80
+00:07:10,610 --> 00:07:14,470
+الكتلة. ميله في R في البعد العمودي. طبعاً لأن في
+
+81
+00:07:14,470 --> 00:07:18,270
+هنا R cross، فيه sign. لو كانت عند R sign، الزاوية
+
+82
+00:07:18,270 --> 00:07:22,990
+كأنه بتتكلم عن الذراع هنا، أو عن البعد العمودي، و
+
+83
+00:07:22,990 --> 00:07:26,370
+فيه بتحرك في مسار دائرة، قوة مماسية، سرعة مماسية.
+
+84
+00:07:26,370 --> 00:07:33,560
+لذا L i بتساوي M i في V i. ما أنساش أن الـ V بتساوي R في
+
+85
+00:07:33,560 --> 00:07:39,140
+أوميغا. بيصير عندي R تربيع. الآن هذا لواحد، لكل واحد
+
+86
+00:07:39,140 --> 00:07:41,900
+لما بدي أجيب الكل، إيش بدي أعمل؟ بدي أعمل الـ
+
+87
+00:07:41,900 --> 00:07:45,380
+summation. إذا الـ L هو summation للـ L لجميع
+
+88
+00:07:45,380 --> 00:07:49,300
+الـ elements الموجودة عندنا. الـ summation هو التكامل. هو
+
+89
+00:07:49,300 --> 00:07:55,670
+التكامل. هو بيساوي M i في R i تربيع. وهذه هي الـ I. إذا الـ
+
+90
+00:07:55,670 --> 00:08:02,150
+angular momentum بيساوي I في أوميغا. إيش بتلاحظوا؟ الـ
+
+91
+00:08:02,150 --> 00:08:08,130
+linear momentum بيساوي M في V، و
+
+92
+00:08:08,130 --> 00:08:12,110
+الـ angular momentum I في أوميغا. من هذا الكلام، الـ
+
+93
+00:08:12,110 --> 00:08:18,530
+force بتروح للـ torque، الأوميغا بتروح للـ V،  الـ alpha
+
+94
+00:08:18,530 --> 00:08:28,100
+بتروح للـ A، الكتلة بتروح للـ I، الـ x بتروح لثيتا، مش
+
+95
+00:08:28,100 --> 00:08:36,040
+فيه عندي كمان، كل حاجة كطرف، آسف هذا ليس T، طرف،
+
+96
+00:08:36,040 --> 00:08:39,240
+لذا
+
+97
+00:08:39,240 --> 00:08:42,760
+فإن كلهم في علاقة مربوطة بينهم. طيب الآن
+
+98
+00:08:42,760 --> 00:08:48,720
+Conservation of momentum. Conservation of angular
+
+99
+00:08:48,720 --> 00:08:54,160
+momentum. إذا ما كان هناك قوة خارجية. إذا ما كان
+
+100
+00:08:54,160 --> 00:08:59,980
+هناك
+
+101
+00:08:59,980 --> 00:09:03,160
+قوة
+
+102
+00:09:03,160 --> 00:09:06,400
+خارجية.
+
+103
+00:09:06,400 --> 00:09:12,860
+إذا ما كان هناك قوة خارجية. إذا ما كان هناك قوة
+
+104
+00:09:12,860 --> 00:09:13,060
+خارجية. إذا ما كان هناك قوة خارجية. إذا ما كان هناك
+
+105
+00:09:13,060 --> 00:09:14,920
+خارجية. إذا ما كان هناك قوة خارجية. إذا ما كان هناك
+
+106
+00:09:14,920 --> 00:09:19,630
+قوة خارجية،  الـ
+
+107
+00:09:19,630 --> 00:09:23,850
+initial، هذا لو كان  system إذا كان فيش عندها أي قوة..
+
+108
+00:09:23,850 --> 00:09:28,190
+system لحاله، يعني ما فيش قوة خارجية. إذا لما آجي
+
+109
+00:09:28,190 --> 00:09:32,610
+أتكلم، الـ initial بتساوي الـ final لما يكون.. ما فيش
+
+110
+00:09:32,610 --> 00:09:37,230
+قوة خارجية. external to work بيكون قد إيش قيمته؟ zero.
+
+111
+00:09:38,220 --> 00:09:43,040
+لأن الـ force بتعطيني torque. لما كانت الـ force الـ
+
+112
+00:09:43,040 --> 00:09:46,180
+external force بتساوي zero، في الـ linear كان الـ p
+
+113
+00:09:46,180 --> 00:09:50,720
+initial بتساوي الـ p final. يعني هنا بقدر أضيف الـ p
+
+114
+00:09:50,720 --> 00:09:55,160
+بتعطيني الـ L. الانجلال المميزة هنا، لما الـ torque
+
+115
+00:09:55,160 --> 00:09:58,280
+يساوي صفر. لما الـ torque يساوي.. لما الـ torque يساوي.. لما
+
+116
+00:09:58,280 --> 00:10:02,160
+الـ torque يساوي.. لما الـ torque يساوي.. لما الـ torque
+
+117
+00:10:02,160 --> 00:10:03,920
+يساوي.. لما الـ torque يساوي.. لما الـ torque يساوي.. لما
+
+118
+00:10:03,920 --> 00:10:05,420
+الـ torque يساوي.. لما الـ torque يساوي.. لما الـ torque
+
+119
+00:10:05,420 --> 00:10:06,600
+يساوي.. لما الـ torque يساوي.. لما الـ torque يساوي.. لما
+
+120
+00:10:06,600 --> 00:10:06,860
+الـ torque يساوي.. لما الـ torque يساوي.. لما الـ torque
+
+121
+00:10:06,860 --> 00:10:07,140
+يساوي.. لما الـ torque يساوي.. لما الـ torque يساوي.. لما
+
+122
+00:10:07,140 --> 00:10:08,960
+يساوي.. لما الـ torque يساوي.. لما الـ torque يساوي.. لما
+
+123
+00:10:08,960 --> 00:10:13,580
+الـ torque يساوي صفر.  في عندي تو ديسك.  واحد كتلته
+
+124
+00:10:13,580 --> 00:10:16,500
+واحد كيلوغرام، نصف قطره  هالقد، والثاني أربعة كيلو
+
+125
+00:10:16,500 --> 00:10:22,960
+غرام، نصف قطره هالقد. الديسكين معاهم  rotation و initial
+
+126
+00:10:22,960 --> 00:10:29,260
+angular velocity ثمانين rad per second، والثاني
+
+127
+00:10:29,260 --> 00:10:33,580
+الأثقل بدور  بـ  اثنين وأربعين rad per second.
+
+128
+00:10:33,580 --> 00:10:41,510
+الثاني معاهم دفعتهم to contact. أنا عندي ديسك إيه
+
+129
+00:10:41,510 --> 00:10:47,430
+واحد، والثاني بدوروا، واحد بتصار أزاويه هكذا، والثاني
+
+130
+00:10:47,430 --> 00:10:50,990
+بتصار أزاويه هكذا. دفعتهم، واتحدوا مع بعض، صاروا
+
+131
+00:10:50,990 --> 00:10:54,150
+الاثنين يدوروا، يعني واحد فوق الثاني زي هيك، صاروا
+
+132
+00:10:54,150 --> 00:10:58,010
+يدوروا مع بعض بأوميغا جديد. بدي أحسب الأوميغا
+
+133
+00:10:58,010 --> 00:11:03,890
+الجديد دي قد إيش قيمتها؟ هقول I واحد. كم جسم عندي؟ عندي
+
+134
+00:11:03,890 --> 00:11:09,480
+جسمين. بدي أقول الـ initial بتساوي الـ final. L1
+
+135
+00:11:09,480 --> 00:11:13,780
+initial زائد L2 initial. زي الـ momentum. p1 initial
+
+136
+00:11:13,780 --> 00:11:19,920
+زائد p2 initial بيساوي L1 final زائد L2 final. L1
+
+137
+00:11:19,920 --> 00:11:26,280
+initial. I1 في أوميغا 1 initial زائد I2 في أوميغا 2
+
+138
+00:11:26,280 --> 00:11:32,200
+initial. زي الكتلة. M1 في V1 initial، M2 في V2 initial. بيساوي
+
+139
+00:11:32,200 --> 00:11:37,000
+I1 في أوميغا 1
+
+140
+00:11:38,290 --> 00:11:42,370
+final زائد I اثنين في أوميغا اثنين final. final
+
+141
+00:11:42,370 --> 00:11:47,790
+final final final final final final final final
+
+142
+00:11:47,790 --> 00:11:48,590
+final final final final final final final final
+
+143
+00:11:48,590 --> 00:11:56,290
+final final final final final final final final
+
+144
+00:11:56,290 --> 00:12:01,710
+final final
+
+145
+00:12:02,520 --> 00:12:05,400
+في هذه الحالة، الـ I في الأول ما كان له قيمة، لكن في
+
+146
+00:12:05,400 --> 00:12:09,920
+الثاني صار له قيمة، لأنه له ذراع، صار نازل، وصار عنده
+
+147
+00:12:09,920 --> 00:12:14,260
+بعد عن المحور. بيساوي إيش؟ عنده صار I جديد، اللي هي
+
+148
+00:12:14,260 --> 00:12:21,260
+M في R تربيعه. الـ I واحد قيمتها معروفة للـ disk، إيش
+
+149
+00:12:21,260 --> 00:12:27,680
+بتساوي؟ الـ I للـ disk نص M R تربيع. لذا الـ I واحد نص
+
+150
+00:12:27,680 --> 00:12:33,410
+M واحد R واحد تربيع. طلعت قيمته. I2 نص M2 R2 تربيع.
+
+151
+00:12:33,410 --> 00:12:36,270
+طبعاً الـ disk بتغير شكله، إذا بتغير شكله بتغيرت الـ I
+
+152
+00:12:36,270 --> 00:12:39,830
+لما بتغير شكله، بيبقى الـ I معه ثابت. هاي الـ I
+
+153
+00:12:39,830 --> 00:12:43,370
+للثاني. بدي أقول I واحد في أوميغا واحد initial زائد
+
+154
+00:12:43,370 --> 00:12:46,570
+I2 في أوميغا اثنين initial بيساوي I واحد زائد I
+
+155
+00:12:46,570 --> 00:12:50,610
+اثنين في أوميغا final. هذا بيشبهنا بتفصل اثنين
+
+156
+00:12:50,610 --> 00:12:54,490
+اصطدموا في بعض،  contact بينهم، ومشوا مع بعض في
+
+157
+00:12:54,490 --> 00:12:59,760
+أوميغا جديد.  منها بطلع قيمة الأوميغا final. بأعوّض وأطلع
+
+158
+00:12:59,760 --> 00:13:05,600
+قيمة الأوميغا final. قد إيش قيمته؟ إزاي ممكن يعطيني
+
+159
+00:13:05,600 --> 00:13:09,120
+سؤال من الأسئلة الموجودة عندكم، اللي هو شخص هنا أو
+
+160
+00:13:09,120 --> 00:13:13,640
+هنا مثلاً، شخص بيتحرك على desk أو على طاولة
+
+161
+00:13:13,640 --> 00:13:17,360
+بتدور، ووزنه
+
+162
+00:13:17,360 --> 00:13:21,760
+سبعين كيلوغرام. هو
+
+163
+00:13:21,760 --> 00:13:23,080
+بيتحرك على هذه الطاولة
+
+164
+00:13:29,460 --> 00:13:34,560
+وبيتحرك باتجاه المركز. لما وصل إلى المركز، إذا أول
+
+165
+00:13:34,560 --> 00:13:41,300
+حاجة، في عندك طاولة بتدور، وبتعمل one revolution in
+
+166
+00:13:41,300 --> 00:13:46,740
+خمسة عشر second. one revolution، إيش معناته؟ أوميغا
+
+167
+00:13:46,740 --> 00:13:51,860
+بتساوي one revolution، واحد في اثنين باي على خمسة عشر
+
+168
+00:13:51,860 --> 00:13:56,340
+لفة واحدة، في كل لفة اثنين باي على زمنها خمسة عشر
+
+169
+00:13:56,340 --> 00:14:02,480
+second. الـ I لها قد إيش قيمتها؟ الـ I ألف كيلوغرام متر
+
+170
+00:14
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/haZ5gHEw164_postprocess.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/haZ5gHEw164_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..a8445f5d71d0348c69b82b22d98dc3aa91ce6741
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/haZ5gHEw164_postprocess.srt
@@ -0,0 +1,816 @@
+1
+00:00:04,960 --> 00:00:08,540
+السلام عليكم يعطيكوا العافية المحاضرة هذه نحاول
+
+2
+00:00:08,540 --> 00:00:14,240
+نكمل اللي هو chapter عشرة طبعا chapter عشرة قلنا
+
+3
+00:00:14,240 --> 00:00:16,980
+أنا الجزئي الأخير اللي قلتها في المحاضرة السابقة
+
+4
+00:00:16,980 --> 00:00:22,560
+أنه الكائنة تكنيجي لل rotation ايش بتساوي نص I
+
+5
+00:00:22,560 --> 00:00:29,860
+omega square يعني لو انا عندى جسمين وفي بكرة عندى
+
+6
+00:00:29,860 --> 00:00:34,590
+هنا بتتحركبدأ أدخل حسابات و هذة اتحرك نزل مسافة و
+
+7
+00:00:34,590 --> 00:00:37,350
+ليه كنت عايش هنا صنط اتنين متر و هذة اتحرك نفس
+
+8
+00:00:37,350 --> 00:00:41,250
+المسافة البكره مالها الان بالدور اللي لها كائنتك
+
+9
+00:00:41,250 --> 00:00:45,090
+initial و كائنتك final إذا كانت الدور قبل ولا
+
+10
+00:00:45,090 --> 00:00:48,110
+ماكنتش الدور و إذا ماكنتش الدور بيكون كائنتك zero
+
+11
+00:00:48,110 --> 00:00:50,810
+صارت الدور بيصير اللي لها كائنتك final جدشكم انتها
+
+12
+00:00:50,810 --> 00:00:55,450
+نص I Omega تربيع و ماأنساش ال Omega بالساوية V على
+
+13
+00:00:55,450 --> 00:00:59,980
+Rاللي هو هذا الكلام بتطبقه في هذا المثال بيقول في
+
+14
+00:00:59,980 --> 00:01:04,700
+عندي عجلة أو في عندي بكرة فيها كتلتين الكتلة
+
+15
+00:01:04,700 --> 00:01:08,780
+الأولى M1 والكتلة التانية M2 الكتلة الأولى نزلت
+
+16
+00:01:08,780 --> 00:01:14,400
+والكتلة التانية إيش بتصير فيها بدها تطلع طبعا نزلت
+
+17
+00:01:14,400 --> 00:01:19,260
+بدي أخد level زي ما كنت حل في شطر سبعةlevel قلت
+
+18
+00:01:19,260 --> 00:01:23,760
+انا اذا ذاكرين في عندي level level هذا واحد بيساوي
+
+19
+00:01:23,760 --> 00:01:27,100
+باخده zero ممكن اخد لتنين level واحد وممكن اخد لكل
+
+20
+00:01:27,100 --> 00:01:34,860
+واحد level خاص بيه بدي اخد M2 هي M2 وهي M1 M2 U2
+
+21
+00:01:34,860 --> 00:01:42,300
+بيساوي zero هنا U1 بيساوي zeroأخد ال level للأول و
+
+22
+00:01:42,300 --> 00:01:44,900
+level للتاني بعد ما أخدت ال level للأول و level
+
+23
+00:01:44,900 --> 00:01:48,980
+للتاني بدأ أشوف الجسم وين كان و وين صعب هنا الجسم
+
+24
+00:01:48,980 --> 00:01:54,620
+الأول واحد initial كتاب الأسود كان هنا بدأ من
+
+25
+00:01:54,620 --> 00:02:00,920
+السكوت اذا واحد initial و واحد final الجسم التاني
+
+26
+00:02:00,920 --> 00:02:07,020
+كان هنا اتنين initial و اتنين finalبدأ من هنا ووصل
+
+27
+00:02:07,020 --> 00:02:12,360
+لهنا وبدأ من هنا ووصل لهنا بدأ من السكون V واحد
+
+28
+00:02:12,360 --> 00:02:15,320
+initial بساوة زيرو V اللي هنا نفس V اللي هنا لان
+
+29
+00:02:15,320 --> 00:02:18,760
+مربوطين بنفس الخيطة اذا V هنا بساوة زيرو بدأ من
+
+30
+00:02:18,760 --> 00:02:23,180
+السكون Omega هنا بساوة زيرو Omega initial بساوة
+
+31
+00:02:23,180 --> 00:02:23,560
+زيرو
+
+32
+00:02:26,970 --> 00:02:33,710
+إذا بدأ أقول E initial بتساوي E final أو Delta K
+
+33
+00:02:33,710 --> 00:02:38,310
+زي Delta U بساوي Zero نكتب E initial بتساوي E
+
+34
+00:02:38,310 --> 00:02:42,760
+finalأيش في a and a أو delta k زائد delta u بنفس
+
+35
+00:02:42,760 --> 00:02:46,960
+المعنى a initial كم الجسم عندنا جسمين و البكرة
+
+36
+00:02:46,960 --> 00:02:51,720
+بقول الجسم الأول u1 initial زائد k1 initial كل
+
+37
+00:02:51,720 --> 00:02:57,500
+واحد له طاقتين وضعه بحركة زائد u2 initial زائد k2
+
+38
+00:02:57,500 --> 00:03:05,860
+initial زائد k للبكرة لل rotation initial بيساوي
+
+39
+00:03:05,860 --> 00:03:09,120
+u1 final زائد k1 final
+
+40
+00:03:16,330 --> 00:03:21,110
+مين بيساوة زيرو نجي للجسم الأول بدأ من السكون طاقة
+
+41
+00:03:21,110 --> 00:03:24,230
+الحركة بيساوة زيرو وطاقة الوضع بيساوة زيرو إذا
+
+42
+00:03:24,230 --> 00:03:26,650
+الاتنين بيساوة زيرو في الواحد initial هي ال
+
+43
+00:03:26,650 --> 00:03:31,710
+initial نجي للتاني الاتنين initial إله طاقة وضع
+
+44
+00:03:31,710 --> 00:03:35,130
+إله ارتفاع عن ال level قيمته H إذا بقدر أقول هذه
+
+45
+00:03:35,130 --> 00:03:39,900
+إيه لها قيمة قيمتها M اتنينفى جى فى ال H فى
+
+46
+00:03:39,900 --> 00:03:45,560
+الأرتفاع كتنين initial بدأ من وين من السكون إذا
+
+47
+00:03:45,560 --> 00:03:49,940
+هذه راحة البكره كانت ال initial اللي لها زيرو راحة
+
+48
+00:03:49,940 --> 00:03:56,060
+بيساوي خلصنا من الجزء الأول ال final U واحد final
+
+49
+00:03:56,060 --> 00:04:00,540
+واحد final هى ارتفعت عن ال level مسافة قد ياش H
+
+50
+00:04:00,540 --> 00:04:07,590
+إذا بقول M واحد فى جى فى Hكواحد فينال واحد فينال
+
+51
+00:04:07,590 --> 00:04:11,530
+صار لها سرعة هنا لأنها لابد تظل نازلة حتى لو انا
+
+52
+00:04:11,530 --> 00:04:15,630
+وقفت فيها لها سرعة هتخبط في حاجة لذا هنا في عنده
+
+53
+00:04:15,630 --> 00:04:22,310
+زائد نص ام واحد V تربيع زائد U اتنين فينال اتنين
+
+54
+00:04:22,310 --> 00:04:27,950
+فينال وصلت ايش ال level خلصنا منها كتنين فينال لها
+
+55
+00:04:27,950 --> 00:04:34,570
+نفس السرعة قيمتها نص ام اتنين V تربيعهذا الوضع
+
+56
+00:04:34,570 --> 00:04:37,950
+لديه قيمة و هذا لديه قيمة و هذا لديه قيمة كيلر
+
+57
+00:04:37,950 --> 00:04:41,930
+روتيشن الان هذا كل ال system متحرك هذا كمان في ال
+
+58
+00:04:41,930 --> 00:04:45,730
+final omega final صار متحرك و قيمتها omega final
+
+59
+00:04:45,730 --> 00:04:55,410
+بيساوي V على مين على A اذا بقول زائد نص
+
+60
+00:04:55,410 --> 00:05:02,740
+I omega تربيعو بشيل ال Omega تربيه هنا و بحط محلها
+
+61
+00:05:02,740 --> 00:05:09,160
+V تربيه على مين؟ على A الآن هذا Angle على الطرف
+
+62
+00:05:09,160 --> 00:05:19,180
+التاني بيصير M2 نقص M1 في G في H بيساوي نص عامل
+
+63
+00:05:19,180 --> 00:05:24,760
+مشترك في انصاصهم كلهم فيدي هنا M1 فيدي زائد M2
+
+64
+00:05:24,760 --> 00:05:27,760
+زائد I على A
+
+65
+00:05:31,610 --> 00:05:35,830
+م1 مُعطَى أي إن كانت الكتلة ومعطناش إياها م2 الـ I
+
+66
+00:05:35,830 --> 00:05:40,370
+إذا كانت بكرة ومعطناش إياها بتساوي نص كتلة البكرة
+
+67
+00:05:40,370 --> 00:05:45,530
+في نص في القطر square كله موجود عنده بقدر أطلع
+
+68
+00:05:45,530 --> 00:05:52,630
+قيمة ال V إذا بدوا ال V في ال V مضروب أسف هنا في V
+
+69
+00:05:52,630 --> 00:05:56,250
+square تنجل هذا على الطرف التاني بجسم عليه و باخد
+
+70
+00:05:56,250 --> 00:05:58,810
+الجدر للطرفين بطلع قيمة ال V
+
+71
+00:06:03,770 --> 00:06:06,950
+بعد مطلع قيمة ال V بطلع قيمة ال Omega بجسم على R
+
+72
+00:06:06,950 --> 00:06:10,410
+هذا كله على R هذا كله على R و برتب المعادلة بطلع
+
+73
+00:06:10,410 --> 00:06:14,970
+قيمة Omega الان
+
+74
+00:06:14,970 --> 00:06:19,330
+اخر جزئية عندى ال angular momentum في هذا ال
+
+75
+00:06:19,330 --> 00:06:28,390
+chapter ال
+
+76
+00:06:28,390 --> 00:06:49,650
+angular momentum يعرف is defined asR X P R
+
+77
+00:06:49,650 --> 00:06:56,590
+X P R X P R X
+
+78
+00:06:56,590 --> 00:07:04,030
+P R X P R X P R X Pطبعا انا وجلبت فيه اندي جسم ال
+
+79
+00:07:04,030 --> 00:07:10,610
+L particle أخدته على قروص بيده M
+
+80
+00:07:10,610 --> 00:07:14,470
+الموين تميله في ال R في البواد العمودي طبعا لأن في
+
+81
+00:07:14,470 --> 00:07:18,270
+هنا R cross فيه sign لو كانت عند ال R sign الزاوية
+
+82
+00:07:18,270 --> 00:07:22,990
+كأنه بتتكلم عن الذراع هنا او عن البواد العمودي و
+
+83
+00:07:22,990 --> 00:07:26,370
+فيه بتحرك في مسار الدائرة قوة الممسية سرعة الممسية
+
+84
+00:07:26,370 --> 00:07:33,560
+لذا Li سواء مI في Viمانساش ان ال V بيستوي R فى
+
+85
+00:07:33,560 --> 00:07:39,140
+Omega بيصير عندى R Square الان هذا لبعض كل واحد
+
+86
+00:07:39,140 --> 00:07:41,900
+لما بدي اجيب الكل ايش بدي اعمل؟ بدي اعمل ال
+
+87
+00:07:41,900 --> 00:07:45,380
+summation اذا ال L هو summation لل L لجميع
+
+88
+00:07:45,380 --> 00:07:49,300
+اليسايمات الموجودة عنده ال summation هو التكامل هو
+
+89
+00:07:49,300 --> 00:07:55,670
+تكامل هو بيساوي MI فى RI تربيع وهذه هي ال Iإذا ال
+
+90
+00:07:55,670 --> 00:08:02,150
+angular momentum بيساوي I في ومجة إيش بتلاحظوا ال
+
+91
+00:08:02,150 --> 00:08:08,130
+linear momentum بيساوي M في V و
+
+92
+00:08:08,130 --> 00:08:12,110
+ال angular momentum I في ومجة من هذا الكلام ال
+
+93
+00:08:12,110 --> 00:08:18,530
+force بتروح لل torque ال omega بتروح لل V ال alpha
+
+94
+00:08:18,530 --> 00:08:28,100
+بتروح لل A الكتلة بتروح لل Iالـ X بتروح لثيتا، مش
+
+95
+00:08:28,100 --> 00:08:36,040
+في عندى كمان، كل حاجة كالك طرف، اسف هذا مش T، طرف،
+
+96
+00:08:36,040 --> 00:08:39,240
+لذا
+
+97
+00:08:39,240 --> 00:08:42,760
+فالان كلهم في علاقة مربوطة بينهم طيب الآن
+
+98
+00:08:42,760 --> 00:08:48,720
+conservation of momentConservation of angular
+
+99
+00:08:48,720 --> 00:08:54,160
+momentum اذا ما كان هناك قوة خارجية اذا ما كان
+
+100
+00:08:54,160 --> 00:08:59,980
+هناك
+
+101
+00:08:59,980 --> 00:09:03,160
+قوة
+
+102
+00:09:03,160 --> 00:09:06,400
+خارجية
+
+103
+00:09:06,400 --> 00:09:12,860
+اذا ما كان هناك قوة خارجية اذا ما كان هناك قوة
+
+104
+00:09:12,860 --> 00:09:13,060
+خارجية اذا ما كان هناك قوة خارجية اذا ما كان هناك
+
+105
+00:09:13,060 --> 00:09:14,920
+خارجية اذا ما كان هناك قوة خارجية اذا ما كان هناك
+
+106
+00:09:14,920 --> 00:09:19,630
+قوة خاللي هو ال
+
+107
+00:09:19,630 --> 00:09:23,850
+initial هذا لو كتاش إذا كان فيش عنده أي قوة ..
+
+108
+00:09:23,850 --> 00:09:28,190
+system لحاله يعني مافيش قوة خارجية إذا لما أتي
+
+109
+00:09:28,190 --> 00:09:32,610
+أتكلم ال initial بستوي ال final لما يكون .. مافيش
+
+110
+00:09:32,610 --> 00:09:37,230
+قوة خارجية external to work بيكون قداش قيمته zero
+
+111
+00:09:38,220 --> 00:09:43,040
+لأن ال force ع جبالها torque لما كانت ال force ال
+
+112
+00:09:43,040 --> 00:09:46,180
+external force بيساوي zero في ال linear كان ال b
+
+113
+00:09:46,180 --> 00:09:50,720
+initial بيساوي ال b final يعني هنا بقدر أضيف ال b
+
+114
+00:09:50,720 --> 00:09:55,160
+ع جبالها ال Lالانجلال المميزة هنا لما الـ torque
+
+115
+00:09:55,160 --> 00:09:58,280
+يسوى لما الـ torque يسوى لما الـ torque يسوى لما
+
+116
+00:09:58,280 --> 00:10:02,160
+الـ torque يسوى لما الـ torque يسوى لما الـ torque
+
+117
+00:10:02,160 --> 00:10:03,920
+يسوى لما الـ torque يسوى لما الـ torque يسوى لما
+
+118
+00:10:03,920 --> 00:10:05,420
+الـ torque يسوى لما الـ torque يسوى لما الـ torque
+
+119
+00:10:05,420 --> 00:10:06,600
+يسوى لما الـ torque يسوى لما الـ torque يسوى لما
+
+120
+00:10:06,600 --> 00:10:06,860
+الـ torque يسوى لما الـ torque يسوى لما الـ torque
+
+121
+00:10:06,860 --> 00:10:07,140
+يسوى لما الـ torque يسوى لما الـ torque يسوى لما
+
+122
+00:10:07,140 --> 00:10:08,960
+يسوى لما الـ torque يسوى لما الـ torque يسوى لما
+
+123
+00:10:08,960 --> 00:10:13,580
+الـ torque ييقول في انديتو ديسك افباس واحد كتل دم
+
+124
+00:10:13,580 --> 00:10:16,500
+واحد كيلو جرام نص خطره هالجد والتاني اربعة كيلو
+
+125
+00:10:16,500 --> 00:10:22,960
+جرام نص خطره هالجد الدسكين معاهم rotation وinitial
+
+126
+00:10:22,960 --> 00:10:29,260
+angular velocity تمانين rad per second والتاني
+
+127
+00:10:29,260 --> 00:10:33,580
+الأثقل بدور الجداش اتنين واربين rad per second
+
+128
+00:10:33,580 --> 00:10:41,510
+التاني معاهم دفعتهم to contactأنا فيه انديسك ايه
+
+129
+00:10:41,510 --> 00:10:47,430
+واحد والتاني بدوروا واحد بتصار ازاوي كده والتاني
+
+130
+00:10:47,430 --> 00:10:50,990
+بتصار ازاوي كده دفعتهم ومتحدوا مع بعض صاروا
+
+131
+00:10:50,990 --> 00:10:54,150
+التانين يدوروا يعني واحد فوق التاني زي هيك صاروا
+
+132
+00:10:54,150 --> 00:10:58,010
+يدوروا مع بعض بأمجا جديد هيدوروا بدي أحسب الأمجا
+
+133
+00:10:58,010 --> 00:11:03,890
+الجديد دي قداش قيمتها هقول I واحد كم الجسم ان دي
+
+134
+00:11:03,890 --> 00:11:09,480
+جسم ان بدي اقول ال initial بتساوي ال finalL1
+
+135
+00:11:09,480 --> 00:11:13,780
+initial زائد L2 initial زي الـ momentum B1 initial
+
+136
+00:11:13,780 --> 00:11:19,920
+زائد B2 initial بيساوي L1 final زائد L2 final L1
+
+137
+00:11:19,920 --> 00:11:26,280
+initial I1 في Omega 1 initial زائد I2 في Omega 2
+
+138
+00:11:26,280 --> 00:11:32,200
+زي الكتلة M1 في V1 initial M2 في V2 initial بيساوي
+
+139
+00:11:32,200 --> 00:11:37,000
+I1 في Omega 1
+
+140
+00:11:38,290 --> 00:11:42,370
+final زائد I اتنين فى Omega اتنين فاينل فاينل
+
+141
+00:11:42,370 --> 00:11:47,790
+فاينل فاينل فاينل فاينل فاينل فاينل فاينل فاينل
+
+142
+00:11:47,790 --> 00:11:48,590
+فاينل فاينل فاينل فاينل فاينل فاينل فاينل فاينل
+
+143
+00:11:48,590 --> 00:11:56,290
+فاينل فاينل فاينل فاينل فاينل فاينل فاينل فاينل
+
+144
+00:11:56,290 --> 00:12:01,710
+فاينل فاين
+
+145
+00:12:02,520 --> 00:12:05,400
+في هذا الحالة ال I في الأول ماكانش له قيمة لكن في
+
+146
+00:12:05,400 --> 00:12:09,920
+التاني صار له قيمة لأنه لها ذراع صار نزل وصار عنده
+
+147
+00:12:09,920 --> 00:12:14,260
+بعد على المحور بيساوي ايش عنده صار I جديد اللي هي
+
+148
+00:12:14,260 --> 00:12:21,260
+M في R تربيعه ال I واحد قيمتها معروفة لل disk ايش
+
+149
+00:12:21,260 --> 00:12:27,680
+بتساوي ال I لل disk نص M R تربيع لذا ال I واحد نص
+
+150
+00:12:27,680 --> 00:12:33,410
+M واحد R واحد تربيع طلعت قيمتهI2 نص M2 R2 ترجع
+
+151
+00:12:33,410 --> 00:12:36,270
+طبعا ال disk بتغير شكله اذا بتغير شكله بتغيرت ال I
+
+152
+00:12:36,270 --> 00:12:39,830
+لما بتغير شكله بيبقى ال I معاها ثابت هاي ال I
+
+153
+00:12:39,830 --> 00:12:43,370
+لتاني بدي اقول I واحد في Omega واحد initial زائد
+
+154
+00:12:43,370 --> 00:12:46,570
+I2 في Omega اتنين initial بيساوي I واحد زائد I
+
+155
+00:12:46,570 --> 00:12:50,610
+اتنين في Omega ash final هذا بيشبهنا بتفصل اتنين
+
+156
+00:12:50,610 --> 00:12:54,490
+اصطدموا في بعض فعال contact بينهم ومشوا مع بعض في
+
+157
+00:12:54,490 --> 00:12:59,760
+Omega جديد منها بطلع قيمة ال Omegaفايل بعوض وطلّي
+
+158
+00:12:59,760 --> 00:13:05,600
+قيمة الـ Omega Final جدّيش قيمته إزاي ممكن يعطيني
+
+159
+00:13:05,600 --> 00:13:09,120
+سؤال من الأسئلة الموجودة عندكم اللي هو شخص هنا أو
+
+160
+00:13:09,120 --> 00:13:13,640
+هنا مثلا عشرة شخص بتحرك على desk أو على طاولة
+
+161
+00:13:13,640 --> 00:13:17,360
+بالدور ووزنه
+
+162
+00:13:17,360 --> 00:13:21,760
+سبعين كيلو جرام هو
+
+163
+00:13:21,760 --> 00:13:23,080
+بتحرك على هذه الطاولة
+
+164
+00:13:29,460 --> 00:13:34,560
+و بتحرك باتجاه المركز لما وصل الى المركز اذا اول
+
+165
+00:13:34,560 --> 00:13:41,300
+حاجة في عندك طاولة بتدور و بتعمل one revolution in
+
+166
+00:13:41,300 --> 00:13:46,740
+في خمس عشر second one revolution ايش معناته اوميجا
+
+167
+00:13:46,740 --> 00:13:51,860
+بتسوى one revolution واحد في اتنين باي على خمس عشر
+
+168
+00:13:51,860 --> 00:13:56,340
+لف واحد في كل لف اتنين باي على زمنهم خمس عشر
+
+169
+00:13:56,340 --> 00:14:02,480
+secondالـ I لها جداش قيمتها الـ I ألف kilogram متر
+
+170
+00:14:02,480 --> 00:14:07,640
+square stand in the center كان واقف في الأول in
+
+171
+00:14:07,640 --> 00:14:14,540
+the center و بعدين هو start بدأ يمشي from the
+
+172
+00:14:14,540 --> 00:14:20,520
+center حتى في اتجاه المركز حتى يوصل لمين لتنين متر
+
+173
+00:14:20,520 --> 00:14:23,660
+from the center بعيد عن ال center مسافة جداش اتنين
+
+174
+00:14:23,660 --> 00:14:27,560
+متر كان في المركز لما كان في المركز
+
+175
+00:14:32,840 --> 00:14:41,940
+أو سرعته في المركز سرعته ستكون Zero لأن ال R لها
+
+176
+00:14:41,940 --> 00:14:46,660
+Zero طب بال I قيمتها؟ بالرده بالساوة Zero لأن ال R
+
+177
+00:14:46,660 --> 00:14:51,560
+بيساوة M في R تربيع و ال R قيمته Zero كل حجة
+
+178
+00:14:51,560 --> 00:14:54,840
+مرتبطة في ال A بتساوي Zero لذا هنا لما كان في
+
+179
+00:14:54,840 --> 00:15:00,380
+المركز كانت ال I له بتساوي Zeroلما بعد هنا صارت ال
+
+180
+00:15:00,380 --> 00:15:05,300
+I له بيساوي M في R تربية كان كأنه نقطة بتعامل معاه
+
+181
+00:15:05,300 --> 00:15:11,920
+كأنه نقطة ايش بده اقول ال initial بتساوي ال final
+
+182
+00:15:11,920 --> 00:15:19,020
+كم جسم عندي؟ جسمين I واحد initial في Omega واحد
+
+183
+00:15:19,020 --> 00:15:22,620
+initial زائد I اتنين initial في Omega اتنين
+
+184
+00:15:22,620 --> 00:15:28,490
+initial بيساوي I واحد finalفى omega 1 final زاد I2
+
+185
+00:15:28,490 --> 00:15:34,590
+final فى omega 2 final I1 initial اللى هو الشخص
+
+186
+00:15:34,590 --> 00:15:40,270
+كان فى المركز أول حاجة Zero خلصنا منه I2 قيمتها
+
+187
+00:15:40,270 --> 00:15:47,330
+ألف طاولة ماتغيرتش فى omega إلها أعطانى omega إلها
+
+188
+00:15:47,330 --> 00:15:57,260
+اللى حسبتها 12 2pi على 15على خمستاشر بيساوي I واحد
+
+189
+00:15:57,260 --> 00:16:02,020
+final الشخص اللي كتلته في R وR اتنين متر يعني بقدر
+
+190
+00:16:02,020 --> 00:16:07,280
+اقول كتلته سبعين في R اتنين square لذا بقدر اقول
+
+191
+00:16:07,280 --> 00:16:14,520
+سبعين في اتنين square هذه ال I زائد ال I التاني I
+
+192
+00:16:14,520 --> 00:16:20,800
+اتنين final الف ماتغيرتشطيب في ال omega final ليش
+
+193
+00:16:20,800 --> 00:16:24,860
+أخدت ال omega final لإن الاتنين بيدوروا أيش مع بعض
+
+194
+00:16:24,860 --> 00:16:27,580
+في ال omega final إذا الاتنين بيدوروا في omega
+
+195
+00:16:27,580 --> 00:16:33,060
+final و بقدر أطلع قيمة ال omega final إذا هنا أنا
+
+196
+00:16:33,060 --> 00:16:37,260
+بقدر أحسب ال I initial و I final و بعد ما أحسب ال
+
+197
+00:16:37,260 --> 00:16:42,600
+I final هاي هقولنا ال I final السبعين في الأربعة
+
+198
+00:16:42,600 --> 00:16:47,690
+اتنين تربيع زاد الألف هذه ال I finalوالـ I initial
+
+199
+00:16:47,690 --> 00:16:52,030
+حسبتها و طلعتها قلنا الأول مالوش تاني اللي له و
+
+200
+00:16:52,030 --> 00:16:57,310
+بطلع قيمة ال I واحد في أمجا واحد initial زي I
+
+201
+00:16:57,310 --> 00:17:00,150
+اتنين initial في امجا اتنين initial هدف Zero طلعني
+
+202
+00:17:00,150 --> 00:17:04,030
+الحد هذا و الحد دين اللي هنا باخد الامجا final و
+
+203
+00:17:04,030 --> 00:17:09,030
+بطلع قيمتها هي كذا بنكون خلصنا الشبتر و يعطيكم
+
+204
+00:17:09,030 --> 00:17:12,270
+العافية و ان شاء الله بنشوفكم في شبتر 11
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/nzuQG3T5O2k.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/nzuQG3T5O2k.srt
new file mode 100644
index 0000000000000000000000000000000000000000..195f2a1bc70a066e10ac36e0a6dc374e1b87a539
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/nzuQG3T5O2k.srt
@@ -0,0 +1,906 @@
+1
+00:00:05,210 --> 00:00:08,730
+بسم الله الرحمن الرحيم اليوم إن شاء الله نكمل
+
+2
+00:00:08,730 --> 00:00:13,110
+معاكم في المادة اليوم عندنا chapter تسعة، chapter
+
+3
+00:00:13,110 --> 00:00:19,070
+تسعة، chapter سهل، اللي هو ممكن جزء منه شفته قبل ذلك
+
+4
+00:00:19,070 --> 00:00:21,310
+اللي هو الـ collision، الـ collision اللي هو
+
+5
+00:00:21,310 --> 00:00:25,350
+collisions اللي هي التصادمات، طبعاً التصادمات قبل ما
+
+6
+00:00:25,350 --> 00:00:30,470
+أتكلم عن التصادمات بالزمن، أتعرف علي حاجة اسمها الـ
+
+7
+00:00:30,470 --> 00:00:37,160
+impulse، الـ impulse معناته الدفع. Limbulance الدفاع
+
+8
+00:00:37,160 --> 00:00:45,520
+مر علينا، لو في جسمين اصطدموا مع بعض، الأول
+
+9
+00:00:45,520 --> 00:00:49,740
+بيكون إيش عمل في التاني؟ دفعه، والتاني دفعه بإيش
+
+10
+00:00:49,740 --> 00:00:54,580
+باتجاه معاكس، إذن المتوقعين الدفع يكون عبارة عن إيش؟
+
+11
+00:00:54,580 --> 00:01:01,600
+عبارة عن متجه. طيب كيف ممكن أحسبه؟ ليش احنا من قانون
+
+12
+00:01:01,600 --> 00:01:08,130
+النيوتن، التاني، مر علينا إن الـ F بيساوي الـ M في الـ
+
+13
+00:01:08,130 --> 00:01:13,470
+A، وطلعنا صيغة تانية، القانون الـ F بيساوي dB على dT
+
+14
+00:01:13,470 --> 00:01:18,710
+وهاد الـ F external، وقلنا لو ما فيش external كان الـ
+
+15
+00:01:18,710 --> 00:01:22,890
+dB على dT بيساوي كم؟ بيساوي Zero، ومنها الـ B طلعت
+
+16
+00:01:22,890 --> 00:01:29,110
+Constant، Conservation of Momentum. الآن الـ F بيساوي
+
+17
+00:01:29,110 --> 00:01:34,230
+dB على dT، منها الـ dB بيساوي F في dT. الآن لو أنا
+
+18
+00:01:34,230 --> 00:01:39,150
+كملت، أخدت التكامل للطرف الايمن والتكامل للطرف
+
+19
+00:01:39,150 --> 00:01:44,330
+الايمن، من الـ initial لـ final، dB من initial لـ final
+
+20
+00:01:44,330 --> 00:01:52,550
+∫ FdT، تكامل الـ B، تكامل الـ X dX، إيش بتعطينا؟ بتعطينا X
+
+21
+00:01:53,570 --> 00:01:58,510
+تكامل الـ dB بتعطيني P من initial لـ final، إذن هذا
+
+22
+00:01:58,510 --> 00:02:06,030
+هذا بيعطيني P final ناقص P initial، P final ناقص P
+
+23
+00:02:06,030 --> 00:02:12,130
+initial، اللي هي ΔP بتساوي
+
+24
+00:02:12,130 --> 00:02:18,750
+∫ FdT، ΔP هي عبارة عن
+
+25
+00:02:24,660 --> 00:02:30,380
+الانبالس، الانبالس بيساوي التغير في الـ B، والانبالس
+
+26
+00:02:30,380 --> 00:02:36,560
+بيساوي ∫ FdT. إذا كانت الـ F constant، لو اعتبرت
+
+27
+00:02:36,560 --> 00:02:44,260
+أن الـ force اللي أثرت فيها الجسم، force constant، ففي
+
+28
+00:02:44,260 --> 00:02:48,120
+هذا الحال، الـ F تطلع برا، تكامل الـ dT تطلع ΔT
+
+29
+00:02:56,980 --> 00:03:04,420
+لو كانت متغيرة، فزي هيك متغيرة، ومن T بين الـ F و
+
+30
+00:03:04,420 --> 00:03:09,220
+بين الـ T، من T initial لـ T final، مش هذا منحنى الـ F
+
+31
+00:03:09,220 --> 00:03:19,880
+متغير، تكامله، تكامل الـ F dT بتعطيني الـ area، هنا
+
+32
+00:03:19,880 --> 00:03:24,580
+ممكن تكون الـ area تحت المنحنى، تكامل الـ impulse
+
+33
+00:03:24,580 --> 00:03:26,120
+بيعطينا ∫ FdT
+
+34
+00:03:33,570 --> 00:03:36,870
+كمان بقى بقول الـ F average، لإنه الـ average كأنه
+
+35
+00:03:36,870 --> 00:03:40,810
+إيش بقول؟ كأنه أخدت الـ average، كان متوسط لهم، كأنها
+
+36
+00:03:40,810 --> 00:03:45,490
+عملت إيش؟ F صارت كأنها ثابتة، كونستان، تطلع برا
+
+37
+00:03:45,490 --> 00:03:49,950
+التكامل. إذن الـ force أنا بقدر أحسبها، كمان ممكن
+
+38
+00:03:49,950 --> 00:03:53,930
+أحسب الـ force، تساوي ΔP على ΔT، ΔP على
+
+39
+00:03:53,930 --> 00:03:58,350
+ΔT، بطلع الـ force، أو الـ impulse على ΔT
+
+40
+00:03:58,350 --> 00:04:03,100
+بقدر أحسب من خلاله الـ force. يعني لو في أي جسمين اصطدم
+
+41
+00:04:03,100 --> 00:04:07,000
+في بعض، الجسم الأول هيدفع الجسم التاني، والتاني
+
+42
+00:04:07,000 --> 00:04:12,140
+هيدفع الأول، يعني بقدر أقول الـ impulse الأول على التاني
+
+43
+00:04:12,140 --> 00:04:18,000
+بيساوي الـ impulse التاني على الأول، قريب من قانون
+
+44
+00:04:18,000 --> 00:04:22,720
+نيوتن، دفع، أثر بقوة، ولكن أثر بقوة ما لها معاكسة
+
+45
+00:04:22,720 --> 00:04:30,060
+متساويات، لكن اتجاههم إيش؟ عكس الاتجاه اللي
+
+46
+00:04:30,060 --> 00:04:31,580
+أتكلم عنه، المرة دي عن متجه.
+
+47
+00:04:34,280 --> 00:04:39,300
+طيب هل هذا يختلف مع الـ P initial بيساوي الـ P
+
+48
+00:04:39,300 --> 00:04:44,780
+final، أو الـ ΔP؟ لا، هنلاقي إن
+
+49
+00:04:44,780 --> 00:04:50,220
+الـ ΔP للأول بيساوي الـ ΔP للتاني. ناخد
+
+50
+00:04:50,220 --> 00:04:57,380
+مثال، بيقول: في عندي سيارة كتلتها 1500 kilogram، اصطدمت
+
+51
+00:04:57,380 --> 00:05:03,610
+في حائط. طبعاً إيش هتشيرلها؟ أي حد هيدفع الحائط، والحائط
+
+52
+00:05:03,610 --> 00:05:07,630
+حد هيدفعه، لكن الحائط ما له؟ وين الـ impulse فيه؟ هي عبارة
+
+53
+00:05:07,630 --> 00:05:13,750
+عن اهتزازه، لكن السيارة إيش بيصير فيها؟ بترتد. اصطدمت
+
+54
+00:05:13,750 --> 00:05:18,350
+كانت سرعتها الـ V initial بتساوي، بالسيارة السالبة،
+
+55
+00:05:18,350 --> 00:05:24,350
+معناها اتجاه سالب، أربعة و نصف، ارتدت، V final بتساوي
+
+56
+00:05:24,350 --> 00:05:29,790
+اتنين وستة من عشرة متر per second. بدي أحسب أول
+
+57
+00:05:29,790 --> 00:05:34,850
+حاجة الـ final P، بعد هيك بدي أحسب الـ average
+
+58
+00:05:34,850 --> 00:05:40,350
+force اللي أثرت فيها الحيطة على السيارة، وكذا
+
+59
+00:05:40,350 --> 00:05:44,290
+السيارة على الحيطة، بس هتختلف في الاتجاه، السيارة
+
+60
+00:05:44,290 --> 00:05:48,470
+هتأثر بهذا الاتجاه، الحيطة هتأثر بالاتجاه المعاكس.
+
+61
+00:05:49,230 --> 00:05:52,690
+بقول: إحنا لما إجي أحسبها، بقول هي تغير في
+
+62
+00:05:52,690 --> 00:05:56,610
+الـ B، final ناقص الـ B، تغير في الـ B، يعني كأنها B
+
+63
+00:05:56,610 --> 00:06:01,230
+final ناقص B initial، B final هي M في V final ناقص
+
+64
+00:06:01,230 --> 00:06:07,670
+M في V initial، الـ M عامل مشترك. اتنين وستة من عشرة
+
+65
+00:06:07,670 --> 00:06:15,080
+ناقص V initial، سالب أربعة ونصف، سالب سالب، أعطيني
+
+66
+00:06:15,080 --> 00:06:20,600
+إشارة ما لها؟ موجبة، بيطلع قيمتها، هي قيمتها، ووحدتها
+
+67
+00:06:20,600 --> 00:06:25,480
+نفس وحدة إيه؟ إيش الـ momentum؟ نفس وحدة الـ momentum.
+
+68
+00:06:25,480 --> 00:06:30,460
+طيب الـ force اللي أنا بدي أحسبها، لا، هو الـ average
+
+69
+00:06:30,460 --> 00:06:33,760
+force اللي أثرت فيها على السيارة، هالجد قيمتها، بدي
+
+70
+00:06:33,760 --> 00:06:39,200
+أحسب الـ time، الـ contact time، قداش زمن اللي هو
+
+71
+00:06:39,200 --> 00:06:45,330
+التصادم. بقول الـ ΔP بتساوي، أو الـ… الـ impulse
+
+72
+00:06:45,330 --> 00:06:49,610
+بتساوي F في ΔT، منها الـ ΔT بتساوي الـ
+
+73
+00:06:49,610 --> 00:06:53,610
+impulse على F، الـ impulse أنا حسبته، الـ F هي قيمته
+
+74
+00:06:53,610 --> 00:07:01,290
+بيطلع قيمتها قداش؟ ستين ونصف ملي ثانية. طب نيجي ناخد
+
+75
+00:07:01,290 --> 00:07:08,250
+كمان مثال، مثال تاني، في عندي كرة كتلتها 200 gram،
+
+76
+00:07:09,520 --> 00:07:21,180
+الكتلة بتساوي 200 غرام، نزلت من ارتفاع 81 متر، و
+
+77
+00:07:21,180 --> 00:07:22,180
+اصطدمت في الأرض.
+
+78
+00:07:26,680 --> 00:07:30,500
+وبعد ما اصطدمت، ارتدت، يعني هي منطلقة، اقتصادهم
+
+79
+00:07:30,500 --> 00:07:36,100
+في منطقة قبل اقتصادهم، الجسم سقط كان عنده potential
+
+80
+00:07:36,100 --> 00:07:41,360
+energy، طاقة الوضع، قداش قيمة طاقة الوضع؟ Mgh،
+
+81
+00:07:41,360 --> 00:07:47,460
+الـ kinetic energy، قداش قيمة الـ kinetic energy؟ بتساوي
+
+82
+00:07:47,460 --> 00:07:51,000
+اللي هو Zero، إذا بدأ من أين؟ من الـ rest، من السكون
+
+83
+00:07:51,000 --> 00:07:57,500
+من ارتفاع قيمته واحد وثمانية وعشرة، سقطت ووصلت
+
+84
+00:07:57,500 --> 00:08:02,420
+للأرض، هنا صارت تحول الطاقة البقود إلى طاقة حركة
+
+85
+00:08:02,420 --> 00:08:07,760
+صار عنده طاقة الوضع بتساوي Zero، لأن الـ level هي
+
+86
+00:08:07,760 --> 00:08:10,820
+المستوى الصفر اللي ناخده هنا، الـ kinetic energy
+
+87
+00:08:10,820 --> 00:08:16,360
+صارت قيمتها نص mV final، هذه المرحلة، initial
+
+88
+00:08:16,360 --> 00:08:22,300
+للتصادم، سرعة، هنا صدمها في الأرض، السرعة لما صدمت في
+
+89
+00:08:22,300 --> 00:08:27,350
+الأرض قداش قيمتها؟ هي قيمتها. هذه سرعة قبل استدامها
+
+90
+00:08:27,350 --> 00:08:31,250
+في الأرض مباشرة، بقدر أحسبه، بقدر أحسبه.
+
+91
+00:08:34,210 --> 00:08:39,950
+بتساوي E final، E initial، Mg في H، E final، نص MV
+
+92
+00:08:39,950 --> 00:08:43,790
+تربيع، والـ V بقدر أحسبها، لما الـ M بتروح، الـ V بتطلع
+
+93
+00:08:43,790 --> 00:08:48,310
+جذر اتنين GH، بتطلع قيمتها، إذن كانوا الجسم هاي
+
+94
+00:08:48,310 --> 00:08:54,130
+الجسم أو الكرة نزلت على الأرض بسرعة قيمتها خمسة
+
+95
+00:08:54,130 --> 00:08:59,520
+point تسعة أربعة متر على الثانية، هذا V initial. الآن
+
+96
+00:08:59,520 --> 00:09:04,100
+ارتدت، لما ارتدت ارتفعت مسافة قداش قيمتها؟ واحد
+
+97
+00:09:04,100 --> 00:09:08,660
+واثنين من عشرة متر، كان عندها سرعة، هنا تجي السرعة
+
+98
+00:09:08,660 --> 00:09:12,280
+تجي السرعة، لما صارت سرعتها إيه؟ زيرو، عند أقصى
+
+99
+00:09:12,280 --> 00:09:17,880
+ارتفاع، ارتدت مسافة قداش قيمتها؟ واحد واثنين من عشرة
+
+100
+00:09:17,880 --> 00:09:21,720
+متر، إذن الـ V بيساوي زيرو، معناتها الـ kinetic energy
+
+101
+00:09:21,720 --> 00:09:28,080
+بتساوي زيرو، الـ potential energy قيمتها Mg في H هنا،
+
+102
+00:09:29,090 --> 00:09:31,470
+على المستوى الصفر، الـ potential energy زيرو، الـ
+
+103
+00:09:31,470 --> 00:09:35,570
+kinetic energy بتساوي نص mV تربيع، بنفس الكيفية،
+
+104
+00:09:35,570 --> 00:09:40,530
+E initial و E final متساويات، بطلع عندي قيمة الـ V
+
+105
+00:09:40,530 --> 00:09:45,970
+اللي هي ارتدت فيها هنا، بقدر أحسبها، V final بتطلع
+
+106
+00:09:45,970 --> 00:09:56,430
+قيمتها 4.95، 4.95. الآن إيش طلب مني أحسب؟ طلب إن أحسب
+
+107
+00:09:56,430 --> 00:10:01,700
+الـ impulse. الآن الـ impulse سهل أحسبه، هو تغير في الـ B
+
+108
+00:10:01,700 --> 00:10:07,800
+character، الـ impulse كمان، B final ناقص B initial، و B
+
+109
+00:10:07,800 --> 00:10:14,620
+final، M في V final ناقص M في V initial، وبيساوي M
+
+110
+00:10:14,620 --> 00:10:19,800
+في V final ناقص V initial، بحسبها وبطلع قيمتها
+
+111
+00:10:19,800 --> 00:10:28,530
+بتطلع قيمتها 2.18 kilogram متر على الثانية. المطلوب
+
+112
+00:10:28,530 --> 00:10:32,050
+التاني، الـ average force، عارفين قانون الـ average
+
+113
+00:10:32,050 --> 00:10:37,250
+force بيساوي الـ… الـ impulse بيساوي F ΔT،
+
+114
+00:10:37,250 --> 00:10:42,290
+وهذا كـ average، ومنها الـ F بدي أحسبها، الـ average
+
+115
+00:10:42,290 --> 00:10:46,210
+force، بقول الـ F بتساوي الـ impulse على الـ ΔT،
+
+116
+00:10:46,210 --> 00:10:52,590
+هو أحطه على الزمن، قيمته اتناش من مية، اتناش
+
+117
+00:10:52,590 --> 00:10:58,550
+من الف second، بقدر أحسب قيمة الـ force في هذه الحالة.
+
+118
+00:10:58,550 --> 00:11:04,210
+نيجي نتكلم اليوم، أو نيجي نتكلم في الجزئية الجديدة عنها
+
+119
+00:11:04,210 --> 00:11:10,550
+اللي هي الـ collisions، التصادمات، الـ collisions الآن
+
+120
+00:11:10,550 --> 00:11:16,290
+التصادمات، عبارة عن نوعين من التصادمات.
+
+121
+00:11:24,330 --> 00:11:27,210
+طب علشان أنا اتكلمت عن الـ impulse في البداية، لإنه
+
+122
+00:11:27,210 --> 00:11:29,910
+التصادم عبارة عن دفع الجسم الأول على التاني، ودفع
+
+123
+00:11:29,910 --> 00:11:34,550
+الجسم التاني على الأول، وفي طاقة حركة للجسم الأول
+
+124
+00:11:34,550 --> 00:11:38,230
+بتتغير، وطاقة حركة للجسم التاني بتتغير. لو أنا أخدت
+
+125
+00:11:38,230 --> 00:11:45,470
+الـ system ككل، هاي جسمين صدموا في بعض، قوة التصادم
+
+126
+00:11:45,470 --> 00:11:49,090
+اللي بينهم، واحد بيأثر على الأول، كأنها قوة داخلية
+
+127
+00:11:49,090 --> 00:11:53,190
+هذا أثر بفعل التاني، أثر برد فعل، في الشيء قوة
+
+128
+00:11:53,190 --> 00:11:57,630
+خارجية بتأثر عليهم، واعتبرنا كـ system واحد، في هذه
+
+129
+00:11:57,630 --> 00:12:01,750
+الحالة، بيكون عندي الـ F external بيساوي Zero، مازال F
+
+130
+00:12:01,750 --> 00:12:07,010
+external بيساوي Zero، بيكون P initial بيساوي P final
+
+131
+00:12:07,010 --> 00:12:10,270
+بيساوي P initial بيساوي P final، هي جسم كتلته m
+
+132
+00:12:10,270 --> 00:12:14,370
+واحد، وهي جسم تاني كتلته m اتنين، هذا بيتحرك في v
+
+133
+00:12:14,370 --> 00:12:18,790
+واحد initial، وهذا v اتنين، آسف هنا v واحد initial،
+
+134
+00:12:18,790 --> 00:12:23,170
+وهنا v اتنين initial، هيصدموا مع بعض، هيصير بعد
+
+135
+00:12:23,170 --> 00:12:28,810
+التصادم هذا يتحرك في v اتنين final، وهذا هيتحرك في
+
+136
+00:12:28,810 --> 00:12:30,830
+v واحد final.
+
+137
+00:12:33,160 --> 00:12:36,340
+الـ P initial في المرحلة الأولى هي الـ initial، والـ
+
+138
+00:12:36,340 --> 00:12:40,520
+final، لازم P initial تساوي الـ P final. اتكلم كـ
+
+139
+00:12:40,520 --> 00:12:44,680
+system واحد، إيش هيكون؟ P initial للجسم الأول زائد P
+
+140
+00:12:44,680 --> 00:12:49,060
+initial للجسم التاني بتساوي P initial، P final للجسم
+
+141
+00:12:49,060 --> 00:12:54,000
+الأول زائد P final للجسم التاني، يعني بقدر أقول P
+
+142
+00:12:54,000 --> 00:12:59,400
+initial للأول زائد P initial للتاني بتساوي P final
+
+143
+00:12:59,400 --> 00:13:06,220
+للأول زائد P final للتاني، يعني m1 في v1 initial
+
+144
+00:13:06,220 --> 00:13:12,000
+زائد m2 في v2 initial بيساوي m1 في v1 final زائد
+
+145
+00:13:12,000 --> 00:13:17,920
+m2 في v2 final. هذا عبارة عن اللي هو الـ P initial
+
+146
+00:13:17,920 --> 00:13:22,460
+بيساوي الـ P final، للتصادمات، اللي هو التصادمات اللي
+
+147
+00:13:22,460 --> 00:13:27,600
+عنده أي كان طبيعتها، دائماً لما أقول في تصادم، بقول
+
+148
+00:13:27,600 --> 00:13:34,320
+التصادم، بأخد كمعزول، كجسم لحاله، كـ system لحاله، الـ
+
+149
+00:13:34,320 --> 00:13:37,200
+system في هذه الحالة، ماذا أنا أخذته؟ اللي بعتبر
+
+150
+00:13:37,200 --> 00:13:40,500
+القوتين اللي بين بعض، هي قوتين داخليتين، واحد
+
+151
+00:13:40,500 --> 00:13:44,360
+action واحد reaction، بيلغيوا بعض، بيضل عندي اللي هو
+
+152
+00:13:44,360 --> 00:13:49,120
+الـ summation للـ force external بيساوي Zero، ومنها الـ
+
+153
+00:13:49,120 --> 00:13:52,420
+dP على dT بيساوي Zero، التكامل هيطلع constant، إذن
+
+154
+00:13:52,420 --> 00:13:55,940
+P initial بيساوي P final، اللي هو قانون الـ
+
+155
+00:13:55,940 --> 00:14:00,080
+conservation of momentum. طيب التصادمات فيها عندي
+
+156
+00:14:00,080 --> 00:14:04,360
+منها نوعين، في النوع الأول elastic collision، تصادم
+
+157
+00:14:04,360 --> 00:14:11,680
+بنسميه مرن، تصادم مرن، له كمان زيادة، بدل ما هو
+
+158
+00:14:11,680 --> 00:14:15,860
+P initial بتساوي P final، فهذا رقم واحد، رقم اتنين،
+
+159
+00:14:15,860 --> 00:14:19,220
+الـ K initial بتساوي الـ K final.
+
+160
+00:14:21,920 --> 00:14:28,680
+يعني k1 initial زائد k2 initial بتساوي k1 final
+
+161
+00:14:28,680 --> 00:14:34,240
+زائد k2 final. وهذه التقنية هي عبارة عن طاقة الحركة
+
+162
+00:14:34,240 --> 00:14:38,760
+للأول، زي طاقة الحركة للتاني قبل التصادم، بتساوي
+
+163
+00:14:38,760 --> 00:14:43,100
+طاقة الحركة للتاني بعد التصادم، زائد طاقة الحركة
+
+164
+00:14:43,100 --> 00:14:49,160
+للأول بعد التصادم. إذن بقدر أقول: نص m1v1 initial، هو
+
+165
+00:14:49,160 --> 00:14:54,890
+للأول زائد الأول، قبل، بتساوي الأول بعد، طاقة الحركة
+
+166
+00:14:54,890 --> 00:14:59,510
+للأول بعد، طاقة الحركة للتاني بعد. إذن صار عندي
+
+167
+00:14:59,510 -->
+
+223
+00:19:15,070 --> 00:19:20,250
+المعادلة هذه بدي أنقل هذا على الطرف الثاني م1 وم2
+
+224
+00:19:20,250 --> 00:19:25,230
+أنقلها هنا يصير م1 في v1 initial ناقص يصير اشارتها
+
+225
+00:19:25,230 --> 00:19:29,990
+ناقص وهذا يصير اشارتها ناقص يصير م1 في v1 initial
+
+226
+00:19:29,990 --> 00:19:34,350
+ناقص في v1 final  سواء وم2 في v2 final ناقص في v1
+
+227
+00:19:34,350 --> 00:19:38,850
+initial وهذا معادلة رقم واحد ما عملتش شيء بس عملية
+
+228
+00:19:38,850 --> 00:19:44,450
+الترتيب الآن بعد هيك بدي أجيب المعادلة التالية
+
+229
+00:19:44,450 --> 00:19:50,010
+الكينتيكية رقم اثنين، الـ K initial بتساوي الـ K final
+
+230
+00:19:50,010 --> 00:19:58,530
+الـ K initial نص م واحد V واحد initial تربيع زائد نص
+
+231
+00:19:58,530 --> 00:20:02,170
+م اثنين V اثنين initial square بتساوي نص م واحد V
+
+232
+00:20:02,170 --> 00:20:05,110
+واحد final square زائد نص م اثنين V اثنين final
+
+233
+00:20:05,110 --> 00:20:09,430
+square الآن بنفس الكيفية، بدي أجيب من النص
+
+234
+00:20:12,200 --> 00:20:17,160
+النص، اخذ عمو جيمو بيضل عندي وشم وكمان angle ايش بنفس
+
+235
+00:20:17,160 --> 00:20:23,000
+الطريقة اللي نقلته للمومنتوم هسا الـ M1 في V1 initial
+
+236
+00:20:23,000 --> 00:20:29,360
+ناقص وهذا أنقله على الطرف الثاني واخذ الـ M1 عام
+
+237
+00:20:29,360 --> 00:20:33,880
+المشترك وM2 عام المشترك بيطلع عندي M1 في V1 initial
+
+238
+00:20:33,880 --> 00:20:37,700
+الـ square ناقص V1 final square  وM2 هي معادلتها
+
+239
+00:20:37,700 --> 00:20:42,330
+مضروبة في هذه القيمة هذا معادلة رقم اثنين يطلع لي على
+
+240
+00:20:42,330 --> 00:20:48,450
+هذا و هذا فرق ما عليكم حاجة اسمها فرق مربعين
+
+241
+00:20:48,450 --> 00:20:53,370
+اللي هو كنتوا تسموها ألف تربيع ناقص باء تربيع شو
+
+242
+00:20:53,370 --> 00:20:58,210
+بيطلع عندك ألف زائد باء و ألف ناقص باء نفس الشيء
+
+243
+00:20:58,210 --> 00:21:02,990
+بيطلع عندك مرة بالسالب و مرة بالموجب مرة بالسالب و
+
+244
+00:21:02,990 --> 00:21:09,840
+مرة ايش بالموجب هذه معادلة رقم اثنين من معادلة رقم
+
+245
+00:21:09,840 --> 00:21:13,960
+اثنين ومعادلة رقم واحد بتلاقي فيه تشابه كبير في
+
+246
+00:21:13,960 --> 00:21:18,460
+جزئين يعني لو طلعته على هذا وعلى هذا هو نفسه اللي
+
+247
+00:21:18,460 --> 00:21:21,900
+كان متساوياته إذا بقدم زي متساويات بشيلهم  مش بيضل
+
+248
+00:21:21,900 --> 00:21:26,420
+عنده بيضل عندي هذه القيمة و هذه القيمة هذول لازم
+
+249
+00:21:26,420 --> 00:21:30,160
+يكونوا متساوية عشان الطرفين عندي في المعادلة
+
+250
+00:21:30,160 --> 00:21:35,900
+السابقة لو طلعت عليها تبع المومنتوم هاي هي هذه القيمة
+
+251
+00:21:35,900 --> 00:21:42,000
+بتساوي هذه القيمة وهذه القيمة هاي هي وهذه القيمة
+
+252
+00:21:42,000 --> 00:21:45,320
+هاي هي متساوية لذا هذا لازم يساوي هذا لتطلع عندي
+
+253
+00:21:45,320 --> 00:21:50,340
+شرط التساوي صحيح فبيطلع عندي معادلة رقم ثلاثة هاي
+
+254
+00:21:50,340 --> 00:21:56,520
+ثلاثة بيطلع هذا بيساوي هذا بيطلع عندي V1 initial زي
+
+255
+00:21:56,520 --> 00:22:04,320
+V1 final V1 initial V1 final V2 initial V2 final V2
+
+256
+00:22:04,320 --> 00:22:05,920
+initial V2 initial V2 initial V2 initial V2
+
+257
+00:22:05,920 --> 00:22:07,720
+initial V2 initial V2 initial V2 initial V2
+
+258
+00:22:07,720 --> 00:22:10,860
+initial V2 initial V2 initial V2 initial V2
+
+259
+00:22:10,860 --> 00:22:11,460
+initial V2 initial V2 initial V2 initial V2
+
+260
+00:22:11,460 --> 00:22:11,500
+initial V2 initial V2 initial V2 initial V2
+
+261
+00:22:11,500 --> 00:22:11,680
+initial V2 initial V2 initial V2 initial V2
+
+262
+00:22:11,680 --> 00:22:11,740
+initial V2 initial V2 initial V2 initial V2
+
+263
+00:22:11,740 --> 00:22:12,560
+initial V2 initial V2 initial V2 initial V2
+
+264
+00:22:12,560 --> 00:22:12,580
+initial V2 initial V2 initial V2 initial V2
+
+265
+00:22:12,580 --> 00:22:12,600
+initial V2 initial V2 initial V2 initial V2
+
+266
+00:22:12,600 --> 00:22:17,100
+initial V2 initial V2 initial V2 initial V2
+
+267
+00:22:17,100 --> 00:22:27,360
+initial V2
+
+268
+00:22:27,360 --> 00:22:28,460
+initial V2
+
+269
+00:22:30,610 --> 00:22:36,370
+في الآخر هيطلع عندي V وأحل المعادلات مع بعض هتطلع
+
+270
+00:22:36,370 --> 00:22:40,550
+V واحد final اللي أنا بدور عليها و V اثنين final
+
+271
+00:22:40,550 --> 00:22:46,250
+هي قيمتها لما
+
+272
+00:22:46,250 --> 00:22:49,430
+حلهم V واحد final و V اثنين final سهل أتعامل معاهم
+
+273
+00:22:49,430 --> 00:22:52,070
+هأخذ كله م واحد زائد م اثنين م واحد زائد م
+
+274
+00:22:52,070 --> 00:22:55,110
+اثنين م واحد زائد م اثنين م واحد زائد م اثنين هنا
+
+275
+00:22:55,110 --> 00:22:59,070
+V1 initial V2 initial V1 initial V2 initial أبدأ
+
+276
+00:22:59,070 --> 00:23:03,650
+بم واحد ناقص م اثنين هنا هنا اثنين م اثنين
+
+277
+00:23:03,650 --> 00:23:08,390
+اثنين م واحد عكس بعض هنا م اثنين ناقص م واحد زي
+
+278
+00:23:08,390 --> 00:23:10,970
+المرة م واحد ناقص م اثنين بعكسهم على الشجرة
+
+279
+00:23:10,970 --> 00:23:13,670
+الثانية بيصير م اثنين ناقص م واحد وأنا هنا
+
+280
+00:23:13,670 --> 00:23:17,470
+اثنين م اثنين العكس لها هنا بيطلع اثنين م واحد
+
+281
+00:23:17,470 --> 00:23:21,710
+هذه لما أحلها بضل قيمتها وبنحاول نكمل المحاضرة
+
+282
+00:23:21,710 --> 00:23:23,570
+الجاي وأعطيكم العافية
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/nzuQG3T5O2k_raw.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/nzuQG3T5O2k_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..21922f5b534c38cb506d451263dd42cc933a477e
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/nzuQG3T5O2k_raw.srt
@@ -0,0 +1,1152 @@
+1
+00:00:05,210 --> 00:00:08,730
+بسم الله الرحمن الرحيم اليوم ان شاء الله نكمل
+
+2
+00:00:08,730 --> 00:00:13,110
+معاكم في المادة اليوم عندنا chapter تسعة chapter
+
+3
+00:00:13,110 --> 00:00:19,070
+تسعة chapter سهل اللي هو ممكن جزء منه شفته قبل ذلك
+
+4
+00:00:19,070 --> 00:00:21,310
+اللي هو ال collision ال collision اللي هو
+
+5
+00:00:21,310 --> 00:00:25,350
+collisions اللي هي التصادمات طبعا التصادمات قبل ما
+
+6
+00:00:25,350 --> 00:00:30,470
+اتكلم عن التصادمات بالزمن اتعرف علي حاجة اسمها ال
+
+7
+00:00:30,470 --> 00:00:37,160
+impulse ال impulse معناته الدفعLimbulance الدفاع
+
+8
+00:00:37,160 --> 00:00:45,520
+مر علينا لو فين ده جسمين أصطدموا مع بعض الأول
+
+9
+00:00:45,520 --> 00:00:49,740
+بيكون إيش عمل في التاني دفعه والتاني دفعه بإيش
+
+10
+00:00:49,740 --> 00:00:54,580
+باتجاه معاكس إذا المتوقعين الدفع يكون عبارة عن إيش
+
+11
+00:00:54,580 --> 00:01:01,600
+عبارة عن متجه طيب كيف ممكن أحسبه ليش احنا من قانون
+
+12
+00:01:01,600 --> 00:01:08,130
+النيوتين التانيمار علينا ان ال F بيساوي ال M في ال
+
+13
+00:01:08,130 --> 00:01:13,470
+A و طلعنا صيغة تانية القانون ال F بيساوي DB على DT
+
+14
+00:01:13,470 --> 00:01:18,710
+و هاد ال F external وقلنا لو مافيش external كان ال
+
+15
+00:01:18,710 --> 00:01:22,890
+DB على DT بيساوي كم؟ بيساوي Zero و منها ال B طلعت
+
+16
+00:01:22,890 --> 00:01:29,110
+Constant Conservation of Momentumالان ال F بيستوي
+
+17
+00:01:29,110 --> 00:01:34,230
+DB على DT منها ال DB بيستوي F في DD الان لو انا
+
+18
+00:01:34,230 --> 00:01:39,150
+كملت اخدت التكامل للطرف الايمن والتكامل للطرف
+
+19
+00:01:39,150 --> 00:01:44,330
+الايصر من ال initial ل final DB من initial ل final
+
+20
+00:01:44,330 --> 00:01:52,550
+FDT تكامل ال B تكامل ال X DX ايش بتعطينا بتعطينا X
+
+21
+00:01:53,570 --> 00:01:58,510
+تكامل ال DB بتعطيني P من initial ل final لوية إذا
+
+22
+00:01:58,510 --> 00:02:06,030
+هذا بيعطيني P final ناقص P initial P final ناقص P
+
+23
+00:02:06,030 --> 00:02:12,130
+initial اللي هي Delta P بتساوي
+
+24
+00:02:12,130 --> 00:02:18,750
+FDT تكامل FDT Delta P هي عبارة عن
+
+25
+00:02:24,660 --> 00:02:30,380
+الانبالس الانبالس بيساوي التغير في ال B والانبالس
+
+26
+00:02:30,380 --> 00:02:36,560
+بيساوي تكامل FDT اذا كانت ال F constant لو اعتبرت
+
+27
+00:02:36,560 --> 00:02:44,260
+ان ال force اللي اثر فيها الجسم force constant ففي
+
+28
+00:02:44,260 --> 00:02:48,120
+هذا الحال الف تطلع برا تكامل ال DT تطلع Delta T
+
+29
+00:02:56,980 --> 00:03:04,420
+لو كانت متغيرة فزي هيك متغيرة و من T بين ال F و
+
+30
+00:03:04,420 --> 00:03:09,220
+بين ال T من T initial التي final مش هذا منحنى ال F
+
+31
+00:03:09,220 --> 00:03:19,880
+متغير تكامله تكامل ال F دي T بتعطيني ال areaهنا
+
+32
+00:03:19,880 --> 00:03:24,580
+ممكن تكون ال area تحت الملحنة تكامل ال impulse
+
+33
+00:03:24,580 --> 00:03:26,120
+بيعطينا ال FDT
+
+34
+00:03:33,570 --> 00:03:36,870
+كمان بقى بقول ال F average لإنه ال average كأنه
+
+35
+00:03:36,870 --> 00:03:40,810
+ايش بقول كأنه أخدت ال average كان متوسط لهم كأنها
+
+36
+00:03:40,810 --> 00:03:45,490
+عملت ايش F صارت كأنها ثابت اكونستان تطلع برا
+
+37
+00:03:45,490 --> 00:03:49,950
+التكامل اذا ال force انا بقدر احسبها كمان ممكن
+
+38
+00:03:49,950 --> 00:03:53,930
+احسب ال force سوى Delta P على Delta T Delta P على
+
+39
+00:03:53,930 --> 00:03:58,350
+Delta T بطلع ال force او ال impulse على Delta T
+
+40
+00:03:58,350 --> 00:04:03,100
+بقدر احسب من خلاله ال force يعني لو في اي جسمينصدم
+
+41
+00:04:03,100 --> 00:04:07,000
+في بعض الجسم الأول هيدفع الجسم التاني والتاني
+
+42
+00:04:07,000 --> 00:04:12,140
+هيدفع الأول يعني بقدر أقول ال impulse الأول لأتاني
+
+43
+00:04:12,140 --> 00:04:18,000
+بيساوي ال impulse التاني على الأول قريب من قانون
+
+44
+00:04:18,000 --> 00:04:22,720
+نيوتن دفع أثر بقوة ولكن أثر بقوة ما لها معاكسة
+
+45
+00:04:22,720 --> 00:04:30,060
+تنتهي المتساويات لكن اتجاههم ايش عكس الاتجاه اللي
+
+46
+00:04:30,060 --> 00:04:31,580
+بتكلم كده المرة عن متجه
+
+47
+00:04:34,280 --> 00:04:39,300
+طيب هل هذا يختلف مع الـ P initial بيساوي ال P
+
+48
+00:04:39,300 --> 00:04:44,780
+final او ال Delta P لأ هنلاقي ان
+
+49
+00:04:44,780 --> 00:04:50,220
+ال Delta P للأول بيساوي ال Delta P للتاني ناخد
+
+50
+00:04:50,220 --> 00:04:57,380
+مثال بيقول في اندي كعب كتلتها 1500 kilogram اصطدمت
+
+51
+00:04:57,380 --> 00:05:03,610
+في حقق طبعا ايش هتشيرلها؟أى حد يدفع الحقق و الحقق
+
+52
+00:05:03,610 --> 00:05:07,630
+حد يدفعه لكن حقق ماله وين ال impulse فيه هي عبارة
+
+53
+00:05:07,630 --> 00:05:13,750
+عن اهتزازه لكن السيارة ايش بيصير فيها بترتد اصطدمت
+
+54
+00:05:13,750 --> 00:05:18,350
+كانت سرعتها ال V initial بتساوي بالسيارة السالف
+
+55
+00:05:18,350 --> 00:05:24,350
+معناتها اتجاه سالف اربعة و نص ارتدت V final بتساوي
+
+56
+00:05:24,350 --> 00:05:29,790
+اتنين و ستة من عشرة متر per secondبدي احسب اول
+
+57
+00:05:29,790 --> 00:05:34,850
+حاجة ال fine ان باص بعد هيكا بدي احسب ال average
+
+58
+00:05:34,850 --> 00:05:40,350
+false اللي اثرت فيها الحيطة على السيارة و كذلك
+
+59
+00:05:40,350 --> 00:05:44,290
+السيارة على الحيطة بس هتختلف في الاتجاه السيارة
+
+60
+00:05:44,290 --> 00:05:48,470
+هتأثر بهذا الاتجاه الحيطة هتأثر بالاتجاه المعاكس
+
+61
+00:05:49,230 --> 00:05:52,690
+بقول احنا المبارزة لما اجى احسبها بقول هي تغير في
+
+62
+00:05:52,690 --> 00:05:56,610
+ال B final ناقص ال B تغير في ال B يعني كانها B
+
+63
+00:05:56,610 --> 00:06:01,230
+final ناقص B initial B final هي M في V final ناقص
+
+64
+00:06:01,230 --> 00:06:07,670
+M في V initial ال M عام المشترك اتنين وستة من عشرة
+
+65
+00:06:07,670 --> 00:06:15,080
+ناقصV initial سالب اربعة و نص سالب سالب اعطيني
+
+66
+00:06:15,080 --> 00:06:20,600
+اشارة مالها موجبة بيطلع قيمتها هي قيمتها و وحدتها
+
+67
+00:06:20,600 --> 00:06:25,480
+نفس وحدة ايه ايش ال momentum نفس وحدة ال momentum
+
+68
+00:06:25,480 --> 00:06:30,460
+طيب ال force اللي انا بدي احسبها لأ هو ال average
+
+69
+00:06:30,460 --> 00:06:33,760
+force اللي اثرت فيها على السيارة هالجد قيمتها بدي
+
+70
+00:06:33,760 --> 00:06:39,200
+احسب ال time ال contact time جداش زمن اللي هو
+
+71
+00:06:39,200 --> 00:06:45,330
+التسعدهبقول الـ delta P بتساوي او ال .. ال impulse
+
+72
+00:06:45,330 --> 00:06:49,610
+بتساوي F في delta T منها ال delta T بتساوي ال
+
+73
+00:06:49,610 --> 00:06:53,610
+impulse على F ال impulse انا حسبته ال F هي قيمته
+
+74
+00:06:53,610 --> 00:07:01,290
+بيطلع قيمتها جداش ستين و نص ملي ساكنة طب نيجي ناخد
+
+75
+00:07:01,290 --> 00:07:08,250
+كمان مثال مثال تاني في عندى كرة كتلتها 200 gram
+
+76
+00:07:09,520 --> 00:07:21,180
+المقاس بتساوي 200 اجرام نزلت من ارتفاع 81 متر و
+
+77
+00:07:21,180 --> 00:07:22,180
+اصطدمت في الأرض
+
+78
+00:07:26,680 --> 00:07:30,500
+و بعد ما اصطدمت فرقة ارتدت يعني هي منطقات اقتصادهم
+
+79
+00:07:30,500 --> 00:07:36,100
+في منطقة قبل اقتصادهم الجسم سقط كان عنده potential
+
+80
+00:07:36,100 --> 00:07:41,360
+energy طاقة الوضع جداش قيمة طاقة الوضع Mgh
+
+81
+00:07:41,360 --> 00:07:47,460
+الكيناتك energy جداش قيمة الكيناتك energy بتساوي
+
+82
+00:07:47,460 --> 00:07:51,000
+اللي هو Zero اذا بدأ من اين من ال rest من السكون
+
+83
+00:07:51,000 --> 00:07:57,500
+من ارتفاع قيمته واحد و تمانية و عشرسقطت ووصلت
+
+84
+00:07:57,500 --> 00:08:02,420
+الأرض هنا صارت تحول الطاقة البقود إلى طاقة حركة
+
+85
+00:08:02,420 --> 00:08:07,760
+صار عنده طاقة الوضع بالساوية zero لأن ال level هي
+
+86
+00:08:07,760 --> 00:08:10,820
+المستوى الصفر اللي ناخده هنا ال kinetic energy
+
+87
+00:08:10,820 --> 00:08:16,360
+صارت نمتها نص ام في final هذه المرحلة initial
+
+88
+00:08:16,360 --> 00:08:22,300
+للتصادم سرعة هنا صدمها في الأرض السرعة لما صدمت في
+
+89
+00:08:22,300 --> 00:08:27,350
+الأرض قداش قيمتها هي قيمتهاهذه سرعة قبل استدعامها
+
+90
+00:08:27,350 --> 00:08:31,250
+في الأرض مباشرة بقدر احسبه بقدر احسبه
+
+91
+00:08:34,210 --> 00:08:39,950
+بتساول E final E initial M G في H E final نص M V
+
+92
+00:08:39,950 --> 00:08:43,790
+تربيع و ال V بقدر احسبها لما ال M بتروح ال V بتطلع
+
+93
+00:08:43,790 --> 00:08:48,310
+جدر اتنين G في H بتطلع قيمتها اذا كانوا الجسم هاي
+
+94
+00:08:48,310 --> 00:08:54,130
+الجسم او الكرة نزلت على الأرض بسرعة قيمتها خمسة
+
+95
+00:08:54,130 --> 00:08:59,520
+point تسعة اربعة متر ع الساكن هذا V initialالان
+
+96
+00:08:59,520 --> 00:09:04,100
+ارتدت لما ارتدت ارتفعت مسافة جداش قيمتها واحد
+
+97
+00:09:04,100 --> 00:09:08,660
+واثنين من عشرة متر كان عندها سرعة هنا تجل السرعة
+
+98
+00:09:08,660 --> 00:09:12,280
+تجل السرعة لما صارت سرعتها ايه زيرو عند اقصى
+
+99
+00:09:12,280 --> 00:09:17,880
+ارتفاع ارتدت مسافة جداش قيمتها واحد واثنين من عشرة
+
+100
+00:09:17,880 --> 00:09:21,720
+متر اذا ال V بيساوي زيرو معناتها ال كيناتك energy
+
+101
+00:09:21,720 --> 00:09:28,080
+بتساوي زيرو ال potential energy قيمتها MG في H هنا
+
+102
+00:09:29,090 --> 00:09:31,470
+على المستوى الصفر ال potential energy zero ال
+
+103
+00:09:31,470 --> 00:09:35,570
+kinetic energy بالساعة و نص Mv تربية بنفس الكيفية
+
+104
+00:09:35,570 --> 00:09:40,530
+E initial و E final متساويات بطلع عنده قيمة ال V
+
+105
+00:09:40,530 --> 00:09:45,970
+اللي هي الارتد فيها هنا بقدر احسبها V final بتطلع
+
+106
+00:09:45,970 --> 00:09:56,430
+قيمتها 4.95 4.95 الآن ايش طلب مني احسب طلب ان احسب
+
+107
+00:09:56,430 --> 00:10:01,700
+ال impulseالان ال انبلس سهل احسبه هو تغير في ال B
+
+108
+00:10:01,700 --> 00:10:07,800
+character ال انبلس كمان B final ناقص B initial و B
+
+109
+00:10:07,800 --> 00:10:14,620
+final M في V final ناقص M في V initial و بيساوي M
+
+110
+00:10:14,620 --> 00:10:19,800
+في V final ناقص B initial بحسبها و بطلع قيمتها
+
+111
+00:10:19,800 --> 00:10:28,530
+بتطلع قيمتها 2.18 kilogram متر ع السكنالمطلوب
+
+112
+00:10:28,530 --> 00:10:32,050
+التاني ال average force عارفين قانون ال average
+
+113
+00:10:32,050 --> 00:10:37,250
+force بيساوي ال .. ال impulse بيساوي F delta T
+
+114
+00:10:37,250 --> 00:10:42,290
+وهذا ك average ومنها ال F بدي أحسبها ال average
+
+115
+00:10:42,290 --> 00:10:46,210
+force بقول ال F بتساوي ال impulse على ال delta T
+
+116
+00:10:46,210 --> 00:10:52,590
+هو أحطه على الزمن قيمته اتناش من مية اتناش
+
+117
+00:10:52,590 --> 00:10:58,550
+من الف second بقدر أحسب قيمة ال forceفي هذه الحالة
+
+118
+00:10:58,550 --> 00:11:04,210
+نيجي نتكلم اليوم أو نيجي نتكلم الجزية الجديدة عنها
+
+119
+00:11:04,210 --> 00:11:10,550
+اللي هي ال collisions التصادمات ال collisions الآن
+
+120
+00:11:10,550 --> 00:11:16,290
+التصادمات عبارة عن نوعين من التصادمات
+
+121
+00:11:24,330 --> 00:11:27,210
+طب علشان انا ماتكلمت عن ال impulse بالبداية لإنه
+
+122
+00:11:27,210 --> 00:11:29,910
+تصادم عبارة عن دفع الجسم الأول على التاني و دفع
+
+123
+00:11:29,910 --> 00:11:34,550
+الجسم التاني على الأول و في طاقة حركة للجسم الأول
+
+124
+00:11:34,550 --> 00:11:38,230
+بتتغير و طاقة حركة للجسم التاني بتتغير لو أنا أخدت
+
+125
+00:11:38,230 --> 00:11:45,470
+ال system ككل هاي جسمين صدموا في بعضقوة التصادم
+
+126
+00:11:45,470 --> 00:11:49,090
+اللي بينهم واحد بيأثر على الأول كأنها قوة داخلية
+
+127
+00:11:49,090 --> 00:11:53,190
+هذا أثر بفعل التاني أثر برد فعل في الشيء قوة
+
+128
+00:11:53,190 --> 00:11:57,630
+خارجية بتأثر عليهم واعتبرنا ك system واحد في هذه
+
+129
+00:11:57,630 --> 00:12:01,750
+الحالة بيكون عند ال F external بيساوي Zero مازال F
+
+130
+00:12:01,750 --> 00:12:07,010
+external بيساوي Zeroبيكون b initial بيساوي b final
+
+131
+00:12:07,010 --> 00:12:10,270
+بيساوي b initial بيساوي v final هى جسم كتل تقام
+
+132
+00:12:10,270 --> 00:12:14,370
+واحد وهى جسم تانى كتل تقام اتنين هذا بتحرك في v
+
+133
+00:12:14,370 --> 00:12:18,790
+واحد initial وهذا v اتنين اسف هنا v واحد initial
+
+134
+00:12:18,790 --> 00:12:23,170
+وهنا v اتنين initial هيصدموا مع بعض هيصير بعد
+
+135
+00:12:23,170 --> 00:12:28,810
+التصادم هذا يتحرك في v اتنين final وهذا هيتحرك في
+
+136
+00:12:28,810 --> 00:12:30,830
+v واحد final
+
+137
+00:12:33,160 --> 00:12:36,340
+الـ P initial في المرحلة الأولى هي الـ initial و
+
+138
+00:12:36,340 --> 00:12:40,520
+الـ final لازم P initial تساوي ال P final اتكلم ك
+
+139
+00:12:40,520 --> 00:12:44,680
+system واحد ايش هاجوم P initial للجسم الأول زائد P
+
+140
+00:12:44,680 --> 00:12:49,060
+initial للجسم التاني بساوي P initial P final للجسم
+
+141
+00:12:49,060 --> 00:12:54,000
+الأول زائد P final للجسم التاني يعني بقدر اقول P
+
+142
+00:12:54,000 --> 00:12:59,400
+initial للأول زائد P initial للتاني بساوي P final
+
+143
+00:12:59,400 --> 00:13:06,220
+للأول زائد P final للتانييعني M1 في V1 initial
+
+144
+00:13:06,220 --> 00:13:12,000
+زائد M2 في V2 initial بيساوي M1 في V1 final زائد
+
+145
+00:13:12,000 --> 00:13:17,920
+M2 في V2 final هذا عبارة عن اللي هو ال B initial
+
+146
+00:13:17,920 --> 00:13:22,460
+بيساوي ال B final للتصادمات اللي هو التصادمات اللي
+
+147
+00:13:22,460 --> 00:13:27,600
+عنده أيا كان طبيعتها دائما لما أقول في تصادم بقول
+
+148
+00:13:27,600 --> 00:13:34,320
+التصادمباخد كمعزول كجسم لحاله ك system لحاله ال
+
+149
+00:13:34,320 --> 00:13:37,200
+system في هذه الحالة ماذا انا اخدته اللي بعتبر
+
+150
+00:13:37,200 --> 00:13:40,500
+القواتين اللي بين بعض هي قواتين داخليات واحد
+
+151
+00:13:40,500 --> 00:13:44,360
+action واحد reaction بلغوا بعض بيضل عنده اللي هو
+
+152
+00:13:44,360 --> 00:13:49,120
+ال summation لل force external بيسوء zero ومنها ال
+
+153
+00:13:49,120 --> 00:13:52,420
+DB على ال DT بيسوء zero التكامل هبطلع constant اذا
+
+154
+00:13:52,420 --> 00:13:55,940
+بي initial بيسوء بي final اللي هو قانون ال
+
+155
+00:13:55,940 --> 00:14:00,080
+conservation of momentumطيب التصادمات فيها عندى
+
+156
+00:14:00,080 --> 00:14:04,360
+منها نوعين في النوع الأول elastic collision تصادم
+
+157
+00:14:04,360 --> 00:14:11,680
+بنسميه marine تصادم marine له كمان زيادة بدل ما هو
+
+158
+00:14:11,680 --> 00:14:15,860
+P initial بتساوي P final فهذا رقم واحد رقم اتنين
+
+159
+00:14:15,860 --> 00:14:19,220
+ال K initial بتساوي ال K final
+
+160
+00:14:21,920 --> 00:14:28,680
+يعني k1 initial زائد k2 initial ساوية k1 final
+
+161
+00:14:28,680 --> 00:14:34,240
+زائد k2 final وهذه التقنية هي عبارة عن طاقة الحركة
+
+162
+00:14:34,240 --> 00:14:38,760
+للأولان زي طاقة الحركة للتاني قبل التصادم ساوية
+
+163
+00:14:38,760 --> 00:14:43,100
+طاقة الحركة للتاني بعد التصادم زايد طاقة الحركة
+
+164
+00:14:43,100 --> 00:14:49,160
+للأول بعد التصادم إذا بقدر أقول نص m1v1 initial هو
+
+165
+00:14:49,160 --> 00:14:54,890
+للأولزائد الأول قبل بساوي الأول بعيد طاقة الحركة
+
+166
+00:14:54,890 --> 00:14:59,510
+للأول بعيد طاقة الحركة للتاني بعيد اذا صار عندى
+
+167
+00:14:59,510 --> 00:15:03,450
+معادل رقم واحد ومعادل رقم اتنين هذا فقط في مين؟ في
+
+168
+00:15:03,450 --> 00:15:06,990
+ال elastic collision لو مافيش elastic كله لو ال
+
+169
+00:15:06,990 --> 00:15:10,990
+collision مش elastic بسميها inelastic ايش بيصير في
+
+170
+00:15:10,990 --> 00:15:15,630
+ال inelastic؟ بلاقي في عندى فقد في الطاقة هذا احنا
+
+171
+00:15:15,630 --> 00:15:19,070
+بنتكلم عنه لما أصل inelastic ليه نكمل ال elastic؟
+
+172
+00:15:20,020 --> 00:15:23,900
+هو اسف ال N elastic ناخد تعريفها هيكون في عندي فقط
+
+173
+00:15:23,900 --> 00:15:28,320
+في الطاقة يعنيها هيكون عندي في ال N elastic P
+
+174
+00:15:28,320 --> 00:15:36,600
+initial تساوي ال P final لكن ال K initial لا تساوي
+
+175
+00:15:36,600 --> 00:15:42,650
+ال K finalفي عندي حاجة اسمها loss energy في loss
+
+176
+00:15:42,650 --> 00:15:46,670
+في ال kinetic energy من قيمتها K initial ناقص ال K
+
+177
+00:15:46,670 --> 00:15:50,210
+final في طاقة مفقودة يعني لو انت صدم بين سيارتين
+
+178
+00:15:50,210 --> 00:15:54,910
+بتسمع طاقة بتفقد الطاقة على شكل ايش ممكن جزء منها
+
+179
+00:15:54,910 --> 00:15:58,950
+على شكل صوت بتسمع صوت ممكن على شكل ان الجسم اشتغير
+
+180
+00:15:58,950 --> 00:16:04,040
+شكلهممكنش حرارة كل هذه الأمور مالها هي عبارة عن
+
+181
+00:16:04,040 --> 00:16:07,600
+فقد في الطاقة لو نجيب حجرين نخبطهم في بعض بيطلع
+
+182
+00:16:07,600 --> 00:16:11,500
+شرارة اذا السرعة مالها اتحولت للطاقة مالها حرارية
+
+183
+00:16:11,500 --> 00:16:16,520
+في loss energy عبارة عن حرارة قدت لمين ان ال K
+
+184
+00:16:16,520 --> 00:16:20,440
+initial لا تساوي ال K final في loss energy بقدر
+
+185
+00:16:20,440 --> 00:16:23,960
+احسب قيمة ال loss energy قداش قيمتها
+
+186
+00:16:27,020 --> 00:16:30,980
+طيب نيجي في inelastic completely inelastic
+
+187
+00:16:30,980 --> 00:16:36,400
+collision أو perfectly inelastic collision هذا
+
+188
+00:16:36,400 --> 00:16:40,980
+الإتنين بيصطدموا مع بعض الجسم الأول والجسم التاني
+
+189
+00:16:40,980 --> 00:16:46,420
+بيصطدموا مع بعض و بيمشوا الإتنين كجسم air واحد
+
+190
+00:16:46,420 --> 00:16:51,580
+بسرعة نهائيةيعني بقدر اقول P initial في هذه الحالة
+
+191
+00:16:51,580 --> 00:16:55,460
+بيساوي ال P final يعني M واحد في V واحد initial
+
+192
+00:16:55,460 --> 00:16:59,500
+زائد M اتنين في V اتنين initial اتنين جايين بسرعات
+
+193
+00:16:59,500 --> 00:17:03,980
+مختلفة اصطدموا مع بعض و لزجوا مع بعض صاروا كتلة
+
+194
+00:17:03,980 --> 00:17:09,100
+واحدةواتحركوا مع بعض بسرعة اشمالها في final زي ايش
+
+195
+00:17:09,100 --> 00:17:12,900
+اطعم العجين واطعم في كرة لزجت في الكرة ومالها
+
+196
+00:17:12,900 --> 00:17:17,100
+ماشوا مع بعض فصاروا اتحركوا اتنين معاهم بسرعة
+
+197
+00:17:17,100 --> 00:17:21,240
+نهائية اذا بقدر اقول ام واحد في V واحد ناشر يساوي
+
+198
+00:17:21,240 --> 00:17:24,460
+ام اتنين في V اتنين ناشر يساوي ام واحد زاد ام
+
+199
+00:17:24,460 --> 00:17:32,420
+اتنين كتلة واحدة مع بعض اتحركوا في سرعة نهائيةلكن
+
+200
+00:17:32,420 --> 00:17:37,300
+ال kinetic energy بتبقى ما لها ال kinetic energy
+
+201
+00:17:37,300 --> 00:17:42,620
+initial لا تساوي ال final لأنه إشماله inelastic
+
+202
+00:17:42,620 --> 00:17:47,580
+collision بس الاختلاف في هذه الحالة من ال
+
+203
+00:17:47,580 --> 00:17:52,400
+inelastic collision انه اتنين مالهم بمشوا مع بعض
+
+204
+00:17:52,400 --> 00:17:55,720
+اذا بقدر اقول ال kinetic energy is not conserved
+
+205
+00:17:55,720 --> 00:18:00,800
+في فقد فيها بقدر احسب هذا الفقد
+
+206
+00:18:04,080 --> 00:18:08,160
+نجي نخد لنا أول حاجة في ال elastic collision في
+
+207
+00:18:08,160 --> 00:18:15,160
+اتجاه واحد صدم رأسي في ال one dimension elastic
+
+208
+00:18:15,160 --> 00:18:20,520
+collision و نحله و نحله و نشوف إيش بده يطلع معاه
+
+209
+00:18:22,040 --> 00:18:25,400
+بدأ اطبق الـ penatial بيساوي ال penfinal إذا دائما
+
+210
+00:18:25,400 --> 00:18:29,880
+بضغط لما أقول inelastic أو أسف elastic collision
+
+211
+00:18:29,880 --> 00:18:32,900
+لما أقول elastic collision مباشرة بدي أقول
+
+212
+00:18:32,900 --> 00:18:35,300
+penatial بيساوي ال penfinal و penatial بيساوي ال
+
+213
+00:18:35,300 --> 00:18:38,920
+penfinal معادلتين بحلهم مع بعض مش واش مصمم معايا
+
+214
+00:18:38,920 --> 00:18:43,480
+إذا أول حاجة أنا قلت إيش تصادم نوعه تصادم إيش ماله
+
+215
+00:18:43,480 --> 00:18:47,420
+elastic collision تصادم مارين إذا مباشرة لما أقول
+
+216
+00:18:47,420 --> 00:18:50,820
+تصادم مارين بدي أقول penatial
+
+217
+00:18:52,010 --> 00:18:55,530
+بتساوي ال B final ال B initial عبارة عن M واحد في
+
+218
+00:18:55,530 --> 00:18:57,270
+V واحد initial زي M اتنين في V اتنين initial
+
+219
+00:18:57,270 --> 00:18:59,570
+بتساوي M واحد في V واحد final زي M اتنين في V
+
+220
+00:18:59,570 --> 00:19:08,450
+اتنين final طبعا هذه معادلة لرقم واحد معادلة لرقم
+
+221
+00:19:08,450 --> 00:19:12,650
+اتنين بدي اجيبها من ال kinetic energy بدي اجيبها
+
+222
+00:19:12,650 --> 00:19:15,070
+من ال kinetic energy بس قبل ما اجيبها بدي ارتب
+
+223
+00:19:15,070 --> 00:19:20,250
+المعادلة هذه بدي انجل هذا على الطرف التانيم1 وم2
+
+224
+00:19:20,250 --> 00:19:25,230
+انجلها هنا سيرم م1 في v1 initial ناقص سيرم اشارتها
+
+225
+00:19:25,230 --> 00:19:29,990
+ناقص وهذا سيرم اشارتها ناقص سيرم م1 في v1 initial
+
+226
+00:19:29,990 --> 00:19:34,350
+ناقص في v1 final سواء وم2 في v2 final ناقص في v1
+
+227
+00:19:34,350 --> 00:19:38,850
+initial وهذا معادل رقم واحد ماعملتش اشهر بس عملية
+
+228
+00:19:38,850 --> 00:19:44,450
+الترتيب الآن بعد هيك بدي اجيب المعادلة تابعة
+
+229
+00:19:44,450 --> 00:19:50,010
+الكائنات رقم اتنينالـ K initial بتساوي الـ K final
+
+230
+00:19:50,010 --> 00:19:58,530
+الـ K initial نص M واحد V واحد initial تربيع زي نص
+
+231
+00:19:58,530 --> 00:20:02,170
+M اتنين V اتنين initial square بتساوي نص M واحد V
+
+232
+00:20:02,170 --> 00:20:05,110
+واحد final square زي نص M اتنين V اتنين final
+
+233
+00:20:05,110 --> 00:20:09,430
+square الآن بنفس الكيفية، بدي أجيب من النص
+
+234
+00:20:12,200 --> 00:20:17,160
+نص اخد عمو جيمو بيظل عندى وشم وكمان angle ايش بنفس
+
+235
+00:20:17,160 --> 00:20:23,000
+الكيفيه اللى نجلته للمومنتوم هسي ال M1 في V1 النيش
+
+236
+00:20:23,000 --> 00:20:29,360
+ناقص وهذا انجله على الطرف التانى واخد ال M1 عم
+
+237
+00:20:29,360 --> 00:20:33,880
+المشترك وM2 عم المشترك بيطلع عندى M1 في V1 النيش
+
+238
+00:20:33,880 --> 00:20:37,700
+ال square ناقص V1 final square وM2 هي معدلتها
+
+239
+00:20:37,700 --> 00:20:42,330
+مضروبة في هذا القيمة هذا معدل رقم اتنينطلعلي على
+
+240
+00:20:42,330 --> 00:20:48,450
+هذا و هذا فرق مار عليكوا حاجة اسمها فرق مربعين
+
+241
+00:20:48,450 --> 00:20:53,370
+اللي هو كنتوا تسموها ألف تربيع ناقص با تربيع شو
+
+242
+00:20:53,370 --> 00:20:58,210
+بيطلع عندك ألف زائد با و ألف ناقص با نفس الأشي
+
+243
+00:20:58,210 --> 00:21:02,990
+هيطلع عندك مرة بالناقص و مرة بالزائد مرة بالناقص و
+
+244
+00:21:02,990 --> 00:21:09,840
+مرة ايش بالزائد هذه معادلة رقم اتنينمن معادلة رقم
+
+245
+00:21:09,840 --> 00:21:13,960
+اتنين ومعادلة رقم واحد بتلاقي فيه تشابه كبير في
+
+246
+00:21:13,960 --> 00:21:18,460
+جزئين يعني لو طلعته على هذا وعلى هذا هو نفسه اللي
+
+247
+00:21:18,460 --> 00:21:21,900
+كان متساوياته إذا بقدم زي متساويات بشيلهم مش بيضل
+
+248
+00:21:21,900 --> 00:21:26,420
+عنده بيضل عند هذه القيمة و هذه القيمة هذولا لازم
+
+249
+00:21:26,420 --> 00:21:30,160
+يكونوا متساوية عشان الطرفين عندي في المعادلة
+
+250
+00:21:30,160 --> 00:21:35,900
+السابقةلو طلعت عليها تبع المويندم هايها هذه القيمة
+
+251
+00:21:35,900 --> 00:21:42,000
+بيساوي هذه القيمة وهذه القيمة هايها وهذه القيمة
+
+252
+00:21:42,000 --> 00:21:45,320
+هايها متساوية لذا هذا لازم يساوي هذا لتطلع في اندي
+
+253
+00:21:45,320 --> 00:21:50,340
+شرط التساوي صحيح فبطلع عندى معادل رقم تلاتة هاي
+
+254
+00:21:50,340 --> 00:21:56,520
+تلاتة بطلع هذا بيساوي هذا بطلع عندى V1 initial زي
+
+255
+00:21:56,520 --> 00:22:04,320
+V1 finalV1 initial V1 final V2 initial V2 final V2
+
+256
+00:22:04,320 --> 00:22:05,920
+initial V2 initial V2 initial V2 initial V2
+
+257
+00:22:05,920 --> 00:22:07,720
+initial V2 initial V2 initial V2 initial V2
+
+258
+00:22:07,720 --> 00:22:10,860
+initial V2 initial V2 initial V2 initial V2
+
+259
+00:22:10,860 --> 00:22:11,460
+initial V2 initial V2 initial V2 initial V2
+
+260
+00:22:11,460 --> 00:22:11,500
+initial V2 initial V2 initial V2 initial V2
+
+261
+00:22:11,500 --> 00:22:11,680
+initial V2 initial V2 initial V2 initial V2
+
+262
+00:22:11,680 --> 00:22:11,740
+initial V2 initial V2 initial V2 initial V2
+
+263
+00:22:11,740 --> 00:22:12,560
+initial V2 initial V2 initial V2 initial V2
+
+264
+00:22:12,560 --> 00:22:12,580
+initial V2 initial V2 initial V2 initial V2
+
+265
+00:22:12,580 --> 00:22:12,580
+initial V2 initial V2 initial V2 initial V2
+
+266
+00:22:12,580 --> 00:22:12,600
+initial V2 initial V2 initial V2 initial V2
+
+267
+00:22:12,600 --> 00:22:12,600
+initial V2 initial V2 initial V2 initial V2
+
+268
+00:22:12,600 --> 00:22:12,600
+initial V2 initial V2 initial V2 initial V2
+
+269
+00:22:12,600 --> 00:22:12,600
+initial V2 initial V2 initial V2 initial V2
+
+270
+00:22:12,600 --> 00:22:12,600
+initial V2 initial V2 initial V2 initial V2
+
+271
+00:22:12,600 --> 00:22:12,600
+initial V2 initial V2 initial V2 initial V2
+
+272
+00:22:12,600 --> 00:22:17,100
+initial V2 initial V2 initial V2 initial V2
+
+273
+00:22:17,100 --> 00:22:27,360
+initial V2
+
+274
+00:22:27,360 --> 00:22:28,460
+initial V2
+
+275
+00:22:30,610 --> 00:22:36,370
+في الاخر هيطلع عندى V واحل المعادلات مع بعض هتطلع
+
+276
+00:22:36,370 --> 00:22:40,550
+V واحد final اللى أنا بدور عليها و V اتنين final
+
+277
+00:22:40,550 --> 00:22:46,250
+هى قيمتها لما
+
+278
+00:22:46,250 --> 00:22:49,430
+حلهم V واحد final و V اتنين final سهل اتعامل معاهم
+
+279
+00:22:49,430 --> 00:22:52,070
+هلاخدوا كله ام واحد زاد ام اتنين ام واحد زاد ام
+
+280
+00:22:52,070 --> 00:22:55,110
+اتنين ام واحد زاد ام اتنين ام واحد زاد ام اتنينهنا
+
+281
+00:22:55,110 --> 00:22:59,070
+V1 initial V2 initial V1 initial V2 initial ببدأ
+
+282
+00:22:59,070 --> 00:23:03,650
+بام واحد ناقص ام اتنين هنا هنا اتنين ام اتنين
+
+283
+00:23:03,650 --> 00:23:08,390
+اتنين ام واحد عكس بعض هنا ام اتنين ناقص ام واحد زي
+
+284
+00:23:08,390 --> 00:23:10,970
+المرة ام واحد ناقص ام اتنين بعكسهم ع الشجرة
+
+285
+00:23:10,970 --> 00:23:13,670
+التانية بيصير ام اتنين ناقص ام واحد واندي هنا
+
+286
+00:23:13,670 --> 00:23:17,470
+اتنين ام اتنين العكس لها هنا بطلع اتنين ام واحد
+
+287
+00:23:17,470 --> 00:23:21,710
+هذه لما حلها بضل اقيمتها وبنحاول نكمل المحاضرة
+
+288
+00:23:21,710 --> 00:23:23,570
+الجاي وأعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/orGQfacvFHM_postprocess.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/orGQfacvFHM_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..8cfce399c2365661f691c8f0c772a651f2453d79
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/orGQfacvFHM_postprocess.srt
@@ -0,0 +1,992 @@
+1
+00:00:05,720 --> 00:00:08,700
+بسم الله الرحمن الرحيم نكمل معاكوا اليوم إن شاء
+
+2
+00:00:08,700 --> 00:00:14,360
+الله اللي هو النقطة اللي وقفناها أخر حاجة كانت ال
+
+3
+00:00:14,360 --> 00:00:20,280
+work done by varying force الآن أنا في عندي قوة
+
+4
+00:00:20,280 --> 00:00:26,340
+متغيرة و بده أحسب اللي هي ال work done by this
+
+5
+00:00:26,340 --> 00:00:30,540
+force ال work done قولت أنا مابنفعش في هذه الحالة
+
+6
+00:00:30,540 --> 00:00:36,790
+أخدنا مثال قولنا ال workالـ force لما تكون
+
+7
+00:00:36,790 --> 00:00:41,750
+constant قيمتها ثابتة زي خمسة نيوتر لكن لو كانت
+
+8
+00:00:41,750 --> 00:00:47,230
+function في ال X مثلا او في ال Y خمسة X معناتها
+
+9
+00:00:47,230 --> 00:00:51,230
+قيمتها بتتغير عن كل displacement فلذلك لازم اجري
+
+10
+00:00:51,230 --> 00:00:59,620
+ايش التكامل طب لو قلتلك انا هاي ال force وهي ال Xو
+
+11
+00:00:59,620 --> 00:01:03,700
+ال force بتتغير زي هيك و جيب لي ال work done by
+
+12
+00:01:03,700 --> 00:01:08,380
+this force ال force متغيرة كيف اجيب ال force من
+
+13
+00:01:08,380 --> 00:01:12,100
+initial ل final تكوين من initial ل final لهذا
+
+14
+00:01:12,100 --> 00:01:17,120
+المنحنى ايش بعطيناه المساحة تحت المنحنى اذا ال
+
+15
+00:01:17,120 --> 00:01:22,370
+work لو انا اعطيك functionبين ال F وبين ال
+
+16
+00:01:22,370 --> 00:01:26,070
+displacement قلتلك أوجدلي ال work done by this
+
+17
+00:01:26,070 --> 00:01:29,410
+force إذا في هذه الحالة ال work done بساوية اللي
+
+18
+00:01:29,410 --> 00:01:33,790
+هي ال area تحت هذه المنحنة هذه معلومة ما بدنا نكون
+
+19
+00:01:33,790 --> 00:01:37,590
+واضح عنها قولنا أخدنا مثال للقوة المتغيرة قولنا
+
+20
+00:01:37,590 --> 00:01:41,970
+للقوة المتغيرة إزايالـ work الناشي أو القوة تبعت
+
+21
+00:01:41,970 --> 00:01:46,290
+الزنبرة القوة تبعت الزنبرة حسبناها و قلنا اشملها
+
+22
+00:01:46,290 --> 00:01:49,490
+في قانون hoax و قيمتها بالساوي سالب كيف ال X و
+
+23
+00:01:49,490 --> 00:01:53,750
+السالب وضحناها و قلناها عكس الشي عكس ال
+
+24
+00:01:53,750 --> 00:01:57,390
+displacement دايما opposite ال displacement لشعر
+
+25
+00:01:57,390 --> 00:02:01,270
+السالب ال K هو force constant و ال X هي
+
+26
+00:02:01,270 --> 00:02:04,150
+displacement اللي اتجاه ال X الان جبت ال work من
+
+27
+00:02:04,150 --> 00:02:07,830
+ال spring حسبته و طلعت قيمته اللي هو نص K يطلع عند
+
+28
+00:02:07,830 --> 00:02:09,130
+قيمة ال work من ال spring
+
+29
+00:02:18,430 --> 00:02:22,980
+الأن ناخد مثال على هالكلام أو جميعا ما ناخد مثالهل
+
+30
+00:02:22,980 --> 00:02:27,140
+ممكن يكون ال work ناشي من ال spring موجب ممكن يكون
+
+31
+00:02:27,140 --> 00:02:30,960
+موجب و ممكن يكون ايش ما له سالب وقت ايش يكون موجب
+
+32
+00:02:30,960 --> 00:02:35,900
+وقت ايش يكون سالب اطلعوني وحطولي X initial 0 ايش
+
+33
+00:02:35,900 --> 00:02:39,920
+معناه X initial 0 يعني بدأ من نقطة ال equilibrium
+
+34
+00:02:39,920 --> 00:02:47,240
+position من نقطة الاتزام من هنا وراح تحرك من ازاحة
+
+35
+00:02:47,240 --> 00:02:53,950
+يا لليمين يا لليسارهذه تربية تحرك لليمين اتنين
+
+36
+00:02:53,950 --> 00:02:59,310
+سانت مثلا بقول اتنين تربيةإشارة السالب بيطلع ال
+
+37
+00:02:59,310 --> 00:03:04,510
+work من ال spring إشماله بالسالب طيب سالب اتنين
+
+38
+00:03:04,510 --> 00:03:08,770
+إذا أحده كان في اتجاه السالب سالب اتنين square إيش
+
+39
+00:03:08,770 --> 00:03:12,030
+بيحصل في إشارة السالب هذه؟ بتروح في إشارة السالب
+
+40
+00:03:12,030 --> 00:03:17,230
+برضه بيطلع إشماله سالب يعني بمعنى آخر إذا تحركت
+
+41
+00:03:17,230 --> 00:03:22,370
+مبتعد عن نقطة الإتزان لليمين أو اليسار يعني أنا لو
+
+42
+00:03:22,370 --> 00:03:28,070
+جيبت زمبراك أو شيء و سحبتهيكون ال work من ال
+
+43
+00:03:28,070 --> 00:03:32,490
+spring قيمته بالسالم جيب الزنبراي او ضغطه ال work
+
+44
+00:03:32,490 --> 00:03:38,410
+من ال spring ماله بالسالم طيب لو العكس تماما كان
+
+45
+00:03:38,410 --> 00:03:44,010
+هو مضغوط انا ساحبه و تركته ال work من ال spring في
+
+46
+00:03:44,010 --> 00:03:49,710
+هذه الحالة ايش ماله موجب بعطيني ايش work لكن و
+
+47
+00:03:49,710 --> 00:03:54,320
+كذلك نفس الشيء لو كان مضغوطلو كان مسحوب و تركته
+
+48
+00:03:54,320 --> 00:03:57,640
+برميلي حاجة لو كان مضغوط و حطيت عليك و تلقى برمي
+
+49
+00:03:57,640 --> 00:04:01,800
+حاجة إذا في هذه الحالة نفس الفكرة إذا كان مضغوط أو
+
+50
+00:04:01,800 --> 00:04:07,680
+مسحوب ال work منه إيش بالموجة إيش معناته إنه لو
+
+51
+00:04:07,680 --> 00:04:14,040
+كان مضغوط أو مسحوب مضغوط بده يرجع لنقطة الأصل
+
+52
+00:04:14,040 --> 00:04:20,760
+مسحوب بده يرجع لنقطة الأصل إذا النهاية هي ال zero
+
+53
+00:04:21,920 --> 00:04:24,660
+ماذا يحصل عند هذا الحد قيمته زيرو إذا بيطلع ال
+
+54
+00:04:24,660 --> 00:04:29,860
+work من ال spring قيمته نص ككس اناشيا التربية
+
+55
+00:04:29,860 --> 00:04:34,410
+متاني ناقص زيرولأنه تحرك ناحية نقطة الإتزان إذا
+
+56
+00:04:34,410 --> 00:04:40,810
+بقدر أقول ملخص بسيط جدا إذا عند spring تحركة مبتعد
+
+57
+00:04:40,810 --> 00:04:45,270
+عن نقطة الإتزان يا سحبته يا ضغطه ال work منه
+
+58
+00:04:45,270 --> 00:04:50,090
+بالسالب نقطة هتظلها معلومة عنده هنا إذا تحركة
+
+59
+00:04:50,090 --> 00:04:54,850
+مقترب من نقطة الإتزان رايح لنقطة الإتزان في كلا
+
+60
+00:04:54,850 --> 00:04:59,110
+الحالتين بيكون ال work منه بالموجة إذا ال work منه
+
+61
+00:04:59,110 --> 00:05:04,680
+بيكون بالسالب واتقشلما يبدأ من وين هذه النقطين
+
+62
+00:05:04,680 --> 00:05:10,800
+اللي انا قلتهم بيكون positive اذا تحرك ناحية نقطة
+
+63
+00:05:10,800 --> 00:05:15,040
+الاتزان يعني كان مضغوط و تركته او مسحوق و تركته
+
+64
+00:05:15,040 --> 00:05:22,300
+وبيكون negative اذا تحرك from from نقطة الاتزان في
+
+65
+00:05:22,300 --> 00:05:26,000
+نقطة مهم جدا ان ال work اللي انا بذله نفسه اللي
+
+66
+00:05:26,000 --> 00:05:30,220
+بحطه في الزنبالةيعني انا بدلت من external force
+
+67
+00:05:30,220 --> 00:05:33,540
+على زمبراك ضغطه القيم اللي انا اعطيته يه ال work
+
+68
+00:05:33,540 --> 00:05:36,640
+اللي انا بدلته هو نفسه اللي انا خزنته في مين في
+
+69
+00:05:36,640 --> 00:05:40,560
+زمبراك اذا ال external force اللازمة لضغط زمبراك
+
+70
+00:05:40,560 --> 00:05:47,800
+او سحب زمبراك equal to ish ال work done by spring
+
+71
+00:05:47,800 --> 00:05:53,500
+force اللي هي من القوة الشمالها الخارجية المؤثرة
+
+72
+00:05:53,500 --> 00:05:53,880
+على ال spring
+
+73
+00:06:04,080 --> 00:06:11,320
+بناخد مثال الان
+
+74
+00:06:11,320 --> 00:06:15,340
+اللي فيه زمبراك و روحت سحبته او ضغطته في كل
+
+75
+00:06:15,340 --> 00:06:19,140
+الحالتين ليه تثبيت المعلومة اللي قولناها هل
+
+76
+00:06:19,140 --> 00:06:26,600
+متوقعين اذا انا سحبته او ضغطته هاي زمبراك في ال X
+
+77
+00:06:26,600 --> 00:06:31,830
+في عينها اللي بيساوي 0الـ x final يستوي سالب تلاتة
+
+78
+00:06:31,830 --> 00:06:36,490
+سنتمتر يعني روح اضغط و أنا مسافة سالب تلاتة سنتمتر
+
+79
+00:06:36,490 --> 00:06:40,090
+و بدأ من نقطة الاتزان لذا الـ x initial جدش قيمته
+
+80
+00:06:40,090 --> 00:06:46,830
+زيرو و سحبته لاحظوا هصير سالب تلاتة في عشر أقل
+
+81
+00:06:46,830 --> 00:06:50,090
+سالب اتنين لان سالب اتنين من سنتمتر يعني سحبته
+
+82
+00:06:50,090 --> 00:06:55,150
+سالب تلاتة أو اضغطه سالب تلاتة سنتمتر تربيةأيش
+
+83
+00:06:55,150 --> 00:06:58,030
+بتطلع عند السالب اللى جوا بتروح لكن بتظل السالب
+
+84
+00:06:58,030 --> 00:07:02,830
+اللى برا فبطلع ال work الناشئ منه إيش سالب إذا ال
+
+85
+00:07:02,830 --> 00:07:06,930
+final position قيمته جداش عنده سالب تلاتة
+
+86
+00:07:06,930 --> 00:07:13,290
+centimeter الان رجع ده نقطة الاتزان سحبت ضغطه مثلا
+
+87
+00:07:13,290 --> 00:07:18,290
+و بعدين تركتهالـ work ناشئ منه في هذه الحالة راح
+
+88
+00:07:18,290 --> 00:07:22,370
+لنقطة الاتزان ايش معناه راح لنقطة الاتزان X final
+
+89
+00:07:22,370 --> 00:07:27,370
+صارت بالساوى 0 لذا في هذه الحالة بيبقى عندي نص X
+
+90
+00:07:27,370 --> 00:07:30,510
+initial X initial كان مضغوط تلاتة سنتمتر فاطلع
+
+91
+00:07:30,510 --> 00:07:35,630
+قيمته ايش بالموجة وهذا اللي قلنا اذا تحرك مبتعد او
+
+92
+00:07:35,630 --> 00:07:40,230
+مقترب من نقطة الاتزان مبتعد من نقطة الاتزان ضغطه
+
+93
+00:07:41,480 --> 00:07:44,940
+أبعدته عن نقطة الإتزان مضغوط رجع إلى نقطة الإتزان
+
+94
+00:07:44,940 --> 00:07:48,380
+هذا الحالة الأولى هذا الحالة التانية هذا كان
+
+95
+00:07:48,380 --> 00:07:53,140
+بالسالب هذا صار أيش بالموجب و نفس القيمة يعني
+
+96
+00:07:53,140 --> 00:07:57,740
+كأنني خزنت في الشغل فأعطانيه مرة تانية أخر حاجة
+
+97
+00:07:57,740 --> 00:08:01,760
+بنتكلم عنها اليوم اللي هو work kinetic energy
+
+98
+00:08:01,760 --> 00:08:06,840
+theorem work kinetic energy theorem احنا قبل هيكة
+
+99
+00:08:06,840 --> 00:08:13,000
+اتعرفناان انا احسب ال work طب ايش علاقة بال energy
+
+100
+00:08:13,000 --> 00:08:19,300
+او بالكيناتك energy ال work علاقته بالكيناتك
+
+101
+00:08:19,300 --> 00:08:22,580
+energy ال work net ايش بده يساوي ال work net هو ال
+
+102
+00:08:22,580 --> 00:08:27,540
+work ناشي نكتبها هنا ال work ناشي net هو ال work
+
+103
+00:08:27,540 --> 00:08:32,340
+ال ناشي من F1 وزائد ال work ال ناشي من F2 زائد ال
+
+104
+00:08:32,340 --> 00:08:37,040
+work ال ناشي من F3 زائد زائد زائد زائد هذا كل ال
+
+105
+00:08:37,040 --> 00:08:43,580
+work ناشيطيب ال work الناشئ مش هو من مجموعة من F1
+
+106
+00:08:43,580 --> 00:08:48,120
+F2 F3 طب لو جبت ال force الكلية إيها ال force إيش
+
+107
+00:08:48,120 --> 00:08:52,380
+بتساوي ال summation ل ال force مش بتساوي F1 زي F2
+
+108
+00:08:52,380 --> 00:08:56,640
+بقدر أقول لو اتجاه ال X بتساوي M في A X
+
+109
+00:09:00,810 --> 00:09:07,470
+بتسويل M في مشتقة A بالنسبة للزمن مشتقة الولستر
+
+110
+00:09:07,470 --> 00:09:17,030
+بالنسبة للزمن في مرات عليا علاقة DV على DT بتساوي
+
+111
+00:09:17,030 --> 00:09:25,710
+DV على DX في DX على DT DX
+
+112
+00:09:25,710 --> 00:09:33,090
+على DT بقدر أبدلها و أحط محلهاالـ velocity يعني
+
+113
+00:09:33,090 --> 00:09:40,110
+إذا أحب بالنسبة للزمن إذا بقدر أقول DV على DT
+
+114
+00:09:40,110 --> 00:09:48,750
+بتساوي V في DV على DX نرجع
+
+115
+00:09:48,750 --> 00:09:52,690
+لل word net ال word net قلنا مجموعة أو ال word net
+
+116
+00:09:52,690 --> 00:09:56,510
+بقدر أقول بيساوي هو التكامل من initial to final
+
+117
+00:09:56,510 --> 00:09:58,750
+FxDx
+
+118
+00:10:00,500 --> 00:10:05,020
+و ال Fx مجموعة القوة في M في Ax و Ax هي Dv على Dt
+
+119
+00:10:05,020 --> 00:10:09,720
+و Dv على Dt هي .. بقدر أقول إن ال work في هذه
+
+120
+00:10:09,720 --> 00:10:16,280
+الحالة بيساوى التكامل من الاشياء اللي فعنا F M في
+
+121
+00:10:16,280 --> 00:10:23,360
+Ax و Ax محلها Dv على Dt و Dv محلها V Dv على D .. V
+
+122
+00:10:23,360 --> 00:10:26,980
+Dv
+
+123
+00:10:26,980 --> 00:10:34,770
+على Dx في Dxهذه هي ال velocity إذا
+
+124
+00:10:34,770 --> 00:10:38,410
+نطلع كأنه تكامل من initial ل final
+
+125
+00:10:40,920 --> 00:10:47,780
+mvdv هذي بيساوي الام كونستان كتلة الجسم v2 على
+
+126
+00:10:47,780 --> 00:10:53,080
+اتنين من initial ل final اذا بتساوي تتعود من
+
+127
+00:10:53,080 --> 00:10:56,680
+initial ل final اللي فوق ناقص اللي تحت اذا بقدر
+
+128
+00:10:56,680 --> 00:11:05,680
+اقول ال word net بتساوي نص mv final square ناقص نص
+
+129
+00:11:05,680 --> 00:11:13,460
+mv initial squareإذا ال work net صير تجيبه بأكتر
+
+130
+00:11:13,460 --> 00:11:17,280
+من طريقةالـ work net أجيب ال work من ال force
+
+131
+00:11:17,280 --> 00:11:19,020
+الأولى ال work من ال force التانية ال work من ال
+
+132
+00:11:19,020 --> 00:11:22,520
+force التالتة و ال work net إذا عرفت السرعات بقدر
+
+133
+00:11:22,520 --> 00:11:25,420
+أجيب السرعة الأولى و السرعة النهائية و أقول ال
+
+134
+00:11:25,420 --> 00:11:29,800
+work net في هذه الحالة بيساوي نص mv final square
+
+135
+00:11:29,800 --> 00:11:35,340
+ناقص نص mv initial square مين بيذكرنا نص m نص
+
+136
+00:11:35,340 --> 00:11:40,620
+الكتلة cap في n square إيش كانت بتساوي تعطيني ال
+
+137
+00:11:40,620 --> 00:11:44,430
+kinetic energy اللي هي طاقة الحركةلذن طاقة الحركة
+
+138
+00:11:44,430 --> 00:11:48,790
+النهائية k final ناقص k initial اللي هي بسميها
+
+139
+00:11:48,790 --> 00:11:55,650
+delta k لذن ال work net بيساوي التغير في مين في
+
+140
+00:11:55,650 --> 00:11:59,030
+طاقة إيش الحركة لذن بقدر أقول ال work net نفسه
+
+141
+00:11:59,030 --> 00:12:04,730
+بهذا الآن بيساوي ال work من كل قوة على حد ده أو ال
+
+142
+00:12:04,730 --> 00:12:10,570
+work net بيساوي k final ناقص k initial
+
+143
+00:12:14,750 --> 00:12:20,210
+وهذا بيساوي نص M في final square ناقص نص M في
+
+144
+00:12:20,210 --> 00:12:23,810
+initial square لا إيش بالذمن هذا في الحالة؟ هذا
+
+145
+00:12:23,810 --> 00:12:28,080
+بالذمن في الحالةإن انا لو أعطاني السرعة الابتدائية
+
+146
+00:12:28,080 --> 00:12:32,300
+ممكن ليجيب السرعة النهائية مش هتعرفش مش بتصيرلي
+
+147
+00:12:32,300 --> 00:12:35,700
+إزاحة لما يصير إزاحة إله سرعة نهائية إله سرعة
+
+148
+00:12:35,700 --> 00:12:37,640
+نهائية إله سرعة ابتدائية إله سرعة ابتدائية في
+
+149
+00:12:37,640 --> 00:12:41,220
+علاقة بتربطهم في علاقة بتربطهم بالقوة بتربطهم
+
+150
+00:12:41,220 --> 00:12:43,260
+بالقوة لإن القوة فيها acceleration و ال
+
+151
+00:12:43,260 --> 00:12:46,340
+acceleration فيها velocity زي ما في الآخر أنا بقدر
+
+152
+00:12:46,340 --> 00:12:49,100
+أحسب السرعة النهائية أو السرعة الابتدائية تبعدنا
+
+153
+00:12:49,100 --> 00:12:55,500
+المعطى اللي موجود عندىمثال المثال السابق نفسه اللي
+
+154
+00:12:55,500 --> 00:12:59,120
+أثرنا عليه بقوة قيمتها عشرين واتحرك اللي في
+
+155
+00:12:59,120 --> 00:13:07,200
+المحاضرة اللي فاتت واتحرك مسافة أربعة متر لأ لو
+
+156
+00:13:07,200 --> 00:13:10,880
+جالي أحسب إذا بدأ من السكون يعني ال V initial إله
+
+157
+00:13:10,880 --> 00:13:16,180
+بيساوي Zero بدي أوجد V final إيش بدي أعمل؟ بدي
+
+158
+00:13:16,180 --> 00:13:20,080
+أجيب ال worknet ذاكرين جبناه وقلنا ال worknet ال
+
+159
+00:13:20,080 --> 00:13:23,640
+work ناشي من القفلزاد ال work ناشئ من ال friction
+
+160
+00:13:23,640 --> 00:13:27,660
+force زاد ال work ناشئ من ال energy زاد ال work
+
+161
+00:13:27,660 --> 00:13:30,940
+ناشئ من ال normal force وقلنا normal force وهذا
+
+162
+00:13:30,940 --> 00:13:34,700
+بيساوي 0 ليش لأنهم متعامدات مع الإزاحة ايش بيظل ال
+
+163
+00:13:34,700 --> 00:13:37,220
+work من ال F الذاكرين طلعت جداش قيمتها ال work من
+
+164
+00:13:37,220 --> 00:13:41,260
+ال F تلاتة وستين على مضن وإيش كسب ال work ناشئ
+
+165
+00:13:41,260 --> 00:13:45,700
+منها طلعت بالسالب لما جمعتهم طلع قيمة ال work net
+
+166
+00:13:47,680 --> 00:13:55,440
+بساوي 57.8 جول هاي ال work net اللي موجود عندك طب
+
+167
+00:13:55,440 --> 00:14:02,700
+ال work net بيساوي نص ام في final square ناقص نص
+
+168
+00:14:02,700 --> 00:14:07,020
+ام في initial square في initial قلنا بدأ من السكون
+
+169
+00:14:07,020 --> 00:14:14,980
+نص اذا بقدر اقول 57.8بساوي نص الكتلة قداش اطانياها
+
+170
+00:14:14,980 --> 00:14:19,380
+اتنين كيلو جرام نص في اتنين في V final square
+
+171
+00:14:19,380 --> 00:14:27,100
+وبقدر اطلع قيمة V final square قيمة اذا من هذه
+
+172
+00:14:27,100 --> 00:14:33,200
+العلاقة بقدر اوجد ال V final ناخد كمان مثال على
+
+173
+00:14:33,200 --> 00:14:38,820
+هذه الكلام اللي
+
+174
+00:14:38,820 --> 00:14:40,660
+هو مثال
+
+175
+00:14:42,210 --> 00:14:48,090
+اللي هو 6.4 أو ال example الرابع في هذا الشبطة
+
+176
+00:14:48,090 --> 00:14:58,830
+بيقول فيه ان دي جسم موجود على سطح خشن ومائل أثرت
+
+177
+00:14:58,830 --> 00:15:01,990
+عليه بقوة قيمتها عشرين نيوتن
+
+178
+00:15:11,050 --> 00:15:16,390
+تحرك لمسافة نص متر يعني ارتفع مسافة دي بتساوي نص
+
+179
+00:15:16,390 --> 00:15:23,270
+متر على سطح الماء بدي اوجد ال work done by force
+
+180
+00:15:23,270 --> 00:15:27,150
+في gravity ال work done by force اللي هو عشانين
+
+181
+00:15:27,150 --> 00:15:31,530
+نيوتن ال work done by friction force اذا كانت
+
+182
+00:15:31,530 --> 00:15:34,890
+الميوكيه بتساوي اتنين او عشرة اذا كانت الكينات ال
+
+183
+00:15:34,890 --> 00:15:40,620
+energy اعطاني قيمتهابدي اوجد ايش what is ده كينات
+
+184
+00:15:40,620 --> 00:15:45,380
+كينيرجيا قد انت يعني الكينات كينيرجيا من البداية
+
+185
+00:15:45,380 --> 00:15:49,540
+الجد قيمتها جديش الكينات كينيرجيا النهائية ايش بدي
+
+186
+00:15:49,540 --> 00:15:53,980
+اعمل اول حاجة ال work done by force of gravity بدي
+
+187
+00:15:53,980 --> 00:15:57,420
+اجي ارسم ال free body diagram ال free body diagram
+
+188
+00:15:57,420 --> 00:16:03,540
+ذاكرينه هنا mg هذا بتحلل هنا ايش بيصير عندي mg
+
+189
+00:16:03,540 --> 00:16:09,930
+صينيز زاوية وهنا بيصير عندي mgوهنا فيه normal
+
+190
+00:16:09,930 --> 00:16:17,250
+force وهنا فيه ال F التي قيمتها 20 نيوتر هل في قوة
+
+191
+00:16:17,250 --> 00:16:20,370
+تانية بتأثر على الجسم فهي كمان قوة بتأثر على الجسم
+
+192
+00:16:20,370 --> 00:16:27,970
+وما ننساش جالس سطح راف فهنا FK و FK ايش بيساوي ميو
+
+193
+00:16:27,970 --> 00:16:33,470
+كي في ال normal force تحتي الزمن ال work ناشئ من
+
+194
+00:16:33,470 --> 00:16:37,570
+ال gravity ايش بيساوي ال work ناشئ من ال gravity
+
+195
+00:16:38,640 --> 00:16:42,240
+الـ Gravity عبارة عن MG Cos الزاوية إذا ال work
+
+196
+00:16:42,240 --> 00:16:47,360
+الناشئ من ال Gravity هو ال work الناشئ من MG Cos
+
+197
+00:16:47,360 --> 00:16:52,700
+الزاوية هو ال work الناشئ من MG Cos الزاوية زاد ال
+
+198
+00:16:52,700 --> 00:16:56,640
+work الناشئ من MG Sin الزاوية لكن هذا بيساوي Zero
+
+199
+00:16:56,640 --> 00:17:01,240
+ليش بيساوي Zero؟ لأنه عمودي على ال Displacement
+
+200
+00:17:01,240 --> 00:17:06,370
+يبقى ال work الناشئ من MGساين الزاوية هي قيم MG
+
+201
+00:17:06,370 --> 00:17:12,270
+ساين الزاوية في الإزاحة الإزاحة وينها هي الإزاحة و
+
+202
+00:17:12,270 --> 00:17:15,710
+ال MG وينها عكس بعض إذا نتوقع أن يطلع الزاوية اللي
+
+203
+00:17:15,710 --> 00:17:18,390
+بينهم جديش مائة و تمانين كسايم مائة و تمانين
+
+204
+00:17:18,390 --> 00:17:23,230
+بتعطيني إشارة مالها سالبة في جديش في الإزاحة اللي
+
+205
+00:17:23,230 --> 00:17:26,810
+هي قيمتها نص متر
+
+206
+00:17:30,670 --> 00:17:34,090
+إذاً في إشارة سالبة ما أنساش الإشارة السالبة هذي
+
+207
+00:17:34,090 --> 00:17:39,010
+إيش معناتها إنه الـ MG Sin الزاوية كأنها مش مسئولة
+
+208
+00:17:39,010 --> 00:17:43,610
+كأنها بتعمل إعاقة لمين إعاقة للإزاعة أو إعاقة
+
+209
+00:17:43,610 --> 00:17:47,310
+للشغل بتعوي الشغل بترفع الجسم وهي إيش معناها بتعوي
+
+210
+00:17:47,310 --> 00:17:51,850
+رافع هذا الجسم المطلوب بتاعني ال work done by ال
+
+211
+00:17:51,850 --> 00:17:57,890
+20 نيوتن ال work من العشرين إيش بتساويلاحظ الـ 20
+
+212
+00:17:57,890 --> 00:18:02,070
+و الـ D مع بعض إذا إيش ماله ال work ناشط منه إيش
+
+213
+00:18:02,070 --> 00:18:06,230
+موجب عشرين لأن الزاوية اللي بينهم zero كسوان ال
+
+214
+00:18:06,230 --> 00:18:11,590
+zero واحد إذا بقدر أقول عشرين مضروب في أكم في نص
+
+215
+00:18:11,590 --> 00:18:18,170
+في الإزاحة اللي موجودة عندك و بطلع قيمتها بطلع
+
+216
+00:18:18,170 --> 00:18:24,150
+قيمتها عشر أجر طلعت قيمة الأخر أو قبل الأخر ال
+
+217
+00:18:24,150 --> 00:18:28,740
+work doneby friction force الوارد الناسي من ال
+
+218
+00:18:28,740 --> 00:18:32,080
+friction force طب ال friction force ال word done
+
+219
+00:18:32,080 --> 00:18:35,840
+من ال friction force بالسالب لإيش بالسالب لإنه
+
+220
+00:18:35,840 --> 00:18:41,980
+friction force عكس الإزاحة FK في مين في الإزاحة في
+
+221
+00:18:41,980 --> 00:18:47,100
+ال D والسالب هذي لإنه كان المرأة بيقول عكس إذا
+
+222
+00:18:47,100 --> 00:18:53,360
+مستوى السالب ميون كي في ال N ال N قدش قيمتها م جي
+
+223
+00:18:53,360 --> 00:18:58,590
+كسايني الزاوية إذا في ال Dمثلا بيساوي سالب ميو كة
+
+224
+00:18:58,590 --> 00:19:05,110
+في مج كساين الزاوية في ال D دي نص متر و ميو كة
+
+225
+00:19:05,110 --> 00:19:08,310
+اتنين من عشرة و ال M اعطانيها و ال G معروف 9.8
+
+226
+00:19:08,310 --> 00:19:13,490
+بيطلع قيمته بالسالب سالب واحد point خمس ال work
+
+227
+00:19:13,490 --> 00:19:20,370
+net الأهم مش ال work net ايش بده يساوي ال work من
+
+228
+00:19:20,370 --> 00:19:23,270
+ال F الأولى و ال work من ال F التانى كل القوة كم
+
+229
+00:19:23,270 --> 00:19:26,720
+قوة عند ال work من ال Fزاد ال work من ال gravity
+
+230
+00:19:26,720 --> 00:19:30,660
+زاد ال work من ال friction force زاد ال work من ال
+
+231
+00:19:30,660 --> 00:19:33,640
+normal force ال work من ال normal force بساوي أكم
+
+232
+00:19:33,640 --> 00:19:38,740
+مانساش بساوي Zero لأن ال normal force عمودي على
+
+233
+00:19:38,740 --> 00:19:41,080
+الإزاحة ال normal force هي الإزاحة وال normal
+
+234
+00:19:41,080 --> 00:19:46,110
+force عمودي عليهابجمعهم مع بعض انا حسبت ال work من
+
+235
+00:19:46,110 --> 00:19:49,510
+ال F طلعت عشرة ال work من ال gravity طلعت قيمتها
+
+236
+00:19:49,510 --> 00:19:52,850
+هي هنا موجودة عند قيمتها بالسالب كمان طلعت قيمتها
+
+237
+00:19:52,850 --> 00:19:55,710
+ال work من ال friction force طلعت سالب واحد و نص
+
+238
+00:19:55,710 --> 00:20:01,190
+جمعتهم مع بعض طلع ال work الكلي جداش قيمته اتنية و
+
+239
+00:20:01,190 --> 00:20:07,220
+نص شولالان الـ delta K ال work net اله قانون تاني
+
+240
+00:20:07,220 --> 00:20:12,180
+ال work net ايش بيساوي K final ناقص K initial هو
+
+241
+00:20:12,180 --> 00:20:17,560
+اعطاني K initial بقدر اطلع له K final و ال work
+
+242
+00:20:17,560 --> 00:20:21,840
+net حسبت و هاي ال work net و ال K initial اعطانيها
+
+243
+00:20:21,840 --> 00:20:25,260
+قيمتها جداش واحد و اتنين من عشر أجون ضال المجهول
+
+244
+00:20:25,260 --> 00:20:29,940
+عند ال K final لذا ال K final بيساوي ال work net
+
+245
+00:20:29,940 --> 00:20:36,440
+زائد ال K initialو ال word net هي قيمتها و ال k
+
+246
+00:20:36,440 --> 00:20:42,420
+initial 112 بطلع ال word اللي اسف ال k final ماشي
+
+247
+00:20:42,420 --> 00:20:47,260
+اعطيكوا العافية نحاول نكمل اخر محاضرة او اخر جزء
+
+248
+00:20:47,260 --> 00:20:47,880
+في هذا ال chapter
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/phZ24Un_ghE.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/phZ24Un_ghE.srt
new file mode 100644
index 0000000000000000000000000000000000000000..13f5523ace9f29bd760a6a26e9c4907ecc1a293a
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/phZ24Un_ghE.srt
@@ -0,0 +1,1310 @@
+1
+00:00:05,470 --> 00:00:08,190
+السلام عليكم، يعطيكم العافية. اليوم، إن شاء الله
+
+2
+00:00:08,190 --> 00:00:12,650
+بدنا نحاول نكمل في الشابتر الثالث. الشابتر الثالث كنا نتكلم
+
+3
+00:00:12,650 --> 00:00:18,870
+عن الحركة في مستوى plannar motion، لكن الآن مثال عليها.
+
+4
+00:00:18,870 --> 00:00:21,850
+المثال عليها، اللي هي projectile motion. أنا كنت
+
+5
+00:00:21,850 --> 00:00:26,790
+أتكلم أو آخذ اتجاهي الحركة في اتجاه الـ X والحركة
+
+6
+00:00:26,790 --> 00:00:32,410
+في اتجاه الـ Y. محور X ومحور Y، وجسم يتحرك في مستوى
+
+7
+00:00:32,410 --> 00:00:36,800
+من النقطة A للنقطة B. بيقول: إيه المراكبة في اتجاه الـ
+
+8
+00:00:36,800 --> 00:00:40,640
+X وليه المراكبة في اتجاه الـ Y؟ قوانين الحركة ليه
+
+9
+00:00:40,640 --> 00:00:49,780
+التسارع V بتساوي V₀ + A في T. لما بده الـ X، بدي
+
+10
+00:00:49,780 --> 00:00:55,160
+أحط Vₓ، V₀ₓ،  التسارع في اتجاه الـ X. لكن هذه
+
+11
+00:00:55,160 --> 00:00:59,420
+الـ T ثابته. لو بده المعادلة الثانية في الـ X، بقول X
+
+12
+00:00:59,420 --> 00:01:13,130
+بالساوية V₀ₓ في T + Aₓ T²/2. المعادلة الأخيرة Vₓ²
+
+13
+00:01:13,130 --> 00:01:26,110
+= V₀ₓ² + 2Aₓ (X - X₀).  طبعاً هي X - X₀، بعد X - X₀ بس
+
+14
+00:01:26,110 --> 00:01:30,310
+إذا كان بدأ من الـ origin، بقول X₀ = صفر.
+
+15
+00:01:30,310 --> 00:01:33,530
+هذا في اتجاه الـ X. في اتجاه الـ Y نفس المعادلات اللي
+
+16
+00:01:33,530 --> 00:01:40,960
+عندنا: Vᵧ = V₀ᵧ + Aᵧ في t. المعادلة
+
+17
+00:01:40,960 --> 00:01:46,600
+الثانية: Y - Y₀ = V₀ᵧ في t + ½ Aᵧ t².
+
+18
+00:01:46,600 --> 00:01:52,020
+المعادلة الثالثة اللي هي Vᵧ² = V₀ᵧ² + 2Aᵧ (Y - Y₀). طبعاً هذا
+
+19
+00:01:52,020 --> 00:01:59,700
+في الـ X direction.
+
+20
+00:01:59,700 --> 00:02:01,360
+الـ X direction.
+
+21
+00:02:04,690 --> 00:02:11,350
+وهنا الـ Y direction. طبعاً في الـ X direction، إذا الـ
+
+22
+00:02:11,350 --> 00:02:14,050
+acceleration، لو أنا قلت الـ acceleration قيمتها
+
+23
+00:02:14,050 --> 00:02:19,330
+بتساوي صفر في اتجاه الـ X، إيش معناتها؟ هنحط هنا Aₓ
+
+24
+00:02:19,330 --> 00:02:24,610
+بتساوي صفر. هذا الحد بيروح، هذا الحد بيروح، هذا الحد
+
+25
+00:02:24,610 --> 00:02:29,110
+بيروح. بيصير عندنا الـ Vₓ سرعة ابتدائية وسرعة نهائية
+
+26
+00:02:29,110 --> 00:02:33,630
+ثابتة. يعني سرعة في أي منطقة بتكون مالها؟ ثابتة. يعني
+
+27
+00:02:33,630 --> 00:02:36,390
+سرعة ثابتة، إذا الـ acceleration = صفر.
+
+28
+00:02:36,390 --> 00:02:40,250
+السرعة ثابتة، هذا الحد راح لأن الـ acceleration
+
+29
+00:02:40,250 --> 00:02:43,550
+بتساوي صفر. ما فيش تغير في السرعة. acceleration
+
+30
+00:02:43,550 --> 00:02:47,660
+بتساوي صفر. الـ X أو الـ displacement بتساوي
+
+31
+00:02:47,660 --> 00:02:51,240
+السرعة اللي هي قيمتها ثابتة في مين؟ في الزمن. هذا
+
+32
+00:02:51,240 --> 00:02:53,900
+الحد بيساوي صفر لأن الـ acceleration بيساوي صفر.
+
+33
+00:02:53,900 --> 00:02:57,720
+فبيصير في عندنا Vₓ² = V₀ₓ².
+
+34
+00:02:57,720 --> 00:03:00,780
+وهذا نفس المعادلة الأولى، بتبين أن السرعة مالها؟
+
+35
+00:03:00,780 --> 00:03:05,500
+ثابتة. معناه ذلك، إذا الـ acceleration كانت عندنا
+
+36
+00:03:05,500 --> 00:03:08,980
+بتساوي صفر، فش تغير في السرعة. أما إذا كانت الـ
+
+37
+00:03:08,980 --> 00:03:12,100
+acceleration لها قيمة، في عندنا تغير في مين؟ في
+
+38
+00:03:12,100 --> 00:03:16,080
+السرعة. نجي للمثال اللي أنا بأطبقه: projectile motion.
+
+39
+00:03:16,080 --> 00:03:21,600
+projectile motion، حركة المقذوفات. حركة المقذوفات هي
+
+40
+00:03:21,600 --> 00:03:25,720
+عبارة عن particle بتتحرك بمين؟  بالسرعة، الـ velocity
+
+41
+00:03:25,720 --> 00:03:29,680
+بس بتتحرك في two dimensions، في اتجاه الـ X واتجاه
+
+42
+00:03:29,680 --> 00:03:34,420
+الـ Y. بتتحرك في اتجاه الـ X واتجاه الـ Y بهذا الشكل.
+
+43
+00:03:34,420 --> 00:03:40,560
+هذه
+
+44
+00:03:40,560 --> 00:03:48,910
+حركة المحور X، و محور Y، اللي هو محور Y. أول
+
+45
+00:03:48,910 --> 00:03:52,490
+حاجة، بتتعرف على الـ acceleration. الـ acceleration
+
+46
+00:03:52,490 --> 00:03:55,870
+اللي بتأثر عليه هي acceleration of gravity، الـ
+
+47
+00:03:55,870 --> 00:03:59,410
+acceleration of gravity. اتجاهها لوين؟ إلى
+
+48
+00:03:59,410 --> 00:04:05,950
+أسفل. إذاً، الأول أنا قلت محور Y فيه acceleration Aᵧ
+
+49
+00:04:05,950 --> 00:04:13,330
+قد إيش هتساوي Aᵧ؟ هتساوي سالب g في مين؟ في اتجاه الـ
+
+50
+00:04:13,330 --> 00:04:18,510
+Y. إذاً الـ acceleration هنا بتبدأ تكون في اتجاه الـ Y
+
+51
+00:04:18,510 --> 00:04:21,950
+قيمتها بتساوي سالب g في إيه؟ في الـ direction
+
+52
+00:04:21,950 --> 00:04:26,770
+لمين؟ للـ Y. طيب، هل في عندي acceleration في اتجاه الـ
+
+53
+00:04:26,770 --> 00:04:32,890
+X؟ الـ acceleration في اتجاه الـ X بتساوي صفر. مش أي
+
+54
+00:04:32,890 --> 00:04:36,410
+قوة. لو قلنا إيش؟  نحمل كل شيء مثلاً، acceleration في
+
+55
+00:04:36,410 --> 00:04:39,710
+اتجاه الـ Y وفي اتجاه الـ X قيمتها صفر. إذاً، في عندنا
+
+56
+00:04:39,710 --> 00:04:43,330
+اندو acceleration، acceleration في اتجاه الـ Y و acceleration في
+
+57
+00:04:43,330 --> 00:04:48,260
+اتجاه الـ X. الـ acceleration في اتجاه الـ Y قيمتها بتساوي
+
+58
+00:04:48,260 --> 00:04:50,880
+سالب g. لكن الـ acceleration اللي في اتجاه الـ Y
+
+59
+00:04:50,880 --> 00:04:54,500
+قيمتها بتساوي صفر. لما أقول كمان مرة الـ
+
+60
+00:04:54,500 --> 00:04:57,600
+acceleration اللي في اتجاه الـ Y بتساوي صفر،
+
+61
+00:04:57,600 --> 00:05:02,440
+مباشرة بيجي على بالي أن السرعة في اتجاه الـ X ما لها
+
+62
+00:05:02,440 --> 00:05:07,260
+سرعة ثابتة. لكن الـ acceleration في اتجاه الـ Y
+
+63
+00:05:07,260 --> 00:05:13,770
+معناته السرعة مالها؟ متغيرة. ولاحظوا، سالب اتجاه الـ Y
+
+64
+00:05:13,770 --> 00:05:17,830
+هي عجلة الجاذبية الأرضية. حتشبه اللي أخذناه في
+
+65
+00:05:17,830 --> 00:05:22,190
+نهاية chapter 2، اللي هو الـ free falling. الـ
+
+66
+00:05:22,190 --> 00:05:25,330
+acceleration وين اتجاهها؟  لأسفل. إذا هذه الـ
+
+67
+00:05:25,330 --> 00:05:29,450
+projectile motion عبارة عن  حركتين دمجتهن مع بعض.
+
+68
+00:05:29,450 --> 00:05:33,980
+واحدة في اتجاه الـ X، جسم فيها بيتحرك بسرعة ثابتة.
+
+69
+00:05:33,980 --> 00:05:39,060
+واحدة في اتجاه الـ Y، جسم رميته لفوق، إيش رميته؟
+
+70
+00:05:39,060 --> 00:05:43,800
+vertically، وبعدين إيش؟ نزل. إذا، عبارة عن free falling
+
+71
+00:05:43,800 --> 00:05:48,720
+في اتجاه الـ Y. وعندنا حركة ثانية، اللي هي عبارة عن
+
+72
+00:05:48,720 --> 00:05:53,680
+constant، جسم بيتحرك بـ constant velocity. بدي اشتغل كل
+
+73
+00:05:53,680 --> 00:05:58,460
+محور لحاله. يعني الـ X direction لحالها، والـ Y
+
+74
+00:05:58,460 --> 00:06:02,000
+direction لحالها، وأشوف إيش المعادلات. كمان مرة، بقول
+
+75
+00:06:02,000 --> 00:06:05,900
+في اتجاه الـ projectile motion، Aₓ = صفر. بدي
+
+76
+00:06:05,900 --> 00:06:08,960
+اشتغل المعادلات الثلاث وأحط Aₓ = صفر.
+
+77
+00:06:08,960 --> 00:06:13,060
+إيش هيطلع عندنا؟ أول معادلة: Vₓ = V₀ₓ. إيش
+
+78
+00:06:13,060 --> 00:06:19,430
+معناتها؟ قلنا constant، constant velocity. المعادلة
+
+79
+00:06:19,430 --> 00:06:23,830
+الثانية: X = V₀ₓ في T. لأن هذا الحد ماله؟
+
+80
+00:06:23,830 --> 00:06:28,870
+راح. إيش هيصير عندنا؟ V₀ₓ سرعة ثابتة. الـ
+
+81
+00:06:28,870 --> 00:06:31,970
+displacement بيساوي السرعة في الزمن، في الـ time. آخر
+
+82
+00:06:31,970 --> 00:06:35,510
+معادلة، هذا الحد راح عندنا، فصار عندنا Vₓ²
+
+83
+00:06:35,510 --> 00:06:38,250
+= V₀ₓ². وهذا نفس المعادلة الأولى.
+
+84
+00:06:38,250 --> 00:06:41,210
+كأنه سرعة مالها؟ ثابتة. إذن، السرعة في اتجاه الـ X
+
+85
+00:06:41,210 --> 00:06:46,620
+مقدارها إيش؟ مقدارها ثابت. نشوف اتجاه الـ Y، إيش بدنا نحط؟
+
+86
+00:06:46,620 --> 00:06:52,540
+بدل الـ Aᵧ، بدل الـ Aᵧ، بدنا نحط إيش قيمتها؟ سالب g.
+
+87
+00:06:52,540 --> 00:06:56,820
+السالب إيش معناه؟ اتجاهها لوين؟ لأسفل.  إحنا قلنا أول
+
+88
+00:06:56,820 --> 00:07:01,180
+مرة، بننبه في الـ vector، دائماً الاتجاه، القيمة السالبة
+
+89
+00:07:01,180 --> 00:07:05,220
+أو الإشارة السالبة معناته اتجاهها لوين؟ لأسفل. إذن،
+
+90
+00:07:05,220 --> 00:07:11,060
+بدنا نعوض، نشيل هذا الحد عندنا، الـ Aᵧ، ونحط محله سالب
+
+91
+00:07:11,060 --> 00:07:14,720
+g، وهذا نشيل ونحط محله سالب g، وهذا نفس الشيء ونحط
+
+92
+00:07:14,720 --> 00:07:20,580
+سالب g. إيش هيصير عندنا؟ المعادلة الأولى: Vᵧ = V₀ᵧ
+
+93
+00:07:20,580 --> 00:07:27,080
+- g في t. المعادلة الثانية: Y - Y₀.  يكون الـ Y₀
+
+94
+00:07:27,080 --> 00:07:30,000
+كان شيء الـ origin اللي أنا بدي إياه، بيساوي
+
+95
+00:07:30,000 --> 00:07:34,940
+صفر. إذن، Y = V₀ᵧ في t - ½، بدل الـ Aᵧ
+
+96
+00:07:34,940 --> 00:07:39,560
+حطينا سالب g، صار عندنا - ½ g t². Vᵧ²
+
+97
+00:07:39,560 --> 00:07:43,340
+= V₀ᵧ² - 2gY. إذاً، في
+
+98
+00:07:43,340 --> 00:07:45,540
+عندنا معادلات لـ projectile motion الآن. في عندنا
+
+99
+00:07:45,540 --> 00:07:48,840
+حاجتين: في عندنا اتجاه الـ X، إلها، أو الـ horizontal
+
+100
+00:07:48,840 --> 00:07:54,780
+motion أو الـ X direction، اتجاه الـ X. وهذه الـ Y
+
+101
+00:07:58,560 --> 00:08:02,300
+معادلات الـ X-direction بهذا الشكل. لاحظوا، الأول
+
+102
+00:08:02,300 --> 00:08:05,940
+والأخير، ما تلزمناش لأن سرعة ثابتة. عند المعادلة
+
+103
+00:08:05,940 --> 00:08:08,500
+اللي في النص، اللي بتعبر عن علاقة بين الـ
+
+104
+00:08:08,500 --> 00:08:12,300
+displacement والـ velocity. لكن هنا بلزمنا الثلاث
+
+105
+00:08:12,300 --> 00:08:16,420
+معادلات نشتغل عليهم. إذاً، أول ما يقول في projectile
+
+106
+00:08:16,420 --> 00:08:19,820
+motion، في عندنا كم من معادلة؟ في عندنا أربع معادلات.
+
+107
+00:08:19,820 --> 00:08:23,200
+واحدة في اتجاه الـ X، اللي هو بيعبر عن displacement و
+
+108
+00:08:23,200 --> 00:08:28,820
+الثلاث معادلات اللي إحنا عارفينهن، اللي فيهن خمس مجاهيل
+
+109
+00:08:28,820 --> 00:08:32,280
+أو خمس قيم، اللي هي السرعة الابتدائية، السرعة
+
+110
+00:08:32,280 --> 00:08:36,310
+النهائية، الـ acceleration، الزمن، والـ displacement. لأ
+
+111
+00:08:36,310 --> 00:08:39,350
+لو أنا استخدمت المعادلات اللي موجودة عندي، معادلة الـ
+
+112
+00:08:39,350 --> 00:08:44,410
+X مع معادلة الـ Y، وعوضتهن مع بعض، حاجة عندي بتطلع
+
+113
+00:08:44,410 --> 00:08:50,170
+لو عوضت معادلة الـ X، اللي هي الـ X equation، مع الـ T
+
+114
+00:08:50,170 --> 00:08:53,630
+مع
+
+115
+00:08:53,630 --> 00:08:59,090
+المعادلة اللي في اتجاه الـ Y، بحصل على equation لـ
+
+116
+00:08:59,090 --> 00:09:08,440
+parabola، اللي هي Y = V₀ tan θ في X - g على 2 V₀² cos² θ X²
+
+117
+00:09:08,440 --> 00:09:13,540
+. إذاً، المسار اللي حيمشي فيه هذا الجسم هو مسار
+
+118
+00:09:13,540 --> 00:09:18,500
+مالها؟ parabola.
+
+119
+00:09:18,500 --> 00:09:19,960
+بارابولا.
+
+120
+00:09:28,490 --> 00:09:33,970
+السرعة الابتدائية اللي
+
+121
+00:09:33,970 --> 00:09:39,410
+أنا رميت فيها الجسم V₀، وبتعمل زاوية مقدارها مالها؟
+
+122
+00:09:39,410 --> 00:09:43,290
+θ. لو أنا رميت الزاوية مقدارها صفر، الضرب مش زي
+
+123
+00:09:43,290 --> 00:09:47,010
+هيك، بتعدل، وبعدين بتنزل. لكن أنا الآن، بدي أرمي بزاوية
+
+124
+00:09:47,010 --> 00:09:51,920
+مقدارها θ. السرعة متجهة، إذا أنا بمركب في
+
+125
+00:09:51,920 --> 00:09:56,000
+اتجاه الـ X وبمركب في اتجاه الـ Y. إذا، بقدر أقول هنا
+
+126
+00:09:56,000 --> 00:10:06,880
+في عندنا V₀ₓ، V سرعة ابتدائية في اتجاه محور X.
+
+127
+00:10:06,880 --> 00:10:17,020
+هنا بنفس الكيفية، في عندنا V₀ᵧ، V سرعة ابتدائية
+
+128
+00:10:17,020 --> 00:10:21,940
+في اتجاه محور Y. لاحظوا، إنه الآن كأنه في
+
+129
+00:10:21,940 --> 00:10:26,960
+عندنا جسم، الجسم رميته في اتجاه الـ X، رميته في اتجاه من
+
+130
+00:10:26,960 --> 00:10:32,100
+الـ Y. هنا لما رميته في اتجاه الـ Y، بيطلع، إيش بيطلع؟
+
+131
+00:10:32,100 --> 00:10:36,280
+بيرجع بينزل. اتجاه الـ X كأنه بيحركه في اتجاه الـ X،
+
+132
+00:10:36,280 --> 00:10:41,330
+فبيصير شكلها شكل parabola بهذا الشكل. طيب، في أي منطقة
+
+133
+00:10:41,330 --> 00:10:44,910
+موجودة عندنا، المنطقة هذه مثلاً، النقطة الثانية، في
+
+134
+00:10:44,910 --> 00:10:51,790
+عندنا سرعة في اتجاه الـ X وسرعة في اتجاه الـ Y، Vₓ و
+
+135
+00:10:51,790 --> 00:10:58,770
+Vᵧ. طيب، السؤال اللي بيتطرح نفسه: إيش الفرق بين V₀ₓ و Vₓ؟
+
+136
+00:10:58,770 --> 00:11:06,450
+V₀ₓ و Vₓ ما هما متساويات، إثنتين إيش؟ نفس القيمة. طيب،
+
+137
+00:11:06,450 --> 00:11:12,450
+لو جيت للنقطة اللي على بالها تماماً، هنا، اتجاه السرعة
+
+138
+00:11:12,450 --> 00:11:16,230
+هنا دائماً موازٍ، مماس لمين؟
+
+139
+00:11:19,250 --> 00:11:24,410
+للمسار، إذن هي مماس للمنحنى. هنا حيكون عندنا مماس
+
+140
+00:11:24,410 --> 00:11:33,900
+للمنحنى. في مركبة Vₓ و Vᵧ. الإثنتين النقطتين متشابهة
+
+141
+00:11:33,900 --> 00:11:39,200
+على بال بعض تماماً. الاختلاف الوحيد اللي بينهم: Vₓ نفس
+
+142
+00:11:39,200 --> 00:11:43,940
+الـ Vₓ، لكن الـ Vᵧ اتجاه الأعلى. الـ Vᵧ هنا اتجاه
+
+143
+00:11:43,940 --> 00:11:48,180
+الأسفل. الـ Vᵧ هذه قيمتها، لو أنا حسبتها بالموجب، لو
+
+144
+00:11:48,180 --> 00:11:52,080
+أنا حسبتها، هذه حتطلع معي إيش؟ بالسالب تماماً. تطلع
+
+145
+00:11:52,080 --> 00:11:58,350
+هنا Vᵧ لأعلى، وهنا Vᵧ لمن؟ لأسفل. أخذناها في
+
+146
+00:11:58,350 --> 00:12:02,590
+نهاية chapter 2. الإثنتين مالهم؟ متساويات، بس واحد
+
+147
+00:12:02,590 --> 00:12:05,550
+اتجاه الأعلى، معناته موجب لأن اتجاه الأعلى هو
+
+148
+00:12:05,550 --> 00:12:10,490
+الموجب. الاتجاه الأعلى هو الموجب، والاتجاه الأسفل هو
+
+149
+00:12:10,490 --> 00:12:16,510
+السالب. اليمين هو الموجب، اليسار هو السالب. الآن، لو
+
+150
+00:12:16,510 --> 00:12:22,510
+جيت للنقطة هذه، النقطة اللي هنا، هذه النقطة بتعبر عن
+
+151
+00:12:22,510 --> 00:12:29,270
+مين؟ عن أقصى ارتفاع، بسميها H max، أقصى ارتفاع.
+
+152
+00:12:29,270 --> 00:12:35,490
+عندها إيش بيكون فيه؟ بيكون في السرعة هنا اتجاهها
+
+153
+00:12:35,490 --> 00:12:42,030
+فقط في اتجاه مين؟ هل في سرعة عندك في اتجاه الـ Y؟
+
+154
+00:12:42,030 --> 00:12:47,270
+السرعة في اتجاه الـ Y قيمتها كم؟ صفر. كأن الحركة
+
+155
+00:12:47,270 --> 00:12:51,910
+فقط، أو السرعة عند هذه النقطة اتجاهها في اتجاه الـ X.
+
+156
+00:12:53,060 --> 00:12:56,960
+كأنها وصلت لأقصى ارتفاع. أقصى ارتفاع، إذن،
+
+157
+00:12:56,960 --> 00:13:03,600
+Vᵧ = كم؟ صفر. عند أقصى ارتفاع، Vᵧ = صفر.
+
+158
+00:13:03,600 --> 00:13:07,880
+الآن، أنا بمعرفتي، ممكن ألخص الكلام اللي أنا قلته
+
+159
+00:13:07,880 --> 00:13:13,240
+على هذا المنحنى، على هذا المنحنى اللي موجود عندنا هنا.
+
+160
+00:13:13,240 --> 00:13:16,840
+أول حاجة، الـ acceleration في اتجاه الـ X بتساوي
+
+161
+00:13:16,840 --> 00:13:20,820
+صفر. الـ acceleration في اتجاه الـ Y هي سالب g،
+
+162
+00:13:20,820 --> 00:13:25,160
+واتجاهها في اتجاه الـ Y. عندنا سرعة ابتدائية،
+
+163
+00:13:25,160 --> 00:13:28,780
+سرعة ابتدائية بتعمل زاوية مقدارها θ، من خلال
+
+164
+00:13:28,780 --> 00:13:33,000
+الزاوية θ، بأخذ المتجهات وبحللها لإتجاه
+
+165
+00:13:33,000 --> 00:13:38,270
+عندنا في اتجاه الـ X: V₀ₓ، وهنا V₀ᵧ، في اتجاه الـ Y. عند
+
+166
+00:13:38,270 --> 00:13:42,190
+أقصى ارتفاع، أقصى ارتفاع
+
+223
+00:19:04,050 --> 00:19:06,350
+الكلام اللي قلناه، الـ example بيقول فين الـ
+
+224
+00:19:06,350 --> 00:19:12,010
+projectile انطلق من point A، من الـ origin، و with
+
+225
+00:19:12,010 --> 00:19:18,250
+initial speed V0، عنده بتعمل زاوية قيمتها اللي هي
+
+226
+00:19:18,250 --> 00:19:20,550
+كمان واضحة في الشكل، نشوف الشكل اللي موجود عندنا
+
+227
+00:19:20,550 --> 00:19:28,570
+هنا زاوية 60°، و هذا السؤال نفسه، هذه الزاوية من
+
+228
+00:19:28,570 --> 00:19:39,160
+الـ origin قيمتها 60°، و بسرعة ابتدائية قيمتها V0، لأ
+
+229
+00:19:39,160 --> 00:19:46,160
+لأ عيد عيد من، و أجيب 26 سراحة أنا اشطفه اشطفه بس، و
+
+230
+00:19:46,160 --> 00:19:52,220
+أنا مثال بعدين عند
+
+231
+00:19:52,220 --> 00:19:53,900
+الـ exam، نبدأ ابدأ
+
+232
+00:19:56,660 --> 00:20:02,000
+تطبيق على الكلام اللي احنا قلناه، حركة المقذوفات
+
+233
+00:20:02,000 --> 00:20:06,300
+بتمثل بهذا الشكل اللي قبل، اللي شوفناه الآن، هذا
+
+234
+00:20:06,300 --> 00:20:12,380
+الشكل لحركة الـ projectile، بتبدأ من الـ origin، من الـ
+
+235
+00:20:12,380 --> 00:20:18,600
+origin، وبتمشي لما تصل لـ y بالساوية zero، لما تصل
+
+236
+00:20:18,600 --> 00:20:24,220
+لنفس الـ range، بدي احسب الـ h maximum، وبيحسب قيمة الـ
+
+237
+00:20:24,220 --> 00:20:32,100
+range، أول حاجة، ايش المعطيات اللي عندي، find او
+
+238
+00:20:32,100 --> 00:20:38,560
+المطلوب من، find maximum height، h maximum، ومطلوب
+
+239
+00:20:38,560 --> 00:20:42,140
+عندي احسب الـ range، الـ horizontal range اللي هو a
+
+240
+00:20:42,140 --> 00:20:45,320
+حركة
+
+241
+00:20:45,320 --> 00:20:48,920
+المقذوفات، بهذا الشكل كمان، ما نرسمها، ممكن تكون
+
+242
+00:20:48,920 --> 00:20:49,660
+أوضح هنا
+
+243
+00:20:52,360 --> 00:20:57,900
+عندي محورين، محور Y، كمان مرة بقول، ومحور X، عشان
+
+244
+00:20:57,900 --> 00:21:02,020
+ما أنسى، دايما أنه في عندي الـ acceleration اللي في
+
+245
+00:21:02,020 --> 00:21:07,020
+اتجاه الـ X بتساوي Zero، لكن الـ acceleration اللي في
+
+246
+00:21:07,020 --> 00:21:13,340
+اتجاه الـ Y، Ay، هي سالب G، وبستخدم معادلات اللي عوضت
+
+247
+00:21:13,340 --> 00:21:19,260
+عنها، بسالجي، سرعة ابتدائية هنا، initial velocity V0،
+
+248
+00:21:19,260 --> 00:21:25,650
+وزاوية مقدرها θ، مباشرة بقى يا جماعة، اقول في عندنا
+
+249
+00:21:25,650 --> 00:21:34,190
+V0X، V0X
+
+250
+00:21:34,190 --> 00:21:40,650
+بتساوي V0 Cos، زاوية، متجة، محللة في مركبة سينية،
+
+251
+00:21:40,650 --> 00:21:51,940
+ومركبة صادية، V0Y، بتساوي V0 Sin θ، طلب عند أقصى
+
+252
+00:21:51,940 --> 00:21:59,120
+ارتفاع، هي أقصى ارتفاع، هذا هو الـ H maximum، إيش عند
+
+253
+00:21:59,120 --> 00:22:02,760
+نقطة، يعني بيلزم الـ initial point، و الـ final point،
+
+254
+00:22:02,760 --> 00:22:10,960
+الـ final point، عند H maximum، في VY بتساوي 0، لكن في
+
+255
+00:22:10,960 --> 00:22:16,200
+VX، قيمتها مالها، قيمتها ثابتة، طب لو سألت سؤال، الـ
+
+256
+00:22:16,200 --> 00:22:18,920
+acceleration، عند أقصى ارتفاع، جداش قيمتها،
+
+257
+00:22:20,000 --> 00:22:22,940
+الـ acceleration، عند أقصى ارتفاع، الـ acceleration، عند
+
+258
+00:22:22,940 --> 00:22:27,900
+أقصى ارتفاع، دائما قيمتها، يا ثابتة، قيمتها جداش،
+
+259
+00:22:27,900 --> 00:22:31,420
+اللي هي acceleration of gravity، اللي هي تسعة point
+
+260
+00:22:31,420 --> 00:22:34,900
+ثمانية، يعني لو قلنا الـ acceleration، اجاكس الوقت،
+
+261
+00:22:34,900 --> 00:22:38,480
+الـ acceleration، عند أقصى ارتفاع، الـ acceleration y،
+
+262
+00:22:38,480 --> 00:22:42,060
+بالساوية zero، الـ acceleration y، بالساوية سالب،
+
+263
+00:22:42,060 --> 00:22:48,540
+دائما قيمتها، يا نفس القيمة، طب هي من هذه المعطيات،
+
+264
+00:22:48,540 --> 00:22:54,100
+إذا، أول حاجة، حللت V0 X، وجبت قيمتها V0 Cos الزاوية،
+
+265
+00:22:54,100 --> 00:22:59,380
+وجبت V0 Y، وجبت قيمتها V0 Sin الزاوية، ليش أنا جبت
+
+266
+00:22:59,380 --> 00:23:02,180
+اتجاه الـ X؟ بدي اشتغل في اتجاه الـ X لحاله، واتجاه الـ Y
+
+267
+00:23:02,180 --> 00:23:07,680
+لحاله، نيجي لما احسب اقصر تفعيل، نرجع للمعادلات
+
+268
+00:23:07,680 --> 00:23:11,460
+التلاتة اللي موجودة عندنا، مين فيها الـ Y يا
+
+269
+00:23:11,460 --> 00:23:13,040
+المعادلة الثانية
+
+270
+00:23:17,100 --> 00:23:21,820
+هي المعادلة الثالثة، نجي للمعادلة الثانية هنا، و
+
+271
+00:23:21,820 --> 00:23:27,940
+أستخدمها، الـ معادلة
+
+272
+00:23:27,940 --> 00:23:31,880
+الثالثة، آسف، المعادلة الثالثة، و أستخدمها، vy2 بيساوي
+
+273
+00:23:31,880 --> 00:23:38,400
+v not y2، minus 2 g في الـ y، الآن vy، قلنا الـ vy قداش
+
+274
+00:23:38,400 --> 00:23:45,560
+قيمتها، vy بيساوي zero، لذا الـ vy راحت، V0Y، V0Y هي
+
+275
+00:23:45,560 --> 00:23:51,620
+عبارة عن V0 Sine Theta، V0 Sine Theta Square، لأن
+
+276
+00:23:51,620 --> 00:23:57,200
+V0Y Square، Minus 2G في الـ H، في الـ H اللي أنا بدور
+
+277
+00:23:57,200 --> 00:24:02,940
+عليها، اللي هي الـ H maximum، منها مباشرة بننجل هذا
+
+278
+00:24:02,940 --> 00:24:06,920
+على الطرف الثاني، و بجسم على 2G، بطلع الـ H maximum
+
+279
+00:24:06,920 --> 00:24:11,840
+قيمتها V0 Square Sine Square Theta على 2G، حسبت
+
+280
+00:24:11,840 --> 00:24:16,900
+الـ H maximum، الآن بدي احسب الـ range، الـ range عبارة
+
+281
+00:24:16,900 --> 00:24:20,600
+عن محور مين؟ محور X، كان من المعادلة في محور X
+
+282
+00:24:20,600 --> 00:24:26,180
+مباشرة بتيجي على باله، X بالساوية V0 X في H في T، و
+
+283
+00:24:26,180 --> 00:24:32,740
+X بالساوية V0 X، صارت معروفة، عند V0 Cos θ في T، ايش
+
+284
+00:24:32,740 --> 00:24:37,040
+بيضل أحدد قيمة الـ T؟ من وين بيحدد قيمة الـ T؟ من
+
+285
+00:24:37,040 --> 00:24:41,980
+محور Y، المحور Y، هي المعادلة اللي فيها T، هي
+
+286
+00:24:41,980 --> 00:24:45,640
+المعادلة الأولى، هي المعادلة الثانية، المعادلة
+
+287
+00:24:45,640 --> 00:24:51,100
+الثانية، Y بالساوية V not Y في T، إذا باجي للمعادلة
+
+288
+00:24:51,100 --> 00:24:55,720
+الثانية، Y بالساوية V not Y في T، وبطلع منها T،
+
+289
+00:24:55,720 --> 00:25:02,100
+وبعوضه هنا في هذه المعادلة، إذا حيصير عنده Y بيساوي
+
+290
+00:25:02,100 --> 00:25:08,140
+V Not Y في T، ماينوس نص GTT Square، و Y قيمتها Zero،
+
+291
+00:25:08,140 --> 00:25:13,280
+لأنه بيتكلم على الـ range، الآن الـ range، هي Y
+
+292
+00:25:13,280 --> 00:25:19,080
+بتساوي Zero، Y بتساوي Zero، مافيش إزاحة في اتجاه الـ
+
+293
+00:25:19,080 --> 00:25:25,000
+Y، من الـ origin، ورجع لمين، لنفس المستوى اللي موجود
+
+294
+00:25:25,000 --> 00:25:28,960
+عليه، إذا اللي إزاحة في اتجاه الـ Y قيمتها 0، V0Y، بأعوض
+
+295
+00:25:28,960 --> 00:25:35,920
+عنها، V0 Sine Theta في T، minus نص G T تربيع، بأجسم
+
+296
+00:25:35,920 --> 00:25:41,860
+على الـ T، على الـ T، على الـ T، بطلع عنده Zero بالساوية
+
+297
+00:25:41,860 --> 00:25:47,520
+V0 Sine Theta، minus نص G T، تروح الـ T الـ square، و
+
+298
+00:25:47,520 --> 00:25:53,020
+منها، بأنجل هذا على الطرف الثاني، و بطلع قيمة، قيمة
+
+299
+00:25:53,020 --> 00:26:01,170
+اللي هو الزمن، هذا الزمن، لكل المرحلة من بدايتها لين
+
+300
+00:26:01,170 --> 00:26:07,090
+لنهايتها، لأن رجع، صار الزمن معروف عندي، بقى أشيل هذا
+
+301
+00:26:07,090 --> 00:26:13,170
+الـ T، و بحط محله القيمة اللي طلعت معايا، لـ 2 V0 sin
+
+302
+00:26:13,170 --> 00:26:26,880
+θ على G، بيصير الـ range قيمته 2 V0، و V0، V0² سين ثيتا
+
+303
+00:26:26,880 --> 00:26:32,640
+و كوسين ثيتا على G، طبعا معروف أنه اتنين سين ثيتا
+
+304
+00:26:32,640 --> 00:26:40,340
+كوسين ثيتا، هي تمثل سين 2ثيتا، بشيلها، و بأعوض
+
+305
+00:26:40,340 --> 00:26:46,380
+عنها بسين 2ثيتا، بطلع الـ range قيمته V not
+
+306
+00:26:46,380 --> 00:26:53,320
+square، سين 2ثيتا على G، نجي الآن ناخد لنا مثال
+
+307
+00:26:53,320 --> 00:26:59,750
+بالأرقام، أحنا أخدنا مثال بصورة رموز، لكن لو أنا
+
+308
+00:26:59,750 --> 00:27:02,910
+اخترت القيام، كنت لاجي الصورة، على ابتدائي عشرة، زوى
+
+309
+00:27:02,910 --> 00:27:10,890
+ستين، أقصرت، في جداش قيمته، انطلق من منطقة، من بنية، من
+
+310
+00:27:10,890 --> 00:27:15,490
+الأرض، من Y بيستوي Zero، و بدأ، ابدأ اشتغل، و أحدد قيام
+
+311
+00:27:15,490 --> 00:27:20,510
+المثال
+
+312
+00:27:20,510 --> 00:27:24,770
+موجود عندي، بيقول، في عندي projectile، أي كان هذه
+
+313
+00:27:24,770 --> 00:27:33,610
+كرة، رميتها بزاوية من
+
+314
+00:27:33,610 --> 00:27:39,610
+top of building، ارتفاعه جداش، تلاتين متر، ارتفاع الـ
+
+315
+00:27:39,610 --> 00:27:41,150
+building، كان تلاتين متر،
+
+316
+00:27:43,810 --> 00:27:48,530
+إذا أنا رميتها upward، بسرعة قيمتها خمسة و عشرين،
+
+317
+00:27:48,530 --> 00:27:53,050
+speed، خمسة و عشرين meter per second، و بتعمل زاوية
+
+318
+00:27:53,050 --> 00:27:57,530
+قيمتها سبعة و تلاتين، هي للتوضيح، سبعة و تلاتين درجة،
+
+319
+00:27:57,530 --> 00:28:00,550
+بدي
+
+320
+00:28:00,550 --> 00:28:06,610
+أحسب، what is the time of flight، زمان الطيران، لما
+
+321
+00:28:06,610 --> 00:28:16,780
+تصل وين، تصل الأرض، طلعت زي هيك، و نزلت للأرض، بدي
+
+322
+00:28:16,780 --> 00:28:21,220
+أحسب الزمان، المطلوب الثاني، نشوفه بعد ما نخلص
+
+323
+00:28:21,220 --> 00:28:24,700
+المطلوب الأول، ايش بدي أحسب الزمان، أول حاجة السرعة
+
+324
+00:28:24,700 --> 00:28:28,220
+خمسة و عشرين، هيها، هي المحاور اللي بدي أخدها من
+
+325
+00:28:28,220 --> 00:28:34,260
+البناية، هي البناية، هي محور X، وهي محور Y، و أنا
+
+326
+00:28:34,260 --> 00:28:40,420
+رميتها بزاوية زي هيك، هذه السرعة V0، بتساوي خمسة و
+
+327
+00:28:40,420 --> 00:28:44,580
+عشرين متر per second، هذه الزاوية عندها قيمتها سبعة
+
+328
+00:28:44,580 --> 00:28:50,840
+و تلاتين درجة، قلت محور X، ومحور Y، هتقول هنا نفس
+
+329
+00:28:50,840 --> 00:28:57,740
+الكلام، V0 X بتساوي V0 Cos الزاوية ثيتا، و هي خمسة و
+
+330
+00:28:57,740 --> 00:29:03,750
+عشرين Cos السبعة و تلاتين، V not X صارت معروفة
+
+331
+00:29:03,750 --> 00:29:10,790
+قيمتها، V not Y، هتقول هنا V not Y بتساوي V not sin
+
+332
+00:29:10,790 --> 00:29:19,850
+θ، V not sin 37، طبعا لما تيجي تحسبها هنا، هتطلع
+
+333
+00:29:19,850 --> 00:29:26,560
+تقريبا عشرين متر/ثانية، لما تحسبها هنا، هتطلع عندك
+
+334
+00:29:26,560 --> 00:29:30,640
+تقريبا 15 متر/ثانية، إذا صار عندي الـ V not X
+
+335
+00:29:30,640 --> 00:29:36,400
+معروفة قيمتها 20، V not Y قيمتها صارت معروفة 15 متر
+
+336
+00:29:36,400 --> 00:29:41,360
+/ثانية، متر/ثانية، هاي أول معطى، ما أنسى أن
+
+337
+00:29:41,360 --> 00:29:45,580
+الـ acceleration في اتجاه الـ X، مش هم تنسى الـ Ax،
+
+338
+00:29:45,580 --> 00:29:48,980
+دايما بالساوية Zero، الـ acceleration في اتجاه الـ Y،
+
+339
+00:29:48,980 --> 00:29:54,260
+اللي هو acceleration of gravity، الآن بدي أحسب الزمن
+
+340
+00:29:54,260 --> 00:30:01,180
+الـ Y، عندي هنا، الـ Y بتساوي Zero، فبأخذها موجبة، بتحتيها
+
+341
+00:30:01,180 --> 00:30:06,500
+بالموجب، اذا الـ Y هنا جداش، ارتفاع البناية تلاتين،
+
+342
+00:30:06,500 --> 00:30:10,960
+أخذها بالموجب، لا قبلها بالسالب، هاخدها سالب تلاتين،
+
+343
+00:30:10,960 --> 00:30:16,000
+لأن إزاحة اتجاهها لوين، للاسفل، السالب، هذا إزاحة،
+
+344
+00:30:16,000 --> 00:30:21,420
+اتجاهها لوين، للاسفل، سالب تلاتين متر، الآن لما نيجي
+
+345
+00:30:21,420 --> 00:30:26,460
+نعوض، يمكن صارت معطيات عندي واضحة، كثيرة جدا، ممكن
+
+346
+00:30:26,460 --> 00:30:30,800
+أستفيد منها، وأطلع الحاجات المجهولة، بتطلع الزمن عندي،
+
+347
+00:30:30,800 --> 00:30:36,100
+معطى Y، وعند V0Y، وعند الـ acceleration في اتجاه Y،
+
+348
+00:30:36,100 --> 00:30:40,340
+وإذا ذكرنا، قلنا، إذا عرفت تلات أشياء، بقدر أجيب
+
+349
+00:30:40,340 --> 00:30:46,950
+الحاجات المتبقية، إذا لو جيت للمعادلة تبعتي الـ Y، Y
+
+350
+00:30:46,950 --> 00:30:53,890
+بالساوي V not Y في T، minus نص جيت تربيع، Y قيمتها
+
+351
+00:30:53,890 --> 00:31:04,270
+minus، وقلنا minus، ليش؟ لأن هو إزاحة جاها لوين أو
+
+352
+00:31:04,270 --> 00:31:09,550
+الإزاحة لوين كانت للاسفل، minus تلاتين، بتساوي V not
+
+353
+00:31:09,550 --> 00:31:11,090
+Y، ما طلعنا الـ V not Y،
+
+354
+00:31:36,360 --> 00:31:39,200
+طبعا ممكن يطلع حلين عندي لما أحلها في المعادلة
+
+355
+00:31:39,200 --> 00:31:41,440
+التربيعية، طبعا الـ time دايما ماله
+
+356
+00:31:44,150 --> 00:31:51,070
+الـ negative، طبعا بأهمله، لأن مافيش حالة بالـ negative لزمان
+
+357
+00:31:51,070 --> 00:31:56,290
+بالـ negative، الآن المطلوب الثاني، المطلوب الثاني بدي
+
+358
+00:31:56,290 --> 00:32:02,170
+ايش أحسب، وين بتقع من البناية، من الـ ground، وبعدين
+
+359
+00:32:02,170 --> 00:32:06,730
+المطلوب الثالث، بدي أحسب الـ speed اللي وصلت فيه
+
+360
+00:32:06,730 --> 00:32:11,510
+الأرض، قبل ما تصل للأرض مباشرة، جداش، جانب السبيل،
+
+361
+00:32:11,510 --> 00:32:15,830
+إذا في عندي مطلوبين، المطلوب الثاني اللي هو الـ X،
+
+362
+00:32:15,830 --> 00:32:20,350
+معادلة الـ X، X، مش هتلاقي معادلة واحدة في اتجاه الـ X،
+
+363
+00:32:20,350 --> 00:32:26,310
+اللي هي V not X في T، طلعتها من، حسبت الزمن، وعند الـ
+
+364
+00:32:26,310 --> 00:32:30,790
+V0x، هي قيمتها، الـ V0x من البداية معطى، في الزمن اللي
+
+365
+00:32:30,790 --> 00:32:35,470
+طلع معايا، بطلع عندي جداش قيمتها 88 متر، يعني من هنا
+
+366
+00:32:35,470 --> 00:32:43,910
+لهنا، هتكون 88.8 متر، المطلوب الأخير، بدي الـ final
+
+367
+00:32:43,910 --> 00:32:53,210
+speed، لاحظوا طلب speed، لذا بدي Vx و Vy،
+
+368
+00:32:54,040 --> 00:33:02,740
+وأجيب الـ magnitude للتانين، جذر Vx² زائد Vy²، Vx هل
+
+369
+00:33:02,740 --> 00:33:09,060
+بتتغير، Vx قيمتها مالها، ثابتة، إذا بتساوي قداش، طلعت
+
+370
+00:33:09,060 --> 00:33:13,780
+عندنا 20 متر/ثانية، مين بيضل أحسبها، أحسب الـ Vy،
+
+371
+00:33:13,780 --> 00:33:18,520
+من المعادلة اللي، تكون المعادلة الأولى، بطلع الـ Vy،
+
+372
+00:33:18,520 --> 00:33:23,710
+الـ Vy بيساوي V not Y، ناقص G في T، Vy بيساوي، v0y معروفة
+
+373
+00:33:23,710 --> 00:33:27,030
+قيمتها، ناقص جي 9.8 في الـ T اللي أنا حسبته من
+
+374
+00:33:27,030 --> 00:33:33,230
+البداية، بطلع إشارة، بطلع قيمتها minus 28.5، إشارة الـ
+
+375
+00:33:33,230 --> 00:33:38,250
+minus، كمان اتجاه ايش، معناتها اتجاهها للاسفل، ده لذن
+
+376
+00:33:38,250 --> 00:33:44,710
+هي اتجاهها للاسفل، حسبت الـ Vx و Vy، إذا السرعة كـ
+
+377
+00:33:44,710 --> 00:33:48,450
+Velocity، مدة المركبة السينية، والمركبة الصادية،
+
+378
+00:33:48,450 --> 00:33:52,910
+الـ مركبة السينية هل بتتغير، قيمتها ثابتة، الـ مركبة
+
+379
+00:33:52,910 --> 00:33:59,390
+الصادية، طلعت عندي 28.5، لا، لو حسبت الـ speed اللي هو
+
+380
+00:33:59,390 --> 00:34:02,950
+عبارة عن جذر المركبة السينية تربيع، زائد المركبة
+
+381
+00:34:02,950 --> 00:34:11,070
+الصادية تربيع، وبطلع قيمتها، هكذا بنكون أنهينا المثال،
+
+382
+00:34:11,070 --> 00:34:16,390
+اللي هو تلاتة، تلاتة، آخر مثال نأخذه اللي هو تلاتة
+
+383
+00:34:16,390 --> 00:34:24,310
+point، أربعة، حتى ننهي هذا الموضوع، في عندي كرة رميتها،
+
+384
+00:34:24,310 --> 00:34
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/phZ24Un_ghE_postprocess.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/phZ24Un_ghE_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..02892c94769a543493f598e466044220c270511c
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/phZ24Un_ghE_postprocess.srt
@@ -0,0 +1,1740 @@
+1
+00:00:05,470 --> 00:00:08,190
+السلام عليكم يعطيكوا العافية اليوم ان شاء الله
+
+2
+00:00:08,190 --> 00:00:12,650
+بدنا نحاول نكمل في شبتر تلاتة شبتر تلاتة كنا نتكلم
+
+3
+00:00:12,650 --> 00:00:18,870
+عن حركة في مستوى planar motion لكن الان مثال عليها
+
+4
+00:00:18,870 --> 00:00:21,850
+المثال عليها اللي هي projectile motion انا كنت
+
+5
+00:00:21,850 --> 00:00:26,790
+اتكلم او اخد اتجاهي الحركة في اتجاه ال X و الحركة
+
+6
+00:00:26,790 --> 00:00:32,410
+في اتجاه ال Y محور X و محور Y وجسم يتحرك في مستوى
+
+7
+00:00:32,410 --> 00:00:36,800
+من النقطة A لنقطة بيقولت إيه المراكبة في اتجاه ال
+
+8
+00:00:36,800 --> 00:00:40,640
+X وليه المراكبة في اتجاه ال Y قوانين الحركة ليه
+
+9
+00:00:40,640 --> 00:00:49,780
+التدطير V بتساوي V0 زائد A في T لما بده ال X بدي
+
+10
+00:00:49,780 --> 00:00:55,160
+أحط VX V0X ال acceleration في اتجاه ال X لكن هذه
+
+11
+00:00:55,160 --> 00:00:59,420
+ال T اسكلة لو بده المعادلة التانية في ال X بقول X
+
+12
+00:00:59,420 --> 00:01:13,130
+بالساوية V0X في Tplus AX T2 المعادلة الأخيرة VX2
+
+13
+00:01:13,130 --> 00:01:26,110
+V0 X2 plus 2AX طبعا هي X ناقص X0 بعد X ناقص X0 بس
+
+14
+00:01:26,110 --> 00:01:30,310
+إذا كان بدأ من ال origin بدأ يقول X0 بالساوية Zero
+
+15
+00:01:30,310 --> 00:01:33,530
+هذا في اتجاه ال X في اتجاه ال Y نفس المعادلات اللي
+
+16
+00:01:33,530 --> 00:01:40,960
+عندهv y بتساوي v not y plus a y في t المعادلة
+
+17
+00:01:40,960 --> 00:01:46,600
+التانية y ناقص y not بتساوي v not y في t plus نص a
+
+18
+00:01:46,600 --> 00:01:52,020
+y t المعادلة التالتة اللي هي v y square بتساوي v
+
+19
+00:01:52,020 --> 00:01:59,700
+not y square plus two a y y minus y not طبعا هذا
+
+20
+00:01:59,700 --> 00:02:01,360
+ال x direction
+
+21
+00:02:04,690 --> 00:02:11,350
+وهنا ال Y Direction طبعا في ال X Direction إذا ال
+
+22
+00:02:11,350 --> 00:02:14,050
+acceleration لو أنا قلت ال acceleration قيمتها
+
+23
+00:02:14,050 --> 00:02:19,330
+بيساوي Zero في اتجاه ال X ايش معناتها؟ هنحط هنا Ax
+
+24
+00:02:19,330 --> 00:02:24,610
+بتساوي Zero هذا الحد بيروح هذا الحد بيروح هذا الحد
+
+25
+00:02:24,610 --> 00:02:29,110
+بيروحبيصير عند ال Vx سرعة ابتدائي و سرعة نهائية
+
+26
+00:02:29,110 --> 00:02:33,630
+ثابتة يعني سرعة في أي منطقة بتكون مالها ثابتة يعني
+
+27
+00:02:33,630 --> 00:02:36,390
+سرعة ثابتة إذا ال acceleration بالساوية zero
+
+28
+00:02:36,390 --> 00:02:40,250
+السرعة ثابتة هذا الحد راح لإن ال acceleration
+
+29
+00:02:40,250 --> 00:02:43,550
+بالساوية zero مافيش تغير في السرعة أكسلريشن
+
+30
+00:02:43,550 --> 00:02:47,660
+بالساوية zero ال Xأو الـ Displacement بالساوية
+
+31
+00:02:47,660 --> 00:02:51,240
+السرعة اللي هي قيمتها ثابتة في مين في الزمان هذا
+
+32
+00:02:51,240 --> 00:02:53,900
+الحد بيساوي Zero لأن ال acceleration بيساوي Zero
+
+33
+00:02:53,900 --> 00:02:57,720
+فبيصير في عند V X Square بيساوي V Not X Square
+
+34
+00:02:57,720 --> 00:03:00,780
+وهذا نفس المعادلة الأولى بتبين أن السرعة مالها
+
+35
+00:03:00,780 --> 00:03:05,500
+ثابتة معناه ذلك إذا ال acceleration كانت عنده
+
+36
+00:03:05,500 --> 00:03:08,980
+بالساوية Zero فش تغير في السرعة أما إذا كانت ال
+
+37
+00:03:08,980 --> 00:03:12,100
+acceleration لها قيمة في عنده تغير في مين في
+
+38
+00:03:12,100 --> 00:03:16,080
+السرعةنجي للمثال اللي انا بتطبقه projectile motion
+
+39
+00:03:16,080 --> 00:03:21,600
+projectile motion حركة المقذوفات حركة المقذوفات هي
+
+40
+00:03:21,600 --> 00:03:25,720
+عبارة عن particle بتحرك بمين؟ بالنشر ال velocity
+
+41
+00:03:25,720 --> 00:03:29,680
+بس بتحرك في دو ال dimension في اتجاه ال X و اتجاه
+
+42
+00:03:29,680 --> 00:03:34,420
+ال Y بتحرك في اتجاه ال X و اتجاه ال Y بهذا الشكل
+
+43
+00:03:34,420 --> 00:03:40,560
+هذه
+
+44
+00:03:40,560 --> 00:03:48,910
+حركة المحور Xوين دي محور؟ Why؟اللي هو محور Y أول
+
+45
+00:03:48,910 --> 00:03:52,490
+حاجة بتتعرف على الـ Acceleration الـ Acceleration
+
+46
+00:03:52,490 --> 00:03:55,870
+اللي بتأثر عليه هي Acceleration of Gravity الـ
+
+47
+00:03:55,870 --> 00:03:59,410
+Acceleration of Gravity تايمة اتجاهها لوين؟ إلى
+
+48
+00:03:59,410 --> 00:04:05,950
+أسفل، إذا الأول أنا قلت محور Y فيه Acceleration Ay
+
+49
+00:04:05,950 --> 00:04:13,330
+جدش هتساوي Ay؟ هتساوي سالب جي في مين؟ في اتجاه الـ
+
+50
+00:04:13,330 --> 00:04:18,510
+Yإذا الـ acceleration هنا بدأ تكون في اتجاه الـ Y
+
+51
+00:04:18,510 --> 00:04:21,950
+قيمتها بالساوية سالب ج في إيه؟ في ال direction
+
+52
+00:04:21,950 --> 00:04:26,770
+لمين؟ لل Y طيب هل في عندي acceleration في اتجاه ال
+
+53
+00:04:26,770 --> 00:04:32,890
+X؟ ال acceleration في اتجاه ال X بساوية Zeroمش اي
+
+54
+00:04:32,890 --> 00:04:36,410
+قوة لو قلنا ايش نحمل كل اشهر مثلا acceleration في
+
+55
+00:04:36,410 --> 00:04:39,710
+اتجاه ال Y و في اتجاه ال X قيمتها Zero اذا نفيد
+
+56
+00:04:39,710 --> 00:04:43,330
+اندو اكسلراشن اكسلراشن في اتجاه ال Y و اكسلراشن في
+
+57
+00:04:43,330 --> 00:04:48,260
+اتجاه ال X الاكسلراشن في اتجاه ال Y قيمتهابالساوية
+
+58
+00:04:48,260 --> 00:04:50,880
+سالب جي لكن ال acceleration اللي في اتجاه ال Y
+
+59
+00:04:50,880 --> 00:04:54,500
+قيمتها بالساوية Zero لما اقول كمان مرة ال
+
+60
+00:04:54,500 --> 00:04:57,600
+acceleration اللي في اتجاه ال Y بالساوية Zero
+
+61
+00:04:57,600 --> 00:05:02,440
+مباشرة بيجي ع بالي ان السرعة في اتجاه ال X ما لها
+
+62
+00:05:02,440 --> 00:05:07,260
+سرعة ثابتة لكن ال acceleration في اتجاه ال Y
+
+63
+00:05:07,260 --> 00:05:13,770
+معناته السرعة ما لها متغيرةولاحظوا سلب اتجاه ال Y
+
+64
+00:05:13,770 --> 00:05:17,830
+هي عجلة الجاذبية الأرضية حتشبه اللي أخدناه في
+
+65
+00:05:17,830 --> 00:05:22,190
+نهاية chapter 2 اللي هو ال free falling ال
+
+66
+00:05:22,190 --> 00:05:25,330
+acceleration وين اتجاهها الاسفل اذا هذه ال
+
+67
+00:05:25,330 --> 00:05:29,450
+projectile motion عبارة عن حرفتين دمجتهم مع بعض
+
+68
+00:05:29,450 --> 00:05:33,980
+واحدة في اتجاه ال Xجسم فيها بتحرك بسرعة ثابتة
+
+69
+00:05:33,980 --> 00:05:39,060
+واحدة في اتجاه ال Y جسم رميته لفوقه ايش رميته
+
+70
+00:05:39,060 --> 00:05:43,800
+vertical و بعدين ايش نزل اذا عبارة عن free falling
+
+71
+00:05:43,800 --> 00:05:48,720
+في اتجاه ال Y وعندنا حركة تانية اللي هي عبارة عن
+
+72
+00:05:48,720 --> 00:05:53,680
+constant جسم بتحرك ب constant velocityبدي اشتغل كل
+
+73
+00:05:53,680 --> 00:05:58,460
+محور لحاله يعني ال X direction لحالها و ال Y
+
+74
+00:05:58,460 --> 00:06:02,000
+direction لحاله و اشوف ايش المعادلات كمان مرة بقول
+
+75
+00:06:02,000 --> 00:06:05,900
+اتجاه ال projectile motion ال AX بالساوة زيرو بدي
+
+76
+00:06:05,900 --> 00:06:08,960
+اشتغل المعادلات التلاتي و احط ال AX بالساوة زيرو
+
+77
+00:06:08,960 --> 00:06:13,060
+ايش هيطلع عنده اول معادلة VX بالساوة V0X ايش
+
+78
+00:06:13,060 --> 00:06:19,430
+معناتها قولنا constant constant velocityمعادلة
+
+79
+00:06:19,430 --> 00:06:23,830
+التانية X بيساوي V not X في T لأن هذا الحد ماله
+
+80
+00:06:23,830 --> 00:06:28,870
+راح، إيش هيصير عنده؟ V not X سرعة ثابتة ال
+
+81
+00:06:28,870 --> 00:06:31,970
+displacement بيساوي السرعة في الزمن في ال time أخر
+
+82
+00:06:31,970 --> 00:06:35,510
+معادلة، هذا الحد راح عنده، فصار عنده V X Square
+
+83
+00:06:35,510 --> 00:06:38,250
+بيساوي V not X Square وهذا نفس المعادلة الأولى
+
+84
+00:06:38,250 --> 00:06:41,210
+كأنه سرعة مالها ثابتة، لذا السرعة في اتجاه ال X
+
+85
+00:06:41,210 --> 00:06:46,620
+مقدرها إيش؟ مقدر ثابتنشهد اتجاه ال Y ايش بده احضر
+
+86
+00:06:46,620 --> 00:06:52,540
+بدل ال AY بدل ال AY بده احضر ايش قيمتها سالب G
+
+87
+00:06:52,540 --> 00:06:56,820
+السالب ايش معناته اتجاهها لوين لأسفل احنا قولك اول
+
+88
+00:06:56,820 --> 00:07:01,180
+مرة بننبه في ال vector دايما الاتجاه القيمة السالب
+
+89
+00:07:01,180 --> 00:07:05,220
+او الاشارة السالبة معناته اتجاهها لوين لأسفل لذن
+
+90
+00:07:05,220 --> 00:07:11,060
+بده عاجز اشيل هذه الحد عندهم ال AYو احط محله سالب
+
+91
+00:07:11,060 --> 00:07:14,720
+جي و هذا اشيل و احط محله سالب جي و هذا نفس الاشي و
+
+92
+00:07:14,720 --> 00:07:20,580
+احط سالب جي اش هاسير عنده المعادلة الأولى vy سوة v
+
+93
+00:07:20,580 --> 00:07:27,080
+not y ناقص g في t المعادلة التانيةY-Y0 يكون الـ Y0
+
+94
+00:07:27,080 --> 00:07:30,000
+كان هي الشيء الـ origin اللي أنا بدي منه بيساوي
+
+95
+00:07:30,000 --> 00:07:34,940
+Zero إذاً Y بيساوي V0Y في تين minus نص بدل ال AY
+
+96
+00:07:34,940 --> 00:07:39,560
+حطت سلب G صار عندي ناقص نص GT تربيع VY تربيع
+
+97
+00:07:39,560 --> 00:07:43,340
+بيساوي V0Y تربيع ناقص اتنين جيبه في ال Y إذاً في
+
+98
+00:07:43,340 --> 00:07:45,540
+عندي معادلة لـ projectile motion الآن في عندي
+
+99
+00:07:45,540 --> 00:07:48,840
+حاجتين في عندي اتجاه ال X إلها أو ال horizontal
+
+100
+00:07:48,840 --> 00:07:54,780
+motion أو ال X direction اتجاه ال X وهذه ال Y
+
+101
+00:07:58,560 --> 00:08:02,300
+معادلات ال X-direction بهذا الشكل، لاحظوا الأول
+
+102
+00:08:02,300 --> 00:08:05,940
+والأخير لا تلزمونيش لان سرعة ثابتة عند المعادل
+
+103
+00:08:05,940 --> 00:08:08,500
+اللي في النص اللي بتعبر عن علاقة بين ال
+
+104
+00:08:08,500 --> 00:08:12,300
+displacement وال velocityلكن هنا بلزم من التلت
+
+105
+00:08:12,300 --> 00:08:16,420
+معادلات اشتغل عليهم اذا اول ما يقول في projectile
+
+106
+00:08:16,420 --> 00:08:19,820
+motion في عندى كم من معادلة في عندى اربعة معادلات
+
+107
+00:08:19,820 --> 00:08:23,200
+واحدة في اتجاه ال X اللي هو يعبر عن displacement و
+
+108
+00:08:23,200 --> 00:08:28,820
+التلت معادلات اللي انا عارفهم اللي فيهم خمس مجهيل
+
+109
+00:08:28,820 --> 00:08:32,280
+او خمس قيحجات اللي هو السرعة الابتدائية السرعة
+
+110
+00:08:32,280 --> 00:08:36,310
+النهائية ال acceleration الزمن و ال displacementلأ
+
+111
+00:08:36,310 --> 00:08:39,350
+لو انا استخدمت المعادلات اللي موجود عندى معادلة ال
+
+112
+00:08:39,350 --> 00:08:44,410
+X مع معادلة ال Y و عوضتهم مع بعض حلاجة عندى بطلع
+
+113
+00:08:44,410 --> 00:08:50,170
+لو عوضت معادلة ال X اللي في ال X equation مع ال T
+
+114
+00:08:50,170 --> 00:08:53,630
+مع
+
+115
+00:08:53,630 --> 00:08:59,090
+المعادلة اللي في اتجاه ال Y بحصل على equation لل
+
+116
+00:08:59,090 --> 00:09:08,440
+Parabolaاللي هي y مستوى v0 tan θ في x minus اللي
+
+117
+00:09:08,440 --> 00:09:13,540
+هو g على اتنين v0 square cosine square theta x
+
+118
+00:09:13,540 --> 00:09:18,500
+تربيع إذا المسار اللي هيمشي فيه هذا الجسم هو مسار
+
+119
+00:09:18,500 --> 00:09:19,960
+ماله برابولة
+
+120
+00:09:28,490 --> 00:09:33,970
+السرعة الابتدائية اللي
+
+121
+00:09:33,970 --> 00:09:39,410
+انا رميت فيها الجسم V0 و بتعمل زاوية مقدارها مالها
+
+122
+00:09:39,410 --> 00:09:43,290
+ثيتا لو انا رميت الزاوية مقدارها Zero فالضرر مش زي
+
+123
+00:09:43,290 --> 00:09:47,010
+هيك عادل و بعدين بتنزل لكن انا الان اشمال رامي
+
+124
+00:09:47,010 --> 00:09:51,920
+زاوية مقدارها ثيتاالسرعة متجهة إذا أنا مراكز في
+
+125
+00:09:51,920 --> 00:09:56,000
+اتجاه ال X و مراكز في اتجاه ال Y إذا بقدر أقول هنا
+
+126
+00:09:56,000 --> 00:10:06,880
+في عند V not X V سرعة not ابتدائية في اتجاه محور X
+
+127
+00:10:06,880 --> 00:10:17,020
+هنا بنفس الكيفية في عند V not YV not سرعية
+
+128
+00:10:17,020 --> 00:10:21,940
+ابتدائية في اتجاه محور Y لاحظوا انه الان كأنه في
+
+129
+00:10:21,940 --> 00:10:26,960
+اندي جسم الجسم رمته في اتجاه ال X رمته في اتجاه من
+
+130
+00:10:26,960 --> 00:10:32,100
+ال Y هنا لما رمته في اتجاه ال Y هيطلعه ايش هيطلعه
+
+131
+00:10:32,100 --> 00:10:36,280
+يعود ينزل اتجاه ال X كأنه بيحركه في اتجاه ال X
+
+132
+00:10:36,280 --> 00:10:41,330
+فبيصير شكلها شكل برابولة بهذا الشكلطيب في أي منطقة
+
+133
+00:10:41,330 --> 00:10:44,910
+موجودة عندى، المنطقة هذه مثلا، النقطة التانية، في
+
+134
+00:10:44,910 --> 00:10:51,790
+عندى سرعة في اتجاه ال X و سرعة في اتجاه ال Y، VX و
+
+135
+00:10:51,790 --> 00:10:58,770
+VYطيب السؤال اللي بطرح نفسه ايش الفرق بين V0x و Vx
+
+136
+00:10:58,770 --> 00:11:06,450
+V0x و Vx ما لهم متساويات اتنتين ايش نفس القيمة طيب
+
+137
+00:11:06,450 --> 00:11:12,450
+لو جيت للنقطة اللي عاجبالها تماما هنا اتجاه السرعة
+
+138
+00:11:12,450 --> 00:11:16,230
+هنا دايما موازي مقاس مماس لمين
+
+139
+00:11:19,250 --> 00:11:24,410
+للمحور، لذن هي مماس للمنحنة، هنا هيكون عندى مماس
+
+140
+00:11:24,410 --> 00:11:33,900
+للمنحنةفي مركبة VX و VY التنتين النقطين متشابهة
+
+141
+00:11:33,900 --> 00:11:39,200
+عاجبال بعض تماما الاختلاف الوحيد اللي بينهم VX نفس
+
+142
+00:11:39,200 --> 00:11:43,940
+ال VX لكن ال VY اتجاه الأعلى ال VY هنا اتجاه
+
+143
+00:11:43,940 --> 00:11:48,180
+الأسفل ال VY هذه قيمتها لو انا حسبتها بالموجب لو
+
+144
+00:11:48,180 --> 00:11:52,080
+انا حسبتها هذه هتطلع معايا ايش بالسالب تماما اطلع
+
+145
+00:11:52,080 --> 00:11:58,350
+هنا VYالى أعلى و هنا VY لمن؟ الى أسفل أخدناها في
+
+146
+00:11:58,350 --> 00:12:02,590
+نهاية chapter 2 التنتين مالهم متساويات بس واحد
+
+147
+00:12:02,590 --> 00:12:05,550
+اتجاه الأعلى معناتها موجب لأن اتجاه الأعلى هو
+
+148
+00:12:05,550 --> 00:12:10,490
+الموجب الاتجاه الأعلى هو الموجب والاتجاه الأسفل هو
+
+149
+00:12:10,490 --> 00:12:16,510
+السالب اليمين هو الموجب اليسار هو السالبالان لو
+
+150
+00:12:16,510 --> 00:12:22,510
+جيت للنقطة هذه النقطة اللي هنا هذه النقطة بتعبر عن
+
+151
+00:12:22,510 --> 00:12:29,270
+مين؟ عن اقصى ارتفاع بسميها H maximum اقصى ارتفاع
+
+152
+00:12:29,270 --> 00:12:35,490
+عنده ايش بيكون فيه؟ بيكون في السرعة هنا اتجاهها
+
+153
+00:12:35,490 --> 00:12:42,030
+فقط في اتجاه مينهل في سرعة عندك في اتجاه ال Y؟
+
+154
+00:12:42,030 --> 00:12:47,270
+السرعة في اتجاه ال Y قيمتها كم؟ Zero كأن الحركة
+
+155
+00:12:47,270 --> 00:12:51,910
+فقط او السرعة عند هذه النقطة اتجاهها في اتجاه ال X
+
+156
+00:12:53,060 --> 00:12:56,960
+كأنها واصل إلى أقصى ارتفاع اقصى ارتفاعي الذاكرين
+
+157
+00:12:56,960 --> 00:13:03,600
+VY بتساوي اكم Zero عند أقصى ارتفاع VY بتساوي Zero
+
+158
+00:13:03,600 --> 00:13:07,880
+الان انا بمعرفتي ممكن الخص الكلام اللي انا قلته
+
+159
+00:13:07,880 --> 00:13:13,240
+على هذا المنحنةعلى هذا المنحنى اللى موجود عندى هنا
+
+160
+00:13:13,240 --> 00:13:16,840
+اول حاجة ال acceleration في اتجاه ال X بالساوية
+
+161
+00:13:16,840 --> 00:13:20,820
+Zero ال acceleration في اتجاه ال Y هي السالب G
+
+162
+00:13:20,820 --> 00:13:25,160
+واتجاهها في اتجاه ال Y عندى انا صراعه ابتدائية
+
+163
+00:13:25,160 --> 00:13:28,780
+صراعه ابتدائية بتعمل زاوية مقدرها Theta من خلال
+
+164
+00:13:28,780 --> 00:13:33,000
+الزاوية Theta باتبع المتجهات و بحلل بلاغ الاتجاه
+
+165
+00:13:33,000 --> 00:13:38,270
+عندى في اتجاه ال X V0 X و هنا V0 Yفي نوت Y عند
+
+166
+00:13:38,270 --> 00:13:42,190
+أقصى ارتفاع أقصى ارتفاع فيكون ال VY بالساوة Zero
+
+167
+00:13:42,190 --> 00:13:45,670
+يعني لو سأل سؤال في اختيار متعدد عند أقصى ارتفاع
+
+168
+00:13:45,670 --> 00:13:49,310
+السرعة بالساوة Zero هل هذا الكلام صح ولا لأعند
+
+169
+00:13:49,310 --> 00:13:55,590
+أقصى ارتفاع السرعة بتساوي 0 لأ مش صح ال VY هي اللي
+
+170
+00:13:55,590 --> 00:14:00,670
+بتساوي 0 لكن VX مالها قلنا دائما قيمتها إيش قيمتها
+
+171
+00:14:00,670 --> 00:14:06,530
+ثابتة VX هنا قيمتها ثابتة VX هنا قيمتها ثابتة VX
+
+172
+00:14:06,530 --> 00:14:12,450
+النهائية بتساوي VX إيش V0X لكن مين اللي بتغير هي
+
+173
+00:14:12,450 --> 00:14:19,900
+ال VY لو سألت ال VY عندي نقطة هادرة هتكون مالهاVY
+
+174
+00:14:19,900 --> 00:14:24,880
+هي مساوية لقيمة الـ V not Y لكن ايش اللي هتختلف
+
+175
+00:14:24,880 --> 00:14:28,840
+الإشارتها هذه إلى أعلى موجبة هذه لو انا جيت حسبتها
+
+176
+00:14:28,840 --> 00:14:34,720
+هتطلع إشارتها مالها بالسلب لو أنا بدي أخد أبدأ حل
+
+177
+00:14:34,720 --> 00:14:40,700
+هذا المنطقة هذه المنطقة هي الـ H maximum طيب هذه
+
+178
+00:14:40,700 --> 00:14:44,820
+المنطقة من نقطة البداية لنقطة النهاية ايش بسميها
+
+179
+00:14:44,820 --> 00:14:52,330
+بسميها ال rangeو برموزها بالرمز R إذاً ال range
+
+180
+00:14:52,330 --> 00:14:57,970
+اللي هو ال R H maximum اللي هو أقصى التفاع لو أنا
+
+181
+00:14:57,970 --> 00:15:04,210
+حسبت الزمنمتوقعين الزمن يطلع عند أقصى ارتفاع الزمن
+
+182
+00:15:04,210 --> 00:15:07,570
+اللي هنا من نقطة البداية لأقصى ارتفاع مش متوقعين
+
+183
+00:15:07,570 --> 00:15:12,730
+يطلع هيطلع معاه نفس الزمن من أقصى ارتفاع لمين لما
+
+184
+00:15:12,730 --> 00:15:16,830
+يصل ل Y بالساوة 0 في مرحلة بدأ أقولها Y هنا
+
+185
+00:15:16,830 --> 00:15:21,570
+بالساوية كم؟ Zero كذلك X بالساوية Zero هي ال
+
+186
+00:15:21,570 --> 00:15:26,690
+origin لما أصل هنا X عبارة عن ال range لكن Y
+
+187
+00:15:26,690 --> 00:15:35,730
+قيمتها كم؟ Zeroطيب لو جيت للمنطقة هذه وي ايش في
+
+188
+00:15:35,730 --> 00:15:40,070
+الموجة ولا في السلب عند
+
+189
+00:15:40,070 --> 00:15:46,410
+النقطة اللي هي سميها ايه نجي اول حاجة ايش الموجة
+
+190
+00:15:46,410 --> 00:15:51,090
+وايش السلب في وي عندها موجة ولا سلب اتجاهها الى
+
+191
+00:15:51,090 --> 00:16:01,200
+اين الى اعلى في الموجة في عند النقطة at pointاي VY
+
+192
+00:16:01,200 --> 00:16:09,220
+بالساوية positive طيب ال Y اللي هنا هذا هي ال Y ال
+
+193
+00:16:09,220 --> 00:16:15,660
+Y كمان positive لكن ال acceleration وين اتجاهها ال
+
+194
+00:16:15,660 --> 00:16:24,540
+AY دائما ايش سالب G لأنه اتجاهها لوين الاسفل طيب
+
+195
+00:16:24,540 --> 00:16:28,740
+وقت ايش وين بتكون ال Y بالساوية
+
+196
+00:16:30,240 --> 00:16:37,380
+بالسالب ال Y بالسالب هاي ال VY ال Y بالساوي Zero
+
+197
+00:16:37,380 --> 00:16:42,320
+كل حاجة فوقيها موجة بقى كل حاجة تحتها أيش بالسالب
+
+198
+00:16:42,320 --> 00:16:47,740
+يعني لو بدل جسم ينزل لتحت في هذه الحالة عند النقطة
+
+199
+00:16:47,740 --> 00:16:56,440
+C at point C بتكون Y إيش ما لها قيمتها سالبة
+
+200
+00:16:59,420 --> 00:17:06,280
+طيب السرعة هنا Vx موجة ما هو نفس ال V not X لكن ال
+
+201
+00:17:06,280 --> 00:17:12,160
+Vy اللي هنا بتطلع قيمتها بالسالم طيب لو سألت سؤال
+
+202
+00:17:12,160 --> 00:17:19,880
+كيف بدي أعرف الجسم اصطدم رميت انا حاجة اصطدم في أي
+
+203
+00:17:19,880 --> 00:17:26,690
+اشي في شباك في باب في اي ..في عمود الان لما صدم هل
+
+204
+00:17:26,690 --> 00:17:30,430
+الصدم هو طالع ولا هو نازل يعني لو قلت ان انا في
+
+205
+00:17:30,430 --> 00:17:35,130
+عين عمود طوله مترين المترين ممكن يكونوا هنا و ممكن
+
+206
+00:17:35,130 --> 00:17:41,570
+يكونوا هنا يعني ممكن يكون قبل اقصر ارتفاع و ممكن
+
+207
+00:17:41,570 --> 00:17:48,310
+يكون بعد اقصر ارتفاعهل هو الصدم في هذا العمود و هو
+
+208
+00:17:48,310 --> 00:17:57,710
+صاعد ولا هو نازل بروح أحسب ال VY إذا ال VY كانت
+
+209
+00:17:57,710 --> 00:18:02,210
+قيمتها بالموجب طلعت معايا معناته الصدم فيه و هو
+
+210
+00:18:02,210 --> 00:18:08,290
+صاعد إذا ال VY طلعت معايا قيمتها بالسالب بيكون
+
+211
+00:18:08,290 --> 00:18:14,130
+الصدم في العمود و هو نازلإذا الإشارة مهمة بتبين
+
+212
+00:18:14,130 --> 00:18:18,170
+المكان كمان هل الصدمة وصاعد الصدمة و هو لازم ممكن
+
+213
+00:18:18,170 --> 00:18:21,830
+تحسبها عن طريق حاجة تانية الزمن احنا الزمن قلنا
+
+214
+00:18:21,830 --> 00:18:26,550
+نصفين متمثلة تحسب للزمن اللي هنا زمن أقصر ارتفاع و
+
+215
+00:18:26,550 --> 00:18:32,070
+تشوف الزمن بيطلع أقل من زمن أقصر ارتفاع ولا أكثر
+
+216
+00:18:32,070 --> 00:18:36,380
+من زمن أقصر ارتفاع إذا كانأقل من زمن أقصر ارتفاع
+
+217
+00:18:36,380 --> 00:18:40,440
+بيكون و هو ساعد أكثر من زمن أقصر ارتفاع بيكون و هو
+
+218
+00:18:40,440 --> 00:18:45,640
+نازل أو ممكن تحسبها عن طريق ال X نص ال range هنا
+
+219
+00:18:45,640 --> 00:18:49,740
+بيكون نص ال range أكبر من نص ال range و هو نازل
+
+220
+00:18:49,740 --> 00:18:55,620
+أقل من نص ال range و هو ساعد بيجي نطبق مثال على
+
+221
+00:18:55,620 --> 00:18:59,120
+هالكلام اللي قلناه و المعلومات اللي أخدناها و نشوف
+
+222
+00:18:59,120 --> 00:19:04,050
+هذا المثال كيف أنا بدي أحلهالأن ناخد example على
+
+223
+00:19:04,050 --> 00:19:06,350
+الكلام اللي قلناه ال example بيقول فين ال
+
+224
+00:19:06,350 --> 00:19:12,010
+projectile انطلق من point A من ال origin و with
+
+225
+00:19:12,010 --> 00:19:18,250
+initial speed V0 عنده بتعمل زاوية قيمتها اللي هي
+
+226
+00:19:18,250 --> 00:19:20,550
+كمان واضحة في الشكل نشوف الشكل اللي موجود عندنا
+
+227
+00:19:20,550 --> 00:19:28,570
+هنا زاوية 60 هاي و هذا السؤال نفسه هذه الزاوية من
+
+228
+00:19:28,570 --> 00:19:39,160
+ال origin قيمتها 60و بسرعة ابتدائية قيمتها V0 لأ
+
+229
+00:19:39,160 --> 00:19:46,160
+لأ عيد عيد من و أجيب 26 سراحة انا اشطفه اشطفه بس و
+
+230
+00:19:46,160 --> 00:19:52,220
+أنا مثال بعدين عند
+
+231
+00:19:52,220 --> 00:19:53,900
+exam نبدأ ابدأ
+
+232
+00:19:56,660 --> 00:20:02,000
+تطبيق على الكلام اللي احنا قلناه حركة المغطوفات
+
+233
+00:20:02,000 --> 00:20:06,300
+بتمثل بهذا الشكل اللي قبل اللي شوفناه الآن هذا
+
+234
+00:20:06,300 --> 00:20:12,380
+الشكل لحركة projectile بتبدأ من ال origin من ال
+
+235
+00:20:12,380 --> 00:20:18,600
+origin وبتمشي لما تصل ل y بالساوية zero لما تصل
+
+236
+00:20:18,600 --> 00:20:24,220
+لنفس ال range بدي احسب h maximum وبيحسب قيمة ال
+
+237
+00:20:24,220 --> 00:20:32,100
+rangeأول حاجة ايش المعطيات اللي عندي find او
+
+238
+00:20:32,100 --> 00:20:38,560
+المطلوب من find maximum height h maximum ومطلوب
+
+239
+00:20:38,560 --> 00:20:42,140
+عندي احسب ال range ال horizontal range اللي هو a
+
+240
+00:20:42,140 --> 00:20:45,320
+حركة
+
+241
+00:20:45,320 --> 00:20:48,920
+المقضوفات بهذا الشكل كمان مارا نرسمها ممكن تكون
+
+242
+00:20:48,920 --> 00:20:49,660
+أوضح هنا
+
+243
+00:20:52,360 --> 00:20:57,900
+عندى محورين محور Y كمان مرة بقول ومحور X عشان
+
+244
+00:20:57,900 --> 00:21:02,020
+ماأنساش دايما انه في عندى ال acceleration اللى في
+
+245
+00:21:02,020 --> 00:21:07,020
+اتجاه ال X بتساوي Zero لكن ال acceleration اللى في
+
+246
+00:21:07,020 --> 00:21:13,340
+اتجاه ال Y Ay هي سالب G وبستخدم معادلات اللي عوضت
+
+247
+00:21:13,340 --> 00:21:19,260
+عنها بسالجي سرعة ابتدائية هنا initial velocity V0
+
+248
+00:21:19,260 --> 00:21:25,650
+وزاوية مقدرها θمباشرة بقى يا جماعة اقول في عندنا
+
+249
+00:21:25,650 --> 00:21:34,190
+V0X V0X
+
+250
+00:21:34,190 --> 00:21:40,650
+بتساوي V0 Cos زاوية متجة محللة في مراكبة سينية
+
+251
+00:21:40,650 --> 00:21:51,940
+ومراكبة صادرية V0Y بساوي V0 Sin θطلب عند أقصى
+
+252
+00:21:51,940 --> 00:21:59,120
+ارتفاع هي أقصى ارتفاع هذا هو الـ H maximum إيش عند
+
+253
+00:21:59,120 --> 00:22:02,760
+نقطة يعني بلزم ال initial point و ال final point
+
+254
+00:22:02,760 --> 00:22:10,960
+ال final point عند H maximum في VY بتساوي 0 لكن في
+
+255
+00:22:10,960 --> 00:22:16,200
+VX قيمتها مالها قيمتها ثابتة طب لو سألت سؤال ال
+
+256
+00:22:16,200 --> 00:22:18,920
+acceleration عند أقصى ارتفاع جداش قيمتها
+
+257
+00:22:20,000 --> 00:22:22,940
+acceleration and اقصى ارتفاع ال acceleration and
+
+258
+00:22:22,940 --> 00:22:27,900
+اقصى ارتفاع دائما قيمتها ياش ثابتة قيمتها جديش
+
+259
+00:22:27,900 --> 00:22:31,420
+اللي هي acceleration of gravity اللي هي تسعة point
+
+260
+00:22:31,420 --> 00:22:34,900
+تمانية يعني لو قولنا ال acceleration اجاكس الوقت
+
+261
+00:22:34,900 --> 00:22:38,480
+acceleration and اقصى ارتفاع ال acceleration and y
+
+262
+00:22:38,480 --> 00:22:42,060
+بالساوة zero ال acceleration and y بالساوة سالب
+
+263
+00:22:42,060 --> 00:22:48,540
+دائما قيمتها ياش نفس القيمةطب هي من هذه المعطيات
+
+264
+00:22:48,540 --> 00:22:54,100
+اذا اول حاجة حللت V0 X وجبت قيمتها V0 Cos الزاوية
+
+265
+00:22:54,100 --> 00:22:59,380
+وجبت V0 Y وجبت قيمتها V0 Sin الزاوية ليش انا جبت
+
+266
+00:22:59,380 --> 00:23:02,180
+تجاه ال X؟ بدي اشتغل في تجاه ال X لحاله وتجاه ال Y
+
+267
+00:23:02,180 --> 00:23:07,680
+لحاله نيجي لما احسب اقصر تفعيل نرجع للمعادلات
+
+268
+00:23:07,680 --> 00:23:11,460
+التلاتي اللي موجودة عندنا مين فيها ال Y يا
+
+269
+00:23:11,460 --> 00:23:13,040
+المعادلة التانية
+
+270
+00:23:17,100 --> 00:23:21,820
+هي المعادلة التالتة نجي للمعادلة التانية هنا و
+
+271
+00:23:21,820 --> 00:23:27,940
+أستخدمها ال معادلة
+
+272
+00:23:27,940 --> 00:23:31,880
+التالتة أسف المعادلة التالتة و أستخدمها vy2 بيساوي
+
+273
+00:23:31,880 --> 00:23:38,400
+v not y2 minus 2 g في ال y الان vy قلنا ال vy قداش
+
+274
+00:23:38,400 --> 00:23:45,560
+قيمتها vy بيساوي zero لذا ال vy راحتV0Y V0Y هي
+
+275
+00:23:45,560 --> 00:23:51,620
+عبارة عن V0 Sine Theta V0 Sine Theta Square لأن
+
+276
+00:23:51,620 --> 00:23:57,200
+V0Y Square Minus 2G في H في الـ H اللي أنا بدور
+
+277
+00:23:57,200 --> 00:24:02,940
+عليها اللي هي الـ H maximum منها مباشرة بننجل هذا
+
+278
+00:24:02,940 --> 00:24:06,920
+على الطرف التاني و بجسم على 2G بطلع الـ H maximum
+
+279
+00:24:06,920 --> 00:24:11,840
+هيقيمتها V0 Square Sine Square Theta على 2G حسبت
+
+280
+00:24:11,840 --> 00:24:16,900
+الـ H maximumالان بدى احسب ال range ال range عبارة
+
+281
+00:24:16,900 --> 00:24:20,600
+عن محور مين؟ محور X كان من المعادلة في محور X
+
+282
+00:24:20,600 --> 00:24:26,180
+مباشرة بتيجي على باله X بالساوية V0 X في H في T و
+
+283
+00:24:26,180 --> 00:24:32,740
+X بالساوية V0 X صارت معروف عند V0 Cos θ في Tأيش
+
+284
+00:24:32,740 --> 00:24:37,040
+بيضل أحدد قيمة الـ T؟ من وين بيحدد قيمة الـ T؟ من
+
+285
+00:24:37,040 --> 00:24:41,980
+محور Y المحور Y هي المعادلة اللي فيها T هي
+
+286
+00:24:41,980 --> 00:24:45,640
+المعادلة الأولى هي المعادلة التانية المعادلة
+
+287
+00:24:45,640 --> 00:24:51,100
+التانية Y بالساوية V not Y في T إذا باجي للمعادلة
+
+288
+00:24:51,100 --> 00:24:55,720
+التانية Y بالساوية V not Y في T وبطلع منها T
+
+289
+00:24:55,720 --> 00:25:02,100
+وبعوضه هنا في هذه المعادلة إذا حيصير عندهY بيساوي
+
+290
+00:25:02,100 --> 00:25:08,140
+V Not Y في T ماينوس نص GTT Square و Y قيمتها Zero
+
+291
+00:25:08,140 --> 00:25:13,280
+لأنه بيتكلم على ال range الآن ال range هيه Y
+
+292
+00:25:13,280 --> 00:25:19,080
+بتساوي Zero Y بتساوي Zero مافيش إذاحة في اتجاه ال
+
+293
+00:25:19,080 --> 00:25:25,000
+Y من ال origin و رجع لمين لنفس المستوى اللي موجود
+
+294
+00:25:25,000 --> 00:25:28,960
+عليه إذا اللي زاحة في اتجاه ال Y قيمتها0 V0Y باعوض
+
+295
+00:25:28,960 --> 00:25:35,920
+عنها V0 Sine Theta في T minus نص G T تربيع بجسم
+
+296
+00:25:35,920 --> 00:25:41,860
+على ال T على ال T على ال T بطلع عنده Zero بالساوية
+
+297
+00:25:41,860 --> 00:25:47,520
+V0 Sine Theta minus نص G T تروح ال T ال square و
+
+298
+00:25:47,520 --> 00:25:53,020
+منها بانجل هذا على الطرف التاني و بطلع قيمة قيمة
+
+299
+00:25:53,020 --> 00:26:01,170
+اللي هو الزمن هذا الزمنلكل المرحلة من بدايتها لين
+
+300
+00:26:01,170 --> 00:26:07,090
+لنهايتها لأن رجع صار الزمن معروف عندي بقى أشيل هذا
+
+301
+00:26:07,090 --> 00:26:13,170
+الـ T و بحط محله القيمة اللي طلعت معايا ل2 V0 sin
+
+302
+00:26:13,170 --> 00:26:26,880
+θ على G بيصير ال range قيمته 2 V0 و V0 V0²سين ثيتا
+
+303
+00:26:26,880 --> 00:26:32,640
+وكسين ثيتا على G طبعا معروف انه اتنين سين ثيتا
+
+304
+00:26:32,640 --> 00:26:40,340
+كسين ثيتا هي تبثل سين اتنين ثيتا بشيلها و بعوض
+
+305
+00:26:40,340 --> 00:26:46,380
+عنها بسين اتنين ثيتا بطلع ال range قيمته V not
+
+306
+00:26:46,380 --> 00:26:53,320
+square سين اتنين ثيتا على G نجي الان ناخد لنا مثال
+
+307
+00:26:53,320 --> 00:26:59,750
+بالارقامأحنا اخدنا مثال بصورة رموز لكن لو انا
+
+308
+00:26:59,750 --> 00:27:02,910
+اخترت القيام كنت لاجي الصورة على ابتدائي عشرة زوى
+
+309
+00:27:02,910 --> 00:27:10,890
+ستين اقصرت في عداش قيمته انطلق من منطقة من بنية من
+
+310
+00:27:10,890 --> 00:27:15,490
+الأرض من Y بيستو Zero و بدأ ابدأ اشتغل و احدد قيام
+
+311
+00:27:15,490 --> 00:27:20,510
+المثال
+
+312
+00:27:20,510 --> 00:27:24,770
+موجود عند بيقولفي اندي بروجيكتايل أي ان كان هذه
+
+313
+00:27:24,770 --> 00:27:33,610
+كرة رميتها بزاوية من
+
+314
+00:27:33,610 --> 00:27:39,610
+top of building ارتفاعه جديش تلاتين متر ارتفاع ال
+
+315
+00:27:39,610 --> 00:27:41,150
+building كان تلاتين متر
+
+316
+00:27:43,810 --> 00:27:48,530
+إذا أنا رميتها upward بسرعة قيمتها خمسة و عشرين
+
+317
+00:27:48,530 --> 00:27:53,050
+speed خمسة و عشرين meter per second و بتعمل زاوية
+
+318
+00:27:53,050 --> 00:27:57,530
+قيمتها سبعة و تلاتين هي للتوضيح سبعة و تلاتين درجة
+
+319
+00:27:57,530 --> 00:28:00,550
+بد
+
+320
+00:28:00,550 --> 00:28:06,610
+تحسب what is the time of flight زمان الطيران لما
+
+321
+00:28:06,610 --> 00:28:16,780
+تصلى وين تصلى الأرضبطلعت زي هيك و نزلت للأرض بدي
+
+322
+00:28:16,780 --> 00:28:21,220
+احسب الزمان المطلوب التاني نشوفه بعد ما نخلص
+
+323
+00:28:21,220 --> 00:28:24,700
+المطلوب الاول ايش بدي احسب الزمان اول حاجة السرعة
+
+324
+00:28:24,700 --> 00:28:28,220
+خمسة و عشرين هيها هي المحاور اللي بدي اخدها من
+
+325
+00:28:28,220 --> 00:28:34,260
+البناية هي البناية هي محور X وهي محور Y و انا
+
+326
+00:28:34,260 --> 00:28:40,420
+رميتها بزاوي زي هيكهذه السرعة V0 بساوية خمسة و
+
+327
+00:28:40,420 --> 00:28:44,580
+عشرين متر per second هذا الزاوية عنده قيمتها سبعة
+
+328
+00:28:44,580 --> 00:28:50,840
+و تلاتين درجة قولت محور X و محور Y هتقول هنا نفس
+
+329
+00:28:50,840 --> 00:28:57,740
+الكلام V0 X بساوية V0 Cos الزاوية ثيتا و هي خمسة و
+
+330
+00:28:57,740 --> 00:29:03,750
+عشرين Cos السبعة و تلاتينV not X صارت معروفة
+
+331
+00:29:03,750 --> 00:29:10,790
+قيمتها V not Y هتقول هنا V not Y بتساوي V not sin
+
+332
+00:29:10,790 --> 00:29:19,850
+θ V not sin 37 طبعا لما تيجي تحسبها هنا هتطلع
+
+333
+00:29:19,850 --> 00:29:26,560
+تقريبا عشرين مترع السكن لما تحسبها هنا هتطلع عندك
+
+334
+00:29:26,560 --> 00:29:30,640
+تقريبا 15 متر per second إذا صار عند ال V not X
+
+335
+00:29:30,640 --> 00:29:36,400
+معروف قيمتها 20 V not Y قيمتها صارت معروفة 15 متر
+
+336
+00:29:36,400 --> 00:29:41,360
+per second متر per second هاي أول معطة ماأنساش أن
+
+337
+00:29:41,360 --> 00:29:45,580
+ال acceleration في اتجاه ال X مش هم تنساش ال Ax
+
+338
+00:29:45,580 --> 00:29:48,980
+دايما بالساوة Zero ال acceleration في اتجاه ال Y
+
+339
+00:29:48,980 --> 00:29:54,260
+اللي هو acceleration of gravityالان بدى احسب الزمن
+
+340
+00:29:54,260 --> 00:30:01,180
+ال Y عندى هنا ال Y بتساوي Zero فوجيها موجة بتحتيها
+
+341
+00:30:01,180 --> 00:30:06,500
+بالسالب اذا ال Y هنا جدش ارتفاع البناية تلاتين
+
+342
+00:30:06,500 --> 00:30:10,960
+اخدها بالموجة اقبلها بالسالب هاخدها سالب تلاتين
+
+343
+00:30:10,960 --> 00:30:16,000
+لان ازاحة اتجاهها لوين الاسفل السالب هذا ازاحة
+
+344
+00:30:16,000 --> 00:30:21,420
+اتجاهها لوين الاسفل سالب تلاتين متر الان لما نجي
+
+345
+00:30:21,420 --> 00:30:26,460
+نعوضيمكن صارت معطيات عندى واضحة مكثيرة جدا ممكن
+
+346
+00:30:26,460 --> 00:30:30,800
+استفيد منها واطلع الحاجات المجهولة بتطلع الزمن عند
+
+347
+00:30:30,800 --> 00:30:36,100
+معطل Y وعند V0Y وعند ال acceleration في اتجاه Y
+
+348
+00:30:36,100 --> 00:30:40,340
+واذا ذاكرين قولنا اذا عرفت تلت أشياء بقدر أجيب
+
+349
+00:30:40,340 --> 00:30:46,950
+الحاجات المتبقيةإذا لو جيت للمعادلة تبعتي ال Y Y
+
+350
+00:30:46,950 --> 00:30:53,890
+بالساوي V not Y في T minus نص جيت تربيع Y قيمتها
+
+351
+00:30:53,890 --> 00:31:04,270
+minus وقولنا minus ليش لأن هوين إزاحة جاها لوين أو
+
+352
+00:31:04,270 --> 00:31:09,550
+الإزاحة لوين كانت لأسفل minus تلاتين بتساوي V not
+
+353
+00:31:09,550 --> 00:31:11,090
+Y ما طلعنا ال V not Y
+
+354
+00:31:36,360 --> 00:31:39,200
+طبعا ممكن يطلع حلين عندى لما حلها في المعادلة
+
+355
+00:31:39,200 --> 00:31:41,440
+التربية طبعا ال time دايما ماله
+
+356
+00:31:44,150 --> 00:31:51,070
+النجاتف طبعا بحمله لأن مافيش حال بالنجاتف لزمان
+
+357
+00:31:51,070 --> 00:31:56,290
+بالنجاتف الان المطلوب التاني المطلوب التاني بدي
+
+358
+00:31:56,290 --> 00:32:02,170
+ايش احسب وين بتجع من البناية من ال ground و بعدين
+
+359
+00:32:02,170 --> 00:32:06,730
+المطلوب التالت بدي احسب ال speed اللي وصلت فيه
+
+360
+00:32:06,730 --> 00:32:11,510
+الأرضقبل ما تسلطن بالأرض مباشرة جديش جانب لسبيل
+
+361
+00:32:11,510 --> 00:32:15,830
+إذا في عندي مطلوبين المطلوب التاني اللي هو ال X
+
+362
+00:32:15,830 --> 00:32:20,350
+معدلة ال X X مش هتلاقى معدلة واحدة في اتجاه ال X
+
+363
+00:32:20,350 --> 00:32:26,310
+اللي هي V not X في TT طلعتها من حسب الزمن وعند ال
+
+364
+00:32:26,310 --> 00:32:30,790
+V0x هي قيمتها ال V0x من البداية معطة في الزمن اللي
+
+365
+00:32:30,790 --> 00:32:35,470
+طلع معايا بطلع عند جداش قيمتها 88 متر يعني من هنا
+
+366
+00:32:35,470 --> 00:32:43,910
+لهنا هتكون 88.8 متر المطلوب الأخير بدي ال final
+
+367
+00:32:43,910 --> 00:32:53,210
+speed لاحظوا طلب speed لذا بدي Vx وVy
+
+368
+00:32:54,040 --> 00:33:02,740
+واجيب ال magnitude للتانين جدر Vx² زي Vy² Vx هل
+
+369
+00:33:02,740 --> 00:33:09,060
+بتتغير Vx قيمتها مالها ثابتة اذا بتساوي قدش طلعت
+
+370
+00:33:09,060 --> 00:33:13,780
+عنده 20 متر على السكن مين بيضل احسبها احسب ال Vy
+
+371
+00:33:13,780 --> 00:33:18,520
+من المعادلة اللي تكون المعادلة الأولى بطلع ال Vy
+
+372
+00:33:18,520 --> 00:33:23,710
+ال Vy بيساوي V not Y نقص G في T Vy بيساويv0y معروف
+
+373
+00:33:23,710 --> 00:33:27,030
+قيمتها ناقص جي 9.8 في ال T اللي انا حسبته من
+
+374
+00:33:27,030 --> 00:33:33,230
+الفداية بطلع اشارت بطلع قيمتها minus 28.5 اشارة ال
+
+375
+00:33:33,230 --> 00:33:38,250
+minus كمان اتجاه ايش معناتها اتجاهها لأسفل ده لذن
+
+376
+00:33:38,250 --> 00:33:44,710
+هي اتجاهها لأسفلحسبت ال Vx و Vy إذا السرعة كـ
+
+377
+00:33:44,710 --> 00:33:48,450
+Velocity مدة المراكبة السينية و المراكبة الصادية
+
+378
+00:33:48,450 --> 00:33:52,910
+المراكبة السينية هل بتتغير قيمتها ثابتة المراكبة
+
+379
+00:33:52,910 --> 00:33:59,390
+الصادية طلعت عنده 28.5 لا لو حسبت ال speed اللي هو
+
+380
+00:33:59,390 --> 00:34:02,950
+عبارة عن جدر المراكبة السينية تربيع زاد المراكبة
+
+381
+00:34:02,950 --> 00:34:11,070
+الصادية تربيع وبطلع قيمتها هكذا بنكونانهينا المثال
+
+382
+00:34:11,070 --> 00:34:16,390
+اللي هو تلات تلاتة اخر مثال ناخده اللي هو تلاتة
+
+383
+00:34:16,390 --> 00:34:24,310
+point أربع حتى ننهي هذا الموضوع في عند كرة رميتها
+
+384
+00:34:24,310 --> 00:34:29,270
+بس رميتها بشكل مختلف عن اللي انا عارف رميتها على
+
+385
+00:34:29,270 --> 00:34:34,310
+طاولة مثلا هاي الطاولة عندى و رميتها زي هيك اذا
+
+386
+00:34:34,310 --> 00:34:41,540
+كأني ماخد النص التانيرميتها عدل كأنه مالهاش سرعة
+
+387
+00:34:41,540 --> 00:34:46,680
+في اتجاه ال Y إذا السرعة كلها في اتجاه ال X إذا V
+
+388
+00:34:46,680 --> 00:34:52,480
+not X بالساوية تلاتة متر على الساكن V not Y جداش
+
+389
+00:34:52,480 --> 00:34:58,500
+بالساوية Zero كمان مرةV0 X بيستوي V0 Cos Zero
+
+390
+00:34:58,500 --> 00:35:01,660
+الزاوية هنا جديش قيمتها Zero يعني تيتا كأنها
+
+391
+00:35:01,660 --> 00:35:07,820
+بيستوي Zero Cos Zero واحد إذا V0 X هي V0 و V0 جديش
+
+392
+00:35:07,820 --> 00:35:12,900
+عندي تلاتة متر بيرسكن أما V0 Y Sine الزاوية Sine
+
+393
+00:35:12,900 --> 00:35:18,300
+Zero معطينة Zero إذا السرعة كأنها كلها في اتجاه ال
+
+394
+00:35:18,300 --> 00:35:25,340
+X من ارتفاع قيمته واحد و اتنين من عشرة متروين ال Y
+
+395
+00:35:25,340 --> 00:35:30,700
+هذه ال Y اندي بالساوية Zero تحتها سالب فوجهها أياش
+
+396
+00:35:30,700 --> 00:35:33,880
+موجة إذا لما أجي أعوض عن ال 1 و2 من 10 في
+
+397
+00:35:33,880 --> 00:35:38,100
+المعادلات بأعوض عنها أياش بالسالب وهذه المنطقة هي
+
+398
+00:35:38,100 --> 00:35:43,780
+ال X بدي أحسب اللي هو أول حاجة ال final velocity
+
+399
+00:35:43,780 --> 00:35:47,460
+تاني حاجة ال final velocity و ال X جداش قيمة ال X
+
+400
+00:35:48,250 --> 00:35:51,710
+لما انا اجى احسب ال X معادلة ال X بس وفيش لا
+
+401
+00:35:51,710 --> 00:35:57,450
+معادلة واحد يلها X بس او VX في T او V not X او VX
+
+402
+00:35:57,450 --> 00:36:01,670
+نفس السرعة سرعة بتتغيرش في اتجاه ال X VX في T اذا
+
+403
+00:36:01,670 --> 00:36:05,050
+انا امدي ال X بدي V not X هي موجودة معايا تلاتة
+
+404
+00:36:05,050 --> 00:36:10,490
+متر على السكن ال T بدي احسب قيمة ال T من وين بدي
+
+405
+00:36:10,490 --> 00:36:13,840
+احسب قيمة ال Tبدي أجي المعادلات كلها فيها T
+
+406
+00:36:13,840 --> 00:36:16,680
+تقريباً المعادلة الأولى فيها T والمعادلة التانية
+
+407
+00:36:16,680 --> 00:36:20,280
+فيها T والمعادلة ال X فيها T إذا ممكن أجيب ال T من
+
+408
+00:36:20,280 --> 00:36:24,480
+المعادلة التانية لإنه أطاني ال Y إذا بقدر أقول ال
+
+409
+00:36:24,480 --> 00:36:28,920
+Y بيساوي V not Y في T نقص نص GT تربيع ال Y جداش
+
+410
+00:36:28,920 --> 00:36:35,320
+قيمتها سالب واحد واثنين من عشرة وبتساوي سالق ال V
+
+411
+00:36:35,320 --> 00:36:38,300
+not Y في T بتطلع قيمتها Zero لإنه مافيه سرعة من
+
+412
+00:36:38,300 --> 00:36:43,290
+البداية في اتجاه ال Yهنا ناقص نص جي ناقص نص نص
+
+413
+00:36:43,290 --> 00:36:45,690
+تسعة بوين تمانية بيطلع أربعة وتسعة من عشرة في T
+
+414
+00:36:45,690 --> 00:36:48,610
+square من هذه المعادلة اللي بيطلع ال T طبعا في
+
+415
+00:36:48,610 --> 00:36:51,390
+موجة بو سالب السالب مع سالب بيروح الجدر بيعطينا
+
+416
+00:36:51,390 --> 00:36:54,610
+موجة بو سالب طبعا باخد الإشارة مالها الموجة بقى لل
+
+417
+00:36:54,610 --> 00:36:58,880
+timeبقى صار معروف عند الزمن، هاي الزمن معروف،
+
+418
+00:36:58,880 --> 00:37:03,100
+الزمن معروف و V0x معروفة لإن ال X بيساوي V0x في T،
+
+419
+00:37:03,100 --> 00:37:07,500
+ال V0x قيمتها تلتة في السرعة في الزمن اللي طلع
+
+420
+00:37:07,500 --> 00:37:14,020
+معاه بيطلع ال X قيمتها واحد و
+
+421
+00:37:14,020 --> 00:37:19,040
+نص متر تقريباالان المطلوب التاني ال final velocity
+
+422
+00:37:19,040 --> 00:37:23,900
+يعني السرعة عند النقطة final يعني هاي ال initial
+
+423
+00:37:23,900 --> 00:37:29,940
+وهي ال final point ال final point السرعة عندها vx
+
+424
+00:37:29,940 --> 00:37:36,200
+و vy هل كمان مرة ال vx بتتغير ال vx ثابتة قيمتها
+
+425
+00:37:36,200 --> 00:37:38,800
+تلاتة متر على second acceleration اتجاه ال x
+
+426
+00:37:38,800 --> 00:37:43,340
+بتساوي zeroبظل عندى سرعة في اتجاه ال Y بجيب سرعة
+
+427
+00:37:43,340 --> 00:37:47,240
+في اتجاه ال Y من اي معادلة الى اتجاه ال Y والتكن
+
+428
+00:37:47,240 --> 00:37:51,540
+المعادلة الاولى او الاخيرة بس بدى اعرف ان ال VY
+
+429
+00:37:51,540 --> 00:37:55,900
+بتطلع عندى قيمتها بالسالم المعادلة الاولى هي VY
+
+430
+00:37:55,900 --> 00:37:58,120
+بيساوي V not Y ناقص ال G في ال T
+
+431
+00:38:10,630 --> 00:38:15,450
+اذا هنا بيبتدوا هذا بالـ zero ناقص
+
+432
+00:38:16,400 --> 00:38:20,400
+G T 9.8×9.4%
+
+433
+00:38:46,930 --> 00:38:52,410
+الـ Y و التلاتة في اتجاه ال X و يعطيكوا العافية و
+
+434
+00:38:52,410 --> 00:38:56,610
+المحاضرة الجاي بنحاول نكمل هذا ال chapter و نعمل
+
+435
+00:38:56,610 --> 00:39:00,390
+مناقش لل chapter السابقة يعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/phZ24Un_ghE_raw.json b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/phZ24Un_ghE_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..ffdda6b126584803ac662bfebd48b2d601388633
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/phZ24Un_ghE_raw.json
@@ -0,0 +1 @@
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سرعة ابتدائي و سرعة نهائية ثابتة يعني سرعة في أي منطقة بتكون مالها ثابتة يعني سرعة ثابتة إذا ال acceleration بالساوية zero السرعة ثابتة هذا الحد راح لإن ال acceleration بالساوية zero مافيش تغير في السرعة أكسلريشن بالساوية zero ال X", "tokens": [3555, 1829, 9381, 13546, 43242, 2423, 691, 87, 8608, 2288, 27884, 48127, 2655, 3215, 16373, 1829, 4032, 8608, 2288, 27884, 8717, 3224, 16373, 10632, 38637, 16758, 2655, 3660, 37495, 22653, 8608, 2288, 27884, 8978, 36632, 9154, 9566, 28671, 39894, 30544, 3714, 6027, 11296, 38637, 16758, 2655, 3660, 37495, 22653, 8608, 2288, 27884, 38637, 16758, 2655, 3660, 11933, 15730, 2423, 17162, 20666, 3794, 995, 2407, 10632, 4018, 21136, 2288, 27884, 38637, 16758, 2655, 3660, 23758, 21542, 3215, 12602, 39319, 5296, 28814, 1863, 2423, 17162, 20666, 3794, 995, 2407, 10632, 4018, 19446, 41185, 8592, 6055, 17082, 13546, 8978, 21136, 2288, 27884, 5551, 4117, 3794, 1211, 16572, 8592, 1863, 20666, 3794, 995, 2407, 10632, 4018, 2423, 1783], "avg_logprob": 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/phZ24Un_ghE_raw.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/phZ24Un_ghE_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..02892c94769a543493f598e466044220c270511c
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/phZ24Un_ghE_raw.srt
@@ -0,0 +1,1740 @@
+1
+00:00:05,470 --> 00:00:08,190
+السلام عليكم يعطيكوا العافية اليوم ان شاء الله
+
+2
+00:00:08,190 --> 00:00:12,650
+بدنا نحاول نكمل في شبتر تلاتة شبتر تلاتة كنا نتكلم
+
+3
+00:00:12,650 --> 00:00:18,870
+عن حركة في مستوى planar motion لكن الان مثال عليها
+
+4
+00:00:18,870 --> 00:00:21,850
+المثال عليها اللي هي projectile motion انا كنت
+
+5
+00:00:21,850 --> 00:00:26,790
+اتكلم او اخد اتجاهي الحركة في اتجاه ال X و الحركة
+
+6
+00:00:26,790 --> 00:00:32,410
+في اتجاه ال Y محور X و محور Y وجسم يتحرك في مستوى
+
+7
+00:00:32,410 --> 00:00:36,800
+من النقطة A لنقطة بيقولت إيه المراكبة في اتجاه ال
+
+8
+00:00:36,800 --> 00:00:40,640
+X وليه المراكبة في اتجاه ال Y قوانين الحركة ليه
+
+9
+00:00:40,640 --> 00:00:49,780
+التدطير V بتساوي V0 زائد A في T لما بده ال X بدي
+
+10
+00:00:49,780 --> 00:00:55,160
+أحط VX V0X ال acceleration في اتجاه ال X لكن هذه
+
+11
+00:00:55,160 --> 00:00:59,420
+ال T اسكلة لو بده المعادلة التانية في ال X بقول X
+
+12
+00:00:59,420 --> 00:01:13,130
+بالساوية V0X في Tplus AX T2 المعادلة الأخيرة VX2
+
+13
+00:01:13,130 --> 00:01:26,110
+V0 X2 plus 2AX طبعا هي X ناقص X0 بعد X ناقص X0 بس
+
+14
+00:01:26,110 --> 00:01:30,310
+إذا كان بدأ من ال origin بدأ يقول X0 بالساوية Zero
+
+15
+00:01:30,310 --> 00:01:33,530
+هذا في اتجاه ال X في اتجاه ال Y نفس المعادلات اللي
+
+16
+00:01:33,530 --> 00:01:40,960
+عندهv y بتساوي v not y plus a y في t المعادلة
+
+17
+00:01:40,960 --> 00:01:46,600
+التانية y ناقص y not بتساوي v not y في t plus نص a
+
+18
+00:01:46,600 --> 00:01:52,020
+y t المعادلة التالتة اللي هي v y square بتساوي v
+
+19
+00:01:52,020 --> 00:01:59,700
+not y square plus two a y y minus y not طبعا هذا
+
+20
+00:01:59,700 --> 00:02:01,360
+ال x direction
+
+21
+00:02:04,690 --> 00:02:11,350
+وهنا ال Y Direction طبعا في ال X Direction إذا ال
+
+22
+00:02:11,350 --> 00:02:14,050
+acceleration لو أنا قلت ال acceleration قيمتها
+
+23
+00:02:14,050 --> 00:02:19,330
+بيساوي Zero في اتجاه ال X ايش معناتها؟ هنحط هنا Ax
+
+24
+00:02:19,330 --> 00:02:24,610
+بتساوي Zero هذا الحد بيروح هذا الحد بيروح هذا الحد
+
+25
+00:02:24,610 --> 00:02:29,110
+بيروحبيصير عند ال Vx سرعة ابتدائي و سرعة نهائية
+
+26
+00:02:29,110 --> 00:02:33,630
+ثابتة يعني سرعة في أي منطقة بتكون مالها ثابتة يعني
+
+27
+00:02:33,630 --> 00:02:36,390
+سرعة ثابتة إذا ال acceleration بالساوية zero
+
+28
+00:02:36,390 --> 00:02:40,250
+السرعة ثابتة هذا الحد راح لإن ال acceleration
+
+29
+00:02:40,250 --> 00:02:43,550
+بالساوية zero مافيش تغير في السرعة أكسلريشن
+
+30
+00:02:43,550 --> 00:02:47,660
+بالساوية zero ال Xأو الـ Displacement بالساوية
+
+31
+00:02:47,660 --> 00:02:51,240
+السرعة اللي هي قيمتها ثابتة في مين في الزمان هذا
+
+32
+00:02:51,240 --> 00:02:53,900
+الحد بيساوي Zero لأن ال acceleration بيساوي Zero
+
+33
+00:02:53,900 --> 00:02:57,720
+فبيصير في عند V X Square بيساوي V Not X Square
+
+34
+00:02:57,720 --> 00:03:00,780
+وهذا نفس المعادلة الأولى بتبين أن السرعة مالها
+
+35
+00:03:00,780 --> 00:03:05,500
+ثابتة معناه ذلك إذا ال acceleration كانت عنده
+
+36
+00:03:05,500 --> 00:03:08,980
+بالساوية Zero فش تغير في السرعة أما إذا كانت ال
+
+37
+00:03:08,980 --> 00:03:12,100
+acceleration لها قيمة في عنده تغير في مين في
+
+38
+00:03:12,100 --> 00:03:16,080
+السرعةنجي للمثال اللي انا بتطبقه projectile motion
+
+39
+00:03:16,080 --> 00:03:21,600
+projectile motion حركة المقذوفات حركة المقذوفات هي
+
+40
+00:03:21,600 --> 00:03:25,720
+عبارة عن particle بتحرك بمين؟ بالنشر ال velocity
+
+41
+00:03:25,720 --> 00:03:29,680
+بس بتحرك في دو ال dimension في اتجاه ال X و اتجاه
+
+42
+00:03:29,680 --> 00:03:34,420
+ال Y بتحرك في اتجاه ال X و اتجاه ال Y بهذا الشكل
+
+43
+00:03:34,420 --> 00:03:40,560
+هذه
+
+44
+00:03:40,560 --> 00:03:48,910
+حركة المحور Xوين دي محور؟ Why؟اللي هو محور Y أول
+
+45
+00:03:48,910 --> 00:03:52,490
+حاجة بتتعرف على الـ Acceleration الـ Acceleration
+
+46
+00:03:52,490 --> 00:03:55,870
+اللي بتأثر عليه هي Acceleration of Gravity الـ
+
+47
+00:03:55,870 --> 00:03:59,410
+Acceleration of Gravity تايمة اتجاهها لوين؟ إلى
+
+48
+00:03:59,410 --> 00:04:05,950
+أسفل، إذا الأول أنا قلت محور Y فيه Acceleration Ay
+
+49
+00:04:05,950 --> 00:04:13,330
+جدش هتساوي Ay؟ هتساوي سالب جي في مين؟ في اتجاه الـ
+
+50
+00:04:13,330 --> 00:04:18,510
+Yإذا الـ acceleration هنا بدأ تكون في اتجاه الـ Y
+
+51
+00:04:18,510 --> 00:04:21,950
+قيمتها بالساوية سالب ج في إيه؟ في ال direction
+
+52
+00:04:21,950 --> 00:04:26,770
+لمين؟ لل Y طيب هل في عندي acceleration في اتجاه ال
+
+53
+00:04:26,770 --> 00:04:32,890
+X؟ ال acceleration في اتجاه ال X بساوية Zeroمش اي
+
+54
+00:04:32,890 --> 00:04:36,410
+قوة لو قلنا ايش نحمل كل اشهر مثلا acceleration في
+
+55
+00:04:36,410 --> 00:04:39,710
+اتجاه ال Y و في اتجاه ال X قيمتها Zero اذا نفيد
+
+56
+00:04:39,710 --> 00:04:43,330
+اندو اكسلراشن اكسلراشن في اتجاه ال Y و اكسلراشن في
+
+57
+00:04:43,330 --> 00:04:48,260
+اتجاه ال X الاكسلراشن في اتجاه ال Y قيمتهابالساوية
+
+58
+00:04:48,260 --> 00:04:50,880
+سالب جي لكن ال acceleration اللي في اتجاه ال Y
+
+59
+00:04:50,880 --> 00:04:54,500
+قيمتها بالساوية Zero لما اقول كمان مرة ال
+
+60
+00:04:54,500 --> 00:04:57,600
+acceleration اللي في اتجاه ال Y بالساوية Zero
+
+61
+00:04:57,600 --> 00:05:02,440
+مباشرة بيجي ع بالي ان السرعة في اتجاه ال X ما لها
+
+62
+00:05:02,440 --> 00:05:07,260
+سرعة ثابتة لكن ال acceleration في اتجاه ال Y
+
+63
+00:05:07,260 --> 00:05:13,770
+معناته السرعة ما لها متغيرةولاحظوا سلب اتجاه ال Y
+
+64
+00:05:13,770 --> 00:05:17,830
+هي عجلة الجاذبية الأرضية حتشبه اللي أخدناه في
+
+65
+00:05:17,830 --> 00:05:22,190
+نهاية chapter 2 اللي هو ال free falling ال
+
+66
+00:05:22,190 --> 00:05:25,330
+acceleration وين اتجاهها الاسفل اذا هذه ال
+
+67
+00:05:25,330 --> 00:05:29,450
+projectile motion عبارة عن حرفتين دمجتهم مع بعض
+
+68
+00:05:29,450 --> 00:05:33,980
+واحدة في اتجاه ال Xجسم فيها بتحرك بسرعة ثابتة
+
+69
+00:05:33,980 --> 00:05:39,060
+واحدة في اتجاه ال Y جسم رميته لفوقه ايش رميته
+
+70
+00:05:39,060 --> 00:05:43,800
+vertical و بعدين ايش نزل اذا عبارة عن free falling
+
+71
+00:05:43,800 --> 00:05:48,720
+في اتجاه ال Y وعندنا حركة تانية اللي هي عبارة عن
+
+72
+00:05:48,720 --> 00:05:53,680
+constant جسم بتحرك ب constant velocityبدي اشتغل كل
+
+73
+00:05:53,680 --> 00:05:58,460
+محور لحاله يعني ال X direction لحالها و ال Y
+
+74
+00:05:58,460 --> 00:06:02,000
+direction لحاله و اشوف ايش المعادلات كمان مرة بقول
+
+75
+00:06:02,000 --> 00:06:05,900
+اتجاه ال projectile motion ال AX بالساوة زيرو بدي
+
+76
+00:06:05,900 --> 00:06:08,960
+اشتغل المعادلات التلاتي و احط ال AX بالساوة زيرو
+
+77
+00:06:08,960 --> 00:06:13,060
+ايش هيطلع عنده اول معادلة VX بالساوة V0X ايش
+
+78
+00:06:13,060 --> 00:06:19,430
+معناتها قولنا constant constant velocityمعادلة
+
+79
+00:06:19,430 --> 00:06:23,830
+التانية X بيساوي V not X في T لأن هذا الحد ماله
+
+80
+00:06:23,830 --> 00:06:28,870
+راح، إيش هيصير عنده؟ V not X سرعة ثابتة ال
+
+81
+00:06:28,870 --> 00:06:31,970
+displacement بيساوي السرعة في الزمن في ال time أخر
+
+82
+00:06:31,970 --> 00:06:35,510
+معادلة، هذا الحد راح عنده، فصار عنده V X Square
+
+83
+00:06:35,510 --> 00:06:38,250
+بيساوي V not X Square وهذا نفس المعادلة الأولى
+
+84
+00:06:38,250 --> 00:06:41,210
+كأنه سرعة مالها ثابتة، لذا السرعة في اتجاه ال X
+
+85
+00:06:41,210 --> 00:06:46,620
+مقدرها إيش؟ مقدر ثابتنشهد اتجاه ال Y ايش بده احضر
+
+86
+00:06:46,620 --> 00:06:52,540
+بدل ال AY بدل ال AY بده احضر ايش قيمتها سالب G
+
+87
+00:06:52,540 --> 00:06:56,820
+السالب ايش معناته اتجاهها لوين لأسفل احنا قولك اول
+
+88
+00:06:56,820 --> 00:07:01,180
+مرة بننبه في ال vector دايما الاتجاه القيمة السالب
+
+89
+00:07:01,180 --> 00:07:05,220
+او الاشارة السالبة معناته اتجاهها لوين لأسفل لذن
+
+90
+00:07:05,220 --> 00:07:11,060
+بده عاجز اشيل هذه الحد عندهم ال AYو احط محله سالب
+
+91
+00:07:11,060 --> 00:07:14,720
+جي و هذا اشيل و احط محله سالب جي و هذا نفس الاشي و
+
+92
+00:07:14,720 --> 00:07:20,580
+احط سالب جي اش هاسير عنده المعادلة الأولى vy سوة v
+
+93
+00:07:20,580 --> 00:07:27,080
+not y ناقص g في t المعادلة التانيةY-Y0 يكون الـ Y0
+
+94
+00:07:27,080 --> 00:07:30,000
+كان هي الشيء الـ origin اللي أنا بدي منه بيساوي
+
+95
+00:07:30,000 --> 00:07:34,940
+Zero إذاً Y بيساوي V0Y في تين minus نص بدل ال AY
+
+96
+00:07:34,940 --> 00:07:39,560
+حطت سلب G صار عندي ناقص نص GT تربيع VY تربيع
+
+97
+00:07:39,560 --> 00:07:43,340
+بيساوي V0Y تربيع ناقص اتنين جيبه في ال Y إذاً في
+
+98
+00:07:43,340 --> 00:07:45,540
+عندي معادلة لـ projectile motion الآن في عندي
+
+99
+00:07:45,540 --> 00:07:48,840
+حاجتين في عندي اتجاه ال X إلها أو ال horizontal
+
+100
+00:07:48,840 --> 00:07:54,780
+motion أو ال X direction اتجاه ال X وهذه ال Y
+
+101
+00:07:58,560 --> 00:08:02,300
+معادلات ال X-direction بهذا الشكل، لاحظوا الأول
+
+102
+00:08:02,300 --> 00:08:05,940
+والأخير لا تلزمونيش لان سرعة ثابتة عند المعادل
+
+103
+00:08:05,940 --> 00:08:08,500
+اللي في النص اللي بتعبر عن علاقة بين ال
+
+104
+00:08:08,500 --> 00:08:12,300
+displacement وال velocityلكن هنا بلزم من التلت
+
+105
+00:08:12,300 --> 00:08:16,420
+معادلات اشتغل عليهم اذا اول ما يقول في projectile
+
+106
+00:08:16,420 --> 00:08:19,820
+motion في عندى كم من معادلة في عندى اربعة معادلات
+
+107
+00:08:19,820 --> 00:08:23,200
+واحدة في اتجاه ال X اللي هو يعبر عن displacement و
+
+108
+00:08:23,200 --> 00:08:28,820
+التلت معادلات اللي انا عارفهم اللي فيهم خمس مجهيل
+
+109
+00:08:28,820 --> 00:08:32,280
+او خمس قيحجات اللي هو السرعة الابتدائية السرعة
+
+110
+00:08:32,280 --> 00:08:36,310
+النهائية ال acceleration الزمن و ال displacementلأ
+
+111
+00:08:36,310 --> 00:08:39,350
+لو انا استخدمت المعادلات اللي موجود عندى معادلة ال
+
+112
+00:08:39,350 --> 00:08:44,410
+X مع معادلة ال Y و عوضتهم مع بعض حلاجة عندى بطلع
+
+113
+00:08:44,410 --> 00:08:50,170
+لو عوضت معادلة ال X اللي في ال X equation مع ال T
+
+114
+00:08:50,170 --> 00:08:53,630
+مع
+
+115
+00:08:53,630 --> 00:08:59,090
+المعادلة اللي في اتجاه ال Y بحصل على equation لل
+
+116
+00:08:59,090 --> 00:09:08,440
+Parabolaاللي هي y مستوى v0 tan θ في x minus اللي
+
+117
+00:09:08,440 --> 00:09:13,540
+هو g على اتنين v0 square cosine square theta x
+
+118
+00:09:13,540 --> 00:09:18,500
+تربيع إذا المسار اللي هيمشي فيه هذا الجسم هو مسار
+
+119
+00:09:18,500 --> 00:09:19,960
+ماله برابولة
+
+120
+00:09:28,490 --> 00:09:33,970
+السرعة الابتدائية اللي
+
+121
+00:09:33,970 --> 00:09:39,410
+انا رميت فيها الجسم V0 و بتعمل زاوية مقدارها مالها
+
+122
+00:09:39,410 --> 00:09:43,290
+ثيتا لو انا رميت الزاوية مقدارها Zero فالضرر مش زي
+
+123
+00:09:43,290 --> 00:09:47,010
+هيك عادل و بعدين بتنزل لكن انا الان اشمال رامي
+
+124
+00:09:47,010 --> 00:09:51,920
+زاوية مقدارها ثيتاالسرعة متجهة إذا أنا مراكز في
+
+125
+00:09:51,920 --> 00:09:56,000
+اتجاه ال X و مراكز في اتجاه ال Y إذا بقدر أقول هنا
+
+126
+00:09:56,000 --> 00:10:06,880
+في عند V not X V سرعة not ابتدائية في اتجاه محور X
+
+127
+00:10:06,880 --> 00:10:17,020
+هنا بنفس الكيفية في عند V not YV not سرعية
+
+128
+00:10:17,020 --> 00:10:21,940
+ابتدائية في اتجاه محور Y لاحظوا انه الان كأنه في
+
+129
+00:10:21,940 --> 00:10:26,960
+اندي جسم الجسم رمته في اتجاه ال X رمته في اتجاه من
+
+130
+00:10:26,960 --> 00:10:32,100
+ال Y هنا لما رمته في اتجاه ال Y هيطلعه ايش هيطلعه
+
+131
+00:10:32,100 --> 00:10:36,280
+يعود ينزل اتجاه ال X كأنه بيحركه في اتجاه ال X
+
+132
+00:10:36,280 --> 00:10:41,330
+فبيصير شكلها شكل برابولة بهذا الشكلطيب في أي منطقة
+
+133
+00:10:41,330 --> 00:10:44,910
+موجودة عندى، المنطقة هذه مثلا، النقطة التانية، في
+
+134
+00:10:44,910 --> 00:10:51,790
+عندى سرعة في اتجاه ال X و سرعة في اتجاه ال Y، VX و
+
+135
+00:10:51,790 --> 00:10:58,770
+VYطيب السؤال اللي بطرح نفسه ايش الفرق بين V0x و Vx
+
+136
+00:10:58,770 --> 00:11:06,450
+V0x و Vx ما لهم متساويات اتنتين ايش نفس القيمة طيب
+
+137
+00:11:06,450 --> 00:11:12,450
+لو جيت للنقطة اللي عاجبالها تماما هنا اتجاه السرعة
+
+138
+00:11:12,450 --> 00:11:16,230
+هنا دايما موازي مقاس مماس لمين
+
+139
+00:11:19,250 --> 00:11:24,410
+للمحور، لذن هي مماس للمنحنة، هنا هيكون عندى مماس
+
+140
+00:11:24,410 --> 00:11:33,900
+للمنحنةفي مركبة VX و VY التنتين النقطين متشابهة
+
+141
+00:11:33,900 --> 00:11:39,200
+عاجبال بعض تماما الاختلاف الوحيد اللي بينهم VX نفس
+
+142
+00:11:39,200 --> 00:11:43,940
+ال VX لكن ال VY اتجاه الأعلى ال VY هنا اتجاه
+
+143
+00:11:43,940 --> 00:11:48,180
+الأسفل ال VY هذه قيمتها لو انا حسبتها بالموجب لو
+
+144
+00:11:48,180 --> 00:11:52,080
+انا حسبتها هذه هتطلع معايا ايش بالسالب تماما اطلع
+
+145
+00:11:52,080 --> 00:11:58,350
+هنا VYالى أعلى و هنا VY لمن؟ الى أسفل أخدناها في
+
+146
+00:11:58,350 --> 00:12:02,590
+نهاية chapter 2 التنتين مالهم متساويات بس واحد
+
+147
+00:12:02,590 --> 00:12:05,550
+اتجاه الأعلى معناتها موجب لأن اتجاه الأعلى هو
+
+148
+00:12:05,550 --> 00:12:10,490
+الموجب الاتجاه الأعلى هو الموجب والاتجاه الأسفل هو
+
+149
+00:12:10,490 --> 00:12:16,510
+السالب اليمين هو الموجب اليسار هو السالبالان لو
+
+150
+00:12:16,510 --> 00:12:22,510
+جيت للنقطة هذه النقطة اللي هنا هذه النقطة بتعبر عن
+
+151
+00:12:22,510 --> 00:12:29,270
+مين؟ عن اقصى ارتفاع بسميها H maximum اقصى ارتفاع
+
+152
+00:12:29,270 --> 00:12:35,490
+عنده ايش بيكون فيه؟ بيكون في السرعة هنا اتجاهها
+
+153
+00:12:35,490 --> 00:12:42,030
+فقط في اتجاه مينهل في سرعة عندك في اتجاه ال Y؟
+
+154
+00:12:42,030 --> 00:12:47,270
+السرعة في اتجاه ال Y قيمتها كم؟ Zero كأن الحركة
+
+155
+00:12:47,270 --> 00:12:51,910
+فقط او السرعة عند هذه النقطة اتجاهها في اتجاه ال X
+
+156
+00:12:53,060 --> 00:12:56,960
+كأنها واصل إلى أقصى ارتفاع اقصى ارتفاعي الذاكرين
+
+157
+00:12:56,960 --> 00:13:03,600
+VY بتساوي اكم Zero عند أقصى ارتفاع VY بتساوي Zero
+
+158
+00:13:03,600 --> 00:13:07,880
+الان انا بمعرفتي ممكن الخص الكلام اللي انا قلته
+
+159
+00:13:07,880 --> 00:13:13,240
+على هذا المنحنةعلى هذا المنحنى اللى موجود عندى هنا
+
+160
+00:13:13,240 --> 00:13:16,840
+اول حاجة ال acceleration في اتجاه ال X بالساوية
+
+161
+00:13:16,840 --> 00:13:20,820
+Zero ال acceleration في اتجاه ال Y هي السالب G
+
+162
+00:13:20,820 --> 00:13:25,160
+واتجاهها في اتجاه ال Y عندى انا صراعه ابتدائية
+
+163
+00:13:25,160 --> 00:13:28,780
+صراعه ابتدائية بتعمل زاوية مقدرها Theta من خلال
+
+164
+00:13:28,780 --> 00:13:33,000
+الزاوية Theta باتبع المتجهات و بحلل بلاغ الاتجاه
+
+165
+00:13:33,000 --> 00:13:38,270
+عندى في اتجاه ال X V0 X و هنا V0 Yفي نوت Y عند
+
+166
+00:13:38,270 --> 00:13:42,190
+أقصى ارتفاع أقصى ارتفاع فيكون ال VY بالساوة Zero
+
+167
+00:13:42,190 --> 00:13:45,670
+يعني لو سأل سؤال في اختيار متعدد عند أقصى ارتفاع
+
+168
+00:13:45,670 --> 00:13:49,310
+السرعة بالساوة Zero هل هذا الكلام صح ولا لأعند
+
+169
+00:13:49,310 --> 00:13:55,590
+أقصى ارتفاع السرعة بتساوي 0 لأ مش صح ال VY هي اللي
+
+170
+00:13:55,590 --> 00:14:00,670
+بتساوي 0 لكن VX مالها قلنا دائما قيمتها إيش قيمتها
+
+171
+00:14:00,670 --> 00:14:06,530
+ثابتة VX هنا قيمتها ثابتة VX هنا قيمتها ثابتة VX
+
+172
+00:14:06,530 --> 00:14:12,450
+النهائية بتساوي VX إيش V0X لكن مين اللي بتغير هي
+
+173
+00:14:12,450 --> 00:14:19,900
+ال VY لو سألت ال VY عندي نقطة هادرة هتكون مالهاVY
+
+174
+00:14:19,900 --> 00:14:24,880
+هي مساوية لقيمة الـ V not Y لكن ايش اللي هتختلف
+
+175
+00:14:24,880 --> 00:14:28,840
+الإشارتها هذه إلى أعلى موجبة هذه لو انا جيت حسبتها
+
+176
+00:14:28,840 --> 00:14:34,720
+هتطلع إشارتها مالها بالسلب لو أنا بدي أخد أبدأ حل
+
+177
+00:14:34,720 --> 00:14:40,700
+هذا المنطقة هذه المنطقة هي الـ H maximum طيب هذه
+
+178
+00:14:40,700 --> 00:14:44,820
+المنطقة من نقطة البداية لنقطة النهاية ايش بسميها
+
+179
+00:14:44,820 --> 00:14:52,330
+بسميها ال rangeو برموزها بالرمز R إذاً ال range
+
+180
+00:14:52,330 --> 00:14:57,970
+اللي هو ال R H maximum اللي هو أقصى التفاع لو أنا
+
+181
+00:14:57,970 --> 00:15:04,210
+حسبت الزمنمتوقعين الزمن يطلع عند أقصى ارتفاع الزمن
+
+182
+00:15:04,210 --> 00:15:07,570
+اللي هنا من نقطة البداية لأقصى ارتفاع مش متوقعين
+
+183
+00:15:07,570 --> 00:15:12,730
+يطلع هيطلع معاه نفس الزمن من أقصى ارتفاع لمين لما
+
+184
+00:15:12,730 --> 00:15:16,830
+يصل ل Y بالساوة 0 في مرحلة بدأ أقولها Y هنا
+
+185
+00:15:16,830 --> 00:15:21,570
+بالساوية كم؟ Zero كذلك X بالساوية Zero هي ال
+
+186
+00:15:21,570 --> 00:15:26,690
+origin لما أصل هنا X عبارة عن ال range لكن Y
+
+187
+00:15:26,690 --> 00:15:35,730
+قيمتها كم؟ Zeroطيب لو جيت للمنطقة هذه وي ايش في
+
+188
+00:15:35,730 --> 00:15:40,070
+الموجة ولا في السلب عند
+
+189
+00:15:40,070 --> 00:15:46,410
+النقطة اللي هي سميها ايه نجي اول حاجة ايش الموجة
+
+190
+00:15:46,410 --> 00:15:51,090
+وايش السلب في وي عندها موجة ولا سلب اتجاهها الى
+
+191
+00:15:51,090 --> 00:16:01,200
+اين الى اعلى في الموجة في عند النقطة at pointاي VY
+
+192
+00:16:01,200 --> 00:16:09,220
+بالساوية positive طيب ال Y اللي هنا هذا هي ال Y ال
+
+193
+00:16:09,220 --> 00:16:15,660
+Y كمان positive لكن ال acceleration وين اتجاهها ال
+
+194
+00:16:15,660 --> 00:16:24,540
+AY دائما ايش سالب G لأنه اتجاهها لوين الاسفل طيب
+
+195
+00:16:24,540 --> 00:16:28,740
+وقت ايش وين بتكون ال Y بالساوية
+
+196
+00:16:30,240 --> 00:16:37,380
+بالسالب ال Y بالسالب هاي ال VY ال Y بالساوي Zero
+
+197
+00:16:37,380 --> 00:16:42,320
+كل حاجة فوقيها موجة بقى كل حاجة تحتها أيش بالسالب
+
+198
+00:16:42,320 --> 00:16:47,740
+يعني لو بدل جسم ينزل لتحت في هذه الحالة عند النقطة
+
+199
+00:16:47,740 --> 00:16:56,440
+C at point C بتكون Y إيش ما لها قيمتها سالبة
+
+200
+00:16:59,420 --> 00:17:06,280
+طيب السرعة هنا Vx موجة ما هو نفس ال V not X لكن ال
+
+201
+00:17:06,280 --> 00:17:12,160
+Vy اللي هنا بتطلع قيمتها بالسالم طيب لو سألت سؤال
+
+202
+00:17:12,160 --> 00:17:19,880
+كيف بدي أعرف الجسم اصطدم رميت انا حاجة اصطدم في أي
+
+203
+00:17:19,880 --> 00:17:26,690
+اشي في شباك في باب في اي ..في عمود الان لما صدم هل
+
+204
+00:17:26,690 --> 00:17:30,430
+الصدم هو طالع ولا هو نازل يعني لو قلت ان انا في
+
+205
+00:17:30,430 --> 00:17:35,130
+عين عمود طوله مترين المترين ممكن يكونوا هنا و ممكن
+
+206
+00:17:35,130 --> 00:17:41,570
+يكونوا هنا يعني ممكن يكون قبل اقصر ارتفاع و ممكن
+
+207
+00:17:41,570 --> 00:17:48,310
+يكون بعد اقصر ارتفاعهل هو الصدم في هذا العمود و هو
+
+208
+00:17:48,310 --> 00:17:57,710
+صاعد ولا هو نازل بروح أحسب ال VY إذا ال VY كانت
+
+209
+00:17:57,710 --> 00:18:02,210
+قيمتها بالموجب طلعت معايا معناته الصدم فيه و هو
+
+210
+00:18:02,210 --> 00:18:08,290
+صاعد إذا ال VY طلعت معايا قيمتها بالسالب بيكون
+
+211
+00:18:08,290 --> 00:18:14,130
+الصدم في العمود و هو نازلإذا الإشارة مهمة بتبين
+
+212
+00:18:14,130 --> 00:18:18,170
+المكان كمان هل الصدمة وصاعد الصدمة و هو لازم ممكن
+
+213
+00:18:18,170 --> 00:18:21,830
+تحسبها عن طريق حاجة تانية الزمن احنا الزمن قلنا
+
+214
+00:18:21,830 --> 00:18:26,550
+نصفين متمثلة تحسب للزمن اللي هنا زمن أقصر ارتفاع و
+
+215
+00:18:26,550 --> 00:18:32,070
+تشوف الزمن بيطلع أقل من زمن أقصر ارتفاع ولا أكثر
+
+216
+00:18:32,070 --> 00:18:36,380
+من زمن أقصر ارتفاع إذا كانأقل من زمن أقصر ارتفاع
+
+217
+00:18:36,380 --> 00:18:40,440
+بيكون و هو ساعد أكثر من زمن أقصر ارتفاع بيكون و هو
+
+218
+00:18:40,440 --> 00:18:45,640
+نازل أو ممكن تحسبها عن طريق ال X نص ال range هنا
+
+219
+00:18:45,640 --> 00:18:49,740
+بيكون نص ال range أكبر من نص ال range و هو نازل
+
+220
+00:18:49,740 --> 00:18:55,620
+أقل من نص ال range و هو ساعد بيجي نطبق مثال على
+
+221
+00:18:55,620 --> 00:18:59,120
+هالكلام اللي قلناه و المعلومات اللي أخدناها و نشوف
+
+222
+00:18:59,120 --> 00:19:04,050
+هذا المثال كيف أنا بدي أحلهالأن ناخد example على
+
+223
+00:19:04,050 --> 00:19:06,350
+الكلام اللي قلناه ال example بيقول فين ال
+
+224
+00:19:06,350 --> 00:19:12,010
+projectile انطلق من point A من ال origin و with
+
+225
+00:19:12,010 --> 00:19:18,250
+initial speed V0 عنده بتعمل زاوية قيمتها اللي هي
+
+226
+00:19:18,250 --> 00:19:20,550
+كمان واضحة في الشكل نشوف الشكل اللي موجود عندنا
+
+227
+00:19:20,550 --> 00:19:28,570
+هنا زاوية 60 هاي و هذا السؤال نفسه هذه الزاوية من
+
+228
+00:19:28,570 --> 00:19:39,160
+ال origin قيمتها 60و بسرعة ابتدائية قيمتها V0 لأ
+
+229
+00:19:39,160 --> 00:19:46,160
+لأ عيد عيد من و أجيب 26 سراحة انا اشطفه اشطفه بس و
+
+230
+00:19:46,160 --> 00:19:52,220
+أنا مثال بعدين عند
+
+231
+00:19:52,220 --> 00:19:53,900
+exam نبدأ ابدأ
+
+232
+00:19:56,660 --> 00:20:02,000
+تطبيق على الكلام اللي احنا قلناه حركة المغطوفات
+
+233
+00:20:02,000 --> 00:20:06,300
+بتمثل بهذا الشكل اللي قبل اللي شوفناه الآن هذا
+
+234
+00:20:06,300 --> 00:20:12,380
+الشكل لحركة projectile بتبدأ من ال origin من ال
+
+235
+00:20:12,380 --> 00:20:18,600
+origin وبتمشي لما تصل ل y بالساوية zero لما تصل
+
+236
+00:20:18,600 --> 00:20:24,220
+لنفس ال range بدي احسب h maximum وبيحسب قيمة ال
+
+237
+00:20:24,220 --> 00:20:32,100
+rangeأول حاجة ايش المعطيات اللي عندي find او
+
+238
+00:20:32,100 --> 00:20:38,560
+المطلوب من find maximum height h maximum ومطلوب
+
+239
+00:20:38,560 --> 00:20:42,140
+عندي احسب ال range ال horizontal range اللي هو a
+
+240
+00:20:42,140 --> 00:20:45,320
+حركة
+
+241
+00:20:45,320 --> 00:20:48,920
+المقضوفات بهذا الشكل كمان مارا نرسمها ممكن تكون
+
+242
+00:20:48,920 --> 00:20:49,660
+أوضح هنا
+
+243
+00:20:52,360 --> 00:20:57,900
+عندى محورين محور Y كمان مرة بقول ومحور X عشان
+
+244
+00:20:57,900 --> 00:21:02,020
+ماأنساش دايما انه في عندى ال acceleration اللى في
+
+245
+00:21:02,020 --> 00:21:07,020
+اتجاه ال X بتساوي Zero لكن ال acceleration اللى في
+
+246
+00:21:07,020 --> 00:21:13,340
+اتجاه ال Y Ay هي سالب G وبستخدم معادلات اللي عوضت
+
+247
+00:21:13,340 --> 00:21:19,260
+عنها بسالجي سرعة ابتدائية هنا initial velocity V0
+
+248
+00:21:19,260 --> 00:21:25,650
+وزاوية مقدرها θمباشرة بقى يا جماعة اقول في عندنا
+
+249
+00:21:25,650 --> 00:21:34,190
+V0X V0X
+
+250
+00:21:34,190 --> 00:21:40,650
+بتساوي V0 Cos زاوية متجة محللة في مراكبة سينية
+
+251
+00:21:40,650 --> 00:21:51,940
+ومراكبة صادرية V0Y بساوي V0 Sin θطلب عند أقصى
+
+252
+00:21:51,940 --> 00:21:59,120
+ارتفاع هي أقصى ارتفاع هذا هو الـ H maximum إيش عند
+
+253
+00:21:59,120 --> 00:22:02,760
+نقطة يعني بلزم ال initial point و ال final point
+
+254
+00:22:02,760 --> 00:22:10,960
+ال final point عند H maximum في VY بتساوي 0 لكن في
+
+255
+00:22:10,960 --> 00:22:16,200
+VX قيمتها مالها قيمتها ثابتة طب لو سألت سؤال ال
+
+256
+00:22:16,200 --> 00:22:18,920
+acceleration عند أقصى ارتفاع جداش قيمتها
+
+257
+00:22:20,000 --> 00:22:22,940
+acceleration and اقصى ارتفاع ال acceleration and
+
+258
+00:22:22,940 --> 00:22:27,900
+اقصى ارتفاع دائما قيمتها ياش ثابتة قيمتها جديش
+
+259
+00:22:27,900 --> 00:22:31,420
+اللي هي acceleration of gravity اللي هي تسعة point
+
+260
+00:22:31,420 --> 00:22:34,900
+تمانية يعني لو قولنا ال acceleration اجاكس الوقت
+
+261
+00:22:34,900 --> 00:22:38,480
+acceleration and اقصى ارتفاع ال acceleration and y
+
+262
+00:22:38,480 --> 00:22:42,060
+بالساوة zero ال acceleration and y بالساوة سالب
+
+263
+00:22:42,060 --> 00:22:48,540
+دائما قيمتها ياش نفس القيمةطب هي من هذه المعطيات
+
+264
+00:22:48,540 --> 00:22:54,100
+اذا اول حاجة حللت V0 X وجبت قيمتها V0 Cos الزاوية
+
+265
+00:22:54,100 --> 00:22:59,380
+وجبت V0 Y وجبت قيمتها V0 Sin الزاوية ليش انا جبت
+
+266
+00:22:59,380 --> 00:23:02,180
+تجاه ال X؟ بدي اشتغل في تجاه ال X لحاله وتجاه ال Y
+
+267
+00:23:02,180 --> 00:23:07,680
+لحاله نيجي لما احسب اقصر تفعيل نرجع للمعادلات
+
+268
+00:23:07,680 --> 00:23:11,460
+التلاتي اللي موجودة عندنا مين فيها ال Y يا
+
+269
+00:23:11,460 --> 00:23:13,040
+المعادلة التانية
+
+270
+00:23:17,100 --> 00:23:21,820
+هي المعادلة التالتة نجي للمعادلة التانية هنا و
+
+271
+00:23:21,820 --> 00:23:27,940
+أستخدمها ال معادلة
+
+272
+00:23:27,940 --> 00:23:31,880
+التالتة أسف المعادلة التالتة و أستخدمها vy2 بيساوي
+
+273
+00:23:31,880 --> 00:23:38,400
+v not y2 minus 2 g في ال y الان vy قلنا ال vy قداش
+
+274
+00:23:38,400 --> 00:23:45,560
+قيمتها vy بيساوي zero لذا ال vy راحتV0Y V0Y هي
+
+275
+00:23:45,560 --> 00:23:51,620
+عبارة عن V0 Sine Theta V0 Sine Theta Square لأن
+
+276
+00:23:51,620 --> 00:23:57,200
+V0Y Square Minus 2G في H في الـ H اللي أنا بدور
+
+277
+00:23:57,200 --> 00:24:02,940
+عليها اللي هي الـ H maximum منها مباشرة بننجل هذا
+
+278
+00:24:02,940 --> 00:24:06,920
+على الطرف التاني و بجسم على 2G بطلع الـ H maximum
+
+279
+00:24:06,920 --> 00:24:11,840
+هيقيمتها V0 Square Sine Square Theta على 2G حسبت
+
+280
+00:24:11,840 --> 00:24:16,900
+الـ H maximumالان بدى احسب ال range ال range عبارة
+
+281
+00:24:16,900 --> 00:24:20,600
+عن محور مين؟ محور X كان من المعادلة في محور X
+
+282
+00:24:20,600 --> 00:24:26,180
+مباشرة بتيجي على باله X بالساوية V0 X في H في T و
+
+283
+00:24:26,180 --> 00:24:32,740
+X بالساوية V0 X صارت معروف عند V0 Cos θ في Tأيش
+
+284
+00:24:32,740 --> 00:24:37,040
+بيضل أحدد قيمة الـ T؟ من وين بيحدد قيمة الـ T؟ من
+
+285
+00:24:37,040 --> 00:24:41,980
+محور Y المحور Y هي المعادلة اللي فيها T هي
+
+286
+00:24:41,980 --> 00:24:45,640
+المعادلة الأولى هي المعادلة التانية المعادلة
+
+287
+00:24:45,640 --> 00:24:51,100
+التانية Y بالساوية V not Y في T إذا باجي للمعادلة
+
+288
+00:24:51,100 --> 00:24:55,720
+التانية Y بالساوية V not Y في T وبطلع منها T
+
+289
+00:24:55,720 --> 00:25:02,100
+وبعوضه هنا في هذه المعادلة إذا حيصير عندهY بيساوي
+
+290
+00:25:02,100 --> 00:25:08,140
+V Not Y في T ماينوس نص GTT Square و Y قيمتها Zero
+
+291
+00:25:08,140 --> 00:25:13,280
+لأنه بيتكلم على ال range الآن ال range هيه Y
+
+292
+00:25:13,280 --> 00:25:19,080
+بتساوي Zero Y بتساوي Zero مافيش إذاحة في اتجاه ال
+
+293
+00:25:19,080 --> 00:25:25,000
+Y من ال origin و رجع لمين لنفس المستوى اللي موجود
+
+294
+00:25:25,000 --> 00:25:28,960
+عليه إذا اللي زاحة في اتجاه ال Y قيمتها0 V0Y باعوض
+
+295
+00:25:28,960 --> 00:25:35,920
+عنها V0 Sine Theta في T minus نص G T تربيع بجسم
+
+296
+00:25:35,920 --> 00:25:41,860
+على ال T على ال T على ال T بطلع عنده Zero بالساوية
+
+297
+00:25:41,860 --> 00:25:47,520
+V0 Sine Theta minus نص G T تروح ال T ال square و
+
+298
+00:25:47,520 --> 00:25:53,020
+منها بانجل هذا على الطرف التاني و بطلع قيمة قيمة
+
+299
+00:25:53,020 --> 00:26:01,170
+اللي هو الزمن هذا الزمنلكل المرحلة من بدايتها لين
+
+300
+00:26:01,170 --> 00:26:07,090
+لنهايتها لأن رجع صار الزمن معروف عندي بقى أشيل هذا
+
+301
+00:26:07,090 --> 00:26:13,170
+الـ T و بحط محله القيمة اللي طلعت معايا ل2 V0 sin
+
+302
+00:26:13,170 --> 00:26:26,880
+θ على G بيصير ال range قيمته 2 V0 و V0 V0²سين ثيتا
+
+303
+00:26:26,880 --> 00:26:32,640
+وكسين ثيتا على G طبعا معروف انه اتنين سين ثيتا
+
+304
+00:26:32,640 --> 00:26:40,340
+كسين ثيتا هي تبثل سين اتنين ثيتا بشيلها و بعوض
+
+305
+00:26:40,340 --> 00:26:46,380
+عنها بسين اتنين ثيتا بطلع ال range قيمته V not
+
+306
+00:26:46,380 --> 00:26:53,320
+square سين اتنين ثيتا على G نجي الان ناخد لنا مثال
+
+307
+00:26:53,320 --> 00:26:59,750
+بالارقامأحنا اخدنا مثال بصورة رموز لكن لو انا
+
+308
+00:26:59,750 --> 00:27:02,910
+اخترت القيام كنت لاجي الصورة على ابتدائي عشرة زوى
+
+309
+00:27:02,910 --> 00:27:10,890
+ستين اقصرت في عداش قيمته انطلق من منطقة من بنية من
+
+310
+00:27:10,890 --> 00:27:15,490
+الأرض من Y بيستو Zero و بدأ ابدأ اشتغل و احدد قيام
+
+311
+00:27:15,490 --> 00:27:20,510
+المثال
+
+312
+00:27:20,510 --> 00:27:24,770
+موجود عند بيقولفي اندي بروجيكتايل أي ان كان هذه
+
+313
+00:27:24,770 --> 00:27:33,610
+كرة رميتها بزاوية من
+
+314
+00:27:33,610 --> 00:27:39,610
+top of building ارتفاعه جديش تلاتين متر ارتفاع ال
+
+315
+00:27:39,610 --> 00:27:41,150
+building كان تلاتين متر
+
+316
+00:27:43,810 --> 00:27:48,530
+إذا أنا رميتها upward بسرعة قيمتها خمسة و عشرين
+
+317
+00:27:48,530 --> 00:27:53,050
+speed خمسة و عشرين meter per second و بتعمل زاوية
+
+318
+00:27:53,050 --> 00:27:57,530
+قيمتها سبعة و تلاتين هي للتوضيح سبعة و تلاتين درجة
+
+319
+00:27:57,530 --> 00:28:00,550
+بد
+
+320
+00:28:00,550 --> 00:28:06,610
+تحسب what is the time of flight زمان الطيران لما
+
+321
+00:28:06,610 --> 00:28:16,780
+تصلى وين تصلى الأرضبطلعت زي هيك و نزلت للأرض بدي
+
+322
+00:28:16,780 --> 00:28:21,220
+احسب الزمان المطلوب التاني نشوفه بعد ما نخلص
+
+323
+00:28:21,220 --> 00:28:24,700
+المطلوب الاول ايش بدي احسب الزمان اول حاجة السرعة
+
+324
+00:28:24,700 --> 00:28:28,220
+خمسة و عشرين هيها هي المحاور اللي بدي اخدها من
+
+325
+00:28:28,220 --> 00:28:34,260
+البناية هي البناية هي محور X وهي محور Y و انا
+
+326
+00:28:34,260 --> 00:28:40,420
+رميتها بزاوي زي هيكهذه السرعة V0 بساوية خمسة و
+
+327
+00:28:40,420 --> 00:28:44,580
+عشرين متر per second هذا الزاوية عنده قيمتها سبعة
+
+328
+00:28:44,580 --> 00:28:50,840
+و تلاتين درجة قولت محور X و محور Y هتقول هنا نفس
+
+329
+00:28:50,840 --> 00:28:57,740
+الكلام V0 X بساوية V0 Cos الزاوية ثيتا و هي خمسة و
+
+330
+00:28:57,740 --> 00:29:03,750
+عشرين Cos السبعة و تلاتينV not X صارت معروفة
+
+331
+00:29:03,750 --> 00:29:10,790
+قيمتها V not Y هتقول هنا V not Y بتساوي V not sin
+
+332
+00:29:10,790 --> 00:29:19,850
+θ V not sin 37 طبعا لما تيجي تحسبها هنا هتطلع
+
+333
+00:29:19,850 --> 00:29:26,560
+تقريبا عشرين مترع السكن لما تحسبها هنا هتطلع عندك
+
+334
+00:29:26,560 --> 00:29:30,640
+تقريبا 15 متر per second إذا صار عند ال V not X
+
+335
+00:29:30,640 --> 00:29:36,400
+معروف قيمتها 20 V not Y قيمتها صارت معروفة 15 متر
+
+336
+00:29:36,400 --> 00:29:41,360
+per second متر per second هاي أول معطة ماأنساش أن
+
+337
+00:29:41,360 --> 00:29:45,580
+ال acceleration في اتجاه ال X مش هم تنساش ال Ax
+
+338
+00:29:45,580 --> 00:29:48,980
+دايما بالساوة Zero ال acceleration في اتجاه ال Y
+
+339
+00:29:48,980 --> 00:29:54,260
+اللي هو acceleration of gravityالان بدى احسب الزمن
+
+340
+00:29:54,260 --> 00:30:01,180
+ال Y عندى هنا ال Y بتساوي Zero فوجيها موجة بتحتيها
+
+341
+00:30:01,180 --> 00:30:06,500
+بالسالب اذا ال Y هنا جدش ارتفاع البناية تلاتين
+
+342
+00:30:06,500 --> 00:30:10,960
+اخدها بالموجة اقبلها بالسالب هاخدها سالب تلاتين
+
+343
+00:30:10,960 --> 00:30:16,000
+لان ازاحة اتجاهها لوين الاسفل السالب هذا ازاحة
+
+344
+00:30:16,000 --> 00:30:21,420
+اتجاهها لوين الاسفل سالب تلاتين متر الان لما نجي
+
+345
+00:30:21,420 --> 00:30:26,460
+نعوضيمكن صارت معطيات عندى واضحة مكثيرة جدا ممكن
+
+346
+00:30:26,460 --> 00:30:30,800
+استفيد منها واطلع الحاجات المجهولة بتطلع الزمن عند
+
+347
+00:30:30,800 --> 00:30:36,100
+معطل Y وعند V0Y وعند ال acceleration في اتجاه Y
+
+348
+00:30:36,100 --> 00:30:40,340
+واذا ذاكرين قولنا اذا عرفت تلت أشياء بقدر أجيب
+
+349
+00:30:40,340 --> 00:30:46,950
+الحاجات المتبقيةإذا لو جيت للمعادلة تبعتي ال Y Y
+
+350
+00:30:46,950 --> 00:30:53,890
+بالساوي V not Y في T minus نص جيت تربيع Y قيمتها
+
+351
+00:30:53,890 --> 00:31:04,270
+minus وقولنا minus ليش لأن هوين إزاحة جاها لوين أو
+
+352
+00:31:04,270 --> 00:31:09,550
+الإزاحة لوين كانت لأسفل minus تلاتين بتساوي V not
+
+353
+00:31:09,550 --> 00:31:11,090
+Y ما طلعنا ال V not Y
+
+354
+00:31:36,360 --> 00:31:39,200
+طبعا ممكن يطلع حلين عندى لما حلها في المعادلة
+
+355
+00:31:39,200 --> 00:31:41,440
+التربية طبعا ال time دايما ماله
+
+356
+00:31:44,150 --> 00:31:51,070
+النجاتف طبعا بحمله لأن مافيش حال بالنجاتف لزمان
+
+357
+00:31:51,070 --> 00:31:56,290
+بالنجاتف الان المطلوب التاني المطلوب التاني بدي
+
+358
+00:31:56,290 --> 00:32:02,170
+ايش احسب وين بتجع من البناية من ال ground و بعدين
+
+359
+00:32:02,170 --> 00:32:06,730
+المطلوب التالت بدي احسب ال speed اللي وصلت فيه
+
+360
+00:32:06,730 --> 00:32:11,510
+الأرضقبل ما تسلطن بالأرض مباشرة جديش جانب لسبيل
+
+361
+00:32:11,510 --> 00:32:15,830
+إذا في عندي مطلوبين المطلوب التاني اللي هو ال X
+
+362
+00:32:15,830 --> 00:32:20,350
+معدلة ال X X مش هتلاقى معدلة واحدة في اتجاه ال X
+
+363
+00:32:20,350 --> 00:32:26,310
+اللي هي V not X في TT طلعتها من حسب الزمن وعند ال
+
+364
+00:32:26,310 --> 00:32:30,790
+V0x هي قيمتها ال V0x من البداية معطة في الزمن اللي
+
+365
+00:32:30,790 --> 00:32:35,470
+طلع معايا بطلع عند جداش قيمتها 88 متر يعني من هنا
+
+366
+00:32:35,470 --> 00:32:43,910
+لهنا هتكون 88.8 متر المطلوب الأخير بدي ال final
+
+367
+00:32:43,910 --> 00:32:53,210
+speed لاحظوا طلب speed لذا بدي Vx وVy
+
+368
+00:32:54,040 --> 00:33:02,740
+واجيب ال magnitude للتانين جدر Vx² زي Vy² Vx هل
+
+369
+00:33:02,740 --> 00:33:09,060
+بتتغير Vx قيمتها مالها ثابتة اذا بتساوي قدش طلعت
+
+370
+00:33:09,060 --> 00:33:13,780
+عنده 20 متر على السكن مين بيضل احسبها احسب ال Vy
+
+371
+00:33:13,780 --> 00:33:18,520
+من المعادلة اللي تكون المعادلة الأولى بطلع ال Vy
+
+372
+00:33:18,520 --> 00:33:23,710
+ال Vy بيساوي V not Y نقص G في T Vy بيساويv0y معروف
+
+373
+00:33:23,710 --> 00:33:27,030
+قيمتها ناقص جي 9.8 في ال T اللي انا حسبته من
+
+374
+00:33:27,030 --> 00:33:33,230
+الفداية بطلع اشارت بطلع قيمتها minus 28.5 اشارة ال
+
+375
+00:33:33,230 --> 00:33:38,250
+minus كمان اتجاه ايش معناتها اتجاهها لأسفل ده لذن
+
+376
+00:33:38,250 --> 00:33:44,710
+هي اتجاهها لأسفلحسبت ال Vx و Vy إذا السرعة كـ
+
+377
+00:33:44,710 --> 00:33:48,450
+Velocity مدة المراكبة السينية و المراكبة الصادية
+
+378
+00:33:48,450 --> 00:33:52,910
+المراكبة السينية هل بتتغير قيمتها ثابتة المراكبة
+
+379
+00:33:52,910 --> 00:33:59,390
+الصادية طلعت عنده 28.5 لا لو حسبت ال speed اللي هو
+
+380
+00:33:59,390 --> 00:34:02,950
+عبارة عن جدر المراكبة السينية تربيع زاد المراكبة
+
+381
+00:34:02,950 --> 00:34:11,070
+الصادية تربيع وبطلع قيمتها هكذا بنكونانهينا المثال
+
+382
+00:34:11,070 --> 00:34:16,390
+اللي هو تلات تلاتة اخر مثال ناخده اللي هو تلاتة
+
+383
+00:34:16,390 --> 00:34:24,310
+point أربع حتى ننهي هذا الموضوع في عند كرة رميتها
+
+384
+00:34:24,310 --> 00:34:29,270
+بس رميتها بشكل مختلف عن اللي انا عارف رميتها على
+
+385
+00:34:29,270 --> 00:34:34,310
+طاولة مثلا هاي الطاولة عندى و رميتها زي هيك اذا
+
+386
+00:34:34,310 --> 00:34:41,540
+كأني ماخد النص التانيرميتها عدل كأنه مالهاش سرعة
+
+387
+00:34:41,540 --> 00:34:46,680
+في اتجاه ال Y إذا السرعة كلها في اتجاه ال X إذا V
+
+388
+00:34:46,680 --> 00:34:52,480
+not X بالساوية تلاتة متر على الساكن V not Y جداش
+
+389
+00:34:52,480 --> 00:34:58,500
+بالساوية Zero كمان مرةV0 X بيستوي V0 Cos Zero
+
+390
+00:34:58,500 --> 00:35:01,660
+الزاوية هنا جديش قيمتها Zero يعني تيتا كأنها
+
+391
+00:35:01,660 --> 00:35:07,820
+بيستوي Zero Cos Zero واحد إذا V0 X هي V0 و V0 جديش
+
+392
+00:35:07,820 --> 00:35:12,900
+عندي تلاتة متر بيرسكن أما V0 Y Sine الزاوية Sine
+
+393
+00:35:12,900 --> 00:35:18,300
+Zero معطينة Zero إذا السرعة كأنها كلها في اتجاه ال
+
+394
+00:35:18,300 --> 00:35:25,340
+X من ارتفاع قيمته واحد و اتنين من عشرة متروين ال Y
+
+395
+00:35:25,340 --> 00:35:30,700
+هذه ال Y اندي بالساوية Zero تحتها سالب فوجهها أياش
+
+396
+00:35:30,700 --> 00:35:33,880
+موجة إذا لما أجي أعوض عن ال 1 و2 من 10 في
+
+397
+00:35:33,880 --> 00:35:38,100
+المعادلات بأعوض عنها أياش بالسالب وهذه المنطقة هي
+
+398
+00:35:38,100 --> 00:35:43,780
+ال X بدي أحسب اللي هو أول حاجة ال final velocity
+
+399
+00:35:43,780 --> 00:35:47,460
+تاني حاجة ال final velocity و ال X جداش قيمة ال X
+
+400
+00:35:48,250 --> 00:35:51,710
+لما انا اجى احسب ال X معادلة ال X بس وفيش لا
+
+401
+00:35:51,710 --> 00:35:57,450
+معادلة واحد يلها X بس او VX في T او V not X او VX
+
+402
+00:35:57,450 --> 00:36:01,670
+نفس السرعة سرعة بتتغيرش في اتجاه ال X VX في T اذا
+
+403
+00:36:01,670 --> 00:36:05,050
+انا امدي ال X بدي V not X هي موجودة معايا تلاتة
+
+404
+00:36:05,050 --> 00:36:10,490
+متر على السكن ال T بدي احسب قيمة ال T من وين بدي
+
+405
+00:36:10,490 --> 00:36:13,840
+احسب قيمة ال Tبدي أجي المعادلات كلها فيها T
+
+406
+00:36:13,840 --> 00:36:16,680
+تقريباً المعادلة الأولى فيها T والمعادلة التانية
+
+407
+00:36:16,680 --> 00:36:20,280
+فيها T والمعادلة ال X فيها T إذا ممكن أجيب ال T من
+
+408
+00:36:20,280 --> 00:36:24,480
+المعادلة التانية لإنه أطاني ال Y إذا بقدر أقول ال
+
+409
+00:36:24,480 --> 00:36:28,920
+Y بيساوي V not Y في T نقص نص GT تربيع ال Y جداش
+
+410
+00:36:28,920 --> 00:36:35,320
+قيمتها سالب واحد واثنين من عشرة وبتساوي سالق ال V
+
+411
+00:36:35,320 --> 00:36:38,300
+not Y في T بتطلع قيمتها Zero لإنه مافيه سرعة من
+
+412
+00:36:38,300 --> 00:36:43,290
+البداية في اتجاه ال Yهنا ناقص نص جي ناقص نص نص
+
+413
+00:36:43,290 --> 00:36:45,690
+تسعة بوين تمانية بيطلع أربعة وتسعة من عشرة في T
+
+414
+00:36:45,690 --> 00:36:48,610
+square من هذه المعادلة اللي بيطلع ال T طبعا في
+
+415
+00:36:48,610 --> 00:36:51,390
+موجة بو سالب السالب مع سالب بيروح الجدر بيعطينا
+
+416
+00:36:51,390 --> 00:36:54,610
+موجة بو سالب طبعا باخد الإشارة مالها الموجة بقى لل
+
+417
+00:36:54,610 --> 00:36:58,880
+timeبقى صار معروف عند الزمن، هاي الزمن معروف،
+
+418
+00:36:58,880 --> 00:37:03,100
+الزمن معروف و V0x معروفة لإن ال X بيساوي V0x في T،
+
+419
+00:37:03,100 --> 00:37:07,500
+ال V0x قيمتها تلتة في السرعة في الزمن اللي طلع
+
+420
+00:37:07,500 --> 00:37:14,020
+معاه بيطلع ال X قيمتها واحد و
+
+421
+00:37:14,020 --> 00:37:19,040
+نص متر تقريباالان المطلوب التاني ال final velocity
+
+422
+00:37:19,040 --> 00:37:23,900
+يعني السرعة عند النقطة final يعني هاي ال initial
+
+423
+00:37:23,900 --> 00:37:29,940
+وهي ال final point ال final point السرعة عندها vx
+
+424
+00:37:29,940 --> 00:37:36,200
+و vy هل كمان مرة ال vx بتتغير ال vx ثابتة قيمتها
+
+425
+00:37:36,200 --> 00:37:38,800
+تلاتة متر على second acceleration اتجاه ال x
+
+426
+00:37:38,800 --> 00:37:43,340
+بتساوي zeroبظل عندى سرعة في اتجاه ال Y بجيب سرعة
+
+427
+00:37:43,340 --> 00:37:47,240
+في اتجاه ال Y من اي معادلة الى اتجاه ال Y والتكن
+
+428
+00:37:47,240 --> 00:37:51,540
+المعادلة الاولى او الاخيرة بس بدى اعرف ان ال VY
+
+429
+00:37:51,540 --> 00:37:55,900
+بتطلع عندى قيمتها بالسالم المعادلة الاولى هي VY
+
+430
+00:37:55,900 --> 00:37:58,120
+بيساوي V not Y ناقص ال G في ال T
+
+431
+00:38:10,630 --> 00:38:15,450
+اذا هنا بيبتدوا هذا بالـ zero ناقص
+
+432
+00:38:16,400 --> 00:38:20,400
+G T 9.8×9.4%
+
+433
+00:38:46,930 --> 00:38:52,410
+الـ Y و التلاتة في اتجاه ال X و يعطيكوا العافية و
+
+434
+00:38:52,410 --> 00:38:56,610
+المحاضرة الجاي بنحاول نكمل هذا ال chapter و نعمل
+
+435
+00:38:56,610 --> 00:39:00,390
+مناقش لل chapter السابقة يعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/rsI-B_7plXQ.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/rsI-B_7plXQ.srt
new file mode 100644
index 0000000000000000000000000000000000000000..bf90478826b520cc7b8bde76d5c89b10dcd422a4
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/rsI-B_7plXQ.srt
@@ -0,0 +1,682 @@
+1
+00:00:05,150 --> 00:00:08,730
+بسم الله الرحمن الرحيم اليوم عندنا شبطر ١١ شبطر ١١
+
+2
+00:00:08,730 --> 00:00:11,790
+بتكلم عن ال static equilibrium، ال static 
+
+3
+00:00:11,790 --> 00:00:18,230
+equilibrium. أي جسم متزن، هذا الجسم متزن، إيش لازم
+
+4
+00:00:18,230 --> 00:00:22,810
+يكون عليه؟ بيكون محصلة القوة المؤثرة عليه بتساوي
+
+5
+00:00:22,810 --> 00:00:26,190
+zero. أنا بعرف أنه في قوة على الجامعين بتؤثر عليها قوة
+
+6
+00:00:26,190 --> 00:00:30,150
+عليها، قوة فوق بتؤثر عليها قوة تحت، لكن وجدنا أنه
+
+7
+00:00:30,150 --> 00:00:34,940
+في مشكلة لو أنا عندي قوة من فوق وقوة من تحت، و
+
+8
+00:00:34,940 --> 00:00:39,420
+الاثنتين مش خط عملهما واحد، إيش بيصير عنده؟ هاي قوة
+
+9
+00:00:39,420 --> 00:00:42,960
+من اللي جاي من قدام، وقوة جاي من ورا، الاثنتين
+
+10
+00:00:42,960 --> 00:00:47,380
+أثرتا على... بيصير دوران، هل بيكونوا بيضلوا في وضع
+
+11
+00:00:47,380 --> 00:00:52,500
+اتزان؟ لأ، لذا لازم أقول أن أي جسم
+
+12
+00:00:55,560 --> 00:01:01,480
+يجب أن يكون محصلة القوة عليه تساوي صفر، فاكس
+
+13
+00:01:01,480 --> 00:01:04,320
+تساوي صفر، فاى تساوي صفر، فز تساوي صفر.
+
+14
+00:01:08,360 --> 00:01:12,220
+عجيب ثاني، ال rotation بده يكون صفر، ما يدورش كمان.
+
+15
+00:01:12,220 --> 00:01:15,540
+يعني يكون ساكن. هذا الجسم ساكن، محصلة القوة عليه
+
+16
+00:01:15,540 --> 00:01:19,100
+بتساوي zero، وكمان لو كانت محصلة، أحياناً محصلة
+
+17
+00:01:19,100 --> 00:01:21,960
+القوة بتساوي zero، بس ما يكون خط عملهما واحد، بلاقي
+
+18
+00:01:21,960 --> 00:01:25,680
+بيصير يدور. إذًا كمان ما يدورش، يعني إيش معناه ما يدورش؟
+
+19
+00:01:25,680 --> 00:01:28,840
+يعني ال summation لل torque بده يساوي ال external
+
+20
+00:01:28,840 --> 00:01:31,980
+torque، بده يساوي zero. إذًا ال torque بده يساوي zero.
+
+21
+00:01:31,980 --> 00:01:37,880
+ومحصلة القوة اللي عليه بتساوي zero. نجي نتكلم عن
+
+22
+00:01:37,880 --> 00:01:43,940
+لو أنا عندي جسم منتظم، وزنه دائماً بيكون إيش معلّق في
+
+23
+00:01:43,940 --> 00:01:46,660
+المنتظم هذا اللي قلناها، بيكون في ال equilibrium،
+
+24
+00:01:46,660 --> 00:01:52,140
+وزن كتلته أو كتلته أو وزنه بتكون مركزها وين؟ في
+
+25
+00:01:52,140 --> 00:01:55,880
+الجسم. تذكرين لما كان عندي جسم بهذا الشكل منتظم،
+
+26
+00:01:55,880 --> 00:02:00,840
+قاعد أرسم ال MG من وين؟ من المنتصف، إذا كان متماثل،
+
+27
+00:02:00,840 --> 00:02:05,120
+من ال center، ال center of gravity بتكون وينها؟ في
+
+28
+00:02:05,120 --> 00:02:10,320
+المركز الهندسي تماماً، بتكون في المركز الهندسي تماماً.
+
+29
+00:02:10,320 --> 00:02:14,060
+يعني لو أنا عندي دائرة، مركزها وين بيكون؟ في مركز
+
+30
+00:02:14,060 --> 00:02:20,080
+الدائرة. لو أنا عندي مربع أو ورقة على شكل مربع، بيكون
+
+31
+00:02:20,080 --> 00:02:23,920
+في مركز المربع، اللي هو تقاطع القطرين. مستطيل، تقاطع
+
+32
+00:02:23,920 --> 00:02:27,360
+القطرين. المثلث، اللي هو المركز الهندسي، وين بيكون؟
+
+33
+00:02:27,360 --> 00:02:33,270
+تقاطع اللي هو التلت المنصفات اللي موجودة عندي. لو
+
+34
+00:02:33,270 --> 00:02:36,910
+أنا بدي أحل مسألة بهذا الحل، أول حاجة لازم أن أرسم
+
+35
+00:02:36,910 --> 00:02:39,510
+free body diagram، لازم أرسم له إيش؟ لأن أنا بتكلم
+
+36
+00:02:39,510 --> 00:02:43,270
+عن قوة. بعد ما أرسم ال free body diagram، بدي إيش؟
+
+37
+00:02:43,270 --> 00:02:45,710
+أعمل إيش؟ أشوف القوة اللي على يمين واللي على
+
+38
+00:02:45,710 --> 00:02:48,570
+يسار بدهم يكونوا متساوية، وبعدين بتطبق ال
+
+39
+00:02:48,570 --> 00:02:51,290
+summation لل torque، بده يكون يساوي zero، وأكوّن
+
+40
+00:02:51,290 --> 00:02:54,930
+معادلات، وبده أحل المسألة. هاي عندي سؤال بيقول: عندي
+
+41
+00:02:54,930 --> 00:03:00,190
+uniform weight، أو مثال uniform، معناته في المنتصف
+
+42
+00:03:00,190 --> 00:03:05,410
+اللي بده يكون الوزن. طوله جداش؟ طوله 2 متر.
+
+43
+00:03:05,410 --> 00:03:11,690
+2 متر أو أي كان طوله. بيقول وزنه 40
+
+44
+00:03:11,690 --> 00:03:17,020
+نيوتن. وزنه بيكون في المنتصف تماماً. حطيت فيه
+
+45
+00:03:17,020 --> 00:03:21,760
+كتلتين على أطرافه. واحدة 500 نيوتن على الطرف
+
+46
+00:03:21,760 --> 00:03:26,920
+اللي ببعد 1.5 متر، وكمان كتلة ثانية مش عارف وين
+
+47
+00:03:26,920 --> 00:03:31,840
+بدي أحطها، قيمتها 350 نيوتن، يعني وزنها
+
+48
+00:03:31,840 --> 00:03:37,970
+350 نيوتن. بدي أُحدد مكانها بحيث يصبح
+
+49
+00:03:37,970 --> 00:03:40,630
+أن يكون ال road عندي في حالة اتزان. إيش معرفة ال
+
+50
+00:03:40,630 --> 00:03:42,590
+road في حالة اتزان؟ ال summation of force بيساوي
+
+51
+00:03:42,590 --> 00:03:45,930
+zero، ال summation of torque بيساوي zero. لذا بدي
+
+52
+00:03:45,930 --> 00:03:48,130
+أجي أعمل ال summation of force بيساوي zero، ال
+
+53
+00:03:48,130 --> 00:03:50,490
+summation of torque بيساوي zero. قبل ما أعمل أي
+
+54
+00:03:50,490 --> 00:03:55,820
+حاجة، بدي أرسم ال free body diagram. طلع هنا هذه
+
+55
+00:03:55,820 --> 00:04:00,340
+المنطقة، ال road مرتكز عليها، إذن مباشرة بيكون في
+
+56
+00:04:00,340 --> 00:04:03,640
+عندي رد فعل إلى أعلى. ال summation لل force في
+
+57
+00:04:03,640 --> 00:04:09,500
+اتجاه ال Y إيش بيساوي؟ متزن، zero. إيش في عندي قوة في
+
+58
+00:04:09,500 --> 00:04:13,280
+اتجاه ال Y؟ في عندي قوة في اتجاه ال Y اللي هي ال N
+
+59
+00:04:13,280 --> 00:04:21,100
+موجبة، وعندي ناقص ال 500، ناقص ال 40، ناقص
+
+60
+00:04:21,100 --> 00:04:24,440
+ال 350. لفوق موجب، هذا كله بيساوي كم؟
+
+61
+00:04:24,440 --> 00:04:28,380
+بيساوي ال zero. إيش المجهول عندي؟ ال normal force.
+
+62
+00:04:28,380 --> 00:04:32,300
+بطلع قيمة ال normal force، بنقلها، بيصير 500 زائد
+
+63
+00:04:32,300 --> 00:04:36,580
+ال 350 زائد 40 نيوتن. هذا قيمة ال
+
+64
+00:04:36,580 --> 00:04:40,680
+normal force. طلعنا قيمة ال normal force. إذًا أول
+
+65
+00:04:40,680 --> 00:04:45,380
+حاجة مطلوب منه، أُحدد القوة اللي هي ال Normal Force،
+
+66
+00:04:45,380 --> 00:04:49,480
+أو ال N اللي هي بتؤثر فيها، اللي هي الحفرة اللي
+
+67
+00:04:49,480 --> 00:04:54,200
+موجودة عندي هنا على ال road. النقطة الثانية المطلوبة
+
+68
+00:04:54,200 --> 00:04:58,860
+عنده، بده يحدد وين مكان ال 350 نيوتن بحيث يبقى ال
+
+69
+00:04:58,860 --> 00:05:01,400
+road في حالة balance، في حالة اتزان، يعني في حالة
+
+70
+00:05:01,400 --> 00:05:05,600
+أنه في حالة اتزان. إيش معناته؟ summation force في
+
+71
+00:05:05,600 --> 00:05:08,940
+اتجاه 0، summation torque يساوي 0. summation force
+
+72
+00:05:08,940 --> 00:05:12,140
+في اتجاه Y يساوي 0. هل في قوة في اتجاه ال X؟ مافي قوة
+
+73
+00:05:12,140 --> 00:05:15,900
+في اتجاه ال X، خلصنا منها. إذًا نتكلم الآن عن ال
+
+74
+00:05:15,900 --> 00:05:20,080
+summation لل torque. ال summation لل torque بده
+
+75
+00:05:20,080 --> 00:05:22,580
+يكون يساوي zero. كم من torque عندك؟ وين آخذ ال
+
+76
+00:05:22,580 --> 00:05:27,080
+torque؟ وين ما بدك، آخذه كيف؟ وين ما بده يوديك، آخذه حاجة
+
+77
+00:05:27,080 --> 00:05:31,840
+إسمها بيدور. هذه جسم واقف، واحد بيجي ويقول والله
+
+78
+00:05:31,840 --> 00:05:34,880
+بيدور على الحافة هذه، ما هو بيدور على الحافة
+
+79
+00:05:34,880 --> 00:05:38,080
+هذه، لأنه بيدور في العصير. واحد ثاني بيقول بيدور
+
+80
+00:05:38,080 --> 00:05:40,280
+على الحافة هذه، بقول له صح، بيدور على الحافة
+
+81
+00:05:40,280 --> 00:05:43,160
+الثانية. واحد بيقول لأ، بيدور في المركز، كمان
+
+82
+00:05:43,160 --> 00:05:45,990
+بيدور في المركز، بيدور في المركز. إذن في كل
+
+83
+00:05:45,990 --> 00:05:49,470
+الحالات، هذا ال rotation ما بيدور على الحافة، ولا بيلف
+
+84
+00:05:49,470 --> 00:05:54,090
+على الحافة الثانية، ولا بيلف حول المركز. إذن
+
+85
+00:05:54,090 --> 00:05:59,090
+في هذه الحالة، أنت مخيّر أنك تأخذ الدورة أو نقطة
+
+86
+00:05:59,090 --> 00:06:02,150
+الدوران وين ما بدك، وتقول ال summation حولها
+
+87
+00:06:02,150 --> 00:06:06,570
+بيساوي zero. دائماً بحاول قدر الإمكان آخذ في نقطة
+
+88
+00:06:06,570 --> 00:06:11,030
+ألغي أكبر كم من القوة. لو أنا أخذت هنا عندي نقطة A،
+
+89
+00:06:12,020 --> 00:06:14,700
+بقول ال summation لل torque عند نقطة A يساوي
+
+90
+00:06:14,700 --> 00:06:19,680
+zero. هذه القوة وهذه القوة ما لها؟ انعدمت. ليش
+
+91
+00:06:19,680 --> 00:06:24,960
+انعدمت أو ما عملتش torque؟ لأن أي قوة... أي قوة تمر
+
+92
+00:06:24,960 --> 00:06:28,060
+في نقطة الدوران، ال torque اللي لها
+
+93
+00:06:28,060 --> 00:06:30,300
+بيساوي zero. ليش ال torque يساوي zero؟ لأنه ما لهاش
+
+94
+00:06:30,300 --> 00:06:35,200
+ذراع. إذا في هذه الحالة، تمر في نقطة الدوران. إذن راحت N،
+
+95
+00:06:35,200 --> 00:06:39,020
+وراحت ال 40 نيوتن. ضل عندي القوة هذه، اتجاهها موجب،
+
+96
+00:06:39,020 --> 00:06:43,050
+لسالب ال 500. حط ال 500، إيش بتعمل في ال road؟ بتنزل
+
+97
+00:06:43,050 --> 00:06:48,770
+لوين؟ لتحت. إذًا هذا بيدور بهذا الشكل. حط ال 350 بهذا
+
+98
+00:06:48,770 --> 00:06:52,230
+الشكل، هذا مع عقارب الساعة، سالب. هذا عكس عقارب
+
+99
+00:06:52,230 --> 00:06:55,610
+الساعة، موجب. إذًا واحد موجب وواحد سالب، إيش بده يقول؟
+
+100
+00:06:55,610 --> 00:06:59,710
+summation لل torque بيكون يساوي zero. أخي عندي 500،
+
+101
+00:06:59,710 --> 00:07:06,290
+القوة 500، والقوة 350. 500 مضروبة... مضروبة... هذا بيشرس...
+
+102
+00:07:06,290 --> 00:07:12,130
+موجبة. هذه عكس عقارب الساعة، وهذه مع عقارب الساعة.
+
+103
+00:07:12,130 --> 00:07:18,770
+500 ضرب 1.5،  x، و 350 ضرب
+
+104
+00:07:18,770 --> 00:07:25,750
+ال x منها، بطلع قيمة ال x، بيكون ال x حسبتها 2.14.
+
+105
+00:07:25,750 --> 00:07:30,610
+يعني لازم أحط 350 على بعد 2.14. نجي نأخذ
+
+106
+00:07:30,610 --> 00:07:35,450
+مثال ثاني، نفس الشيء. في عندي uniform horizontal،
+
+107
+00:07:35,450 --> 00:07:43,630
+beam، طولها 8 متر. طولها
+
+108
+00:07:43,630 --> 00:07:47,910
+8 متر، ومتزنة، ومربوطة بخيط زي الشكل اللي
+
+109
+00:07:47,910 --> 00:07:53,430
+موجود عندك. مربوطة بحبل هنا وهنا. في عندك نقطة
+
+110
+00:07:53,430 --> 00:07:59,170
+ارتكاز. متزنة. أول حاجة، uniform ولا مش uniform؟
+
+111
+00:07:59,170 --> 00:08:03,370
+uniform، هاي uniform، مثلاً uniform. في عندك الوزن
+
+112
+00:08:03,370 --> 00:08:07,030
+200 نيوتن، واللي بده يكون في النص هنا. ال 200 نيوتن
+
+113
+00:08:08,460 --> 00:08:14,120
+نقطة ثانية هنا مربوطة بحبل، إذًا في شد T. نقطة ثالثة هنا،
+
+114
+00:08:14,120 --> 00:08:18,840
+ال rod هذا أو ال beam هذا بده ينزل، في قوة
+
+115
+00:08:18,840 --> 00:08:25,840
+بمنعه ينزل، لفوق، بده نسميها RY. بعدين بهذا الشكل،
+
+116
+00:08:25,840 --> 00:08:31,680
+مضغوط للداخل، مضغوط،  في قوة بمنعه بهذا الاتجاه،
+
+117
+00:08:31,680 --> 00:08:38,940
+RX. في قوتين، قوة RY وقوة RX. إيش في عندي قوة ثانية؟ خلاص
+
+118
+00:08:38,940 --> 00:08:41,340
+ما فيش قوة ثانية. في وزن الشخص اللي بيمشي على هذا ال
+
+119
+00:08:41,340 --> 00:08:46,280
+road، بقيمة 600 نيوتن. إذًا أنا رسمت ال free
+
+120
+00:08:46,280 --> 00:08:49,180
+body diagram، جميع القوة اللي بتأثر على الجسم. ال T
+
+121
+00:08:49,180 --> 00:08:54,340
+هنا، عشان أريح حالي بدي أحلّله: T sin الزاوية، وهنا T
+
+122
+00:08:54,340 --> 00:08:59,860
+cos، cos الزاوية. بدي أقول ال summation لل
+
+123
+00:08:59,860 --> 00:09:03,910
+force في اتجاه ال X بيساوي 0. إيش عنده في اتجاه ال
+
+124
+00:09:03,910 --> 00:09:09,970
+X؟ في عنده RX ناقص
+
+125
+00:09:09,970 --> 00:09:16,530
+T cos الزاوية، T cos Θ، بيساوي T cos 53
+
+126
+00:09:19,000 --> 00:09:23,180
+بيساوي zero. بعدين في عندي summation لل force في
+
+127
+00:09:23,180 --> 00:09:27,060
+اتجاه ال Y بيساوي zero. إيش عندي في اتجاه ال Y؟ عندي
+
+128
+00:09:27,060 --> 00:09:33,720
+RY لفوق، وعندي T sin الزاوية لفوق، وعندي 200
+
+129
+00:09:33,720 --> 00:09:39,980
+و 600 اتجاههم لأسفل. 200 هنا، 200 و 600، سالب
+
+130
+00:09:39,980 --> 00:09:43,900
+600، اتجاههم لأسفل. هذا برضه بيساوي zero.
+
+131
+00:09:43,900 --> 00:09:47,880
+بعدين summation لل torque حول أي نقطة بتيجيها.
+
+132
+00:09:47,880 --> 00:09:53,100
+حول النقطة A، وليكن هذه نقطة A، بختارها وين ما
+
+133
+00:09:53,100 --> 00:09:59,040
+بدي. برضه بيساوي zero. إيش في عندي قوة بتساوي zero؟
+
+134
+00:09:59,040 --> 00:10:04,200
+في عندي هذه ال RX وال RY بيضيعوا. ليش بيضيعوا؟
+
+135
+00:10:04,200 --> 00:10:07,900
+لأنهم بيعبروا... بي... بي... بيعبروا في نقطة الدوران
+
+136
+00:10:07,900 --> 00:10:13,400
+اللي أنا آخذ الدوران حولها. كمان هذه القوة، ال T
+
+137
+00:10:13,400 --> 00:10:19,190
+cos الزاوية بتروح. بيضل عندي ال 600. ال 600 بالموجب
+
+138
+00:10:19,190 --> 00:10:26,330
+ولا بالسالب؟ ال 600 زي هيك بالسالب، وال 200 بالسالب،
+
+139
+00:10:26,330 --> 00:10:31,870
+وال T cos اتجاهها لأعلى، عكسها، قربه بالموجب، لذا
+
+140
+00:10:31,870 --> 00:10:36,990
+سالب وسالب، هذا سالب وسالب، هنا عندي إيش؟ سالب و
+
+141
+00:10:36,990 --> 00:10:42,370
+سالب، وهنا موجب. لذا بقدر أقول: 600... zero.  ساوي ال 600
+
+142
+00:10:42,370 --> 00:10:46,930
+في ذراع،  كدهش. ال 600 في ذراع، كم؟ المسافة من هنا
+
+143
+00:10:46,930 --> 00:10:54,010
+لهنا 2 متر، على المقارنة 2 متر. هنا في خطأ، كلّه 8، 2
+
+144
+00:10:54,010 --> 00:11:02,590
+متر ضرب 2. اشارتها سالب. سالب ال 200 اللي هو الوزن
+
+145
+00:11:02,590 --> 00:11:09,390
+على بعد جداش مسافة؟ 4 متر ضرب 4 متر. آخر قوة موجودة،
+
+146
+00:11:09,390 --> 00:11:16,300
+عندي T sin الزاوية، زائد بالموجب، T sin، 3 و
+
+147
+00:11:16,300 --> 00:11:21,620
+خمسين ضرب الثمانية متر. هذا كله بيساوي zero. إيش
+
+148
+00:11:21,620 --> 00:11:25,200
+المجهول عندي؟ ال T. بطلع ال T، بأعوّض عنها هنا، وبطلع ال
+
+149
+00:11:25,200 --> 00:11:29,300
+RY، بأعوّض عنها هنا، وبطلع ال RX. إذًا ال R، ال reaction
+
+150
+00:11:29,300 --> 00:11:34,540
+اللي موجود عندي هناك، بتساوي RX في اتجاه ال I، زي ال
+
+151
+00:11:34,540 --> 00:11:40,320
+RY في اتجاه J، وبقدر أجيب قيمة ال R: جذر RX تربيع
+
+152
+00:11:40,320 --> 00:11:47,290
+زائد RY تربيع. هو بطلع قيمة ال reaction force، أو
+
+153
+00:11:47,290 --> 00:11:51,190
+القوة اللي بتأثر فيها أو بتتحمّلها ال beam من
+
+154
+00:11:51,190 --> 00:12:02,010
+الحيطة. نجي نأخذ آخر مسألة، اللي هو عندي سلة... هو
+
+155
+00:12:02,010 --> 00:12:07,050
+هذا سلة متزنة. واحد بيطلع عليها. لاحظوا كل ما يطلع في
+
+156
+00:12:07,050 --> 00:12:13,130
+لحظة من اللحظات، معلّقة هذه السلة، كل ما مال أكثر كل ما
+
+157
+00:12:13,130 --> 00:12:17,550
+كان قابل للانزلاق. كل ما حد بده يطلع عليها بتنزلق
+
+158
+00:12:17,550 --> 00:12:21,010
+أكثر. إذًا في هذه الحالة أنا بدي أمنعه من الانزلاق،
+
+159
+00:12:21,010 --> 00:12:27,790
+أو بدي أشوف أقصى قيمة بدي يطلع فيها بحيث ما ينزلقش.
+
+160
+00:12:27,790 --> 00:12:30,950
+إذن هذه السلة، مش القوة المؤثرة عليها، هذه الحتة
+
+161
+00:12:30,950 --> 00:12:35,030
+smooth، إذن هنا في عندي قوة، أنا
+
+162
+00:12:37,580 --> 00:12:42,040
+طبعاً هنا في عندي احتكاك في الحيطان، بمنع اللي
+
+163
+00:12:42,040 --> 00:12:44,440
+ينزل. بده ينزل زي هيك، إذًا الاحتكاك عكس
+
+164
+00:12:44,440 --> 00:12:48,440
+الانزلاق، أو عكس الحركة المتوقعة. قوّة على وشك
+
+165
+00:12:48,440 --> 00:12:53,060
+الانزلاق، هذه بده تكون maximum. وفي عندي هنا اسميها،
+
+166
+00:12:53,060 --> 
+
+223
+00:17:50,100 --> 00:17:55,090
+قيمتها أن واحد، سوى 900، أن واحد بعوضها هنا هذه معروفة
+
+224
+00:17:55,090 --> 00:17:59,630
+نصف بطلع FS، بعوض عن FS بطلع N، بمسك الـ N و بعوضها
+
+225
+00:17:59,630 --> 00:18:04,510
+هنا، و بطلع قيمة D، و هيك بقول لكم يعطيكم العافية، و
+
+226
+00:18:04,510 --> 00:18:09,730
+ربنا يوفقكم و يشدّ همّتكم، المادة حاولوا تلقوا قدر
+
+227
+00:18:09,730 --> 00:18:11,290
+أكبر من الأسئلة
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/rsI-B_7plXQ_postprocess.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/rsI-B_7plXQ_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..b821fd4f4e9aac5f9db2499d9e42280b2e28e98f
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/rsI-B_7plXQ_postprocess.srt
@@ -0,0 +1,908 @@
+1
+00:00:05,150 --> 00:00:08,730
+بسم الله الرحمن الرحيم اليوم عندنا شبطر 11 شبطر 11
+
+2
+00:00:08,730 --> 00:00:11,790
+بتكلم عن ال static equilibrium ال static
+
+3
+00:00:11,790 --> 00:00:18,230
+equilibrium اي جسم متزن هذا الجسم متزن ايش لازم
+
+4
+00:00:18,230 --> 00:00:22,810
+يكون عليه بيكون محصلة القوة المؤثر عليها بتساوي
+
+5
+00:00:22,810 --> 00:00:26,190
+zero انا بعرف انه في قوة على الجامعين بتجبيلها قوة
+
+6
+00:00:26,190 --> 00:00:30,150
+عليها ساعة قوة فوق بتقويلها قوة تحت لكن وجدنا انه
+
+7
+00:00:30,150 --> 00:00:34,940
+في مشكلة لو انا في قوة من فوقو قوة من التحت و
+
+8
+00:00:34,940 --> 00:00:39,420
+التنتين مش خط عملهم واحد، إيش بيصير عنده؟ هاي قوة
+
+9
+00:00:39,420 --> 00:00:42,960
+من اللي جاي من قدام، و قوة جاي من ورا التنتين
+
+10
+00:00:42,960 --> 00:00:47,380
+أثروا على .. بيصير دوران، هل بيكونوا بيضلوا في وضع
+
+11
+00:00:47,380 --> 00:00:52,500
+اتزان؟ لأ، لذا لازم أقول إن أي جسم
+
+12
+00:00:55,560 --> 00:01:01,480
+يجب ان يكون محصرة القوة اللى عليه بساوة 0 فاكس
+
+13
+00:01:01,480 --> 00:01:04,320
+بساوة 0 فاي بساوة 0 فز بساوة 0
+
+14
+00:01:08,360 --> 00:01:12,220
+عجي تاني ال rotation بدو يكون كويب مايدورش كمان
+
+15
+00:01:12,220 --> 00:01:15,540
+يعني يكون ساكن هذا الجسم ساكن محصلة القوة عليه
+
+16
+00:01:15,540 --> 00:01:19,100
+بيساوي zero وكمان لو كانت محصلة فيها احيان محصلة
+
+17
+00:01:19,100 --> 00:01:21,960
+القوة بيساوي zero بس مايكونوش خاطئ عن الواحد بلاقي
+
+18
+00:01:21,960 --> 00:01:25,680
+بيصير يدور اذا كمان مايدورش يعني ايش معناه مايدورش
+
+19
+00:01:25,680 --> 00:01:28,840
+يعني ال summation لل torque بدو يساوي ال external
+
+20
+00:01:28,840 --> 00:01:31,980
+torque بدو يساوي zero اذا ال torque بدو يساوي zero
+
+21
+00:01:31,980 --> 00:01:37,880
+و المحصلة القوة اللي عليه بيساوي zeroنجي نتكلم عن
+
+22
+00:01:37,880 --> 00:01:43,940
+لو انا عندي جسم منتظم وزنه دايما بيكون ايش معله في
+
+23
+00:01:43,940 --> 00:01:46,660
+المنتظم هذا اللي قولناها بيكون في ال equilibrium
+
+24
+00:01:46,660 --> 00:01:52,140
+وزن الكتلته او كتلته او وزنه بتكون مركز وين في
+
+25
+00:01:52,140 --> 00:01:55,880
+الجسم تذكرين لما كان عندي جسم بهذا الشكل منتظم
+
+26
+00:01:55,880 --> 00:02:00,840
+قاعدي ارسم ال MG من وينمن المنتصف إذا كان متماثل
+
+27
+00:02:00,840 --> 00:02:05,120
+من ال center ال center of gravity بتكون وينها في
+
+28
+00:02:05,120 --> 00:02:10,320
+المركز الهندسي تماما بتكون في المركز الهندسي تماما
+
+29
+00:02:10,320 --> 00:02:14,060
+يعني لو في اندي دائرة مركزها وين بيكون في مركز
+
+30
+00:02:14,060 --> 00:02:20,080
+الدائرةلو أنا عندى مربع او ورقة ع شكل مربع بيكون
+
+31
+00:02:20,080 --> 00:02:23,920
+فى مركز المربع اللى هو تقاطع القطرين مستطيل تقاطع
+
+32
+00:02:23,920 --> 00:02:27,360
+القطرين المثلث اللى هو المركز الهندسوين بيكون
+
+33
+00:02:27,360 --> 00:02:33,270
+تقاطع اللى هو التلت المنصفات اللى موجودة عندىلو
+
+34
+00:02:33,270 --> 00:02:36,910
+انا بدى حل مسألة بهذا الحل اول حاجة بلزم ان ارسم ل
+
+35
+00:02:36,910 --> 00:02:39,510
+free body diagram لازم ارسم ليه ايش لان انا بتكلم
+
+36
+00:02:39,510 --> 00:02:43,270
+عن قوة بعد ما ارسم ل free body diagram بدي ايش
+
+37
+00:02:43,270 --> 00:02:45,710
+اعمل اشوف القوة اللي علي يمين و القوة اللي علي
+
+38
+00:02:45,710 --> 00:02:48,570
+يسار بدهم يكونوا متساوية و بعدين بتطبق ال
+
+39
+00:02:48,570 --> 00:02:51,290
+summation لل torque بده يكون بساوة zero و اكوّنه
+
+40
+00:02:51,290 --> 00:02:54,930
+معادلات و بده احل المسألة هاي عندي سؤال بيقول عندي
+
+41
+00:02:54,930 --> 00:03:00,190
+uniform weight او مثال uniform معناته في المصطمام
+
+42
+00:03:00,190 --> 00:03:05,410
+اللي بده يكون الوزنطوله جداش؟ طوله اتنين على مدن
+
+43
+00:03:05,410 --> 00:03:11,690
+اتنين متر او اي ان كان طوله بيقول فين ده اربعين
+
+44
+00:03:11,690 --> 00:03:17,020
+انيوتنوزنه بيكون وزنه في المنتصف تماماً حطيت فيه
+
+45
+00:03:17,020 --> 00:03:21,760
+كتلتين على أطراف واحدة خمسمية نيوتن على الطرف
+
+46
+00:03:21,760 --> 00:03:26,920
+بتبعت واحد ونص متر وكمان كتلة تانية مش عارف وين
+
+47
+00:03:26,920 --> 00:03:31,840
+بدي أحطها قيمتها تلاتمية وخمسين نيوتن يعني وزنها
+
+48
+00:03:31,840 --> 00:03:37,970
+تلاتمية وخمسين نيوتنبدي احدد مكانها بحيث اكثر اكثر
+
+49
+00:03:37,970 --> 00:03:40,630
+ان يكون ال road عندى في حالة اتزان ايش معرفة ال
+
+50
+00:03:40,630 --> 00:03:42,590
+road في حالة اتزان ال summation of force بيساوي
+
+51
+00:03:42,590 --> 00:03:45,930
+زيرو ال summation of torque بيساوي زيرو لذا بدي
+
+52
+00:03:45,930 --> 00:03:48,130
+اجي اعمل ال summation of force بيساوي زيرو ال
+
+53
+00:03:48,130 --> 00:03:50,490
+summation of torque بيساوي زيرو قبل ما اعمل اي
+
+54
+00:03:50,490 --> 00:03:55,820
+حاجة بدي ارسم ال free body diagram طلع هناهذه
+
+55
+00:03:55,820 --> 00:04:00,340
+المنطقة ال road مرتكز عليها اذا مباشرة بيكون في
+
+56
+00:04:00,340 --> 00:04:03,640
+عندى رد فعل الى اعلى ال summation لل force في
+
+57
+00:04:03,640 --> 00:04:09,500
+اتجاه ال Y ايش بيساوي متزن Zero ايش في عندى قوة في
+
+58
+00:04:09,500 --> 00:04:13,280
+اتجاه ال Y؟ في عندى قوة في اتجاه ال Y اللى هى ال N
+
+59
+00:04:13,280 --> 00:04:21,100
+موجبة وعندى ناقص الخمسميةناقص الاربعين ناقص
+
+60
+00:04:21,100 --> 00:04:24,440
+التلاتمية وخمسين لفوق موجب هذا كله بيساوي اكم
+
+61
+00:04:24,440 --> 00:04:28,380
+بيساوي الزيرو ايش المجهول عندي ال normal force
+
+62
+00:04:28,380 --> 00:04:32,300
+بطلع قيمة ال normal force بعنقله بيصير خمسمية زي
+
+63
+00:04:32,300 --> 00:04:36,580
+التلاتمية وخمسين زي اربعين نيوتن هذا قيمة ال
+
+64
+00:04:36,580 --> 00:04:40,680
+normal force طلعنا قيمة ال normal force اذا اول
+
+65
+00:04:40,680 --> 00:04:45,380
+حاجة مطلوب منه احدد القوة اللي هيالـ Normal Force
+
+66
+00:04:45,380 --> 00:04:49,480
+أو الـ N اللي هي تؤثر فيها اللي هي الحفر اللي
+
+67
+00:04:49,480 --> 00:04:54,200
+موجود عنده هنا على ال road النقطة التانية المطلوب
+
+68
+00:04:54,200 --> 00:04:58,860
+عنده بده تحدد وين ما كان ال 350 نيوتن بحيث يبقى ال
+
+69
+00:04:58,860 --> 00:05:01,400
+road في حالة balance في حالة اتزان يعني في حالة
+
+70
+00:05:01,400 --> 00:05:05,600
+انه في حالة اتزان ايش معناته؟ sumational force في
+
+71
+00:05:05,600 --> 00:05:08,940
+اتجاه 0 sumational torque بساوة 0 sumational force
+
+72
+00:05:08,940 --> 00:05:12,140
+في اتجاه Y بساوة 0 هل في قوة في اتجاه ال X؟فيش قوة
+
+73
+00:05:12,140 --> 00:05:15,900
+في اتجاه الاكس عندك خلصنا منها اذا نتكلم الآن ال
+
+74
+00:05:15,900 --> 00:05:20,080
+summation لل torque ال summation لل torque بده
+
+75
+00:05:20,080 --> 00:05:22,580
+يكون بساوة zero كم من torque عندك وين اخد ال
+
+76
+00:05:22,580 --> 00:05:27,080
+torque وين ما بدك خده كيف وين ما بده يود اخده حاجة
+
+77
+00:05:27,080 --> 00:05:31,840
+اسم بيدورهذه جسم اسف واقف، واحد بيجي ويقول والله
+
+78
+00:05:31,840 --> 00:05:34,880
+بيدورش على الحافة هذه، ما هو بيدورش على الحافة
+
+79
+00:05:34,880 --> 00:05:38,080
+هذه، لأنه بيدورش في العصير، واحد تاني بيقول بيدورش
+
+80
+00:05:38,080 --> 00:05:40,280
+على الحافة هذه، بقوله صح بيدورش على الحافة
+
+81
+00:05:40,280 --> 00:05:43,160
+التانية، واحد بيقول لأ بيدورش في المركز، كمان
+
+82
+00:05:43,160 --> 00:05:45,990
+بيدورش في المركز، بيدورش في المركزلذن في كل
+
+83
+00:05:45,990 --> 00:05:49,470
+الحالات هذا الروت ما بيدورش على الحافة بيلفش ولا
+
+84
+00:05:49,470 --> 00:05:54,090
+بيلف على الحافة التانية ولا بيلف حوالين المركز لذن
+
+85
+00:05:54,090 --> 00:05:59,090
+في هذه الحالة انت مخير انك تاخد الدورة او نقطة
+
+86
+00:05:59,090 --> 00:06:02,150
+الدورة وين ما بدك و تقول ال summation حواليها
+
+87
+00:06:02,150 --> 00:06:06,570
+بيساوي zero دايما بحاول قدر الإمكان اخد في نقطة
+
+88
+00:06:06,570 --> 00:06:11,030
+ألغي كم أكبر من القوة لو انا أخدت هنا عندي نقطة A
+
+89
+00:06:12,020 --> 00:06:14,700
+بقول الـ summation للـ torque عند نقطة A بساوة
+
+90
+00:06:14,700 --> 00:06:19,680
+Zero هذه القوة و هذه القوة ما لها انعدمت ليش
+
+91
+00:06:19,680 --> 00:06:24,960
+انعدمت او ماعملتش torque لأن اي قوة .. اي قوة تمر
+
+92
+00:06:24,960 --> 00:06:28,060
+في الدوران او في نقطة الدوران ال torque اللي لها
+
+93
+00:06:28,060 --> 00:06:30,300
+بساوة Zero ليش ال torque بساوة Zero لأنه مالهاش
+
+94
+00:06:30,300 --> 00:06:35,200
+دراع اذا في هذه الحالة تمر في الدوران اذا راحت N
+
+95
+00:06:35,200 --> 00:06:39,020
+وراحت ال 40 نيوتر ضال عند القوة هذه اتجاهها موجبه
+
+96
+00:06:39,020 --> 00:06:43,050
+لسالب ال 500حط ال 500 ايش بتعمل فى ال road بتنزل
+
+97
+00:06:43,050 --> 00:06:48,770
+لوين لتحت اذا هذا بيدور بهذا الشكل حط ال 350 بهذا
+
+98
+00:06:48,770 --> 00:06:52,230
+الشكل هذا معاق عقارب الساعة سالب هذا عكس عقارب
+
+99
+00:06:52,230 --> 00:06:55,610
+الساعة موجب اذا واحد موجب واحد سالب ايش بده اقول
+
+100
+00:06:55,610 --> 00:06:59,710
+summation لل torque بيكون بيساوي zero اخي عندي 500
+
+101
+00:06:59,710 --> 00:07:06,290
+القوة 500 و القوة 350 500 مضروبة مضروبة هذا بيشرس
+
+102
+00:07:06,290 --> 00:07:12,130
+موجبةهذه عكس عقارب الساعة وهذه مع عقارب الساعة
+
+103
+00:07:12,130 --> 00:07:18,770
+خمسمية ضرب واحد و نص اكس و تلتمية و خمسين ضرب
+
+104
+00:07:18,770 --> 00:07:25,750
+الاكس منها بطلع قيمة الاكس بيكون الاكس حسبتها 2.14
+
+105
+00:07:25,750 --> 00:07:30,610
+يعني لازم احط تلتمية و خمسين على بعد 214 نجي ناخد
+
+106
+00:07:30,610 --> 00:07:35,450
+مثال تاني نفس الاشي في عندي uniform horizontal
+
+107
+00:07:35,450 --> 00:07:43,630
+beamطولها تمانية متر طولها
+
+108
+00:07:43,630 --> 00:07:47,910
+تمانية متر او متزنة و مربوطة بخيط زي الشكل اللي
+
+109
+00:07:47,910 --> 00:07:53,430
+موجود عندك مربوطة بحبل هنا و هنا في عندك نقطة
+
+110
+00:07:53,430 --> 00:07:59,170
+ارتكاز المتزن اول حاجة uniform ولا مش uniform
+
+111
+00:07:59,170 --> 00:08:03,370
+uniform high uniform مثلا uniform في عندك الوزن
+
+112
+00:08:03,370 --> 00:08:07,030
+200 نيوتر و اللي بده يكون في النص هنا ال 200 نيوتر
+
+113
+00:08:08,460 --> 00:08:14,120
+نقطة تانية هنا مربوطة بحبل اذا في شد T نقطة تالتين
+
+114
+00:08:14,120 --> 00:08:18,840
+هنا ال rod هذا او ال beam هذا بده ينزل في قوة
+
+115
+00:08:18,840 --> 00:08:25,840
+منعاه ينزل لفوق بده يسميها RY بعدين بهذا الشكل
+
+116
+00:08:25,840 --> 00:08:31,680
+مضغوط للداخل مصحوب لده في قوة منعاه بهذا الاتجاه
+
+117
+00:08:31,680 --> 00:08:38,940
+RXفي قوتين قوة ري و ركز ايش في عندي قوة تانية خلاص
+
+118
+00:08:38,940 --> 00:08:41,340
+مافيش قوة تانية في وزد الشخص اللي بيمشي على هذا ال
+
+119
+00:08:41,340 --> 00:08:46,280
+road بقيمة هست مائة نيوتر اذا انا رسمت ال free
+
+120
+00:08:46,280 --> 00:08:49,180
+body diagram جميع القوة اللي بتأثر على الجسم ال T
+
+121
+00:08:49,180 --> 00:08:54,340
+هنا حتى اريح حالة بدي احلله T sine الزاوية و هنا T
+
+122
+00:08:54,340 --> 00:08:59,860
+cosine D cosine الزاوية بدي اقول ال summation لل
+
+123
+00:08:59,860 --> 00:09:03,910
+forceفى اتجاه الـ X بيساوي 0 ايش عنده في اتجاه الـ
+
+124
+00:09:03,910 --> 00:09:09,970
+X؟ فى عنده R X ناقص
+
+125
+00:09:09,970 --> 00:09:16,530
+T Cos الزاوية T Cos Θ بيساوي T Cos 53
+
+126
+00:09:19,000 --> 00:09:23,180
+هي ساوة زيرو بعدين في عندى summation لل force في
+
+127
+00:09:23,180 --> 00:09:27,060
+اتجاه ال Y بيساوة زيرو ايش عندى في اتجاه ال Y عندى
+
+128
+00:09:27,060 --> 00:09:33,720
+RY لفوق وعندى T ساين الزاوية لفوق وعندى ميتين
+
+129
+00:09:33,720 --> 00:09:39,980
+وستمية اتجاههم لأسفل ميتين هنا ميتين وستمية سالم
+
+130
+00:09:39,980 --> 00:09:43,900
+ستمية اتجاههم لأسفل هذا بيبقى برضه بيبقى ساوة زيرو
+
+131
+00:09:43,900 --> 00:09:47,880
+بعدين summation لل torque حوالين اي نقطة بتيجيها
+
+132
+00:09:47,880 --> 00:09:53,100
+حوالين النقطة Aوالتكن هذه نقطة ايه؟ بختارها وين ما
+
+133
+00:09:53,100 --> 00:09:59,040
+بدي برضه بيساوي Zero ايش في اندي قوة بيساوي Zero؟
+
+134
+00:09:59,040 --> 00:10:04,200
+في اندي هذه ال RX و الRY بيضيعوا ليش بيضيعوا؟
+
+135
+00:10:04,200 --> 00:10:07,900
+لأنهم بيضوء .. بي .. ب .. بعبروا في نقطة الدوران
+
+136
+00:10:07,900 --> 00:10:13,400
+اللي انا ماخد الدوران حولها كمان هذه القوة الـ E
+
+137
+00:10:13,400 --> 00:10:19,190
+Cos الزاوية بتروحبيظل عند ال 600 ال 600 بالموجب
+
+138
+00:10:19,190 --> 00:10:26,330
+ولا بالسالب؟ ال 600 زي هيك بالسالب وال 200 بالسالب
+
+139
+00:10:26,330 --> 00:10:31,870
+وال T cosine اتجاهها لأعلى عكسها قرب بالموجب لذا
+
+140
+00:10:31,870 --> 00:10:36,990
+سالب و سالم هذا سالب و سالم هنا اندي ايش؟ سالب و
+
+141
+00:10:36,990 --> 00:10:42,370
+سالم وهنا موجب لذا بقدر اقول 600 Zero ساوي ال 600
+
+142
+00:10:42,370 --> 00:10:46,930
+في دراحة كدهش ال 600 في دراحة؟تعدد المسافة من هنا
+
+143
+00:10:46,930 --> 00:10:54,010
+لهنا 2 متر على المقضان 2 متر هنا في خطأ كله 800 2
+
+144
+00:10:54,010 --> 00:11:02,590
+متر ضرب 2 مشاريتها سالب سالب ال 200 اللي هو الوزن
+
+145
+00:11:02,590 --> 00:11:09,390
+على بعد جداش مسافة 4 متر ضرب 4 متر اخر قوة موجودة
+
+146
+00:11:09,390 --> 00:11:16,300
+عند T sine الزاوية زائد بالموجة T sineتلاتة و
+
+147
+00:11:16,300 --> 00:11:21,620
+خمسين ضرب التمانية متر هذا كله بيساوي زيرو ايش
+
+148
+00:11:21,620 --> 00:11:25,200
+المجهول عند ال T بطلع ال T اعوض عنها هنا و بطلع ال
+
+149
+00:11:25,200 --> 00:11:29,300
+RY اعوض عنها هنا و بطلع ال RX اذا ال R ال reaction
+
+150
+00:11:29,300 --> 00:11:34,540
+اللي موجود عند هناك بتساوي RX في اتجاه ال I زي ال
+
+151
+00:11:34,540 --> 00:11:40,320
+RY في اتجاه دي و بقدر اجيب قيمة ال R جدر RX تربية
+
+152
+00:11:40,320 --> 00:11:47,290
+زي ال RY تربيةهو بطلع القيمة reaction force أو
+
+153
+00:11:47,290 --> 00:11:51,190
+القوة اللي بتأثر فيها أو بتتحصر فيها ال beam من
+
+154
+00:11:51,190 --> 00:12:02,010
+الحيطة نيجي ناخد آخر مسألة اللي هو عند سلة هو
+
+155
+00:12:02,010 --> 00:12:07,050
+هذا سلة متزن واحد بيطلع عليه لاحظوا كل ما يطلع في
+
+156
+00:12:07,050 --> 00:12:13,130
+لحظة من اللحظات معله هذه السلةكل ما مال أكتر كل ما
+
+157
+00:12:13,130 --> 00:12:17,550
+كان قابل للانزلاق كل ما حد بدي يطلع عليه بنزلق
+
+158
+00:12:17,550 --> 00:12:21,010
+أكتر، لذن في هذه الحالة أنا بدي أمنعه من الانزلاق
+
+159
+00:12:21,010 --> 00:12:27,790
+أو بدي أشوف أقصى قيمة بدي أطلع فيه بحيث ماينزلقش،
+
+160
+00:12:27,790 --> 00:12:30,950
+لذن هذه السلة مش القوة المؤثرة عليه، هذه الحتة
+
+161
+00:12:30,950 --> 00:12:35,030
+smooth، لذن هنا في عند قوة انا
+
+162
+00:12:37,580 --> 00:12:42,040
+طبعا هنا في عندى احتكاك فى الحيطان مانعى اللى
+
+163
+00:12:42,040 --> 00:12:44,440
+ينزلك بده ينزلك زي هيك اذا اللى احتكاك عكس
+
+164
+00:12:44,440 --> 00:12:48,440
+الانزلاق او عكس الحرق المتوقع افأس على وشك
+
+165
+00:12:48,440 --> 00:12:53,060
+الانزلاق هذي بدا تكون maximum وفي عندى هنا اسميها
+
+166
+00:12:53,060 --> 00:12:57,820
+ان واحد ضغط هو ضغط على الأرض اذا الأرض بتعمل رد
+
+167
+00:12:57,820 --> 00:13:01,380
+فعلا لو ضغط على الرمل بيغوص فى الرمل اذا هو منعه
+
+168
+00:13:01,380 --> 00:13:10,490
+ما يغوص داخل هذا السطح كمان فى الوزن هنالأسفل
+
+169
+00:13:10,490 --> 00:13:14,650
+جدّيش المسافة دي هو اللي بيديها بحيث ما ينزلقش هذا
+
+170
+00:13:14,650 --> 00:13:21,710
+السلة جدّيش الوزن أو المسافة حتى لا يبدأ في إيش في
+
+171
+00:13:21,710 --> 00:13:25,930
+الإنزلق يعني أقصى مسافة بيطلعها بحيث لا ينزلق
+
+172
+00:13:25,930 --> 00:13:30,010
+جدّيش قيمة دي إيش بدنا نعمل هل في قوة هريم متأثرة
+
+173
+00:13:30,010 --> 00:13:34,390
+على الشخص لـ700 و 200 وزنهأول حاجة summation
+
+174
+00:13:34,390 --> 00:13:37,930
+للفارس في اتجاه ال X بيساوي 0 summation للفارس في
+
+175
+00:13:37,930 --> 00:13:40,730
+اتجاه ال Y بيساوي 0 summation لل تورد حوالين
+
+176
+00:13:40,730 --> 00:13:44,070
+النقطة A بيساوي 0 وين النقطة A أخدها؟ ولا تكن هذه
+
+177
+00:13:44,070 --> 00:13:47,410
+ولا تكن هذه، أي نقطة بدي إياها summation للفارس في
+
+178
+00:13:47,410 --> 00:13:51,990
+اتجاه ال X بيساوي 0 في عنده في اتجاه ال X F S
+
+179
+00:13:51,990 --> 00:13:56,030
+وكمان maximum لأن أقصى قيمة بدي إياها بيكون على
+
+180
+00:13:56,030 --> 00:14:03,860
+وشك الإنزلاء عكسها ال N ناقص ال N بيساوي 0طيب
+
+181
+00:14:03,860 --> 00:14:08,100
+المعادلة التانية fy إيش في عندي في اتجاه ال y عندي
+
+182
+00:14:08,100 --> 00:14:13,180
+ان واحد لأعلى وعندي ناقص سبع ميلا أسفل هذا بيثاو
+
+183
+00:14:13,180 --> 00:14:19,300
+Zero وفي كمان عندي شخص السلم وزن السلم جداش احنا
+
+184
+00:14:19,300 --> 00:14:22,820
+نسيه ان وزن السلم بيكون في المنتصف لذا في عندي
+
+185
+00:14:22,820 --> 00:14:27,500
+كمان وزن السلم بيقول ناقص متين وزن السلم هذا بيثاو
+
+186
+00:14:27,500 --> 00:14:31,500
+Zeroبعد ذلك استعمل ال torque حول النقطة ايه
+
+187
+00:14:31,500 --> 00:14:36,700
+والتاكوين النقطة ايه هنا هذه القوة ال Fs والان
+
+188
+00:14:36,700 --> 00:14:42,780
+واحد بالتغيوب ليش لأنه بتمر بنقطة الدوران ايش بيظل
+
+189
+00:14:42,780 --> 00:14:47,020
+عندك ال 700 في دراعه هاي ال 700 وين دراعها البعد
+
+190
+00:14:47,020 --> 00:14:51,720
+العمودي بقى أسكت من نقطة الدوران جدش هذه القيمة
+
+191
+00:14:51,720 --> 00:14:55,720
+هذه الزاوية theta دي هذا المسافة مثلث
+
+192
+00:15:00,250 --> 00:15:06,770
+هذه القوة السبعمية وهذه نقطة الدوران أسقفة عمود
+
+193
+00:15:06,770 --> 00:15:11,170
+هذه المسافة هي اللي بتلزمنا جدش قيمتها زوجي ثيتا
+
+194
+00:15:11,170 --> 00:15:17,170
+هنا دي كسايم ثيتاهذه المسافة دي اذا اول حاجة
+
+195
+00:15:17,170 --> 00:15:21,830
+بالموجب ولا بالسالب نشوف فين الموجب هيو هذا الأسفل
+
+196
+00:15:21,830 --> 00:15:25,770
+هي نقطة الدوران سببته في نقطة الدوران بتدور زي هيك
+
+197
+00:15:25,770 --> 00:15:29,550
+200 بتدور زي هيك بس نقطة الدوران بحد نقطة الدوران
+
+198
+00:15:29,550 --> 00:15:35,190
+بارتكز عليها الأن هذا راحت عند هنا هي اتجاهها
+
+199
+00:15:35,190 --> 00:15:39,030
+بتدورها في اتجاه معكس اذا هذا سالب سالب وهذا موجب
+
+200
+00:15:39,030 --> 00:15:45,860
+اذا حيكون عنده بساوي Zero Zero سبعميةو200 القوة
+
+201
+00:15:45,860 --> 00:15:52,340
+اللي موجودة عنده هو ال N سبعمية قولنا بالسالب وهذا
+
+202
+00:15:52,340 --> 00:15:59,240
+بالسالب وهذا بالموجة سبعمية في دراحة في D كوسين طب
+
+203
+00:15:59,240 --> 00:16:04,740
+نجي ل ال 200 هاي ال 200 هاي خط عملها وهي نقطة
+
+204
+00:16:04,740 --> 00:16:08,520
+الإسقاط العمول هذا المسافر L على 2 مثلث زي هذا L
+
+205
+00:16:08,520 --> 00:16:14,870
+على 2 كوسين الزاوية L على 2 كوسين ثيتابتظهر الان
+
+206
+00:16:14,870 --> 00:16:20,470
+وهي الخط عملها وهي نقطة الدورة هذه المسافة بقدر
+
+207
+00:16:20,470 --> 00:16:23,670
+أجيبها أسقطت عموض حطت مساكة انديل القلم وأسقطت
+
+208
+00:16:23,670 --> 00:16:31,570
+عمود على خط عمل القوة هذا طوله L وهذا ثيتا وهذا
+
+209
+00:16:31,570 --> 00:16:38,230
+ثيتا على حرف Z بالتبادل إذا هنا المقابل sign إذا L
+
+210
+00:16:38,230 --> 00:16:46,670
+sin ثيتا في L sin ثيتاكل هذا بيساوي Zero الالعطاني
+
+211
+00:16:46,670 --> 00:16:51,690
+قيمته ستة متر اعوض ستة متر ستة متر الان في نقطة
+
+212
+00:16:51,690 --> 00:16:57,010
+بدي اقولها ال Fs اللي هي لقب N واحد يعني هنا ال Fs
+
+213
+00:16:57,010 --> 00:17:01,830
+و ال N مش انا عارف انه ال Fs Maximum نكتبها هنا Fs
+
+214
+00:17:01,830 --> 00:17:09,350
+Maximum بتساوي Mu S في N واحدلذن بقدر اشيل هنا و
+
+215
+00:17:09,350 --> 00:17:16,170
+اكتب ميو اس في ان واحد ميو اس في ان واحد و بعدين
+
+216
+00:17:16,170 --> 00:17:20,890
+ان واحد هي موجود عندى و ان واحد موجود عندى هنا اف
+
+217
+00:17:20,890 --> 00:17:25,670
+اس هو علاقتها بالان بطلع الاف اعطاني معامل
+
+218
+00:17:25,670 --> 00:17:28,970
+الاحتجار قيمته نص ميو اس في ان واحد طلعت الاف اس
+
+219
+00:17:28,970 --> 00:17:33,210
+بطلع عوض هنا بطلع قيمة الاف اس بطلع قيمة الان بعوض
+
+220
+00:17:33,210 --> 00:17:38,780
+عن الان بطلع قيمة الديأول حاجة بشيل هذه 6 متر 6
+
+221
+00:17:38,780 --> 00:17:44,420
+متر زوية 30 زوية 30 مجهولين D و N كيف بدي أجيب ال
+
+222
+00:17:44,420 --> 00:17:50,100
+N عشان أطلع ال D ان واحد من هذه المعادلة تصبح 900
+
+223
+00:17:50,100 --> 00:17:55,090
+قيمته ان واحد سوى 900 ان واحد بعوضها هناهذه معروفة
+
+224
+00:17:55,090 --> 00:17:59,630
+نصف بطلع FS بعوض عن FS بطلع N بمسك ال N و بعوضها
+
+225
+00:17:59,630 --> 00:18:04,510
+هنا و بطلع قيمة D و هيك بقولكم يعطيكم العافية و
+
+226
+00:18:04,510 --> 00:18:09,730
+ربنا يوفقكم و يشدوا حالكم المادة حاولوا تلو قدر
+
+227
+00:18:09,730 --> 00:18:11,290
+أكبر من الأسئلة
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/rsI-B_7plXQ_raw.json b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/rsI-B_7plXQ_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..ae1ea1667943ac6fbb054e9059d2546e1b03e67b
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/rsI-B_7plXQ_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 3235, "start": 5.15, "end": 32.35, "text": "بسم الله الرحمن الرحيم اليوم عندنا شبطر 11 شبطر 11 بتكلم عن ال static equilibrium ال static equilibrium اي جسم متزن هذا الجسم متزن ايش لازم يكون عليه بيكون محصلة القوة المؤثر عليها بتساوي zero انا بعرف انه في قوة على الجامعين بتجبيلها قوة عليها ساعة قوة فوق بتقويلها قوة تحت لكن وجدنا انه في مشكلة لو انا في قوة من فوق", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 45595, 20498, 43242, 8315, 13412, 3555, 9566, 2288, 2975, 13412, 3555, 9566, 2288, 2975, 39894, 4117, 19528, 18871, 2423, 13437, 15625, 2423, 13437, 15625, 1975, 1829, 10874, 38251, 44650, 11622, 1863, 23758, 25724, 38251, 44650, 11622, 1863, 1975, 1829, 8592, 5296, 31377, 2304, 7251, 30544, 47356, 4724, 1829, 30544, 3714, 5016, 36520, 3660, 25062, 2407, 3660, 9673, 33604, 49115, 25894, 11296, 39894, 3794, 995, 45865, 4018, 1975, 8315, 45030, 28480, 16472, 3224, 8978, 12174, 2407, 3660, 15844, 25724, 10943, 3615, 9957, 39894, 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او نقطة الدورة وين ما بدك و تقول ال summation حواليها بيساوي zero دايما بحاول قدر الإمكان اخد في نقطة ألغي كم أكبر من القوة لو انا أخدت هنا عندي نقطة A", "tokens": [1211, 8848, 1863, 8978, 28242, 21542, 6027, 9307, 23758, 2423, 32887, 2655, 19446, 4724, 25708, 13063, 8592, 15844, 21542, 31845, 3660, 4724, 26895, 5172, 8592, 49429, 4724, 26895, 5172, 15844, 21542, 31845, 3660, 16712, 7649, 10632, 49429, 4724, 26895, 5172, 11331, 2407, 6027, 9957, 9673, 31747, 11622, 5296, 8848, 1863, 8978, 29538, 21542, 6027, 3660, 16472, 2655, 3714, 9778, 13546, 16472, 4117, 6055, 47283, 3215, 32748, 13063, 3660, 1975, 2407, 8717, 47432, 3660, 32748, 13063, 3660, 4032, 9957, 19446, 47525, 4117, 4032, 6055, 39648, 2423, 28811, 11331, 2407, 6027, 1829, 11296, 4724, 1829, 3794, 995, 45865, 4018, 11778, 47302, 15042, 4724, 5016, 995, 12610, 12174, 3215, 2288, 33688, 2304, 41361, 1975, 9778, 3215, 8978, 8717, 47432, 3660, 5551, 1211, 17082, 1829, 9122, 2304, 5551, 4117, 26890, 9154, 25062, 2407, 3660, 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" الان", "probability": 0.970703125}, {"start": 1053.53, "end": 1054.01, "word": " بطلع", "probability": 0.931884765625}, {"start": 1054.01, "end": 1054.55, "word": " قيمة", "probability": 0.98876953125}, {"start": 1054.55, "end": 1054.97, "word": " الدي", "probability": 0.677490234375}], "temperature": 1.0}, {"id": 43, "seek": 107396, "start": 1055.78, "end": 1073.96, "text": "أول حاجة بشيل هذه 6 متر 6 متر زوية 30 زوية 30 مجهولين D و N كيف بدي أجيب ال N عشان أطلع ال D ان واحد من هذه المعادلة تصبح 900 قيمته ان واحد سوى 900 ان واحد بعوضها هنا", "tokens": [10721, 12610, 11331, 26108, 3660, 4724, 8592, 26895, 29538, 1386, 44650, 2288, 1386, 44650, 2288, 30767, 2407, 10632, 2217, 30767, 2407, 10632, 2217, 3714, 7435, 3224, 12610, 9957, 413, 4032, 426, 9122, 33911, 4724, 16254, 5551, 7435, 1829, 3555, 2423, 426, 6225, 8592, 7649, 5551, 9566, 1211, 3615, 2423, 413, 16472, 36764, 24401, 9154, 29538, 9673, 3615, 18513, 37977, 6055, 9381, 49628, 22016, 12174, 32640, 47395, 16472, 36764, 24401, 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0.7131754557291666}, {"start": 1065.16, "end": 1065.58, "word": " أطلع", "probability": 0.8447265625}, {"start": 1065.58, "end": 1065.7, "word": " ال", "probability": 0.89208984375}, {"start": 1065.7, "end": 1066.56, "word": " D", "probability": 0.98046875}, {"start": 1066.56, "end": 1067.36, "word": " ان", "probability": 0.365966796875}, {"start": 1067.36, "end": 1067.82, "word": " واحد", "probability": 0.98828125}, {"start": 1067.82, "end": 1068.3, "word": " من", "probability": 0.97021484375}, {"start": 1068.3, "end": 1068.58, "word": " هذه", "probability": 0.97216796875}, {"start": 1068.58, "end": 1069.18, "word": " المعادلة", "probability": 0.9697265625}, {"start": 1069.18, "end": 1069.6, "word": " تصبح", "probability": 0.8068033854166666}, {"start": 1069.6, "end": 1070.1, "word": " 900", "probability": 0.91796875}, {"start": 1070.1, "end": 1070.6, "word": " قيمته", "probability": 0.9383138020833334}, {"start": 1070.6, "end": 1070.72, "word": " ان", "probability": 0.33251953125}, {"start": 1070.72, "end": 1070.98, "word": " واحد", "probability": 0.978515625}, {"start": 1070.98, "end": 1071.26, "word": " سوى", "probability": 0.561279296875}, {"start": 1071.26, "end": 1071.8, "word": " 900", "probability": 0.94775390625}, {"start": 1071.8, "end": 1072.84, "word": " ان", "probability": 0.473388671875}, {"start": 1072.84, "end": 1073.12, "word": " واحد", "probability": 0.9873046875}, {"start": 1073.12, "end": 1073.64, "word": " بعوضها", "probability": 0.8486328125}, {"start": 1073.64, "end": 1073.96, "word": " هنا", "probability": 0.98681640625}], "temperature": 1.0}, {"id": 44, "seek": 109129, "start": 1074.41, "end": 1091.29, "text": "هذه معروفة نصف بطلع FS بعوض عن FS بطلع N بمسك ال N و بعوضها هنا و بطلع قيمة D و هيك بقولكم يعطيكم العافية و ربنا يوفقكم و يشدوا حالكم المادة حاولوا تلو قدر أكبر من الأسئلة", "tokens": [3224, 24192, 20449, 32887, 5172, 3660, 8717, 9381, 5172, 4724, 9566, 1211, 3615, 41138, 45030, 2407, 11242, 18871, 41138, 4724, 9566, 1211, 3615, 426, 4724, 2304, 3794, 4117, 2423, 426, 4032, 45030, 2407, 11242, 11296, 34105, 4032, 4724, 9566, 1211, 3615, 12174, 32640, 3660, 413, 4032, 39896, 4117, 4724, 39648, 24793, 37495, 9566, 1829, 24793, 18863, 31845, 10632, 4032, 12602, 3555, 8315, 7251, 38688, 4587, 24793, 4032, 7251, 8592, 3215, 14407, 11331, 6027, 24793, 9673, 18513, 3660, 11331, 995, 12610, 14407, 6055, 1211, 2407, 12174, 3215, 2288, 5551, 4117, 26890, 9154, 16247, 3794, 19986, 37977], "avg_logprob": -0.22119141183793545, "compression_ratio": 1.664804469273743, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 1074.41, "end": 1074.73, "word": "هذه", "probability": 0.536376953125}, {"start": 1074.73, "end": 1075.09, "word": " معروفة", "probability": 0.8355712890625}, {"start": 1075.09, "end": 1075.39, "word": " نصف", "probability": 0.7023111979166666}, {"start": 1075.39, "end": 1075.73, "word": " بطلع", "probability": 0.71478271484375}, {"start": 1075.73, "end": 1076.13, "word": " FS", "probability": 0.2822265625}, {"start": 1076.13, "end": 1076.57, "word": " بعوض", "probability": 0.774658203125}, {"start": 1076.57, "end": 1076.69, "word": " عن", "probability": 0.9375}, {"start": 1076.69, "end": 1077.09, "word": " FS", "probability": 0.9365234375}, {"start": 1077.09, "end": 1077.61, "word": " بطلع", "probability": 0.9267578125}, {"start": 1077.61, "end": 1077.89, "word": " N", "probability": 0.91162109375}, {"start": 1077.89, "end": 1078.73, "word": " بمسك", "probability": 0.8975830078125}, {"start": 1078.73, "end": 1078.85, "word": " ال", "probability": 0.94091796875}, {"start": 1078.85, "end": 1079.05, "word": " N", "probability": 0.81396484375}, {"start": 1079.05, "end": 1079.17, "word": " و", "probability": 0.578125}, {"start": 1079.17, "end": 1079.63, "word": " بعوضها", "probability": 0.9124755859375}, {"start": 1079.63, "end": 1079.91, "word": " هنا", "probability": 0.97998046875}, {"start": 1079.91, "end": 1080.05, "word": " و", "probability": 0.5}, {"start": 1080.05, "end": 1080.39, "word": " بطلع", "probability": 0.9488525390625}, {"start": 1080.39, "end": 1080.97, "word": " قيمة", "probability": 0.9866536458333334}, {"start": 1080.97, "end": 1081.31, "word": " D", "probability": 0.2265625}, {"start": 1081.31, "end": 1082.15, "word": " و", "probability": 0.3876953125}, {"start": 1082.15, "end": 1082.39, "word": " هيك", "probability": 0.86767578125}, {"start": 1082.39, "end": 1082.73, "word": " بقولكم", "probability": 0.5340169270833334}, {"start": 1082.73, "end": 1083.19, "word": " يعطيكم", "probability": 0.9215087890625}, {"start": 1083.19, "end": 1083.73, "word": " العافية", "probability": 0.955078125}, {"start": 1083.73, "end": 1084.51, "word": " و", "probability": 0.9189453125}, {"start": 1084.51, "end": 1084.93, "word": " ربنا", "probability": 0.9754231770833334}, {"start": 1084.93, "end": 1086.31, "word": " يوفقكم", "probability": 0.947998046875}, {"start": 1086.31, "end": 1086.79, "word": " و", "probability": 0.9794921875}, {"start": 1086.79, 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/s2Dp_ooViNo_postprocess.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/s2Dp_ooViNo_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..addb21a20bbbb175f04d757ef21a102b227c881c
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/s2Dp_ooViNo_postprocess.srt
@@ -0,0 +1,520 @@
+1
+00:00:05,650 --> 00:00:09,090
+بسم الله الرحمن الرحيم اليوم ان شاء الله نكمل في
+
+2
+00:00:09,090 --> 00:00:13,070
+حد المحاضرة نكمل اللي هو chapter 10 او ناخد جزء
+
+3
+00:00:13,070 --> 00:00:16,930
+منه chapter 10 نجي نكمل على ال rotation kinetic
+
+4
+00:00:16,930 --> 00:00:21,930
+energy طبعا في عندي linear kinetic energy اللي هو
+
+5
+00:00:21,930 --> 00:00:25,530
+ال kinetic energy او rotation kinetic energy لان
+
+6
+00:00:25,530 --> 00:00:28,570
+انا في عندي rotation في هذا ال chapter بدي احسب ال
+
+7
+00:00:28,570 --> 00:00:33,040
+kinetic energy اللي الجسم بيدور هاي جلم مدةوبيلف
+
+8
+00:00:33,040 --> 00:00:38,760
+قاعد هذا القلب في مكانه بيلف بتحرك في مكانه قدش في
+
+9
+00:00:38,760 --> 00:00:41,600
+عنده kinetic energy مثلا بتحرك فيله kinetic energy
+
+10
+00:00:41,600 --> 00:00:46,020
+قدش قيمة ال kinetic energy اللي بتحرك فيه لكن لو
+
+11
+00:00:46,020 --> 00:00:49,940
+كان خط هذا جسم بتحرك زي هيك في عنده kinetic energy
+
+12
+00:00:49,940 --> 00:00:55,320
+له حركة في كل الحالتين في حركة دورانية او في حركة
+
+13
+00:00:55,320 --> 00:01:00,740
+ماالها خطية في طاقة حركةدوراني و في طاقة حركة خطية
+
+14
+00:01:00,740 --> 00:01:04,120
+و لازم التنتين يكونوا مرتبطه حلاقي انه في ارتباط
+
+15
+00:01:04,120 --> 00:01:08,660
+بينهم بعيد ذلك نيجي لو انا اعتبرت في جسم عندى
+
+16
+00:01:08,660 --> 00:01:14,840
+بيدور جسم اي ان كان كرة و بقعد بتلف واخدتلي نقطة
+
+17
+00:01:14,840 --> 00:01:23,020
+او جسم صغير جدا كتلته M I و بتحرك بسرعة V I مماث
+
+18
+00:01:23,020 --> 00:01:27,220
+طبعا للدائرة اللي بتحرك فيهاو انا اعتبرت هذه جزء
+
+19
+00:01:27,220 --> 00:01:31,720
+من الدقاء الصراعي بتكون في هذه الحالة ممثل هذه
+
+20
+00:01:31,720 --> 00:01:40,050
+الدقاء اللي اسمه V-inertia V-I سميتها V-Iلكن كائن
+
+21
+00:01:40,050 --> 00:01:48,810
+تيك انيرجي لهذا الجسم هيتحرك نص ام في V تربيه بس
+
+22
+00:01:48,810 --> 00:01:54,390
+رمزه I I طب لو فيك جسم تاني ام واحد بسمي ام واحد V
+
+23
+00:01:54,390 --> 00:01:59,130
+واحد square نص ام V اتنين نص ام اتنين V اتنين
+
+24
+00:01:59,130 --> 00:02:03,450
+square تلاتة ام تلاتة V تلاتة square و هكذا لكن
+
+25
+00:02:03,450 --> 00:02:09,960
+انا ماخدي ال V قبل ذلك بتسوي R في Omegaلذن لما
+
+26
+00:02:09,960 --> 00:02:16,440
+اعوض هنا عن ال V بطلع عنده ال kinetic energy لهذا
+
+27
+00:02:16,440 --> 00:02:21,520
+الجسم اللي انا اخدته بستوى نص ال M زي ما هي ال V
+
+28
+00:02:21,520 --> 00:02:27,060
+عوضت عنها R في Omega خدلي هذا الكلام لحالك بين
+
+29
+00:02:27,060 --> 00:02:32,380
+جسامي ايش بيصير عنده ال kinetic energy نص M I R I
+
+30
+00:02:32,380 --> 00:02:37,260
+squareوميجا سكوير قبل اعمل للأول للجسم الأول
+
+31
+00:02:37,260 --> 00:02:40,620
+والجسم التاني والتالت والرابع والخامس والسادس و
+
+32
+00:02:40,620 --> 00:02:43,380
+جمعهم مش انت في الآخر بدك تجيب القوانين الكنيرجيا
+
+33
+00:02:43,380 --> 00:02:49,020
+لهذا الجسم الجسم الجسم كله عبارة عن جسيمات وجمعتهم
+
+34
+00:02:49,020 --> 00:02:51,280
+القوانين الكنيرجيا للأول للتاني للتالت للرابع
+
+35
+00:02:51,280 --> 00:02:54,730
+للملجي للمليونو في الآخر summation انهم بعطين طاقة
+
+36
+00:02:54,730 --> 00:02:58,570
+ايش الكلية لهذا الطاقة الدورانية الكلية طاقة
+
+37
+00:02:58,570 --> 00:03:02,470
+الحركة الدورانية الكلية لهذا الجسم الجسم اللي
+
+38
+00:03:02,470 --> 00:03:07,650
+موجود عندك اذا بدنا نعمل summation فكرة الطرفين ال
+
+39
+00:03:07,650 --> 00:03:11,050
+summation ال key بتعطي .. ال كلية بتعطينا ال
+
+40
+00:03:11,050 --> 00:03:15,350
+summation لل key ال keys الجزئية و بتسوى نص
+
+41
+00:03:15,350 --> 00:03:18,530
+كونستان و summation زي التكامل
+
+42
+00:03:21,050 --> 00:03:26,330
+الـ summation والتكامل ال constant بتطلع منهم و ال
+
+43
+00:03:26,330 --> 00:03:30,790
+omega مانساش كمان مرة ال omega لما انا ذكرتها لل
+
+44
+00:03:30,790 --> 00:03:36,650
+رود و هذا بيدورهو بيصلّه هنا جتابت omega واحد
+
+45
+00:03:36,650 --> 00:03:39,790
+بيسوي omega اتنين بيسوي omega تلاتة بيسوي omega ال
+
+46
+00:03:39,790 --> 00:03:44,830
+omega مالها كونستر ايش بيظل عندى ام واحد في ار
+
+47
+00:03:44,830 --> 00:03:49,150
+واحد ام اتنين في ار اتنين ام تلاتة في ار تلاتة ام
+
+48
+00:03:49,150 --> 00:03:53,770
+اربع في ار اربع summation اللهم للام اي في ار اي
+
+49
+00:03:53,770 --> 00:04:01,130
+square هذا الجزء لحاله بنسميه اللي هو ال I
+
+50
+00:04:04,840 --> 00:04:10,220
+نص I نص كونسترون طلعته وهذا هو عبارة عن ال
+
+51
+00:04:10,220 --> 00:04:17,840
+summation I omega square I بسميها moment of
+
+52
+00:04:17,840 --> 00:04:23,240
+inertia والقصور الذاتي
+
+53
+00:04:24,360 --> 00:04:29,380
+إذا ال I بيساوي ال summation م I او I² طب لو كان
+
+54
+00:04:29,380 --> 00:04:33,360
+continuous هدوش و سيمات لو احتفظت continuous و جسم
+
+55
+00:04:33,360 --> 00:04:38,740
+صغير جدا ممكن أحول ال summation لإيش لتكامل R
+
+56
+00:04:38,740 --> 00:04:43,300
+تربيع و هد عبارة M1 الدلت M1 الدلت M2 الدلت M3 هي
+
+57
+00:04:43,300 --> 00:04:48,440
+DM لما تقول مين لل Zero إذا ال I قيمته بيساوي
+
+58
+00:04:48,440 --> 00:04:55,910
+تكامل R تربيع DM ماشيطبعا انا مش مطلوب انك تحفظ
+
+59
+00:04:55,910 --> 00:05:02,130
+لكل جسم له I مختلفة عن التاني طبعا هي في صورة
+
+60
+00:05:02,130 --> 00:05:07,890
+بتبين اي sample door اللي عنده هنا استوانة عند
+
+61
+00:05:07,890 --> 00:05:14,420
+استوانة مجوفة استوانة مصممة نص MR تربيعكرة بدور
+
+62
+00:05:14,420 --> 00:05:20,000
+كرة مجوفة كرة عندي رود بدور رود بدور في المركز جدش
+
+63
+00:05:20,000 --> 00:05:24,260
+ال I لكل واحد أنا الآن هاخد مثال حتى أحسب ال I
+
+64
+00:05:24,260 --> 00:05:32,220
+بيقول في عندي رود و ال road هذا thin road و كتل
+
+65
+00:05:32,220 --> 00:05:38,580
+تقام و بيلف حوالين الحافة زي هيك و جاعد بيلف
+
+66
+00:05:38,580 --> 00:05:43,650
+حوالين الحافةبشكل ايه اش هدقني بدي احسب ال I في
+
+67
+00:05:43,650 --> 00:05:47,930
+حالتين لما يلف حوالين الحافة و لما يلف حوالين
+
+68
+00:05:47,930 --> 00:05:52,870
+السنتة جدّيش ال I في كل الحالتين ال I ايش بيساوي R
+
+69
+00:05:52,870 --> 00:05:59,990
+تربيع DM و ال R مقود في مين ال DM عنصر ببعد مسافة
+
+70
+00:05:59,990 --> 00:06:06,690
+X في علاقة بتربط ال DM في DX مرت علينا ايش سميتها
+
+71
+00:06:06,690 --> 00:06:07,490
+Lambda
+
+72
+00:06:10,710 --> 00:06:12,830
+لما يكون uniform distribution لما يكون uniform
+
+73
+00:06:12,830 --> 00:06:17,690
+distribution لما يكون uniform distribution لما
+
+74
+00:06:17,690 --> 00:06:19,890
+يكون uniform distribution لما يكون uniform
+
+75
+00:06:19,890 --> 00:06:22,850
+distribution لما يكون uniform distribution لما
+
+76
+00:06:22,850 --> 00:06:23,010
+يكون uniform distribution لما يكون uniform
+
+77
+00:06:23,010 --> 00:06:23,210
+distribution لما يكون uniform distribution لما
+
+78
+00:06:23,210 --> 00:06:23,310
+يكون uniform distribution لما يكون uniform
+
+79
+00:06:23,310 --> 00:06:23,350
+يكون uniform distribution لما يكون uniform
+
+80
+00:06:23,350 --> 00:06:23,370
+يكون uniform distribution لما يكون uniform
+
+81
+00:06:23,370 --> 00:06:25,610
+يكون uniform distribution لما يكون uniform
+
+82
+00:06:25,610 --> 00:06:32,090
+distribution لما يكون uniform distribution لما
+
+83
+00:06:32,090 --> 00:06:34,370
+يكون uniform distribution لما
+
+84
+00:06:36,660 --> 00:06:40,980
+ومنها DM بيساوي Lambda في DX DM بيساوي Lambda في
+
+85
+00:06:40,980 --> 00:06:46,400
+DX إذا الأن ال I بيساوي Lambda ثابت تطلع برا
+
+86
+00:06:46,400 --> 00:06:50,460
+التكامل بيصير عندي تكامل X تربيع DX X تربيع من أين
+
+87
+00:06:50,460 --> 00:06:53,160
+بتبدأ من هذا العنصر بتظهر زيدي زيدي زيدي لما تصل
+
+88
+00:06:53,160 --> 00:06:56,680
+لمين للحفظ التاني إذا ال X بتبدأ من Zero وتنتهي
+
+89
+00:06:56,680 --> 00:07:00,700
+عند X بيساوي L إذا الحدود تكامل من Zero لمين لL
+
+90
+00:07:01,690 --> 00:07:05,590
+هيطلع عند تكامل X تربيع X تكييب على تلاتة من Zero
+
+91
+00:07:05,590 --> 00:07:11,130
+ل L وبعوض اللي فوق ناقص اللي تحت بطلع عنده تلت L
+
+92
+00:07:11,130 --> 00:07:16,550
+تلت Lambda L Cube في هذه الحالة Lambda ايش بتساوي
+
+93
+00:07:16,550 --> 00:07:22,150
+M على L باختصر بطلع ال I قيمته تلت M على L تلت M
+
+94
+00:07:22,150 --> 00:07:26,890
+في L تربيع طب الآن لو كان الدور حوالين محمر تاني
+
+95
+00:07:26,890 --> 00:07:33,970
+هنا حوالين النصهل هيختلف اش كتير لأ هيختلف بس حدود
+
+96
+00:07:33,970 --> 00:07:39,810
+ايش التكامل هصير العنصر هذا اللي انا بدي اخده يبدأ
+
+97
+00:07:39,810 --> 00:07:45,870
+من وين يبدأ من سالب L على اتنين و يظل يزيد لمسل
+
+98
+00:07:45,870 --> 00:07:50,230
+زير و يصل لمن ل L على اتنين اذا حدود التكامل هي
+
+99
+00:07:50,230 --> 00:07:54,710
+اللي بتختلف من سالب L على اتنين ل L على اتنين و
+
+100
+00:07:54,710 --> 00:08:01,680
+بطلع قيمته بعد ما اعوض بلا Gالـ I بيساوي 1112ML²
+
+101
+00:08:01,680 --> 00:08:06,680
+طب
+
+102
+00:08:06,680 --> 00:08:10,540
+الآن في ملخص الكلام اللي أخدته أنه في عندي حاجة
+
+103
+00:08:10,540 --> 00:08:16,380
+اسمها الـkinetic للـ rotation بتساوي نص I Omega
+
+104
+00:08:16,380 --> 00:08:23,060
+Square وفي عندي حاجة الـ I إيش هي تكامل اللي هو R²
+
+105
+00:08:23,060 --> 00:08:23,880
+DM
+
+106
+00:08:27,040 --> 00:08:32,520
+طيب ال kinetic energy هتلزمني ولا لأ هتلزمني كل
+
+107
+00:08:32,520 --> 00:08:36,900
+معادلات اللى كانت عندى او المسائل اللى كنت حلها و
+
+108
+00:08:36,900 --> 00:08:42,320
+في عندي فيها بكرة مثلا جسمين هنا جسم بدور وجسم ..
+
+109
+00:08:42,320 --> 00:08:46,740
+و هنا مثلا فى زمبرة مثلا او ضغط ع زمبرة ايش كنت
+
+110
+00:08:46,740 --> 00:08:52,600
+اقول E initial او E final البكرة كانت مالها مهمة
+
+111
+00:08:52,600 --> 00:08:54,920
+للان البكرة اشمالها بدور
+
+112
+00:08:57,180 --> 00:09:02,480
+لازم ادخله في الحساب جسم ام واحد و ام اتنين و ال
+
+113
+00:09:02,480 --> 00:09:08,220
+rotation للبكرة بده اقول E initial الجسم الاول الو
+
+114
+00:09:08,220 --> 00:09:12,800
+U واحد initial زي K واحد initial الجسم التاني الو
+
+115
+00:09:12,800 --> 00:09:19,600
+طاقة وضع نين initial زي K نين initialالزنبارك هو
+
+116
+00:09:19,600 --> 00:09:24,920
+طاقة توضع spring in action البكرة كي روتيشن in
+
+117
+00:09:24,920 --> 00:09:28,740
+action و ال final نفس ال action هذا لما أبدأ أحل
+
+118
+00:09:28,740 --> 00:09:33,480
+المسألة بيصير ال rotation لازم أدخلها في الطاقة و
+
+119
+00:09:33,480 --> 00:09:38,540
+أجيب قيمتها قبل و قيمتها بعد و سوى التنين في بعض
+
+120
+00:09:38,540 --> 00:09:41,460
+إذا كان فيش عند فريكشن إذا كان فريكشن في عند ال W
+
+121
+00:09:41,460 --> 00:09:44,920
+non conservative force بيساوي ال E final لاقص ال E
+
+122
+00:09:44,920 --> 00:09:49,630
+in actionطبعا اخر حاجة احنا قولناها ان هو في عند
+
+123
+00:09:49,630 --> 00:09:53,610
+النقطين اللي هو الkinetic energy والkinetic ..
+
+124
+00:09:53,610 --> 00:09:58,840
+الkinetic energy rotation وال .. وال Iهذه
+
+125
+00:09:58,840 --> 00:10:01,040
+المعلومتين اللي أخدناها لليوم ممكن نحل عليها
+
+126
+00:10:01,040 --> 00:10:04,740
+مجموعة من الأسئلة بعد ذلك و في الآخر بدي أقولكوا
+
+127
+00:10:04,740 --> 00:10:07,100
+يعطيكوا العافية الآن و نحاول نكمل في المحاضرة
+
+128
+00:10:07,100 --> 00:10:09,840
+الجاية الموضوع اللي .. اللي بدو يجيناه اللي هو
+
+129
+00:10:09,840 --> 00:10:15,040
+التورب كجزئية يلحق لها لإن التورب بده مفاهيم نتعرف
+
+130
+00:10:15,040 --> 00:10:16,280
+عليها يعطيكوا العافية الآن
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/s2Dp_ooViNo_raw.json b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/s2Dp_ooViNo_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..05f9e1aa146693fc5d8531608e4c9ffa50fb1460
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/s2Dp_ooViNo_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 3151, "start": 5.65, "end": 31.51, "text": "بسم الله الرحمن الرحيم اليوم ان شاء الله نكمل في حد المحاضرة نكمل اللي هو chapter 10 او ناخد جزء منه chapter 10 نجي نكمل على ال rotation kinetic energy طبعا في عندي linear kinetic energy اللي هو ال kinetic energy او rotation kinetic energy لان انا في عندي rotation في هذا ال chapter بدي احسب ال kinetic energy اللي الجسم بيدور هاي جلم مدة", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 45595, 20498, 16472, 13412, 16606, 21984, 8717, 24793, 1211, 8978, 11331, 3215, 9673, 5016, 46958, 25720, 8717, 24793, 1211, 13672, 1829, 31439, 7187, 1266, 1975, 2407, 8717, 47283, 3215, 10874, 11622, 38207, 9154, 3224, 7187, 1266, 8717, 7435, 1829, 8717, 24793, 1211, 15844, 2423, 12447, 27135, 2281, 23032, 3555, 3615, 995, 8978, 18871, 16254, 8213, 27135, 2281, 13672, 1829, 31439, 2423, 27135, 2281, 1975, 2407, 12447, 27135, 2281, 5296, 7649, 1975, 8315, 8978, 18871, 16254, 12447, 8978, 23758, 2423, 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/s2Dp_ooViNo_raw.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/s2Dp_ooViNo_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..40eec8103c95bea261ed7fb151bbd57298a4f56f
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/s2Dp_ooViNo_raw.srt
@@ -0,0 +1,572 @@
+1
+00:00:05,650 --> 00:00:09,090
+بسم الله الرحمن الرحيم اليوم ان شاء الله نكمل في
+
+2
+00:00:09,090 --> 00:00:13,070
+حد المحاضرة نكمل اللي هو chapter 10 او ناخد جزء
+
+3
+00:00:13,070 --> 00:00:16,930
+منه chapter 10 نجي نكمل على ال rotation kinetic
+
+4
+00:00:16,930 --> 00:00:21,930
+energy طبعا في عندي linear kinetic energy اللي هو
+
+5
+00:00:21,930 --> 00:00:25,530
+ال kinetic energy او rotation kinetic energy لان
+
+6
+00:00:25,530 --> 00:00:28,570
+انا في عندي rotation في هذا ال chapter بدي احسب ال
+
+7
+00:00:28,570 --> 00:00:33,040
+kinetic energy اللي الجسم بيدور هاي جلم مدةوبيلف
+
+8
+00:00:33,040 --> 00:00:38,760
+قاعد هذا القلب في مكانه بيلف بتحرك في مكانه قدش في
+
+9
+00:00:38,760 --> 00:00:41,600
+عنده kinetic energy مثلا بتحرك فيله kinetic energy
+
+10
+00:00:41,600 --> 00:00:46,020
+قدش قيمة ال kinetic energy اللي بتحرك فيه لكن لو
+
+11
+00:00:46,020 --> 00:00:49,940
+كان خط هذا جسم بتحرك زي هيك في عنده kinetic energy
+
+12
+00:00:49,940 --> 00:00:55,320
+له حركة في كل الحالتين في حركة دورانية او في حركة
+
+13
+00:00:55,320 --> 00:01:00,740
+ماالها خطية في طاقة حركةدوراني و في طاقة حركة خطية
+
+14
+00:01:00,740 --> 00:01:04,120
+و لازم التنتين يكونوا مرتبطه حلاقي انه في ارتباط
+
+15
+00:01:04,120 --> 00:01:08,660
+بينهم بعيد ذلك نيجي لو انا اعتبرت في جسم عندى
+
+16
+00:01:08,660 --> 00:01:14,840
+بيدور جسم اي ان كان كرة و بقعد بتلف واخدتلي نقطة
+
+17
+00:01:14,840 --> 00:01:23,020
+او جسم صغير جدا كتلته M I و بتحرك بسرعة V I مماث
+
+18
+00:01:23,020 --> 00:01:27,220
+طبعا للدائرة اللي بتحرك فيهاو انا اعتبرت هذه جزء
+
+19
+00:01:27,220 --> 00:01:31,720
+من الدقاء الصراعي بتكون في هذه الحالة ممثل هذه
+
+20
+00:01:31,720 --> 00:01:40,050
+الدقاء اللي اسمه V-inertia V-I سميتها V-Iلكن كائن
+
+21
+00:01:40,050 --> 00:01:48,810
+تيك انيرجي لهذا الجسم هيتحرك نص ام في V تربيه بس
+
+22
+00:01:48,810 --> 00:01:54,390
+رمزه I I طب لو فيك جسم تاني ام واحد بسمي ام واحد V
+
+23
+00:01:54,390 --> 00:01:59,130
+واحد square نص ام V اتنين نص ام اتنين V اتنين
+
+24
+00:01:59,130 --> 00:02:03,450
+square تلاتة ام تلاتة V تلاتة square و هكذا لكن
+
+25
+00:02:03,450 --> 00:02:09,960
+انا ماخدي ال V قبل ذلك بتسوي R في Omegaلذن لما
+
+26
+00:02:09,960 --> 00:02:16,440
+اعوض هنا عن ال V بطلع عنده ال kinetic energy لهذا
+
+27
+00:02:16,440 --> 00:02:21,520
+الجسم اللي انا اخدته بستوى نص ال M زي ما هي ال V
+
+28
+00:02:21,520 --> 00:02:27,060
+عوضت عنها R في Omega خدلي هذا الكلام لحالك بين
+
+29
+00:02:27,060 --> 00:02:32,380
+جسامي ايش بيصير عنده ال kinetic energy نص M I R I
+
+30
+00:02:32,380 --> 00:02:37,260
+squareوميجا سكوير قبل اعمل للأول للجسم الأول
+
+31
+00:02:37,260 --> 00:02:40,620
+والجسم التاني والتالت والرابع والخامس والسادس و
+
+32
+00:02:40,620 --> 00:02:43,380
+جمعهم مش انت في الآخر بدك تجيب القوانين الكنيرجيا
+
+33
+00:02:43,380 --> 00:02:49,020
+لهذا الجسم الجسم الجسم كله عبارة عن جسيمات وجمعتهم
+
+34
+00:02:49,020 --> 00:02:51,280
+القوانين الكنيرجيا للأول للتاني للتالت للرابع
+
+35
+00:02:51,280 --> 00:02:54,730
+للملجي للمليونو في الآخر summation انهم بعطين طاقة
+
+36
+00:02:54,730 --> 00:02:58,570
+ايش الكلية لهذا الطاقة الدورانية الكلية طاقة
+
+37
+00:02:58,570 --> 00:03:02,470
+الحركة الدورانية الكلية لهذا الجسم الجسم اللي
+
+38
+00:03:02,470 --> 00:03:07,650
+موجود عندك اذا بدنا نعمل summation فكرة الطرفين ال
+
+39
+00:03:07,650 --> 00:03:11,050
+summation ال key بتعطي .. ال كلية بتعطينا ال
+
+40
+00:03:11,050 --> 00:03:15,350
+summation لل key ال keys الجزئية و بتسوى نص
+
+41
+00:03:15,350 --> 00:03:18,530
+كونستان و summation زي التكامل
+
+42
+00:03:21,050 --> 00:03:26,330
+الـ summation والتكامل ال constant بتطلع منهم و ال
+
+43
+00:03:26,330 --> 00:03:30,790
+omega مانساش كمان مرة ال omega لما انا ذكرتها لل
+
+44
+00:03:30,790 --> 00:03:36,650
+رود و هذا بيدورهو بيصلّه هنا جتابت omega واحد
+
+45
+00:03:36,650 --> 00:03:39,790
+بيسوي omega اتنين بيسوي omega تلاتة بيسوي omega ال
+
+46
+00:03:39,790 --> 00:03:44,830
+omega مالها كونستر ايش بيظل عندى ام واحد في ار
+
+47
+00:03:44,830 --> 00:03:49,150
+واحد ام اتنين في ار اتنين ام تلاتة في ار تلاتة ام
+
+48
+00:03:49,150 --> 00:03:53,770
+اربع في ار اربع summation اللهم للام اي في ار اي
+
+49
+00:03:53,770 --> 00:04:01,130
+square هذا الجزء لحاله بنسميه اللي هو ال I
+
+50
+00:04:04,840 --> 00:04:10,220
+نص I نص كونسترون طلعته وهذا هو عبارة عن ال
+
+51
+00:04:10,220 --> 00:04:17,840
+summation I omega square I بسميها moment of
+
+52
+00:04:17,840 --> 00:04:23,240
+inertia والقصور الذاتي
+
+53
+00:04:24,360 --> 00:04:29,380
+إذا ال I بيساوي ال summation م I او I² طب لو كان
+
+54
+00:04:29,380 --> 00:04:33,360
+continuous هدوش و سيمات لو احتفظت continuous و جسم
+
+55
+00:04:33,360 --> 00:04:38,740
+صغير جدا ممكن أحول ال summation لإيش لتكامل R
+
+56
+00:04:38,740 --> 00:04:43,300
+تربيع و هد عبارة M1 الدلت M1 الدلت M2 الدلت M3 هي
+
+57
+00:04:43,300 --> 00:04:48,440
+DM لما تقول مين لل Zero إذا ال I قيمته بيساوي
+
+58
+00:04:48,440 --> 00:04:55,910
+تكامل R تربيع DM ماشيطبعا انا مش مطلوب انك تحفظ
+
+59
+00:04:55,910 --> 00:05:02,130
+لكل جسم له I مختلفة عن التاني طبعا هي في صورة
+
+60
+00:05:02,130 --> 00:05:07,890
+بتبين اي sample door اللي عنده هنا استوانة عند
+
+61
+00:05:07,890 --> 00:05:14,420
+استوانة مجوفة استوانة مصممة نص MR تربيعكرة بدور
+
+62
+00:05:14,420 --> 00:05:20,000
+كرة مجوفة كرة عندي رود بدور رود بدور في المركز جدش
+
+63
+00:05:20,000 --> 00:05:24,260
+ال I لكل واحد أنا الآن هاخد مثال حتى أحسب ال I
+
+64
+00:05:24,260 --> 00:05:32,220
+بيقول في عندي رود و ال road هذا thin road و كتل
+
+65
+00:05:32,220 --> 00:05:38,580
+تقام و بيلف حوالين الحافة زي هيك و جاعد بيلف
+
+66
+00:05:38,580 --> 00:05:43,650
+حوالين الحافةبشكل ايه اش هدقني بدي احسب ال I في
+
+67
+00:05:43,650 --> 00:05:47,930
+حالتين لما يلف حوالين الحافة و لما يلف حوالين
+
+68
+00:05:47,930 --> 00:05:52,870
+السنتة جدّيش ال I في كل الحالتين ال I ايش بيساوي R
+
+69
+00:05:52,870 --> 00:05:59,990
+تربيع DM و ال R مقود في مين ال DM عنصر ببعد مسافة
+
+70
+00:05:59,990 --> 00:06:06,690
+X في علاقة بتربط ال DM في DX مرت علينا ايش سميتها
+
+71
+00:06:06,690 --> 00:06:07,490
+Lambda
+
+72
+00:06:10,710 --> 00:06:12,830
+لما يكون uniform distribution لما يكون uniform
+
+73
+00:06:12,830 --> 00:06:17,690
+distribution لما يكون uniform distribution لما
+
+74
+00:06:17,690 --> 00:06:19,890
+يكون uniform distribution لما يكون uniform
+
+75
+00:06:19,890 --> 00:06:22,850
+distribution لما يكون uniform distribution لما
+
+76
+00:06:22,850 --> 00:06:22,850
+يكون uniform distribution لما يكون uniform
+
+77
+00:06:22,850 --> 00:06:22,850
+distribution لما يكون uniform distribution لما
+
+78
+00:06:22,850 --> 00:06:23,010
+يكون uniform distribution لما يكون uniform
+
+79
+00:06:23,010 --> 00:06:23,210
+distribution لما يكون uniform distribution لما
+
+80
+00:06:23,210 --> 00:06:23,210
+يكون uniform distribution لما يكون uniform
+
+81
+00:06:23,210 --> 00:06:23,210
+distribution لما يكون uniform distribution لما
+
+82
+00:06:23,210 --> 00:06:23,210
+يكون uniform distribution لما يكون uniform
+
+83
+00:06:23,210 --> 00:06:23,210
+distribution لما يكون uniform distribution لما
+
+84
+00:06:23,210 --> 00:06:23,210
+يكون uniform distribution لما يكون uniform
+
+85
+00:06:23,210 --> 00:06:23,210
+distribution لما يكون uniform distribution لما
+
+86
+00:06:23,210 --> 00:06:23,210
+يكون uniform distribution لما يكون uniform
+
+87
+00:06:23,210 --> 00:06:23,210
+distribution لما يكون uniform distribution لما
+
+88
+00:06:23,210 --> 00:06:23,310
+يكون uniform distribution لما يكون uniform
+
+89
+00:06:23,310 --> 00:06:23,310
+distribution لما يكون uniform distribution لما
+
+90
+00:06:23,310 --> 00:06:23,350
+يكون uniform distribution لما يكون uniform
+
+91
+00:06:23,350 --> 00:06:23,350
+distribution لما يكون uniform distribution لما
+
+92
+00:06:23,350 --> 00:06:23,370
+يكون uniform distribution لما يكون uniform
+
+93
+00:06:23,370 --> 00:06:23,370
+distribution لما يكون uniform distribution لما
+
+94
+00:06:23,370 --> 00:06:25,610
+يكون uniform distribution لما يكون uniform
+
+95
+00:06:25,610 --> 00:06:32,090
+distribution لما يكون uniform distribution لما
+
+96
+00:06:32,090 --> 00:06:34,370
+يكون uniform distribution لما
+
+97
+00:06:36,660 --> 00:06:40,980
+ومنها DM بيساوي Lambda في DX DM بيساوي Lambda في
+
+98
+00:06:40,980 --> 00:06:46,400
+DX إذا الأن ال I بيساوي Lambda ثابت تطلع برا
+
+99
+00:06:46,400 --> 00:06:50,460
+التكامل بيصير عندي تكامل X تربيع DX X تربيع من أين
+
+100
+00:06:50,460 --> 00:06:53,160
+بتبدأ من هذا العنصر بتظهر زيدي زيدي زيدي لما تصل
+
+101
+00:06:53,160 --> 00:06:56,680
+لمين للحفظ التاني إذا ال X بتبدأ من Zero وتنتهي
+
+102
+00:06:56,680 --> 00:07:00,700
+عند X بيساوي L إذا الحدود تكامل من Zero لمين لL
+
+103
+00:07:01,690 --> 00:07:05,590
+هيطلع عند تكامل X تربيع X تكييب على تلاتة من Zero
+
+104
+00:07:05,590 --> 00:07:11,130
+ل L وبعوض اللي فوق ناقص اللي تحت بطلع عنده تلت L
+
+105
+00:07:11,130 --> 00:07:16,550
+تلت Lambda L Cube في هذه الحالة Lambda ايش بتساوي
+
+106
+00:07:16,550 --> 00:07:22,150
+M على L باختصر بطلع ال I قيمته تلت M على L تلت M
+
+107
+00:07:22,150 --> 00:07:26,890
+في L تربيع طب الآن لو كان الدور حوالين محمر تاني
+
+108
+00:07:26,890 --> 00:07:33,970
+هنا حوالين النصهل هيختلف اش كتير لأ هيختلف بس حدود
+
+109
+00:07:33,970 --> 00:07:39,810
+ايش التكامل هصير العنصر هذا اللي انا بدي اخده يبدأ
+
+110
+00:07:39,810 --> 00:07:45,870
+من وين يبدأ من سالب L على اتنين و يظل يزيد لمسل
+
+111
+00:07:45,870 --> 00:07:50,230
+زير و يصل لمن ل L على اتنين اذا حدود التكامل هي
+
+112
+00:07:50,230 --> 00:07:54,710
+اللي بتختلف من سالب L على اتنين ل L على اتنين و
+
+113
+00:07:54,710 --> 00:08:01,680
+بطلع قيمته بعد ما اعوض بلا Gالـ I بيساوي 1112ML²
+
+114
+00:08:01,680 --> 00:08:06,680
+طب
+
+115
+00:08:06,680 --> 00:08:10,540
+الآن في ملخص الكلام اللي أخدته أنه في عندي حاجة
+
+116
+00:08:10,540 --> 00:08:16,380
+اسمها الـkinetic للـ rotation بتساوي نص I Omega
+
+117
+00:08:16,380 --> 00:08:23,060
+Square وفي عندي حاجة الـ I إيش هي تكامل اللي هو R²
+
+118
+00:08:23,060 --> 00:08:23,880
+DM
+
+119
+00:08:27,040 --> 00:08:32,520
+طيب ال kinetic energy هتلزمني ولا لأ هتلزمني كل
+
+120
+00:08:32,520 --> 00:08:36,900
+معادلات اللى كانت عندى او المسائل اللى كنت حلها و
+
+121
+00:08:36,900 --> 00:08:42,320
+في عندي فيها بكرة مثلا جسمين هنا جسم بدور وجسم ..
+
+122
+00:08:42,320 --> 00:08:46,740
+و هنا مثلا فى زمبرة مثلا او ضغط ع زمبرة ايش كنت
+
+123
+00:08:46,740 --> 00:08:52,600
+اقول E initial او E final البكرة كانت مالها مهمة
+
+124
+00:08:52,600 --> 00:08:54,920
+للان البكرة اشمالها بدور
+
+125
+00:08:57,180 --> 00:09:02,480
+لازم ادخله في الحساب جسم ام واحد و ام اتنين و ال
+
+126
+00:09:02,480 --> 00:09:08,220
+rotation للبكرة بده اقول E initial الجسم الاول الو
+
+127
+00:09:08,220 --> 00:09:12,800
+U واحد initial زي K واحد initial الجسم التاني الو
+
+128
+00:09:12,800 --> 00:09:19,600
+طاقة وضع نين initial زي K نين initialالزنبارك هو
+
+129
+00:09:19,600 --> 00:09:24,920
+طاقة توضع spring in action البكرة كي روتيشن in
+
+130
+00:09:24,920 --> 00:09:28,740
+action و ال final نفس ال action هذا لما أبدأ أحل
+
+131
+00:09:28,740 --> 00:09:33,480
+المسألة بيصير ال rotation لازم أدخلها في الطاقة و
+
+132
+00:09:33,480 --> 00:09:38,540
+أجيب قيمتها قبل و قيمتها بعد و سوى التنين في بعض
+
+133
+00:09:38,540 --> 00:09:41,460
+إذا كان فيش عند فريكشن إذا كان فريكشن في عند ال W
+
+134
+00:09:41,460 --> 00:09:44,920
+non conservative force بيساوي ال E final لاقص ال E
+
+135
+00:09:44,920 --> 00:09:49,630
+in actionطبعا اخر حاجة احنا قولناها ان هو في عند
+
+136
+00:09:49,630 --> 00:09:53,610
+النقطين اللي هو الkinetic energy والkinetic ..
+
+137
+00:09:53,610 --> 00:09:58,840
+الkinetic energy rotation وال .. وال Iهذه
+
+138
+00:09:58,840 --> 00:10:01,040
+المعلومتين اللي أخدناها لليوم ممكن نحل عليها
+
+139
+00:10:01,040 --> 00:10:04,740
+مجموعة من الأسئلة بعد ذلك و في الآخر بدي أقولكوا
+
+140
+00:10:04,740 --> 00:10:07,100
+يعطيكوا العافية الآن و نحاول نكمل في المحاضرة
+
+141
+00:10:07,100 --> 00:10:09,840
+الجاية الموضوع اللي .. اللي بدو يجيناه اللي هو
+
+142
+00:10:09,840 --> 00:10:15,040
+التورب كجزئية يلحق لها لإن التورب بده مفاهيم نتعرف
+
+143
+00:10:15,040 --> 00:10:16,280
+عليها يعطيكوا العافية الآن
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/sK1qnYVAgk4_postprocess.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/sK1qnYVAgk4_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..001ee4c94aa3bcc1c56195f68a7906273b5a9bdd
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/sK1qnYVAgk4_postprocess.srt
@@ -0,0 +1,1132 @@
+1
+00:00:05,670 --> 00:00:09,150
+يعطيكوا العافية اليوم نبدأ في chapter اتنين
+
+2
+00:00:09,150 --> 00:00:13,910
+chapter اتنين بتكلم عن ال linear motion طبعا
+
+3
+00:00:13,910 --> 00:00:20,810
+الحركة الخطية ال linear motion جسم لأي particle لو
+
+4
+00:00:20,810 --> 00:00:28,070
+في عندي جسم بتحرك من نقطة A وانتقل لنقطة B هذا
+
+5
+00:00:28,070 --> 00:00:32,930
+نقطة A بسميها initial position في عندي initial
+
+6
+00:00:32,930 --> 00:00:36,620
+position وفي عندي final positionPosition إذا هو
+
+7
+00:00:36,620 --> 00:00:41,080
+بتحرك من ال initial ل ال final initial ل ال final
+
+8
+00:00:41,080 --> 00:00:44,880
+لازم إذا انتقل من initial ل final لازم يكون عنده
+
+9
+00:00:44,880 --> 00:00:50,280
+سرعة السرعة هذه بدي أحسب قيمتها أول حاجة ممكن
+
+10
+00:00:50,280 --> 00:00:56,440
+ينتقل من ال initial ل ال final بسرعة ثابتةبسرعة
+
+11
+00:00:56,440 --> 00:01:01,000
+ثابتة و ممكن ينتقل من ال initial لل final بسرعات
+
+12
+00:01:01,000 --> 00:01:06,200
+متغيرة يعني السرعة تزيد تبدأ تقل تزيد يتوقف عند
+
+13
+00:01:06,200 --> 00:01:11,520
+نقطة ما في الآخر يصل مين للنقطة ال final إذا من ال
+
+14
+00:01:11,520 --> 00:01:15,820
+positionمن ال initial position لل final position
+
+15
+00:01:15,820 --> 00:01:21,280
+في عندي حاجة اسمها ال velocity ال velocity في
+
+16
+00:01:21,280 --> 00:01:24,460
+average احيانا لو قولنا انه ال velocity بتزيد و
+
+17
+00:01:24,460 --> 00:01:29,520
+بتقل في ممكن اخد متوسط لها ال average لها ال
+
+18
+00:01:29,520 --> 00:01:33,380
+average لل velocity هي الموضع ال ابتداء ال x
+
+19
+00:01:33,380 --> 00:01:36,740
+initial و ال x final هو اللي بيحدد و بيكون عنده
+
+20
+00:01:36,740 --> 00:01:42,160
+تغيرفى ال position على التغيير فى الزمن X final
+
+21
+00:01:42,160 --> 00:01:46,920
+position النهائى ناقص ال position الابتدائى على T
+
+22
+00:01:46,920 --> 00:01:51,220
+final ناقص T initial يعنى تغيير فى الإزاحة بالنسبة
+
+23
+00:01:51,220 --> 00:01:57,480
+للزمن طبعا ال particle ببدأ من نقطة و لو رجع إلى
+
+24
+00:01:57,480 --> 00:02:01,980
+نفس النقطة نجي ناخد مثال particle بتحرك من النقطة
+
+25
+00:02:03,150 --> 00:02:07,850
+أيه وراح للنقطة بيه بعدين رجع للنقطة ايه التغير في
+
+26
+00:02:07,850 --> 00:02:11,530
+ال position بيكون قيمته قداش Zero إذا مافيش تغير
+
+27
+00:02:11,530 --> 00:02:15,310
+في الإزاحة إذا في هذه الحالة ال velocity قداش
+
+28
+00:02:15,310 --> 00:02:18,470
+قيمتها ال average velocity بيكون قيمتها بتساوي
+
+29
+00:02:18,470 --> 00:02:22,370
+Zero إذا في عندي حاجتين لازم أعرفها الآن أول حاجة
+
+30
+00:02:22,370 --> 00:02:26,270
+بدي أعرف حاجة average velocity كمان شوية حاجين
+
+31
+00:02:26,270 --> 00:02:29,560
+instantaneous velocityinstantaneous velocity سرعة
+
+32
+00:02:29,560 --> 00:02:33,140
+لحظية احنا اتفقنا من البداية ان الجسم ممكن يتحرك
+
+33
+00:02:33,140 --> 00:02:38,140
+من النقطة A لنقطة B بسرعة ثابتة خمسة متر per
+
+34
+00:02:38,140 --> 00:02:42,640
+second اذا في اي لحظة من هذه اللحظات بتكون سرعته
+
+35
+00:02:42,640 --> 00:02:46,760
+خمسة متر per second لكن لو في سيارة انت بتتحرك من
+
+36
+00:02:46,760 --> 00:02:52,410
+منطقة ما و جاي لمنطقة اخرىسرعتها ممكن تزداد و ممكن
+
+37
+00:02:52,410 --> 00:02:56,270
+تقل إذا سرعتها ممكن تكون خمسة ممكن تكون عشرة ممكن
+
+38
+00:02:56,270 --> 00:03:00,930
+تتوقف السير زيرو بعد ذلك ممكن تزيد إذا في الآخر لو
+
+39
+00:03:00,930 --> 00:03:04,750
+أنا قلت بد ال average المتوسط السيارة السرعة
+
+40
+00:03:04,750 --> 00:03:09,650
+المتوسطة لهذه السيارة كأن بقول في سيارتين سيارة
+
+41
+00:03:09,650 --> 00:03:15,190
+بتتحرك بسرعة ثابتة و سيارة بتتحرك بسرعة متغيرة
+
+42
+00:03:15,190 --> 00:03:20,790
+الأثنين بدأوا بنفس الزمنوانتهوا عند نفس الزمن
+
+43
+00:03:20,790 --> 00:03:24,030
+الآخر يعني بدأوا الساعة تمانية وانتهوا الساعة تسعة
+
+44
+00:03:24,030 --> 00:03:27,110
+التانية تنتقلوا من ال position الأولى إلى ال
+
+45
+00:03:27,110 --> 00:03:30,450
+position التانية في هذه الحالة ال average velocity
+
+46
+00:03:30,450 --> 00:03:35,490
+هو سرعة السيارة الثابتة كانت سرعة السيارة تتحرك
+
+47
+00:03:35,490 --> 00:03:41,040
+بسرعة ثابتةإذا كمان مرة بقى أقول أي جسم بتحرك من
+
+48
+00:03:41,040 --> 00:03:45,420
+نقطة وبرجع لنفس النقطة سرعته بالساوية zero لأنه
+
+49
+00:03:45,420 --> 00:03:48,060
+بتعامل مع position ابتدائي وبوزيشين النهائي
+
+50
+00:03:48,060 --> 00:03:51,180
+البوزيشين الابتدائي كان بيساوي ال position النهائي
+
+51
+00:03:51,180 --> 00:03:56,000
+طيب بدأ أقول ملاحظة ذاكرين في الشفطر السابق لما
+
+52
+00:03:56,000 --> 00:04:00,980
+قلنا فيه اندي كميتين واحد scalar والتانية متجهة
+
+53
+00:04:01,940 --> 00:04:09,160
+السكيلر ال distance المسافة هي كمية scalar إذا ال
+
+54
+00:04:09,160 --> 00:04:15,560
+scalar distance مسافة لكن ال displacement إزاحة ال
+
+55
+00:04:15,560 --> 00:04:19,600
+displacement عبارة عن vector quantity لكن ال
+
+56
+00:04:19,600 --> 00:04:25,410
+distance ما لها عبارة عن scalar quantityالتان تان
+
+57
+00:04:25,410 --> 00:04:28,270
+واحد يتقياسهم متر متر لكن هذا ال displacement
+
+58
+00:04:28,270 --> 00:04:32,810
+بيقول إزاحة الجسم في اتجاه الشرق في اتجاه اليمين
+
+59
+00:04:32,810 --> 00:04:38,570
+في اتجاه اليسار لكن ال displacement هي أقل ال
+
+60
+00:04:38,570 --> 00:04:42,690
+short distance لو في عند جسم بتحرك من النقطة A
+
+61
+00:04:42,690 --> 00:04:48,160
+ووصل للنقطة Bأتحرك بهذه الطريقة من النقطة A للنقطة
+
+62
+00:04:48,160 --> 00:04:55,120
+B ووصل للنقطة B هذه كل المسافة التي تحركها لكن من
+
+63
+00:04:55,120 --> 00:05:00,980
+ال A لل B هو متجه هذا متجه هو ال displacement اذا
+
+64
+00:05:00,980 --> 00:05:05,800
+ال displacement هو متجه من ال initial لل final
+
+65
+00:05:05,800 --> 00:05:10,880
+أصغر مسافة عند ال short distance من ال initial لل
+
+66
+00:05:10,880 --> 00:05:15,010
+finalأذا الاختلاف بين ال distance و ال
+
+67
+00:05:15,010 --> 00:05:18,730
+displacement ال distance عبارة عن scalar quantity
+
+68
+00:05:18,730 --> 00:05:21,670
+لكن ال displacement عبارة عن vector quantity
+
+69
+00:05:21,670 --> 00:05:26,150
+وبتلزمنا من وين من نقطة ال initial لنقطة ال final
+
+70
+00:05:26,150 --> 00:05:31,950
+طيب لو قلت انا اتكلمت قبل شوية عن ال velocity لو
+
+71
+00:05:31,950 --> 00:05:35,370
+اتكلمت عن ال speed ال speed ايش تعريفه هو ال
+
+72
+00:05:35,370 --> 00:05:36,970
+magnitude لل velocity
+
+73
+00:05:43,750 --> 00:05:49,990
+السرعة دايم لسبيل مش ممكن سبيد سرعتها خمسين
+
+74
+00:05:49,990 --> 00:05:53,850
+كيلومتر في الساعة مش ممكن تكون سالب ال average
+
+75
+00:05:53,850 --> 00:05:57,870
+speed هي ال total تعريفها ال total distance
+
+76
+00:06:02,000 --> 00:06:05,600
+هناك بتتكلم في ال average velocity هو عبارة عن
+
+77
+00:06:05,600 --> 00:06:10,720
+مين؟ عن الإزاحة X initial و X final لكن هنا ال
+
+78
+00:06:10,720 --> 00:06:16,120
+average speed هي ال total distance المسافة الكلية
+
+79
+00:06:16,120 --> 00:06:21,140
+الموجودة عنده على الاش التغير في الزمن و احدد
+
+80
+00:06:21,140 --> 00:06:27,360
+قياسها دايما بال متر per secondنجي لنقطة تانية
+
+81
+00:06:27,360 --> 00:06:33,540
+Instantaneous Velocity سرعة لحظية يعني اتفقنا من
+
+82
+00:06:33,540 --> 00:06:38,140
+البداية ان السيارتين تتحرك بسرعة ثابتة قيمتها
+
+83
+00:06:38,140 --> 00:06:43,330
+خمسين كيلومتر في الساعةسرعتها في أي لحظة قيمتها
+
+84
+00:06:43,330 --> 00:06:48,290
+خمسين كيلومتر في الساعة الان لو قلت انا في سيارة
+
+85
+00:06:48,290 --> 00:06:54,210
+بتتحرك بسرعات مختلفة بتزيد وبتقل في كل لحظة لها
+
+86
+00:06:54,210 --> 00:07:01,450
+سرعة لها قيمة يعني بدأ من Zero بعد ثانية صار سرعته
+
+87
+00:07:01,450 --> 00:07:06,310
+عشرة كيلومتر في الساعة بعد شوية صار سرعته خمسين
+
+88
+00:07:06,310 --> 00:07:08,990
+كيلومتر في الساعة إذا لو قلنا بدأ من الساعة
+
+89
+00:07:08,990 --> 00:07:14,640
+التمانيةتمانية كان Zero سرعته تمانية خمسة صارت
+
+90
+00:07:14,640 --> 00:07:20,580
+سرعته عشرةكلومتر في الساعة، لذا في كل لحظة له سرعة
+
+91
+00:07:20,580 --> 00:07:25,800
+معينة، هذا بسميها ال Instantaneous Velocity كيف
+
+92
+00:07:25,800 --> 00:07:29,280
+بدي أجيب ال Instantaneous Velocity؟ أنا بتكلم عن
+
+93
+00:07:29,280 --> 00:07:35,700
+فترة زمنية، الآن الفترة الزمنية فترة مثلا بدي
+
+94
+00:07:35,700 --> 00:07:39,960
+السرعة عند الساعة تمانية أو نص تماما، باخد فترة
+
+95
+00:07:39,960 --> 00:07:46,120
+زمنية قريبة من التمانية و نصدقيقة قبل تمانية و نص
+
+96
+00:07:46,120 --> 00:07:50,520
+و بجيب ال average ال average velocity لها ال
+
+97
+00:07:50,520 --> 00:07:54,320
+average velocity خلال فترة ما لها زمنية قليلة جدا
+
+98
+00:07:54,320 --> 00:07:58,340
+إذا في عندى موضوع ابتدائي و موضوع نهائي بس الفترة
+
+99
+00:07:58,340 --> 00:08:02,920
+الزمنية قليلة لأن لو قللت الفترة الزمنية أثر يعني
+
+100
+00:08:02,920 --> 00:08:07,180
+بجدال ما أقول تمانية و نص تمانية و نص و دقيقة
+
+101
+00:08:07,180 --> 00:08:12,670
+واحدة تمانية و نص و ثانيةبيصير انا اقتربت من مين؟
+
+102
+00:08:12,670 --> 00:08:17,350
+من سرعة اللحظية عند الـ 8.5 لو قلت 8.5 وجزء من
+
+103
+00:08:17,350 --> 00:08:21,590
+الثانية، بكون قربت أكتر، إذا الفترة الزمنية الآن
+
+104
+00:08:21,590 --> 00:08:26,890
+عند فترة صغيرة جدا، تقول لمين؟ تقول للـ Zero، إذا
+
+105
+00:08:26,890 --> 00:08:32,510
+الـ Average Velocityلفترة زمانية قليلة تقول للزين
+
+106
+00:08:32,510 --> 00:08:38,010
+وهي سرعة لحظية عند هذه الفترة عند هذه النقطة لذن
+
+107
+00:08:38,010 --> 00:08:44,070
+هي عبارة ال instant reciprocity هي عبارة عن التغير
+
+108
+00:08:44,070 --> 00:08:47,770
+في ال displacement على التغير في زمن بس بشرط انه
+
+109
+00:08:48,270 --> 00:08:53,290
+التالتة T تقول لمين؟ تقول للـ Zero هذا تعريف مر
+
+110
+00:08:53,290 --> 00:08:56,970
+علينا سابقاً في ال calculus اللي هو عبارة عن ال
+
+111
+00:08:56,970 --> 00:09:00,270
+derivative لمين لل displacement لذا ال as
+
+112
+00:09:00,270 --> 00:09:03,730
+instantaneous velocity هي derivative لل
+
+113
+00:09:03,730 --> 00:09:08,370
+displacement هي
+
+114
+00:09:08,370 --> 00:09:11,870
+المشتقة الأولى لل X
+
+115
+00:09:19,780 --> 00:09:25,720
+الان لو في عندى جسم بتحرك تبع لل graph اللى موجود
+
+116
+00:09:25,720 --> 00:09:29,720
+عنده عنده instantaneous في لحظة .. في اي لحظة
+
+117
+00:09:29,720 --> 00:09:35,600
+معينة بتحرك بزيادة بنقصان ال X مع الزمن هنا ال
+
+118
+00:09:35,600 --> 00:09:40,500
+position بتغير مع تغير الزمن قلتلك احسب السرعة
+
+119
+00:09:40,500 --> 00:09:44,860
+اللحظية عند اي نقطة مش السرعة اللحظية او مش دقة
+
+120
+00:09:44,860 --> 00:09:49,940
+الاولى عندها هي ميل الخط المماسلو كنا نحسب السرعة
+
+121
+00:09:49,940 --> 00:09:53,400
+عند النقطة هذه، فسنحصل على مماس عند النقطة هذه،
+
+122
+00:09:53,400 --> 00:09:58,720
+هذا المماس هو عبارة عن ال instant wealthفلوسيتي
+
+123
+00:09:58,720 --> 00:10:01,860
+إذا ال person continuous velocity هي المشتقة
+
+124
+00:10:01,860 --> 00:10:06,700
+الأولى والمشتقة الأولى هي المماس لمن للعلاقة بين
+
+125
+00:10:06,700 --> 00:10:09,740
+ال X و ال T إذا لو في عندى علاقة بين ال X و ال T
+
+126
+00:10:09,740 --> 00:10:13,660
+علاقة بين ال position علاقة بين ال position و ال
+
+127
+00:10:13,660 --> 00:10:17,200
+time علاقة بين ال position و ال time و أنا بدى
+
+128
+00:10:17,200 --> 00:10:23,000
+أحسب السرعة عند أي لحظة بلزمني أجيب ميل المماس أو
+
+129
+00:10:23,000 --> 00:10:30,520
+أجيب ال derivative لهذه العلاقةناخد مثال المثال
+
+130
+00:10:30,520 --> 00:10:35,040
+اللى بدنا ناخده بيقول في عندى جسم او في عندى
+
+131
+00:10:35,040 --> 00:10:44,080
+particle بتغير ال position له مع الزمن بالعلاقة
+
+132
+00:10:44,080 --> 00:10:52,280
+اللى موجودة عنده هنا X بالساوية T Square X
+
+133
+00:10:52,280 --> 00:10:58,530
+بالساوية T Square زائد تلاتة Tمطلوب ان احسب حاجتين
+
+134
+00:10:58,530 --> 00:11:03,990
+average velocity بين مين و مين بين ال T بساوة Zero
+
+135
+00:11:03,990 --> 00:11:08,930
+و T بساوة اتنين اذا في عند T initial و في عند T
+
+136
+00:11:08,930 --> 00:11:16,450
+final T initial Zero و T final اتنين Second لما
+
+137
+00:11:16,450 --> 00:11:22,080
+اتكلم عن ال average velocity بده اجيب XInitial و X
+
+138
+00:11:22,080 --> 00:11:26,740
+-Final Position ابتدائي و نهائي if average
+
+139
+00:11:26,740 --> 00:11:34,480
+velocity X-Final-X-Initial على T-Final-T-Initial
+
+140
+00:11:40,020 --> 00:11:43,940
+بقيمته اللي هي عند الـ 0 إذا لما أعوض بالـ 0 بيطلع
+
+141
+00:11:43,940 --> 00:11:49,340
+X initial بالساوية 0 X final بده أعوض عن الزمن ب2
+
+142
+00:11:49,340 --> 00:11:57,120
+بيطلع عندى 4 minus زائد 6 بيطلع عندى 10 متر إذا
+
+143
+00:11:57,120 --> 00:12:02,580
+بقدر أقول X final عشرة متر ناقص X initial 0 على T
+
+144
+00:12:02,580 --> 00:12:08,780
+final 2 ناقص 0 فبتطلع السرعة عند ال average خمسة
+
+145
+00:12:16,130 --> 00:12:21,590
+سرعة اللحظية كيف بدى احسبها لاحظوا اعطاني هنا لما
+
+146
+00:12:21,590 --> 00:12:26,810
+طلب average velocity اعطاني T Delta T T بساوة Zero
+
+147
+00:12:26,810 --> 00:12:27,790
+و T بساوة اتنين
+
+148
+00:12:31,810 --> 00:12:38,510
+عند لحظة معينة عند زمن قيمته 1.5 second طب كيف بدي
+
+149
+00:12:38,510 --> 00:12:43,230
+أجيبها بدي أروح تعريف ال instantaneous velocity هو
+
+150
+00:12:43,230 --> 00:12:48,150
+عبارة عن ال derivative لمين لهذه المعادلة بدي أروح
+
+151
+00:12:48,150 --> 00:12:51,410
+اعمل ال derivative لهذه المعادلة و أجيب القيمة
+
+152
+00:12:51,410 --> 00:12:59,870
+إلها بدي أشتقها فأقول DXعلى دي T هذه الفلوسيتي عند
+
+153
+00:12:59,870 --> 00:13:04,690
+T بالساوي واحد و نص ثانوية لما نيجي نعمل ال
+
+154
+00:13:04,690 --> 00:13:12,370
+derivative لها T بيطلع عند اتنين T زائد تلاتة الان
+
+155
+00:13:12,370 --> 00:13:16,490
+عند الواحد و نص بتدعو ال T بواحد و نص هيطلع عند
+
+156
+00:13:16,490 --> 00:13:24,080
+اتنينفي واحد و نص زائد تلاتة تطلع عنده ستة متر per
+
+157
+00:13:24,080 --> 00:13:29,360
+second اذا السرعة اللحظية بالساوية ستة متر per
+
+158
+00:13:29,360 --> 00:13:32,900
+second اذا انا اول حاجة عملت derivative اشتقتها
+
+159
+00:13:32,900 --> 00:13:36,100
+بعد ما اشتقتها عوضت بالزمن اللي قيمته واحد و نص و
+
+160
+00:13:36,100 --> 00:13:40,660
+طلعت ال incentive او السرعة اللحظية عند الزمن اللي
+
+161
+00:13:40,660 --> 00:13:44,000
+هو قيمته t بالساوية واحد و نص
+
+162
+00:13:48,320 --> 00:13:51,360
+في ندي كمان حاجة اسمها acceleration قبل ما اتكلم
+
+163
+00:13:51,360 --> 00:13:55,360
+عن ال acceleration ال velocity بتأثر ع مين؟ ع ال
+
+164
+00:13:55,360 --> 00:13:59,620
+position ع المكان اذا السيارة بتتحرك من نقطة لنقطة
+
+165
+00:13:59,620 --> 00:14:04,020
+او particle بتتحرك من نقطة لنقطة اتغير مكانه لكن
+
+166
+00:14:04,020 --> 00:14:07,060
+لما اجى اتكلم عن ال acceleration ال acceleration
+
+167
+00:14:07,060 --> 00:14:12,340
+هو التسارع يؤثر على مين التسارع؟ يؤثر على السرعة
+
+168
+00:14:12,340 --> 00:14:17,260
+اذا هي تغير بالنسبة .. تغير ايش؟ ال velocity
+
+169
+00:14:18,750 --> 00:14:26,030
+بالنسبة للزمن يعني لو انا قلت مثال رمزها A قيمتها
+
+170
+00:14:26,030 --> 00:14:32,410
+بساوة واحد متر على second square واحد متر على
+
+171
+00:14:32,410 --> 00:14:36,790
+second square معناتها
+
+172
+00:14:36,790 --> 00:14:44,610
+ان سرعة هذه السيارة تزداد كل ثانية بمقدار واحدأول
+
+173
+00:14:44,610 --> 00:14:48,590
+حاجة بيكون سرعتها نبدأ من السكون مثلا كمثال سرعتها
+
+174
+00:14:48,590 --> 00:14:53,230
+بالساوي صفر بقى الثانية بيكون سرعتها قداش صارت
+
+175
+00:14:53,230 --> 00:14:58,830
+واحد بقى الثانية أخرى سرعتها بالساوي اتنين و هكذا
+
+176
+00:14:58,830 --> 00:15:03,530
+إذا التسارع يؤثر على سرعة التسارع متجة و ال
+
+177
+00:15:03,530 --> 00:15:07,390
+velocity متجة يعني التسارع طيب لو كان قيمته سالبة
+
+178
+00:15:07,390 --> 00:15:14,100
+إيش معناته عبارة عن اتجاه يعني لو في عندي جسمبتحرك
+
+179
+00:15:14,100 --> 00:15:20,640
+بهذا الاتجاه بسرعة V ال acceleration كانت بنفس
+
+180
+00:15:20,640 --> 00:15:24,960
+الاتجاه ايش هيكون عنده السرعة ايش بيصير فيها
+
+181
+00:15:24,960 --> 00:15:25,980
+increase
+
+182
+00:15:29,180 --> 00:15:35,780
+بزيادة السرعة طيب لو كان التسارع عكس الحركة عكس
+
+183
+00:15:35,780 --> 00:15:39,640
+اتجاه الحركة عكس اتجاه السرعة يعني أنا بقول هذا
+
+184
+00:15:39,640 --> 00:15:44,020
+الحالة الأولى الحالة التانية الجسم هيو ال particle
+
+185
+00:15:44,020 --> 00:15:49,060
+بتحرك بسرعة V بهذا الاتجاه لكن التسارع كان عكس
+
+186
+00:15:49,060 --> 00:15:54,240
+الاتجاهعكس الاتجاه يعني إشارته مالها بالسالب لأنه
+
+187
+00:15:54,240 --> 00:15:57,960
+لو أنا أخدت هذا الاتجاه هو الموجب الاتجاه التاني
+
+188
+00:15:57,960 --> 00:16:01,660
+بيكون هو السالب هذا موجب السرعة بالموجب ال
+
+189
+00:16:01,660 --> 00:16:04,520
+acceleration مالها بالسالب إذا ال acceleration
+
+190
+00:16:04,520 --> 00:16:08,080
+ممكن تكون بالسالب ولكن تعبر على مين؟ على الاتجاه
+
+191
+00:16:08,080 --> 00:16:13,120
+إيش هتصير عنده في السرعة؟ هتبدأ تقل تدريجيا إذا
+
+192
+00:16:13,120 --> 00:16:15,000
+تصير نقصان decrease
+
+193
+00:16:18,510 --> 00:16:23,790
+إذا بيصير عنده نقصان في السرعة إذا كانتعكس اتجاه
+
+194
+00:16:23,790 --> 00:16:28,610
+الحركة طيب ناخد مثال عليها مثال واضح جدا انه عجلة
+
+195
+00:16:28,610 --> 00:16:32,010
+التجاذب الأرضى او عجلة الجاذبية الأرضى اتجاهها الى
+
+196
+00:16:32,010 --> 00:16:37,190
+وين دايما الى أسفل لو انا رميت الجسم الى أسفل
+
+197
+00:16:37,190 --> 00:16:41,450
+سرعته بتبدأ مالها الـ Z طب لو رميته عكس ال
+
+198
+00:16:41,450 --> 00:16:45,610
+acceleration الى أعلى تبدأ السرعة تقل تقل لما اتصل
+
+199
+00:16:45,610 --> 00:16:51,670
+لمين للحظة معينة قيمتها بتكون قداش Zeroهو بتوقف و
+
+200
+00:16:51,670 --> 00:16:55,170
+بعدين برجع مع اتجاه ال acceleration إذا ال
+
+201
+00:16:55,170 --> 00:16:59,550
+acceleration ممكن تكون موجبة و ممكن تكون سالبة لما
+
+202
+00:16:59,550 --> 00:17:03,950
+تكون موجبة السرعة بتبدأ مالها الـZ لما تكون سالبة
+
+203
+00:17:03,950 --> 00:17:08,710
+السرعة بتبدأ تتناقص تدريجيا لما في لحظة من اللحظات
+
+204
+00:17:08,710 --> 00:17:13,810
+تصير سرعتها قداش سرعة الجسم ابتصال لـ0 طب لما
+
+205
+00:17:13,810 --> 00:17:16,710
+اتكلم عن ال acceleration قلت ال acceleration عبارة
+
+206
+00:17:16,710 --> 00:17:22,130
+عنتؤثر على السرعة أو تغير السرعة تغير السرعة
+
+207
+00:17:22,130 --> 00:17:25,470
+بالنسبة للزمان يعني بقدر اقول ال acceleration في
+
+208
+00:17:25,470 --> 00:17:28,370
+عندي average acceleration ال average acceleration
+
+209
+00:17:28,370 --> 00:17:34,410
+كان بقول سرعة مالها متوسطة يعني كأنها ثابتة قيمتها
+
+210
+00:17:34,410 --> 00:17:39,990
+واحد متر per second خمس متر per second squareتغير
+
+211
+00:17:39,990 --> 00:17:43,210
+في ال velocity على التغير في الزمن V final ناقص V
+
+212
+00:17:43,210 --> 00:17:48,370
+initial على T final ناقص T initial اللي هي السرعة
+
+213
+00:17:48,370 --> 00:17:51,450
+النهائية ناقص السرعة الإبتدائية على الزمن النهائي
+
+214
+00:17:51,450 --> 00:17:57,010
+ناقص الزمن الإبتدائي وحدتها طبعا بالmeter per
+
+215
+00:17:57,010 --> 00:18:03,010
+second squared طيب نيجي لتعريف تاني اللي هو
+
+216
+00:18:03,010 --> 00:18:09,300
+instantaneous acceleration اللي هو التسارعتسارع
+
+217
+00:18:09,300 --> 00:18:19,000
+لحظة، تسارع لحظة التسارع اللحظة هو التسارع عند
+
+218
+00:18:19,000 --> 00:18:23,420
+لحظة معينة زي نفس الكلام اللي قلناه في السرعة
+
+219
+00:18:23,420 --> 00:18:28,580
+اللحظية، هنقوله في التسارع اللحظة، التسارع اللحظة
+
+220
+00:18:29,530 --> 00:18:34,970
+التسارع اللحظة هو التسارع عند زمن معين، تسارع عند
+
+221
+00:18:34,970 --> 00:18:39,910
+الساعة كذا، تسارع عند اللحظة كذا، تسارع عند اللحظة
+
+222
+00:18:39,910 --> 00:18:42,510
+كذا، احنا متفقين ممكن يكون التسارع في زيادة وفي
+
+223
+00:18:42,510 --> 00:18:47,730
+نقصان، لكن انا بتحدد التسارع عند لحظة معينةبدي ايش
+
+224
+00:18:47,730 --> 00:18:52,550
+اعمل في الفترة الزمنية بدي اقللها بحيث اقترب من
+
+225
+00:18:52,550 --> 00:18:56,830
+مين من الفترة او من اللحظة اللي انا بدي احسب
+
+226
+00:18:56,830 --> 00:19:00,290
+التسارع عندها طبعا الفترة الزمنية بديها تقول لل
+
+227
+00:19:00,290 --> 00:19:05,010
+zero هذا تعريف لل derivative اذا اندي هو عبارة عن
+
+228
+00:19:05,010 --> 00:19:08,750
+derivative لل velocity و ال velocity هي derivative
+
+229
+00:19:08,750 --> 00:19:12,850
+لمين لل displacement او لل x اذا بيصير عند ال
+
+230
+00:19:12,850 --> 00:19:17,990
+acceleration تعريفهالـ acceleration هي مشتقة ال
+
+231
+00:19:17,990 --> 00:19:26,970
+velocity بالنسبة للزمن او dx على dt² مشتقة تانية
+
+232
+00:19:26,970 --> 00:19:33,770
+لل Xطيب ناخد مثال على هالكلام كمان مرة بقول
+
+233
+00:19:33,770 --> 00:19:38,130
+acceleration متجه ممكن تكون قيمته بالموجب وممكن
+
+234
+00:19:38,130 --> 00:19:42,630
+تكون قيمته بالسالب ممكن هذا التسارع يزداد وممكن
+
+235
+00:19:42,630 --> 00:19:47,390
+هذا التسارع يقل ممكن أحسب التسارع عند لحظة معينة و
+
+236
+00:19:47,390 --> 00:19:55,390
+أحدد قيمته ناخد
+
+237
+00:19:55,390 --> 00:20:02,010
+مثال على هالكلام بيقول في عندي جسمأو object بتحرك
+
+238
+00:20:02,010 --> 00:20:08,570
+بسرعات مختلفة تبعا للعلاقة اللي موجودة عند هنا V
+
+239
+00:20:08,570 --> 00:20:15,710
+نكتبها هنا بشكل واضح العلاقة السرعة V بتساوي خمسة
+
+240
+00:20:15,710 --> 00:20:23,170
+T ناقص تلاتة طبعا ال T بالزمن بال second وال V
+
+241
+00:20:23,170 --> 00:20:27,740
+بالmeter pair secondأول حاجة بدي أحسب ال average
+
+242
+00:20:27,740 --> 00:20:32,460
+acceleration من وين لوين من T بساوة واحد ل T بساوة
+
+243
+00:20:32,460 --> 00:20:36,640
+اتنين اذا أعطاني فترة زمانية اعطاني نقطة ابتدائية
+
+244
+00:20:36,640 --> 00:20:41,960
+او اعطاني زمن ابتدائي و زمن نهائي T initial و عند
+
+245
+00:20:41,960 --> 00:20:46,660
+T final T initial واحد و T final اتنين second
+
+246
+00:20:48,750 --> 00:20:54,350
+مباشرة بدي احسب V initial و V final V initial من
+
+247
+00:20:54,350 --> 00:20:59,630
+هذه القلاقة V initial ايش بتساوي عندك انت initial
+
+248
+00:20:59,630 --> 00:21:03,510
+و انت initial واحد اذا خمسة ناقص تلاتة بطلع اتنين
+
+249
+00:21:03,510 --> 00:21:05,850
+متر per second V initial و انت initial و انت
+
+250
+00:21:05,850 --> 00:21:06,210
+per second V initial و انت initial و انت initial
+
+251
+00:21:06,210 --> 00:21:06,230
+واحد اذا خمسة ناقص تلاتة بطلع اتنين متر per second
+
+252
+00:21:06,230 --> 00:21:06,350
+V initial و انت initial و انت initial واحد اذا
+
+253
+00:21:06,350 --> 00:21:07,570
+خمسة ناقص تلاتة بطلع اتنين متر per second V
+
+254
+00:21:07,570 --> 00:21:12,470
+initial و انت initial واحد اذا خمسة ناقص تلاتة
+
+255
+00:21:12,470 --> 00:21:17,750
+بطلع اتنين متر per second V initial وانت initial
+
+256
+00:21:17,750 --> 00:21:20,600
+واحد امنها الأن الـ acceleration average
+
+257
+00:21:20,600 --> 00:21:25,760
+acceleration بتساوي V final ناقص V initial على T
+
+258
+00:21:25,760 --> 00:21:30,720
+final ناقص T initial وبقدر احددهم واطلع القيمة
+
+259
+00:21:30,720 --> 00:21:39,920
+سبعة ماينس اتنين على اتنين ماينس one بتساوي خمسة
+
+260
+00:21:39,920 --> 00:21:46,950
+متر per second squareأنا حددت القيمة خمس متر بير
+
+261
+00:21:46,950 --> 00:21:51,490
+ثانوية اكسلاريشن الآن المطلوب التاني أحسب ال
+
+262
+00:21:51,490 --> 00:21:54,630
+instant inverse acceleration ال T بيستوى اتنين
+
+263
+00:21:54,630 --> 00:21:56,670
+ثانوية اكسلاريشن ال T بيستوى اتنين ثانوية
+
+264
+00:21:56,670 --> 00:21:57,890
+اكسلاريشن ال T بيستوى اتنين ثانوية اكسلاريشن ال T
+
+265
+00:21:57,890 --> 00:21:59,210
+بيستوى اتنين ثانوية اكسلاريشن ال T بيستوى اتنين
+
+266
+00:21:59,210 --> 00:22:00,630
+ثانوية اكسلاريشن ال T بيستوى اتنين ثانوية
+
+267
+00:22:00,630 --> 00:22:04,930
+اكسلاريشن ال T بيستوى اتنين ثانوية اكسلاريشن ال T
+
+268
+00:22:04,930 --> 00:22:09,550
+بيستوى اتنين ثانوية اكسل
+
+269
+00:22:11,230 --> 00:22:16,830
+acceleration بيطلع five مالهاش علاقة مع الزمن اذا
+
+270
+00:22:16,830 --> 00:22:21,490
+لو انا قلت ال acceleration انت بيساوي اتنين second
+
+271
+00:22:21,490 --> 00:22:28,170
+هي five meter per second squared انت بيساوي مائة
+
+272
+00:22:28,170 --> 00:22:34,790
+second هي five meter per second squared اذا دائما
+
+273
+00:22:34,790 --> 00:22:38,670
+قيمتها مالها ثابت اذا ال acceleration في هذه
+
+274
+00:22:38,670 --> 00:22:44,950
+الحالة مالهاقيمتها ثابتة قيمتها ثابتة يعني
+
+275
+00:22:44,950 --> 00:22:49,930
+constant يعني معناته ان ال average لاحظوا طلعوا ال
+
+276
+00:22:49,930 --> 00:22:54,630
+average ال average عندي قيمتها خمسة و ال constant
+
+277
+00:22:54,630 --> 00:22:58,290
+يوصي قيمتها خمسة إذا في هذه الحالة كأن ال
+
+278
+00:22:58,290 --> 00:23:03,090
+acceleration عند أي لحظة قيمتها خمسة إذا كأنه
+
+279
+00:23:03,090 --> 00:23:08,740
+بتحرك او ال acceleration قيمتها ثابتة في أي لحظةو
+
+280
+00:23:08,740 --> 00:23:12,940
+لا تعتمد على مين؟ على الزمان نترك هذا المثال
+
+281
+00:23:12,940 --> 00:23:17,460
+للمحاضرة التالية و يعطيكوا العافية و نحاول نحللنا
+
+282
+00:23:17,460 --> 00:23:21,640
+كام سؤال على ال acceleration و ال philosophy
+
+283
+00:23:21,640 --> 00:23:22,640
+يعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/tMTcTDxACHU_postprocess.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/tMTcTDxACHU_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0a18369ac0690cc07bf8f4081d871d6fa051cb2d
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/tMTcTDxACHU_postprocess.srt
@@ -0,0 +1,1144 @@
+1
+00:00:05,420 --> 00:00:08,220
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,220 --> 00:00:12,280
+وبركاته اليوم ان شاء الله بدنا نكمل اللي هو شبتر
+
+3
+00:00:12,280 --> 00:00:15,780
+خمسة شبتر خمسة زي ما قلنا تتكلم عن حركة circular
+
+4
+00:00:15,780 --> 00:00:20,220
+motion يمكن أخدنا المثال الأول والمثال التاني
+
+5
+00:00:20,220 --> 00:00:25,020
+اليوم بدنا نكمل التذكير احنا قلنا فين دي حاجة
+
+6
+00:00:25,020 --> 00:00:28,140
+اسمها centripetal force مجموع القوة في اتجاه
+
+7
+00:00:28,140 --> 00:00:36,380
+المركز بالساوية Mفى A A و بتساوي M V تربيع على A M
+
+8
+00:00:36,380 --> 00:00:41,780
+V تربيع على A و هذا قانون ان نيوتن بدى ادور و
+
+9
+00:00:41,780 --> 00:00:44,440
+دائما بدى ارسم ال free body diagram قبل ما احل
+
+10
+00:00:44,440 --> 00:00:47,540
+المسألة بعد ما ارسم ال free body diagram بشوف
+
+11
+00:00:47,540 --> 00:00:51,140
+القوة اللى فى التجاهة بحل الجميع القوة في اتجاهات
+
+12
+00:00:51,140 --> 00:00:55,920
+متعامدة احد هذه الاتجاهات بدى يكون اتجاه المركز
+
+13
+00:00:57,410 --> 00:01:02,730
+الان ناخد مثال
+
+14
+00:01:02,730 --> 00:01:08,750
+بيقول في عندى كرة كتلتها جديش واحد كيلو جرام
+
+15
+00:01:08,750 --> 00:01:16,530
+مربوطة
+
+16
+00:01:16,530 --> 00:01:21,590
+في نهايتها بالخيط وهي طبعا نقطة الدورة هذا المركز
+
+17
+00:01:21,590 --> 00:01:26,950
+اللي موجود عندىو مربوطة بخيط و بتدور على سطح ايش
+
+18
+00:01:26,950 --> 00:01:32,110
+ماله horizontal ام لأس لما تدور على سطح زي هيك
+
+19
+00:01:32,110 --> 00:01:35,770
+بيصير الها ميل فانا بقول بتدور على سطح ماله ام لأس
+
+20
+00:01:35,770 --> 00:01:40,730
+بهذا الشكل بدي
+
+21
+00:01:40,730 --> 00:01:47,560
+اوجد اقصى maximum speed اقصى سرعة بتتحرك فيهاانتوا
+
+22
+00:01:47,560 --> 00:01:53,280
+ذاكرين لو أنا رابطت قطعة .. حاجة بخيط و بديت ألف
+
+23
+00:01:53,280 --> 00:01:56,740
+فيه .. ألف فيه بأي طريقة بهذا الشكل كل ما أزود
+
+24
+00:01:56,740 --> 00:02:00,200
+السرعة في لحظة و لللحظات إيش بيصير في الخيط؟إذا
+
+25
+00:02:00,200 --> 00:02:03,860
+زودت السرعة بشكل كبير جدا بنقطع الخياط بدي أقصى
+
+26
+00:02:03,860 --> 00:02:08,400
+سرعة بحيث ماينقطعش الخياط ماينكسرش الخياط ماينقصش
+
+27
+00:02:08,400 --> 00:02:13,200
+الخياط يعني أقصى سرعة إذا كنت أنا عارف إن الخياط
+
+28
+00:02:13,200 --> 00:02:17,840
+يستحمل شد جداش قيمته 500 نيوتن أنا بجيبها الخياط
+
+29
+00:02:17,840 --> 00:02:23,800
+بشد فيه بدت أشد أزود الشد الشد شوي شوي 500 نيوتن
+
+30
+00:02:23,800 --> 00:02:28,660
+بيكون على واشك إنه ايش maximum tension له بعد هيكة
+
+31
+00:02:29,410 --> 00:02:34,850
+بنقطع الخيط لذن بدي السرعة أقصى سرعة اللي بتخلي
+
+32
+00:02:34,850 --> 00:02:39,430
+الخيط ماينقطعش اش بده ارسم ال free body diagram
+
+33
+00:02:39,430 --> 00:02:42,990
+هاي هذا الجسم بيدور في مسار الدائرة في اتجاه
+
+34
+00:02:42,990 --> 00:02:47,710
+المركز في عندي الشد ال tension اتجاه العمودي هنا
+
+35
+00:02:47,710 --> 00:02:50,890
+في عندي ال MG و اذا في عندي سطح في عندي normal
+
+36
+00:02:50,890 --> 00:02:56,490
+force العالىهذه القوة اللي بتأثر على هذا الجسم انا
+
+37
+00:02:56,490 --> 00:03:02,270
+بالزمن الصممش لل force في اتجاه المركز M V تربيع
+
+38
+00:03:02,270 --> 00:03:06,170
+على R ايش القوة اللي في اتجاه المركز فقط عند ال T
+
+39
+00:03:06,170 --> 00:03:14,930
+لاحظوا M ثابت نص القطر ثابت ال V بزيد tension بزيد
+
+40
+00:03:14,930 --> 00:03:23,330
+V بزيد شد بزيد V وصلت ل maximumالشد بيصل ايش ال
+
+41
+00:03:23,330 --> 00:03:28,670
+maximum زودت السرعة شويه ايش صار في الشد انقطع
+
+42
+00:03:28,670 --> 00:03:32,150
+الخيط وراح الشد فيش حاجة اسمها الشد لذن هذا ال T
+
+43
+00:03:32,150 --> 00:03:36,450
+maximum لذن هنا ال V maximum M V تربيه على R
+
+44
+00:03:36,450 --> 00:03:43,910
+بتساوي T maximum منها بقدر احدد قيمة V maximum لذن
+
+45
+00:03:43,910 --> 00:03:54,280
+V maximum V max بتساوي A في Tmax على m تحت الجدر
+
+46
+00:03:54,280 --> 00:03:58,960
+بطلع القيمة بلاقي السرعة اللى بتحرك فيها قداش
+
+47
+00:03:58,960 --> 00:04:05,620
+قيمته 22.4 إذا لو زودت بعد 22.4 هلاقي الخط ماله
+
+48
+00:04:05,620 --> 00:04:11,260
+بنقطع و بنفصل و الجسم يظل ماشي في خط مستقيم لإن
+
+49
+00:04:11,260 --> 00:04:15,260
+خلاص انقطع الخط من هنا ضال السرعة ماله ماشي و طالع
+
+50
+00:04:15,260 --> 00:04:20,160
+ليشده برا بهذا الاتجاه بخط مستقيم مماثلين للدائرة
+
+51
+00:04:20,160 --> 00:04:28,640
+اليوم بدنا نتكلم عن non uniform circular motion
+
+52
+00:04:28,640 --> 00:04:34,300
+كنا مرتبطات في بعض ايش الاختلاف بين ال non uniform
+
+53
+00:04:34,300 --> 00:04:38,140
+و ال uniform اللي قبل كنا نتكلم uniform السرعة
+
+54
+00:04:38,140 --> 00:04:42,780
+كانت اللي اسف ال speed كانت قدش قمتها ثابتة لكن
+
+55
+00:04:42,780 --> 00:04:48,650
+السرعة متغيرةمتغيرات تجاهها اليوم كانت ال speed
+
+56
+00:04:48,650 --> 00:04:53,670
+ثابتة اليوم بدي ازود شوي ال speed مش ثابتة لو كانت
+
+57
+00:04:53,670 --> 00:04:57,690
+ال speed مش ثابتة اش بده يصير؟ لو كان ثابتة بيصير
+
+58
+00:04:57,690 --> 00:05:01,110
+فيه centripetal ..centripetal acceleration موجود
+
+59
+00:05:01,110 --> 00:05:04,250
+ال centripetal acceleration لو كانت مش ثابتة فيه
+
+60
+00:05:04,250 --> 00:05:08,270
+centripetal acceleration بس بنشأ حاجة جديدة اللي
+
+61
+00:05:08,270 --> 00:05:13,090
+هي tangential acceleration حاجة ممسية هذه الدائرة
+
+62
+00:05:13,090 --> 00:05:13,450
+عندك
+
+63
+00:05:18,290 --> 00:05:26,590
+السرعة هذه اتجاهها تتغير إذا كان لديه a رديال ال a
+
+64
+00:05:26,590 --> 00:05:30,610
+رديال في اتجاه ال a اتجاه المركز هذه اتجاه المركز
+
+65
+00:05:30,610 --> 00:05:35,030
+إذا كان لدي حجم مماسية السبيد بتتغير مازال السبيد
+
+66
+00:05:35,030 --> 00:05:38,910
+بتتغير السرعة بتتغير المماسي يعني السبيد اللي هو
+
+67
+00:05:38,910 --> 00:05:42,090
+ال magnitude بتتغير تبع الفلوسة بتتغير بيصير كأنه
+
+68
+00:05:42,090 --> 00:05:43,110
+في a ثيتا
+
+69
+00:05:46,430 --> 00:05:49,810
+إذا في عندى حاجتين الـ acceleration بيصير جزءين
+
+70
+00:05:49,810 --> 00:05:55,150
+جزء مركزي unit vector along the radius و جزء ماله
+
+71
+00:05:55,150 --> 00:06:00,790
+مماس كأنه x و y اي محور و المحور التاني متعمد عليه
+
+72
+00:06:00,790 --> 00:06:06,890
+واحد x و واحد y في أي منطقة في عندى محاور متعمدة
+
+73
+00:06:06,890 --> 00:06:11,670
+في اتجاه المركز و اتجاه ماله المماس إذا في واحد
+
+74
+00:06:11,670 --> 00:06:16,280
+كان في اتجاه ال x والتاني كان في اتجاه مينفي اتجاه
+
+75
+00:06:16,280 --> 00:06:21,400
+ال Y ال X بيسميها R و ال Y بيسميها Theta إذا في
+
+76
+00:06:21,400 --> 00:06:26,160
+عندي حاجة تانية A Radial و A Tangential ال
+
+77
+00:06:26,160 --> 00:06:29,360
+acceleration بتنقسم قسميا A Radial و A Tangential
+
+78
+00:06:29,360 --> 00:06:33,940
+ال A Radial هي تغير نتيجة نحن عارفين دايما ال
+
+79
+00:06:33,940 --> 00:06:38,050
+acceleration نتيجة تغير في سرعة بالنسبة للزمانإذاً
+
+80
+00:06:38,050 --> 00:06:43,170
+في حين تحشتين ال a رديال نتيجة تغير السرعة بس إيش
+
+81
+00:06:43,170 --> 00:06:46,530
+السرعة أي حاجة فيها تتغير ال direction تبع السرعة
+
+82
+00:06:46,530 --> 00:06:52,390
+في اتجاه ال a نتيجة تغير ال direction تبع السرعة
+
+83
+00:06:52,390 --> 00:06:57,150
+بالنسبة للزمن لكن ال a ثيتا الأن نتيجة تغير ال
+
+84
+00:06:57,150 --> 00:07:00,790
+speed أو ال magnitude لل velocity بالنسبة للزمن
+
+85
+00:07:00,790 --> 00:07:07,900
+إذاً بقدر أقول ال a ثيتا ناشئة من التغيربالنسبة
+
+86
+00:07:07,900 --> 00:07:13,420
+للزمن لمن لل speed او لل magnitude دبع ال velocity
+
+87
+00:07:13,420 --> 00:07:17,240
+هي ال speed اذا في عندي تغيرين تغير في ال
+
+88
+00:07:17,240 --> 00:07:22,360
+direction تغير في ال direction بعطيني تغير في ال
+
+89
+00:07:22,360 --> 00:07:26,080
+direction بعطيني a radian التغير او centripetal
+
+90
+00:07:26,080 --> 00:07:34,970
+acceleration التغير في قيمةالسرعة بيعطينا اللي هو
+
+91
+00:07:34,970 --> 00:07:39,270
+a θ اللي بيسميها a tangential اذا في عندي
+
+92
+00:07:39,270 --> 00:07:42,970
+acceleration vector بتكون منه perpendicular
+
+93
+00:07:42,970 --> 00:07:46,490
+component واحد في اتجاه ال radial component
+
+94
+00:07:46,490 --> 00:07:50,750
+والتاني في اتجاه ال tangential component radial
+
+95
+00:07:50,750 --> 00:07:53,190
+component كمان مرة لو جايكي سؤال اكتر من متعدد
+
+96
+00:07:53,190 --> 00:07:56,170
+radial component او radial acceleration نتيجة
+
+97
+00:07:56,170 --> 00:08:03,130
+تغيير في ال directionالـ A θ نتيجة تغيير في الـ
+
+98
+00:08:03,130 --> 00:08:10,570
+magnitude دلوقت بسيطة إذا
+
+99
+00:08:10,570 --> 00:08:14,270
+هذه قيمة الـ A θ الآن فوق من قانون نيوتن التاني
+
+100
+00:08:14,270 --> 00:08:18,930
+بقدر أقول الصماش لل force في اتجاه المركز سواء M
+
+101
+00:08:18,930 --> 00:08:24,340
+في A رديا اللي هي M V تربية على Aوالتغير او مجموع
+
+102
+00:08:24,340 --> 00:08:30,060
+القوة في اتجاه المماس بسوء انف a ثيتا وهذا عبارة a
+
+103
+00:08:30,060 --> 00:08:37,220
+ثيتا عن التغير في ال speed بالنسبة للزمان طبعا ال
+
+104
+00:08:37,220 --> 00:08:40,300
+positive direction ممكن تاخده زي ما بدك انت اذا
+
+105
+00:08:40,300 --> 00:08:44,450
+بدك تحسب القيمةبس احنا دايما ال positive في اتجاه
+
+106
+00:08:44,450 --> 00:08:49,110
+ال R و ال theta ال theta ايش counter clockwise و
+
+107
+00:08:49,110 --> 00:08:54,710
+ال .. و ال R في اتجاه المركز towards و center
+
+108
+00:08:54,710 --> 00:08:59,430
+موجبات خدهم دايما موجبات عكس عقرب لو انت عكست
+
+109
+00:08:59,430 --> 00:09:02,770
+الإشارة مش هتأثرش كتير على الإجابة زي ما كنا ناخد
+
+110
+00:09:02,770 --> 00:09:07,090
+محور X و محور Y وين موجب وين سالم في الآخر انا
+
+111
+00:09:07,090 --> 00:09:11,680
+باخد كل حاجة في اتجاه الموجبموجبة و في الاتجاه
+
+112
+00:09:11,680 --> 00:09:15,880
+السالب كل حاجة في الاتجاه السالب قيمتها سالبة في
+
+113
+00:09:15,880 --> 00:09:24,140
+عندي مثال بيقول في عندي خيط مربوط في كتلة جسم صغير
+
+114
+00:09:24,140 --> 00:09:33,660
+مربوط في خيط و بتحرك vertical زي المجلع خيط ربط في
+
+115
+00:09:33,660 --> 00:09:38,120
+كتلة و بدت ألفه بهذا الشكل لفته رأسيا
+
+116
+00:09:42,440 --> 00:09:46,740
+يحسب ال radial و ال tangential component of
+
+117
+00:09:46,740 --> 00:09:52,320
+acceleration يعني يحسب ال AR و ال Aθ رقم واحد و
+
+118
+00:09:52,320 --> 00:09:57,180
+بعدين الشد في الخيط عند نقطة معينة و لا تكون
+
+119
+00:09:57,180 --> 00:10:01,100
+النقطة اللي معطنيها طبعا انا حاسب في اي منطقة هذه
+
+120
+00:10:01,100 --> 00:10:04,720
+النقطة اللي معطنيها اول حاجة وهذا سميها نقطة رقم
+
+121
+00:10:04,720 --> 00:10:05,140
+واحد
+
+122
+00:10:08,330 --> 00:10:13,010
+وهي المركز قلت هنا في شد ليش في شد لأنه في اندي
+
+123
+00:10:13,010 --> 00:10:18,590
+خيط و الخيط شدت من هذه الكتلة اللي قيمتها M في
+
+124
+00:10:18,590 --> 00:10:29,190
+اندي الأسفل هنا ايش دايما الأسفل قلناه الوزن دايما
+
+125
+00:10:29,190 --> 00:10:37,130
+متعامل هد الزاوية ثيتا لو مديت هد على استقالة تطلع
+
+126
+00:10:37,130 --> 00:10:42,980
+هد الزاوية ثيتازاكرين ايش قولنا؟ بنحلل جميع القوة
+
+127
+00:10:42,980 --> 00:10:47,460
+في اتجاهين واحد اتجاه المركز و اتجاه المتعمد عليه
+
+128
+00:10:47,460 --> 00:10:51,660
+هنا اتجاه المركز و اتجاه مين؟ المماس هاي اتجاه
+
+129
+00:10:51,660 --> 00:10:58,560
+المركز في الشد لكن هنا هاي المماس اتجاه المماس هاي
+
+130
+00:10:58,560 --> 00:11:03,940
+واضح عنده هاي اتجاهين متعمدات هاي اتجاه ال radial
+
+131
+00:11:03,940 --> 00:11:12,470
+و هاي اتجاه ال theta اللي هي theta هذالاحظوا ثيتا
+
+132
+00:11:12,470 --> 00:11:18,830
+عندى هنا فبدي احلل القريب من الزاوية باخد مين اللي
+
+133
+00:11:18,830 --> 00:11:24,210
+بدي احلله ال Mg ليش لأنها لا في اتجاه المركز ولا
+
+134
+00:11:24,210 --> 00:11:28,870
+في اتجاه مماس ليش لدائرة يعني في اتجاه متعامل على
+
+135
+00:11:28,870 --> 00:11:36,890
+المركز لذا هنا بيجي Mg cos ثيتا و هنا Mg sin ثيتا
+
+136
+00:11:37,750 --> 00:11:41,430
+حللت القوة فى قوة تانى بتأثر على الجسم لأ خلصنا
+
+137
+00:11:41,430 --> 00:11:46,850
+مازال فيش قوة باجى بقول summation للقوة فى اتجاه
+
+138
+00:11:46,850 --> 00:11:52,110
+المركز summation لل force فى اتجاه المركز بيساوي M
+
+139
+00:11:52,110 --> 00:12:01,530
+فى A رديع بتساوي M V تربيع على R بيساوي T ناقص M G
+
+140
+00:12:01,530 --> 00:12:08,210
+Cos Thetaهذه معادلة رقم واحد زي ما كنا نحسب معادلة
+
+141
+00:12:08,210 --> 00:12:10,470
+في تجاه ال X وتجاه ال Y ونحلهم مع بعض وانا نفس
+
+142
+00:12:10,470 --> 00:12:15,290
+الشيء معادلة في تجاه ال X وتجاه ال Y ال T بقدر ايش
+
+143
+00:12:15,290 --> 00:12:18,950
+اطلعه من هذه المعادلة اذا عرفت ال V ال R ماعطيني
+
+144
+00:12:18,950 --> 00:12:21,570
+إياها نصف قطرها بعد كده ال L مثلا نصف القطر
+
+145
+00:12:21,570 --> 00:12:25,190
+ماعطيني إياها السرعة اللي بتحرك فيها V أي أن كانت
+
+146
+00:12:25,190 --> 00:12:29,270
+هذه ال V كتلة الجسم M ال M ال G الزاوية انا عرفتها
+
+147
+00:12:29,270 --> 00:12:35,170
+وحددت قيمتها بقدر اطلع قيمة إيش الشدالمطلوب التاني
+
+148
+00:12:35,170 --> 00:12:38,390
+طبعا زي اطلاق القيم بقدر اطلاق قيمة الشد المطلوب
+
+149
+00:12:38,390 --> 00:12:44,590
+التاني بدي احسب ال a tangential بدي اجه نفس الاشي
+
+150
+00:12:44,590 --> 00:12:51,130
+summation لل force في اتجاه ال theta لان بيساوي m
+
+151
+00:12:51,130 --> 00:12:55,790
+في a theta بيساوي ليه ايش في اتجاه ال theta عندى
+
+152
+00:12:55,790 --> 00:12:59,350
+فقط mg sin theta
+
+153
+00:13:02,190 --> 00:13:08,250
+م جي صين ثيتا الام مع الام مالها بتروح يطلع ال a
+
+154
+00:13:08,250 --> 00:13:16,530
+ثيتا جداش قيمتها جي صين ثيتا وال
+
+155
+00:13:16,530 --> 00:13:19,910
+a رديال بيستوى قيمة ال V على مين ال R وال R أعطاني
+
+156
+00:13:19,910 --> 00:13:23,850
+جهة جداش قيمتها البقدر اقصر ال M على ال M و ال A
+
+157
+00:13:23,850 --> 00:13:27,370
+Radial بقدر اطلع قيمتها اللي هي V تربيع على مين
+
+158
+00:13:27,370 --> 00:13:33,410
+على L و ال A Theta قيمتها بالثاوزي G Sine ال Theta
+
+159
+00:13:33,410 --> 00:13:37,710
+و ال Shad بقدر احسن من خلال هذه المعادلة اذا طلعت
+
+160
+00:13:37,710 --> 00:13:40,830
+كل المطلوب طيب لو انا .. انا قلتلك في نقطة تانية
+
+161
+00:13:40,830 --> 00:13:50,500
+هنا كدش زاوية بصير؟ بصير زاوية 90Sin 90 يدي إيش؟
+
+162
+00:13:50,500 --> 00:13:53,300
+واحد إذا أنا لقيتي تتوقعين تطلع جديش؟ جيه مش
+
+163
+00:13:53,300 --> 00:14:01,480
+هنحسبها هنا MG هنا ال T إيش هيطلع عندي؟ عندي نقطة
+
+164
+00:14:01,480 --> 00:14:04,860
+2 حاجة
+
+165
+00:14:04,860 --> 00:14:08,100
+أقول ال summation لل force في اتجاه المركز
+
+166
+00:14:08,100 --> 00:14:15,460
+بالساوية MV تربيع على R بالساوية T لأن مافيش في
+
+167
+00:14:15,460 --> 00:14:21,050
+اتجاه المركز إلا إيش؟ إلا ال Tطيب ال summation لل
+
+168
+00:14:21,050 --> 00:14:25,970
+force في اتجاه ال theta المراكبة التانية بتساوي M
+
+169
+00:14:25,970 --> 00:14:32,430
+في A theta ايش عنده المماس ماله هل بتتحليل ال MG
+
+170
+00:14:32,430 --> 00:14:37,870
+بتتحليل لأ هى مالها مماس هى اتجاه المماس اذا انه
+
+171
+00:14:37,870 --> 00:14:41,590
+ساوي ال MG M مع M بتروح اذا ال A theta بتساوي ال G
+
+172
+00:14:41,590 --> 00:14:44,470
+زي ما انا كنت متوقع لو حطيت الزاوية هنا باي على
+
+173
+00:14:44,470 --> 00:14:50,290
+اتنين طيب لو حطيت الزاوية هنانقطة تالتة هنا، ايش
+
+174
+00:14:50,290 --> 00:14:54,350
+بده اعمل؟ اول حاجة بده حد الزاوية، لتكن الزاوية حد
+
+175
+00:14:54,350 --> 00:15:02,390
+ثيتا، هنا MG، في مشكلة؟ هنا الشد، الخيط مربوط،
+
+176
+00:15:02,390 --> 00:15:05,690
+الكتلة مربوطة في الخيط، زي ما في شد مسكة في اتجاه
+
+177
+00:15:05,690 --> 00:15:13,070
+المركز، high T، بده احلل الآن، هذي الزاوية ثيتا،
+
+178
+00:15:13,070 --> 00:15:19,440
+بالتبادل هذي ثيتا، القريب من الزاوية ايش؟مج كساين
+
+179
+00:15:19,440 --> 00:15:25,020
+تيتا والبعيد من الزاوية مج كساين تيتا
+
+180
+00:15:29,420 --> 00:15:36,580
+بتلاحظوا Mg cos θ والشد مع بعض لذا بقدر اقول ال
+
+181
+00:15:36,580 --> 00:15:40,040
+summation للنقطة هذه ال summation لل force اتجاه
+
+182
+00:15:40,040 --> 00:15:46,320
+المركز بيساوي Mv تربيه على R و بيسوي ليه Mg cos θ
+
+183
+00:15:46,320 --> 00:15:56,570
+زائد T لكن ال M في ال A θ بيساوي Mg sin θأيش اللي
+
+184
+00:15:56,570 --> 00:16:00,650
+اختلفت؟ الزاوي صارت مالها، الزاوي هادر والزاوي
+
+185
+00:16:00,650 --> 00:16:05,570
+هادر ال cosine بينهم اختلفوا إيش؟ إشارة سالبة، لذا
+
+186
+00:16:05,570 --> 00:16:08,650
+كانوا هادر صارت إشارة مالها موجبة، لذا الزاوي صارت
+
+187
+00:16:08,650 --> 00:16:13,350
+منفرجة كأنها صارت منفرجة، cosine الزاوي المنفرجة
+
+188
+00:16:13,350 --> 00:16:17,590
+بالسالب السالب مع السالب، بيصير موجب، لذا باعطيني
+
+189
+00:16:17,590 --> 00:16:22,330
+هنا ال Mg cosine الزاوي زائد ال Tطيب الأن لو
+
+190
+00:16:22,330 --> 00:16:28,210
+قلتلكوا حلوليها انتوا لحالكوا فوق هنا الجسم صار
+
+191
+00:16:28,210 --> 00:16:31,850
+هنا فاكروا
+
+192
+00:16:31,850 --> 00:16:36,690
+ايش بدي اعمل؟ بدي ارسم ال free body diagram هل فوق
+
+193
+00:16:36,690 --> 00:16:44,050
+فيه tangential acceleration؟ فشل لأن القوتين وين
+
+194
+00:16:44,050 --> 00:16:49,970
+اتجاههم؟ الشد لتحت والوزن لتحتالـ A tangential في
+
+195
+00:16:49,970 --> 00:16:52,670
+الشيء قوة إذا الـ A tangential في هذه الحالة
+
+196
+00:16:52,670 --> 00:17:00,010
+بالساوية إذا بقدر أقول MG زائد T هي اللي بتساوي M
+
+197
+00:17:00,010 --> 00:17:06,850
+في A رديال أو M V تربيه على A ومنها بقدر تحت طيب
+
+198
+00:17:06,850 --> 00:17:10,230
+هنا إيش اللي هيختلف النقطة اللي تحت عن النقطة اللي
+
+199
+00:17:10,230 --> 00:17:19,330
+فوق الشد لفوق و ال MG لوين لتحت إيش هيكون عند هناT
+
+200
+00:17:19,330 --> 00:17:26,310
+موجة بقى ناقص MG نخد T احنا في اتجاه ال R في اتجاه
+
+201
+00:17:26,310 --> 00:17:30,670
+المركز هو الموجة خارج المركز سالم زى ان T ناقص MG
+
+202
+00:17:30,670 --> 00:17:37,390
+بيساوي M Radial او M V تربيع على R واضح في اي
+
+203
+00:17:37,390 --> 00:17:40,390
+منطقة انا بحسبها برسم ال free body diagram بحللها
+
+204
+00:17:40,390 --> 00:17:44,130
+بشوف القوة المركزية ايش عندى قوة مركزية و ايش عندى
+
+205
+00:17:44,130 --> 00:17:50,100
+قوة مماسية و بطلع القيمةاللي هو موجود عندك في أي
+
+206
+00:17:50,100 --> 00:18:01,160
+سؤال نيجي ناخد مثال تاني تشوف ال .. ال .. الأرجحات
+
+207
+00:18:01,160 --> 00:18:04,880
+و ال .. الأشياء الدورانية كتير و أشياء كتيرة جدا
+
+208
+00:18:04,880 --> 00:18:13,500
+لو روحت الملاهي هتلاقي .. هتبدأ تحل مسائل كتير جدا
+
+209
+00:18:13,500 --> 00:18:22,230
+يعني في عندكهذه مرت عليكم اللي هو القطار فيه عربي
+
+210
+00:18:22,230 --> 00:18:28,350
+طبعا بدي
+
+211
+00:18:28,350 --> 00:18:31,690
+اوجد جداش السرعة اللي بدي اتحرك فيها اقصى السرعة
+
+212
+00:18:31,690 --> 00:18:34,730
+لان في لحظة و لحظة اذا انا زودت السرعة ممكن يفقد
+
+213
+00:18:34,730 --> 00:18:39,390
+التلامس عن الطريق لذلك انا بدي سرعة جداش اقصى سرعة
+
+214
+00:18:39,390 --> 00:18:43,270
+جداش اقل سرعة كيف بدي اتحسب السرعة عند المنطقة
+
+215
+00:18:43,270 --> 00:18:45,330
+اللي تحت السرعة عند المنطقة اللي فوق جداش بديها
+
+216
+00:18:45,330 --> 00:18:54,560
+تكونبيقول عنده وزنها كم؟ 350 كيلو جرام كما في
+
+217
+00:18:54,560 --> 00:18:58,080
+الشكل في نقطين نقطة و هي بتكون طالعة و نقطة و هي
+
+218
+00:18:58,080 --> 00:19:02,820
+بتكون مالها تحت لما أجي النقطة اللي هي طالعة و
+
+219
+00:19:02,820 --> 00:19:06,620
+النقطة اللي منخفضة بدي أحسب إذا أعطاني ال speed
+
+220
+00:19:06,620 --> 00:19:13,960
+جالي ال speed عند النقطة A قيمتها 18 متر في
+
+221
+00:19:13,960 --> 00:19:17,840
+الساكنةwhat is the normal force؟ ال normal force
+
+222
+00:19:17,840 --> 00:19:21,740
+عنده جدّيش قيمتها في كل الحالتين جدّيش ال normal
+
+223
+00:19:21,740 --> 00:19:24,140
+force هنا و جدّيش ال normal force هنا يعني معنى
+
+224
+00:19:24,140 --> 00:19:29,520
+أخر لو في طالب و براكل في هالقطاع و حاطط ميزان و
+
+225
+00:19:29,520 --> 00:19:33,140
+بتوزن زي اللي كان يتوزن في المصعد جدّيش وزنه
+
+226
+00:19:33,140 --> 00:19:35,920
+بيكون، جدّيش بده يضغط عليها الميزان يعطيني وزن،
+
+227
+00:19:35,920 --> 00:19:38,720
+قيمة، قراءة، جدّيش بده يعطيني قراءة و بعدين عند
+
+228
+00:19:38,720 --> 00:19:44,210
+النقطة B the maximum speedوين؟ بحيث يبدأ عند
+
+229
+00:19:44,210 --> 00:19:48,770
+النقطة B، هي النقطة B وهي النقطة A ليش maximum
+
+230
+00:19:48,770 --> 00:19:52,730
+speed؟ لو زود السرعة، صارت السرعة مالها إزيادة،
+
+231
+00:19:52,730 --> 00:19:56,890
+إيش بيعمل؟ بفقد التلامس مع مين؟ مع الطريق، إذا هنا
+
+232
+00:19:56,890 --> 00:20:01,150
+بدي V maximum، أقصى سرعة، بحيث مايفقدش التلامس مع
+
+233
+00:20:01,150 --> 00:20:02,170
+الطريق
+
+234
+00:20:04,760 --> 00:20:09,280
+بدي اجرى للنقطة الأولى اعطانا السرعة هنا في عنده
+
+235
+00:20:09,280 --> 00:20:14,340
+وزن لأسفل وفي عنده normal force لعالي بقول ال
+
+236
+00:20:14,340 --> 00:20:18,220
+summation لل force في اتجاه المركز بيساوة mv تربيع
+
+237
+00:20:18,220 --> 00:20:24,300
+على a فى اتجاه المركز الان هنا بيساوة ناقص ال mg
+
+238
+00:20:24,300 --> 00:20:27,640
+يعني بدى عامة نقول ان اتجاه المركز هو الموجة
+
+239
+00:20:30,460 --> 00:20:35,180
+من هذه العلاقة بقدر اطلع ال N ال N بيساوي M V
+
+240
+00:20:35,180 --> 00:20:42,380
+تربيع على R زائد ال M G بيساوي M V تربيع على R
+
+241
+00:20:42,380 --> 00:20:46,720
+ذاكرينها A رادية زائد ال G ايش بيذكركوا هذا
+
+242
+00:20:46,720 --> 00:20:51,040
+بيذكركوا
+
+243
+00:20:51,040 --> 00:20:55,640
+في المصعد هو ايشطالع ليش طالع لأن ال acceleration
+
+244
+00:20:55,640 --> 00:20:58,920
+تجاه ال a رديا لتجاه الأوين أخدناها تجاه الأعلى
+
+245
+00:20:58,920 --> 00:21:04,280
+كأنه ما أصعد و طالع لكن هذه النقطة تجاه ال a رديا
+
+246
+00:21:04,280 --> 00:21:08,240
+لأسفل كانوا هيطلع عندي كأنه ما أصعد و مين و نازل
+
+247
+00:21:08,240 --> 00:21:14,620
+اذا هذه عندنا at point a at point b summation لل
+
+248
+00:21:14,620 --> 00:21:21,870
+forceفى اتجاه MA رديال وبساوي M V تربيع على R M V
+
+249
+00:21:21,870 --> 00:21:26,910
+تربيع على R نجى نحسبها اتجاه المركزى زيه ايش اللى
+
+250
+00:21:26,910 --> 00:21:37,690
+فى اتجاه المركزى ال M G اذا ال M G ناقص ال N Angle
+
+251
+00:21:37,690 --> 00:21:43,870
+N هنا و M V تربيع هنا بتطلع عندناالـ N بتساوي MG
+
+252
+00:21:43,870 --> 00:21:49,750
+ناقص M V تربيع على R V تربيع على R اللي هي الـ A
+
+253
+00:21:49,750 --> 00:21:56,030
+Radial إذا نخد ال M عامل مشترك بيظل G ناقص A
+
+254
+00:21:56,030 --> 00:22:02,950
+Theta، آسف A R إيش بدلعب؟ نفس المصعد، بس مصعد هو
+
+255
+00:22:02,950 --> 00:22:10,440
+إيش؟ نازل، إذا الآن تعالي نبطلع المعادلة هذهن
+
+256
+00:22:10,440 --> 00:22:15,760
+بيساوي mg ناقص mv تربيه على a كل ما زادت ال V كل
+
+257
+00:22:15,760 --> 00:22:21,300
+ما جلت ال normal force ال V بيزيد ال N بيتقل ال V
+
+258
+00:22:21,300 --> 00:22:27,280
+بتصل ل maximum ال N بتصل ل مين بتصل ل ال zero على
+
+259
+00:22:27,280 --> 00:22:30,060
+وشك انها بتصل ل ال zero يعني ايش معناه ان ال N
+
+260
+00:22:30,060 --> 00:22:36,440
+بيساوي zero ان الجسم بده يفقد التلامس مع مين مع
+
+261
+00:22:36,440 --> 00:22:42,010
+السطح لو زودت ال V اكترخلاص الان الجسم بفقد
+
+262
+00:22:42,010 --> 00:22:46,670
+التلامس مع سطحه و بطير في خارجه لذا في هذه الحالة
+
+263
+00:22:46,670 --> 00:22:50,930
+في عندي V maximum لذا ال V maximum و قداش قيمة ال
+
+264
+00:22:50,930 --> 00:22:56,270
+V maximum لما N بتساوي أكم Zero لذا بيصير عندي
+
+265
+00:22:56,270 --> 00:23:05,440
+Zero لأن بيساوي Zeroمج ناقص mv تربيع على r و ال V
+
+266
+00:23:05,440 --> 00:23:08,920
+هذه مالها maximum لأننا حطينا ال in قيمتها جديد
+
+267
+00:23:08,920 --> 00:23:15,400
+بتساوية زيرو منها ال M جسم عليها بيطلع ال M بيطلع
+
+268
+00:23:15,400 --> 00:23:21,300
+ال V maximum اللي كتبتها هنا بتساوي جدر ال R في ال
+
+269
+00:23:21,300 --> 00:23:27,940
+G إذا أقصى سرعة بتتحرك فيها الجسم في هذه المنطقة
+
+270
+00:23:29,250 --> 00:23:35,550
+حتى مايفقدش التلامس هي لازم تكون اقل او
+
+271
+00:23:35,550 --> 00:23:39,010
+تساوي اقل
+
+272
+00:23:39,010 --> 00:23:44,290
+او تساوي جدر ال R في ال G هي بتسويها بتكون maximum
+
+273
+00:23:44,290 --> 00:23:49,070
+ال V لازم يتحرك فيها دايما لازم يكون اقل من جدر
+
+274
+00:23:49,070 --> 00:23:54,510
+ايشالـ R في الجي واضح في أي سؤال قد انتوا تشوفوا
+
+275
+00:23:54,510 --> 00:23:58,250
+سيارات السباق تجوم احيانا سيارة بتطير بتفقد
+
+276
+00:23:58,250 --> 00:24:01,690
+التلامس مع الطريق بتنطلها خمسين متر وممكن اللقطة
+
+277
+00:24:01,690 --> 00:24:05,350
+المشهورة تبعت اللي بتقفزلها يمكن عشرين متر عن
+
+278
+00:24:05,350 --> 00:24:08,930
+الطريق لذا في هذا الحالة فاقت التلامس نتيجة السرعة
+
+279
+00:24:08,930 --> 00:24:13,730
+مالها الهائلة الكبيرة عند على تل موجود سرعة كبيرة
+
+280
+00:24:13,730 --> 00:24:18,940
+جدا فاقت التلامسمع الأرض إذا فيه سرعة في هذه
+
+281
+00:24:18,940 --> 00:24:22,740
+الحالة السيارة تتحركت بسرعة مالها أكبر من المسموح
+
+282
+00:24:22,740 --> 00:24:27,320
+لها لذلك تقتل التلامس مع مين؟ مع السطح في أي سؤال
+
+283
+00:24:27,320 --> 00:24:30,360
+يعطي .. إذا في أي سؤال ممكن تكتبوه في التعليقات
+
+284
+00:24:30,360 --> 00:24:33,720
+يعطيكوا العافية بهذا المقدار و نيجي للمحاضرة
+
+285
+00:24:33,720 --> 00:24:37,420
+الجاية نتكلم عنها عن ال Newton's law of
+
+286
+00:24:37,420 --> 00:24:41,220
+gravitation مشيحة المحاضرة الجاية يعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/tMTcTDxACHU_raw.json b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/tMTcTDxACHU_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..621b70565afe9b107059af877a43a1519a1eace3
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/tMTcTDxACHU_raw.json
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/tMTcTDxACHU_raw.srt b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/tMTcTDxACHU_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0a18369ac0690cc07bf8f4081d871d6fa051cb2d
--- /dev/null
+++ b/PL9fwy3NUQKwbUNqCxT0_7khjHVW3QJ0z-/tMTcTDxACHU_raw.srt
@@ -0,0 +1,1144 @@
+1
+00:00:05,420 --> 00:00:08,220
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,220 --> 00:00:12,280
+وبركاته اليوم ان شاء الله بدنا نكمل اللي هو شبتر
+
+3
+00:00:12,280 --> 00:00:15,780
+خمسة شبتر خمسة زي ما قلنا تتكلم عن حركة circular
+
+4
+00:00:15,780 --> 00:00:20,220
+motion يمكن أخدنا المثال الأول والمثال التاني
+
+5
+00:00:20,220 --> 00:00:25,020
+اليوم بدنا نكمل التذكير احنا قلنا فين دي حاجة
+
+6
+00:00:25,020 --> 00:00:28,140
+اسمها centripetal force مجموع القوة في اتجاه
+
+7
+00:00:28,140 --> 00:00:36,380
+المركز بالساوية Mفى A A و بتساوي M V تربيع على A M
+
+8
+00:00:36,380 --> 00:00:41,780
+V تربيع على A و هذا قانون ان نيوتن بدى ادور و
+
+9
+00:00:41,780 --> 00:00:44,440
+دائما بدى ارسم ال free body diagram قبل ما احل
+
+10
+00:00:44,440 --> 00:00:47,540
+المسألة بعد ما ارسم ال free body diagram بشوف
+
+11
+00:00:47,540 --> 00:00:51,140
+القوة اللى فى التجاهة بحل الجميع القوة في اتجاهات
+
+12
+00:00:51,140 --> 00:00:55,920
+متعامدة احد هذه الاتجاهات بدى يكون اتجاه المركز
+
+13
+00:00:57,410 --> 00:01:02,730
+الان ناخد مثال
+
+14
+00:01:02,730 --> 00:01:08,750
+بيقول في عندى كرة كتلتها جديش واحد كيلو جرام
+
+15
+00:01:08,750 --> 00:01:16,530
+مربوطة
+
+16
+00:01:16,530 --> 00:01:21,590
+في نهايتها بالخيط وهي طبعا نقطة الدورة هذا المركز
+
+17
+00:01:21,590 --> 00:01:26,950
+اللي موجود عندىو مربوطة بخيط و بتدور على سطح ايش
+
+18
+00:01:26,950 --> 00:01:32,110
+ماله horizontal ام لأس لما تدور على سطح زي هيك
+
+19
+00:01:32,110 --> 00:01:35,770
+بيصير الها ميل فانا بقول بتدور على سطح ماله ام لأس
+
+20
+00:01:35,770 --> 00:01:40,730
+بهذا الشكل بدي
+
+21
+00:01:40,730 --> 00:01:47,560
+اوجد اقصى maximum speed اقصى سرعة بتتحرك فيهاانتوا
+
+22
+00:01:47,560 --> 00:01:53,280
+ذاكرين لو أنا رابطت قطعة .. حاجة بخيط و بديت ألف
+
+23
+00:01:53,280 --> 00:01:56,740
+فيه .. ألف فيه بأي طريقة بهذا الشكل كل ما أزود
+
+24
+00:01:56,740 --> 00:02:00,200
+السرعة في لحظة و لللحظات إيش بيصير في الخيط؟إذا
+
+25
+00:02:00,200 --> 00:02:03,860
+زودت السرعة بشكل كبير جدا بنقطع الخياط بدي أقصى
+
+26
+00:02:03,860 --> 00:02:08,400
+سرعة بحيث ماينقطعش الخياط ماينكسرش الخياط ماينقصش
+
+27
+00:02:08,400 --> 00:02:13,200
+الخياط يعني أقصى سرعة إذا كنت أنا عارف إن الخياط
+
+28
+00:02:13,200 --> 00:02:17,840
+يستحمل شد جداش قيمته 500 نيوتن أنا بجيبها الخياط
+
+29
+00:02:17,840 --> 00:02:23,800
+بشد فيه بدت أشد أزود الشد الشد شوي شوي 500 نيوتن
+
+30
+00:02:23,800 --> 00:02:28,660
+بيكون على واشك إنه ايش maximum tension له بعد هيكة
+
+31
+00:02:29,410 --> 00:02:34,850
+بنقطع الخيط لذن بدي السرعة أقصى سرعة اللي بتخلي
+
+32
+00:02:34,850 --> 00:02:39,430
+الخيط ماينقطعش اش بده ارسم ال free body diagram
+
+33
+00:02:39,430 --> 00:02:42,990
+هاي هذا الجسم بيدور في مسار الدائرة في اتجاه
+
+34
+00:02:42,990 --> 00:02:47,710
+المركز في عندي الشد ال tension اتجاه العمودي هنا
+
+35
+00:02:47,710 --> 00:02:50,890
+في عندي ال MG و اذا في عندي سطح في عندي normal
+
+36
+00:02:50,890 --> 00:02:56,490
+force العالىهذه القوة اللي بتأثر على هذا الجسم انا
+
+37
+00:02:56,490 --> 00:03:02,270
+بالزمن الصممش لل force في اتجاه المركز M V تربيع
+
+38
+00:03:02,270 --> 00:03:06,170
+على R ايش القوة اللي في اتجاه المركز فقط عند ال T
+
+39
+00:03:06,170 --> 00:03:14,930
+لاحظوا M ثابت نص القطر ثابت ال V بزيد tension بزيد
+
+40
+00:03:14,930 --> 00:03:23,330
+V بزيد شد بزيد V وصلت ل maximumالشد بيصل ايش ال
+
+41
+00:03:23,330 --> 00:03:28,670
+maximum زودت السرعة شويه ايش صار في الشد انقطع
+
+42
+00:03:28,670 --> 00:03:32,150
+الخيط وراح الشد فيش حاجة اسمها الشد لذن هذا ال T
+
+43
+00:03:32,150 --> 00:03:36,450
+maximum لذن هنا ال V maximum M V تربيه على R
+
+44
+00:03:36,450 --> 00:03:43,910
+بتساوي T maximum منها بقدر احدد قيمة V maximum لذن
+
+45
+00:03:43,910 --> 00:03:54,280
+V maximum V max بتساوي A في Tmax على m تحت الجدر
+
+46
+00:03:54,280 --> 00:03:58,960
+بطلع القيمة بلاقي السرعة اللى بتحرك فيها قداش
+
+47
+00:03:58,960 --> 00:04:05,620
+قيمته 22.4 إذا لو زودت بعد 22.4 هلاقي الخط ماله
+
+48
+00:04:05,620 --> 00:04:11,260
+بنقطع و بنفصل و الجسم يظل ماشي في خط مستقيم لإن
+
+49
+00:04:11,260 --> 00:04:15,260
+خلاص انقطع الخط من هنا ضال السرعة ماله ماشي و طالع
+
+50
+00:04:15,260 --> 00:04:20,160
+ليشده برا بهذا الاتجاه بخط مستقيم مماثلين للدائرة
+
+51
+00:04:20,160 --> 00:04:28,640
+اليوم بدنا نتكلم عن non uniform circular motion
+
+52
+00:04:28,640 --> 00:04:34,300
+كنا مرتبطات في بعض ايش الاختلاف بين ال non uniform
+
+53
+00:04:34,300 --> 00:04:38,140
+و ال uniform اللي قبل كنا نتكلم uniform السرعة
+
+54
+00:04:38,140 --> 00:04:42,780
+كانت اللي اسف ال speed كانت قدش قمتها ثابتة لكن
+
+55
+00:04:42,780 --> 00:04:48,650
+السرعة متغيرةمتغيرات تجاهها اليوم كانت ال speed
+
+56
+00:04:48,650 --> 00:04:53,670
+ثابتة اليوم بدي ازود شوي ال speed مش ثابتة لو كانت
+
+57
+00:04:53,670 --> 00:04:57,690
+ال speed مش ثابتة اش بده يصير؟ لو كان ثابتة بيصير
+
+58
+00:04:57,690 --> 00:05:01,110
+فيه centripetal ..centripetal acceleration موجود
+
+59
+00:05:01,110 --> 00:05:04,250
+ال centripetal acceleration لو كانت مش ثابتة فيه
+
+60
+00:05:04,250 --> 00:05:08,270
+centripetal acceleration بس بنشأ حاجة جديدة اللي
+
+61
+00:05:08,270 --> 00:05:13,090
+هي tangential acceleration حاجة ممسية هذه الدائرة
+
+62
+00:05:13,090 --> 00:05:13,450
+عندك
+
+63
+00:05:18,290 --> 00:05:26,590
+السرعة هذه اتجاهها تتغير إذا كان لديه a رديال ال a
+
+64
+00:05:26,590 --> 00:05:30,610
+رديال في اتجاه ال a اتجاه المركز هذه اتجاه المركز
+
+65
+00:05:30,610 --> 00:05:35,030
+إذا كان لدي حجم مماسية السبيد بتتغير مازال السبيد
+
+66
+00:05:35,030 --> 00:05:38,910
+بتتغير السرعة بتتغير المماسي يعني السبيد اللي هو
+
+67
+00:05:38,910 --> 00:05:42,090
+ال magnitude بتتغير تبع الفلوسة بتتغير بيصير كأنه
+
+68
+00:05:42,090 --> 00:05:43,110
+في a ثيتا
+
+69
+00:05:46,430 --> 00:05:49,810
+إذا في عندى حاجتين الـ acceleration بيصير جزءين
+
+70
+00:05:49,810 --> 00:05:55,150
+جزء مركزي unit vector along the radius و جزء ماله
+
+71
+00:05:55,150 --> 00:06:00,790
+مماس كأنه x و y اي محور و المحور التاني متعمد عليه
+
+72
+00:06:00,790 --> 00:06:06,890
+واحد x و واحد y في أي منطقة في عندى محاور متعمدة
+
+73
+00:06:06,890 --> 00:06:11,670
+في اتجاه المركز و اتجاه ماله المماس إذا في واحد
+
+74
+00:06:11,670 --> 00:06:16,280
+كان في اتجاه ال x والتاني كان في اتجاه مينفي اتجاه
+
+75
+00:06:16,280 --> 00:06:21,400
+ال Y ال X بيسميها R و ال Y بيسميها Theta إذا في
+
+76
+00:06:21,400 --> 00:06:26,160
+عندي حاجة تانية A Radial و A Tangential ال
+
+77
+00:06:26,160 --> 00:06:29,360
+acceleration بتنقسم قسميا A Radial و A Tangential
+
+78
+00:06:29,360 --> 00:06:33,940
+ال A Radial هي تغير نتيجة نحن عارفين دايما ال
+
+79
+00:06:33,940 --> 00:06:38,050
+acceleration نتيجة تغير في سرعة بالنسبة للزمانإذاً
+
+80
+00:06:38,050 --> 00:06:43,170
+في حين تحشتين ال a رديال نتيجة تغير السرعة بس إيش
+
+81
+00:06:43,170 --> 00:06:46,530
+السرعة أي حاجة فيها تتغير ال direction تبع السرعة
+
+82
+00:06:46,530 --> 00:06:52,390
+في اتجاه ال a نتيجة تغير ال direction تبع السرعة
+
+83
+00:06:52,390 --> 00:06:57,150
+بالنسبة للزمن لكن ال a ثيتا الأن نتيجة تغير ال
+
+84
+00:06:57,150 --> 00:07:00,790
+speed أو ال magnitude لل velocity بالنسبة للزمن
+
+85
+00:07:00,790 --> 00:07:07,900
+إذاً بقدر أقول ال a ثيتا ناشئة من التغيربالنسبة
+
+86
+00:07:07,900 --> 00:07:13,420
+للزمن لمن لل speed او لل magnitude دبع ال velocity
+
+87
+00:07:13,420 --> 00:07:17,240
+هي ال speed اذا في عندي تغيرين تغير في ال
+
+88
+00:07:17,240 --> 00:07:22,360
+direction تغير في ال direction بعطيني تغير في ال
+
+89
+00:07:22,360 --> 00:07:26,080
+direction بعطيني a radian التغير او centripetal
+
+90
+00:07:26,080 --> 00:07:34,970
+acceleration التغير في قيمةالسرعة بيعطينا اللي هو
+
+91
+00:07:34,970 --> 00:07:39,270
+a θ اللي بيسميها a tangential اذا في عندي
+
+92
+00:07:39,270 --> 00:07:42,970
+acceleration vector بتكون منه perpendicular
+
+93
+00:07:42,970 --> 00:07:46,490
+component واحد في اتجاه ال radial component
+
+94
+00:07:46,490 --> 00:07:50,750
+والتاني في اتجاه ال tangential component radial
+
+95
+00:07:50,750 --> 00:07:53,190
+component كمان مرة لو جايكي سؤال اكتر من متعدد
+
+96
+00:07:53,190 --> 00:07:56,170
+radial component او radial acceleration نتيجة
+
+97
+00:07:56,170 --> 00:08:03,130
+تغيير في ال directionالـ A θ نتيجة تغيير في الـ
+
+98
+00:08:03,130 --> 00:08:10,570
+magnitude دلوقت بسيطة إذا
+
+99
+00:08:10,570 --> 00:08:14,270
+هذه قيمة الـ A θ الآن فوق من قانون نيوتن التاني
+
+100
+00:08:14,270 --> 00:08:18,930
+بقدر أقول الصماش لل force في اتجاه المركز سواء M
+
+101
+00:08:18,930 --> 00:08:24,340
+في A رديا اللي هي M V تربية على Aوالتغير او مجموع
+
+102
+00:08:24,340 --> 00:08:30,060
+القوة في اتجاه المماس بسوء انف a ثيتا وهذا عبارة a
+
+103
+00:08:30,060 --> 00:08:37,220
+ثيتا عن التغير في ال speed بالنسبة للزمان طبعا ال
+
+104
+00:08:37,220 --> 00:08:40,300
+positive direction ممكن تاخده زي ما بدك انت اذا
+
+105
+00:08:40,300 --> 00:08:44,450
+بدك تحسب القيمةبس احنا دايما ال positive في اتجاه
+
+106
+00:08:44,450 --> 00:08:49,110
+ال R و ال theta ال theta ايش counter clockwise و
+
+107
+00:08:49,110 --> 00:08:54,710
+ال .. و ال R في اتجاه المركز towards و center
+
+108
+00:08:54,710 --> 00:08:59,430
+موجبات خدهم دايما موجبات عكس عقرب لو انت عكست
+
+109
+00:08:59,430 --> 00:09:02,770
+الإشارة مش هتأثرش كتير على الإجابة زي ما كنا ناخد
+
+110
+00:09:02,770 --> 00:09:07,090
+محور X و محور Y وين موجب وين سالم في الآخر انا
+
+111
+00:09:07,090 --> 00:09:11,680
+باخد كل حاجة في اتجاه الموجبموجبة و في الاتجاه
+
+112
+00:09:11,680 --> 00:09:15,880
+السالب كل حاجة في الاتجاه السالب قيمتها سالبة في
+
+113
+00:09:15,880 --> 00:09:24,140
+عندي مثال بيقول في عندي خيط مربوط في كتلة جسم صغير
+
+114
+00:09:24,140 --> 00:09:33,660
+مربوط في خيط و بتحرك vertical زي المجلع خيط ربط في
+
+115
+00:09:33,660 --> 00:09:38,120
+كتلة و بدت ألفه بهذا الشكل لفته رأسيا
+
+116
+00:09:42,440 --> 00:09:46,740
+يحسب ال radial و ال tangential component of
+
+117
+00:09:46,740 --> 00:09:52,320
+acceleration يعني يحسب ال AR و ال Aθ رقم واحد و
+
+118
+00:09:52,320 --> 00:09:57,180
+بعدين الشد في الخيط عند نقطة معينة و لا تكون
+
+119
+00:09:57,180 --> 00:10:01,100
+النقطة اللي معطنيها طبعا انا حاسب في اي منطقة هذه
+
+120
+00:10:01,100 --> 00:10:04,720
+النقطة اللي معطنيها اول حاجة وهذا سميها نقطة رقم
+
+121
+00:10:04,720 --> 00:10:05,140
+واحد
+
+122
+00:10:08,330 --> 00:10:13,010
+وهي المركز قلت هنا في شد ليش في شد لأنه في اندي
+
+123
+00:10:13,010 --> 00:10:18,590
+خيط و الخيط شدت من هذه الكتلة اللي قيمتها M في
+
+124
+00:10:18,590 --> 00:10:29,190
+اندي الأسفل هنا ايش دايما الأسفل قلناه الوزن دايما
+
+125
+00:10:29,190 --> 00:10:37,130
+متعامل هد الزاوية ثيتا لو مديت هد على استقالة تطلع
+
+126
+00:10:37,130 --> 00:10:42,980
+هد الزاوية ثيتازاكرين ايش قولنا؟ بنحلل جميع القوة
+
+127
+00:10:42,980 --> 00:10:47,460
+في اتجاهين واحد اتجاه المركز و اتجاه المتعمد عليه
+
+128
+00:10:47,460 --> 00:10:51,660
+هنا اتجاه المركز و اتجاه مين؟ المماس هاي اتجاه
+
+129
+00:10:51,660 --> 00:10:58,560
+المركز في الشد لكن هنا هاي المماس اتجاه المماس هاي
+
+130
+00:10:58,560 --> 00:11:03,940
+واضح عنده هاي اتجاهين متعمدات هاي اتجاه ال radial
+
+131
+00:11:03,940 --> 00:11:12,470
+و هاي اتجاه ال theta اللي هي theta هذالاحظوا ثيتا
+
+132
+00:11:12,470 --> 00:11:18,830
+عندى هنا فبدي احلل القريب من الزاوية باخد مين اللي
+
+133
+00:11:18,830 --> 00:11:24,210
+بدي احلله ال Mg ليش لأنها لا في اتجاه المركز ولا
+
+134
+00:11:24,210 --> 00:11:28,870
+في اتجاه مماس ليش لدائرة يعني في اتجاه متعامل على
+
+135
+00:11:28,870 --> 00:11:36,890
+المركز لذا هنا بيجي Mg cos ثيتا و هنا Mg sin ثيتا
+
+136
+00:11:37,750 --> 00:11:41,430
+حللت القوة فى قوة تانى بتأثر على الجسم لأ خلصنا
+
+137
+00:11:41,430 --> 00:11:46,850
+مازال فيش قوة باجى بقول summation للقوة فى اتجاه
+
+138
+00:11:46,850 --> 00:11:52,110
+المركز summation لل force فى اتجاه المركز بيساوي M
+
+139
+00:11:52,110 --> 00:12:01,530
+فى A رديع بتساوي M V تربيع على R بيساوي T ناقص M G
+
+140
+00:12:01,530 --> 00:12:08,210
+Cos Thetaهذه معادلة رقم واحد زي ما كنا نحسب معادلة
+
+141
+00:12:08,210 --> 00:12:10,470
+في تجاه ال X وتجاه ال Y ونحلهم مع بعض وانا نفس
+
+142
+00:12:10,470 --> 00:12:15,290
+الشيء معادلة في تجاه ال X وتجاه ال Y ال T بقدر ايش
+
+143
+00:12:15,290 --> 00:12:18,950
+اطلعه من هذه المعادلة اذا عرفت ال V ال R ماعطيني
+
+144
+00:12:18,950 --> 00:12:21,570
+إياها نصف قطرها بعد كده ال L مثلا نصف القطر
+
+145
+00:12:21,570 --> 00:12:25,190
+ماعطيني إياها السرعة اللي بتحرك فيها V أي أن كانت
+
+146
+00:12:25,190 --> 00:12:29,270
+هذه ال V كتلة الجسم M ال M ال G الزاوية انا عرفتها
+
+147
+00:12:29,270 --> 00:12:35,170
+وحددت قيمتها بقدر اطلع قيمة إيش الشدالمطلوب التاني
+
+148
+00:12:35,170 --> 00:12:38,390
+طبعا زي اطلاق القيم بقدر اطلاق قيمة الشد المطلوب
+
+149
+00:12:38,390 --> 00:12:44,590
+التاني بدي احسب ال a tangential بدي اجه نفس الاشي
+
+150
+00:12:44,590 --> 00:12:51,130
+summation لل force في اتجاه ال theta لان بيساوي m
+
+151
+00:12:51,130 --> 00:12:55,790
+في a theta بيساوي ليه ايش في اتجاه ال theta عندى
+
+152
+00:12:55,790 --> 00:12:59,350
+فقط mg sin theta
+
+153
+00:13:02,190 --> 00:13:08,250
+م جي صين ثيتا الام مع الام مالها بتروح يطلع ال a
+
+154
+00:13:08,250 --> 00:13:16,530
+ثيتا جداش قيمتها جي صين ثيتا وال
+
+155
+00:13:16,530 --> 00:13:19,910
+a رديال بيستوى قيمة ال V على مين ال R وال R أعطاني
+
+156
+00:13:19,910 --> 00:13:23,850
+جهة جداش قيمتها البقدر اقصر ال M على ال M و ال A
+
+157
+00:13:23,850 --> 00:13:27,370
+Radial بقدر اطلع قيمتها اللي هي V تربيع على مين
+
+158
+00:13:27,370 --> 00:13:33,410
+على L و ال A Theta قيمتها بالثاوزي G Sine ال Theta
+
+159
+00:13:33,410 --> 00:13:37,710
+و ال Shad بقدر احسن من خلال هذه المعادلة اذا طلعت
+
+160
+00:13:37,710 --> 00:13:40,830
+كل المطلوب طيب لو انا .. انا قلتلك في نقطة تانية
+
+161
+00:13:40,830 --> 00:13:50,500
+هنا كدش زاوية بصير؟ بصير زاوية 90Sin 90 يدي إيش؟
+
+162
+00:13:50,500 --> 00:13:53,300
+واحد إذا أنا لقيتي تتوقعين تطلع جديش؟ جيه مش
+
+163
+00:13:53,300 --> 00:14:01,480
+هنحسبها هنا MG هنا ال T إيش هيطلع عندي؟ عندي نقطة
+
+164
+00:14:01,480 --> 00:14:04,860
+2 حاجة
+
+165
+00:14:04,860 --> 00:14:08,100
+أقول ال summation لل force في اتجاه المركز
+
+166
+00:14:08,100 --> 00:14:15,460
+بالساوية MV تربيع على R بالساوية T لأن مافيش في
+
+167
+00:14:15,460 --> 00:14:21,050
+اتجاه المركز إلا إيش؟ إلا ال Tطيب ال summation لل
+
+168
+00:14:21,050 --> 00:14:25,970
+force في اتجاه ال theta المراكبة التانية بتساوي M
+
+169
+00:14:25,970 --> 00:14:32,430
+في A theta ايش عنده المماس ماله هل بتتحليل ال MG
+
+170
+00:14:32,430 --> 00:14:37,870
+بتتحليل لأ هى مالها مماس هى اتجاه المماس اذا انه
+
+171
+00:14:37,870 --> 00:14:41,590
+ساوي ال MG M مع M بتروح اذا ال A theta بتساوي ال G
+
+172
+00:14:41,590 --> 00:14:44,470
+زي ما انا كنت متوقع لو حطيت الزاوية هنا باي على
+
+173
+00:14:44,470 --> 00:14:50,290
+اتنين طيب لو حطيت الزاوية هنانقطة تالتة هنا، ايش
+
+174
+00:14:50,290 --> 00:14:54,350
+بده اعمل؟ اول حاجة بده حد الزاوية، لتكن الزاوية حد
+
+175
+00:14:54,350 --> 00:15:02,390
+ثيتا، هنا MG، في مشكلة؟ هنا الشد، الخيط مربوط،
+
+176
+00:15:02,390 --> 00:15:05,690
+الكتلة مربوطة في الخيط، زي ما في شد مسكة في اتجاه
+
+177
+00:15:05,690 --> 00:15:13,070
+المركز، high T، بده احلل الآن، هذي الزاوية ثيتا،
+
+178
+00:15:13,070 --> 00:15:19,440
+بالتبادل هذي ثيتا، القريب من الزاوية ايش؟مج كساين
+
+179
+00:15:19,440 --> 00:15:25,020
+تيتا والبعيد من الزاوية مج كساين تيتا
+
+180
+00:15:29,420 --> 00:15:36,580
+بتلاحظوا Mg cos θ والشد مع بعض لذا بقدر اقول ال
+
+181
+00:15:36,580 --> 00:15:40,040
+summation للنقطة هذه ال summation لل force اتجاه
+
+182
+00:15:40,040 --> 00:15:46,320
+المركز بيساوي Mv تربيه على R و بيسوي ليه Mg cos θ
+
+183
+00:15:46,320 --> 00:15:56,570
+زائد T لكن ال M في ال A θ بيساوي Mg sin θأيش اللي
+
+184
+00:15:56,570 --> 00:16:00,650
+اختلفت؟ الزاوي صارت مالها، الزاوي هادر والزاوي
+
+185
+00:16:00,650 --> 00:16:05,570
+هادر ال cosine بينهم اختلفوا إيش؟ إشارة سالبة، لذا
+
+186
+00:16:05,570 --> 00:16:08,650
+كانوا هادر صارت إشارة مالها موجبة، لذا الزاوي صارت
+
+187
+00:16:08,650 --> 00:16:13,350
+منفرجة كأنها صارت منفرجة، cosine الزاوي المنفرجة
+
+188
+00:16:13,350 --> 00:16:17,590
+بالسالب السالب مع السالب، بيصير موجب، لذا باعطيني
+
+189
+00:16:17,590 --> 00:16:22,330
+هنا ال Mg cosine الزاوي زائد ال Tطيب الأن لو
+
+190
+00:16:22,330 --> 00:16:28,210
+قلتلكوا حلوليها انتوا لحالكوا فوق هنا الجسم صار
+
+191
+00:16:28,210 --> 00:16:31,850
+هنا فاكروا
+
+192
+00:16:31,850 --> 00:16:36,690
+ايش بدي اعمل؟ بدي ارسم ال free body diagram هل فوق
+
+193
+00:16:36,690 --> 00:16:44,050
+فيه tangential acceleration؟ فشل لأن القوتين وين
+
+194
+00:16:44,050 --> 00:16:49,970
+اتجاههم؟ الشد لتحت والوزن لتحتالـ A tangential في
+
+195
+00:16:49,970 --> 00:16:52,670
+الشيء قوة إذا الـ A tangential في هذه الحالة
+
+196
+00:16:52,670 --> 00:17:00,010
+بالساوية إذا بقدر أقول MG زائد T هي اللي بتساوي M
+
+197
+00:17:00,010 --> 00:17:06,850
+في A رديال أو M V تربيه على A ومنها بقدر تحت طيب
+
+198
+00:17:06,850 --> 00:17:10,230
+هنا إيش اللي هيختلف النقطة اللي تحت عن النقطة اللي
+
+199
+00:17:10,230 --> 00:17:19,330
+فوق الشد لفوق و ال MG لوين لتحت إيش هيكون عند هناT
+
+200
+00:17:19,330 --> 00:17:26,310
+موجة بقى ناقص MG نخد T احنا في اتجاه ال R في اتجاه
+
+201
+00:17:26,310 --> 00:17:30,670
+المركز هو الموجة خارج المركز سالم زى ان T ناقص MG
+
+202
+00:17:30,670 --> 00:17:37,390
+بيساوي M Radial او M V تربيع على R واضح في اي
+
+203
+00:17:37,390 --> 00:17:40,390
+منطقة انا بحسبها برسم ال free body diagram بحللها
+
+204
+00:17:40,390 --> 00:17:44,130
+بشوف القوة المركزية ايش عندى قوة مركزية و ايش عندى
+
+205
+00:17:44,130 --> 00:17:50,100
+قوة مماسية و بطلع القيمةاللي هو موجود عندك في أي
+
+206
+00:17:50,100 --> 00:18:01,160
+سؤال نيجي ناخد مثال تاني تشوف ال .. ال .. الأرجحات
+
+207
+00:18:01,160 --> 00:18:04,880
+و ال .. الأشياء الدورانية كتير و أشياء كتيرة جدا
+
+208
+00:18:04,880 --> 00:18:13,500
+لو روحت الملاهي هتلاقي .. هتبدأ تحل مسائل كتير جدا
+
+209
+00:18:13,500 --> 00:18:22,230
+يعني في عندكهذه مرت عليكم اللي هو القطار فيه عربي
+
+210
+00:18:22,230 --> 00:18:28,350
+طبعا بدي
+
+211
+00:18:28,350 --> 00:18:31,690
+اوجد جداش السرعة اللي بدي اتحرك فيها اقصى السرعة
+
+212
+00:18:31,690 --> 00:18:34,730
+لان في لحظة و لحظة اذا انا زودت السرعة ممكن يفقد
+
+213
+00:18:34,730 --> 00:18:39,390
+التلامس عن الطريق لذلك انا بدي سرعة جداش اقصى سرعة
+
+214
+00:18:39,390 --> 00:18:43,270
+جداش اقل سرعة كيف بدي اتحسب السرعة عند المنطقة
+
+215
+00:18:43,270 --> 00:18:45,330
+اللي تحت السرعة عند المنطقة اللي فوق جداش بديها
+
+216
+00:18:45,330 --> 00:18:54,560
+تكونبيقول عنده وزنها كم؟ 350 كيلو جرام كما في
+
+217
+00:18:54,560 --> 00:18:58,080
+الشكل في نقطين نقطة و هي بتكون طالعة و نقطة و هي
+
+218
+00:18:58,080 --> 00:19:02,820
+بتكون مالها تحت لما أجي النقطة اللي هي طالعة و
+
+219
+00:19:02,820 --> 00:19:06,620
+النقطة اللي منخفضة بدي أحسب إذا أعطاني ال speed
+
+220
+00:19:06,620 --> 00:19:13,960
+جالي ال speed عند النقطة A قيمتها 18 متر في
+
+221
+00:19:13,960 --> 00:19:17,840
+الساكنةwhat is the normal force؟ ال normal force
+
+222
+00:19:17,840 --> 00:19:21,740
+عنده جدّيش قيمتها في كل الحالتين جدّيش ال normal
+
+223
+00:19:21,740 --> 00:19:24,140
+force هنا و جدّيش ال normal force هنا يعني معنى
+
+224
+00:19:24,140 --> 00:19:29,520
+أخر لو في طالب و براكل في هالقطاع و حاطط ميزان و
+
+225
+00:19:29,520 --> 00:19:33,140
+بتوزن زي اللي كان يتوزن في المصعد جدّيش وزنه
+
+226
+00:19:33,140 --> 00:19:35,920
+بيكون، جدّيش بده يضغط عليها الميزان يعطيني وزن،
+
+227
+00:19:35,920 --> 00:19:38,720
+قيمة، قراءة، جدّيش بده يعطيني قراءة و بعدين عند
+
+228
+00:19:38,720 --> 00:19:44,210
+النقطة B the maximum speedوين؟ بحيث يبدأ عند
+
+229
+00:19:44,210 --> 00:19:48,770
+النقطة B، هي النقطة B وهي النقطة A ليش maximum
+
+230
+00:19:48,770 --> 00:19:52,730
+speed؟ لو زود السرعة، صارت السرعة مالها إزيادة،
+
+231
+00:19:52,730 --> 00:19:56,890
+إيش بيعمل؟ بفقد التلامس مع مين؟ مع الطريق، إذا هنا
+
+232
+00:19:56,890 --> 00:20:01,150
+بدي V maximum، أقصى سرعة، بحيث مايفقدش التلامس مع
+
+233
+00:20:01,150 --> 00:20:02,170
+الطريق
+
+234
+00:20:04,760 --> 00:20:09,280
+بدي اجرى للنقطة الأولى اعطانا السرعة هنا في عنده
+
+235
+00:20:09,280 --> 00:20:14,340
+وزن لأسفل وفي عنده normal force لعالي بقول ال
+
+236
+00:20:14,340 --> 00:20:18,220
+summation لل force في اتجاه المركز بيساوة mv تربيع
+
+237
+00:20:18,220 --> 00:20:24,300
+على a فى اتجاه المركز الان هنا بيساوة ناقص ال mg
+
+238
+00:20:24,300 --> 00:20:27,640
+يعني بدى عامة نقول ان اتجاه المركز هو الموجة
+
+239
+00:20:30,460 --> 00:20:35,180
+من هذه العلاقة بقدر اطلع ال N ال N بيساوي M V
+
+240
+00:20:35,180 --> 00:20:42,380
+تربيع على R زائد ال M G بيساوي M V تربيع على R
+
+241
+00:20:42,380 --> 00:20:46,720
+ذاكرينها A رادية زائد ال G ايش بيذكركوا هذا
+
+242
+00:20:46,720 --> 00:20:51,040
+بيذكركوا
+
+243
+00:20:51,040 --> 00:20:55,640
+في المصعد هو ايشطالع ليش طالع لأن ال acceleration
+
+244
+00:20:55,640 --> 00:20:58,920
+تجاه ال a رديا لتجاه الأوين أخدناها تجاه الأعلى
+
+245
+00:20:58,920 --> 00:21:04,280
+كأنه ما أصعد و طالع لكن هذه النقطة تجاه ال a رديا
+
+246
+00:21:04,280 --> 00:21:08,240
+لأسفل كانوا هيطلع عندي كأنه ما أصعد و مين و نازل
+
+247
+00:21:08,240 --> 00:21:14,620
+اذا هذه عندنا at point a at point b summation لل
+
+248
+00:21:14,620 --> 00:21:21,870
+forceفى اتجاه MA رديال وبساوي M V تربيع على R M V
+
+249
+00:21:21,870 --> 00:21:26,910
+تربيع على R نجى نحسبها اتجاه المركزى زيه ايش اللى
+
+250
+00:21:26,910 --> 00:21:37,690
+فى اتجاه المركزى ال M G اذا ال M G ناقص ال N Angle
+
+251
+00:21:37,690 --> 00:21:43,870
+N هنا و M V تربيع هنا بتطلع عندناالـ N بتساوي MG
+
+252
+00:21:43,870 --> 00:21:49,750
+ناقص M V تربيع على R V تربيع على R اللي هي الـ A
+
+253
+00:21:49,750 --> 00:21:56,030
+Radial إذا نخد ال M عامل مشترك بيظل G ناقص A
+
+254
+00:21:56,030 --> 00:22:02,950
+Theta، آسف A R إيش بدلعب؟ نفس المصعد، بس مصعد هو
+
+255
+00:22:02,950 --> 00:22:10,440
+إيش؟ نازل، إذا الآن تعالي نبطلع المعادلة هذهن
+
+256
+00:22:10,440 --> 00:22:15,760
+بيساوي mg ناقص mv تربيه على a كل ما زادت ال V كل
+
+257
+00:22:15,760 --> 00:22:21,300
+ما جلت ال normal force ال V بيزيد ال N بيتقل ال V
+
+258
+00:22:21,300 --> 00:22:27,280
+بتصل ل maximum ال N بتصل ل مين بتصل ل ال zero على
+
+259
+00:22:27,280 --> 00:22:30,060
+وشك انها بتصل ل ال zero يعني ايش معناه ان ال N
+
+260
+00:22:30,060 --> 00:22:36,440
+بيساوي zero ان الجسم بده يفقد التلامس مع مين مع
+
+261
+00:22:36,440 --> 00:22:42,010
+السطح لو زودت ال V اكترخلاص الان الجسم بفقد
+
+262
+00:22:42,010 --> 00:22:46,670
+التلامس مع سطحه و بطير في خارجه لذا في هذه الحالة
+
+263
+00:22:46,670 --> 00:22:50,930
+في عندي V maximum لذا ال V maximum و قداش قيمة ال
+
+264
+00:22:50,930 --> 00:22:56,270
+V maximum لما N بتساوي أكم Zero لذا بيصير عندي
+
+265
+00:22:56,270 --> 00:23:05,440
+Zero لأن بيساوي Zeroمج ناقص mv تربيع على r و ال V
+
+266
+00:23:05,440 --> 00:23:08,920
+هذه مالها maximum لأننا حطينا ال in قيمتها جديد
+
+267
+00:23:08,920 --> 00:23:15,400
+بتساوية زيرو منها ال M جسم عليها بيطلع ال M بيطلع
+
+268
+00:23:15,400 --> 00:23:21,300
+ال V maximum اللي كتبتها هنا بتساوي جدر ال R في ال
+
+269
+00:23:21,300 --> 00:23:27,940
+G إذا أقصى سرعة بتتحرك فيها الجسم في هذه المنطقة
+
+270
+00:23:29,250 --> 00:23:35,550
+حتى مايفقدش التلامس هي لازم تكون اقل او
+
+271
+00:23:35,550 --> 00:23:39,010
+تساوي اقل
+
+272
+00:23:39,010 --> 00:23:44,290
+او تساوي جدر ال R في ال G هي بتسويها بتكون maximum
+
+273
+00:23:44,290 --> 00:23:49,070
+ال V لازم يتحرك فيها دايما لازم يكون اقل من جدر
+
+274
+00:23:49,070 --> 00:23:54,510
+ايشالـ R في الجي واضح في أي سؤال قد انتوا تشوفوا
+
+275
+00:23:54,510 --> 00:23:58,250
+سيارات السباق تجوم احيانا سيارة بتطير بتفقد
+
+276
+00:23:58,250 --> 00:24:01,690
+التلامس مع الطريق بتنطلها خمسين متر وممكن اللقطة
+
+277
+00:24:01,690 --> 00:24:05,350
+المشهورة تبعت اللي بتقفزلها يمكن عشرين متر عن
+
+278
+00:24:05,350 --> 00:24:08,930
+الطريق لذا في هذا الحالة فاقت التلامس نتيجة السرعة
+
+279
+00:24:08,930 --> 00:24:13,730
+مالها الهائلة الكبيرة عند على تل موجود سرعة كبيرة
+
+280
+00:24:13,730 --> 00:24:18,940
+جدا فاقت التلامسمع الأرض إذا فيه سرعة في هذه
+
+281
+00:24:18,940 --> 00:24:22,740
+الحالة السيارة تتحركت بسرعة مالها أكبر من المسموح
+
+282
+00:24:22,740 --> 00:24:27,320
+لها لذلك تقتل التلامس مع مين؟ مع السطح في أي سؤال
+
+283
+00:24:27,320 --> 00:24:30,360
+يعطي .. إذا في أي سؤال ممكن تكتبوه في التعليقات
+
+284
+00:24:30,360 --> 00:24:33,720
+يعطيكوا العافية بهذا المقدار و نيجي للمحاضرة
+
+285
+00:24:33,720 --> 00:24:37,420
+الجاية نتكلم عنها عن ال Newton's law of
+
+286
+00:24:37,420 --> 00:24:41,220
+gravitation مشيحة المحاضرة الجاية يعطيكوا العافية
+