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Консультация № 173495
21.10.2009, 12:12
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.Уважаемые эксперты прошу решить задачу срочно.Помогите пожалуйста. Невесомый блок укреплен в вер¬ши¬не двух наклонных плос¬кос¬тей, составляющих с горизонтом углы =30 и =45. Гири 1 и 2 оди¬на¬ко¬вой массы m1=m2=1 кг соединены нитью и перекинуты через блок. Най¬ти уско¬ре¬ние а, с которым движутся гири, и силу натяжения нити Т. Трением гирь 1 и 2 о наклонные плоскости, а также трением в блоке пренебречь.
Обсуждение
Неизвестный
22.10.2009, 09:27
общий
Если блок невесомый и трением можно пренебречь, то сила натяжения нити слева и справа одинакова.
Силы на гирю: mg (вниз), N (перпендикулярно поверхности), сила натяжения нити (вдоль поверхности вверх).
Компоненты сил, перпендикулярные поверхности, скомпенсированы.
Для компонент вдоль поверхности можем написать ma=mg sinA - T, если считать, что ось направлена вниз.
Для нерастяжимой нити ускорение гирь юудет одинаково и противоположного знака, т.е. mg sinA - T = T - mg sinB.
Тогда T = mg(sinA + sinB)/2 и a = (mg sinA - T)/m = g(sinA-sinB)/2
Силы на гирю: mg (вниз), N (перпендикулярно поверхности), сила натяжения нити (вдоль поверхности вверх).
Компоненты сил, перпендикулярные поверхности, скомпенсированы.
Для компонент вдоль поверхности можем написать ma=mg sinA - T, если считать, что ось направлена вниз.
Для нерастяжимой нити ускорение гирь юудет одинаково и противоположного знака, т.е. mg sinA - T = T - mg sinB.
Тогда T = mg(sinA + sinB)/2 и a = (mg sinA - T)/m = g(sinA-sinB)/2
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