بسم الله الرحمن الرحيم
ياليت تساعدوني بهذاا السؤال مهم جدا
هذا سؤال بالنهائي معنا ورفض يحله لنا
ياليييييتت تساعدوني
لم افهم السؤال جيدا . هل هناك علاقة معينة يجب ان نصل اليها من تعويض المتغيرات في المعادلة الاصلية ؟؟
محمد.المصري
14-12-2013, 17:53
بسم الله الرحمن الرحيم
ياليت تساعدوني بهذاا السؤال مهم جدا
من الواضح انه مطلوب تحويل السرعة بالأحداثيات القطبيه
من المعطيات فإن المفهوم هو أن
http://latex.codecogs.com/gif.latex?r%5E%7B%5Ccirc%7D%3D%5Cfrac%7Bdr%7D%7Bdt %7D
http://latex.codecogs.com/gif.latex?%5CTheta%5E%7B%5Ccirc%7D%3D%5Cfrac%7Bd%5 CTheta%20%7D%7Bdt%20%7D
و بالتعويض من المعطيات نجد أن
http://latex.codecogs.com/gif.latex?%5Cfrac%7Bdr%7D%7Bdt%7D%3D-h%5Cfrac%7Bdu%7D%7Bd%5CTheta%20%7D
و منها
http://latex.codecogs.com/gif.latex?dr%3D-h%5Cfrac%7Bdt%7D%7Bd%5CTheta%7Ddu
بالتعويض من المعطيات ينتج أن
http://latex.codecogs.com/gif.latex?dr%3D-h%5Cfrac%7B1%7D%7Bhu%5E2%7Ddu
أي ان
http://latex.codecogs.com/gif.latex?dr%3D-%5Cfrac%7B1%7D%7Bu%5E2%7Ddu
و بأجراء التكامل على الطرفين ينتج ان
http://latex.codecogs.com/gif.latex?r%3D%5Cfrac%7B1%7D%7Bu%7D
و أخيرا عوض عن المقادير http://latex.codecogs.com/gif.latex?r%2Cr%5E%7B%5Ccirc%7D%2C%5CTheta%20%5E%7 B%5Ccirc%7D سوف ينتج المطلوب
و اذا طلب العلاقة باستخدام http://latex.codecogs.com/gif.latex?u%5E%7B%5Ccirc%7D
عوض عن r0 بالصورة
بما ان
http://latex.codecogs.com/gif.latex?r%5E%7B%5Ccirc%7D%3D%5Cfrac%7Bdr%7D%7Bdt %7D%3D-h%5Cfrac%7Bdu%7D%7Bd%5CTheta%20%7D
اي
http://latex.codecogs.com/gif.latex?%5Cfrac%7Bdr%7D%7Bdt%7D%3D-h%5Cfrac%7Bdu%7D%7Bdt%20%7D%5Cfrac%7Bdt%7D%7Bd%5CT heta%20%7D
اي ان
http://latex.codecogs.com/gif.latex?%5Cfrac%7Bdr%7D%7Bdt%7D%3D-h%5Cfrac%7Bdu%7D%7Bdt%20%7D%5Cfrac%7B1%7D%7Bhu%5E2 %20%7D
اي نعوض عن r0 بالصورة
http://latex.codecogs.com/gif.latex?r%5E%7B%5Ccirc%7D%3D-%5Cfrac%7B1%7D%7Bu%5E2%20%7Du%5E%7B%5Ccirc%7D
اي يمكن الحصول على الصورة العامة
http://latex.codecogs.com/gif.latex?%5Cfrac%7B1%7D%7B2%7DM%28%5Cfrac%7B1%7D% 7Bu%5E4%20%7Du%5E%7B%5Ccirc%7D%5E%7B2%7D+h%5E2u%5E 2%29+%5Cphi%28%5Cfrac%7B1%7D%7Bu%7D%29%20%3D%20E
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