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Консультация № 202474
27.03.2022, 15:04
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
На гладкой горизонтальной плоскости движется небольшое тело массы m, привязанное к нерастяжимой нити, другой конец которой втягивают в отверстие О с постоянной скоростью. Найти натяжение нити в зависимости от расстояния r тела до отверстия, если при r=r0 угловая скорость нити была равна [$969$]0.
Источник: https://earthz.ru/solves/Zadacha-po-fizike-3461
В решении авторы используют закон сохранения момента импульса. При этом оказывается, что угловая скорость меняется во времени. При этом меняется и момент инерции тела относительно точки O. Но если записать уравнение вращательного движения в виде M = I[$183$][$949$], где M - суммарный момент сил, то оказывается что I[$183$][$949$] = 0 (у нас M = 0, см. ссылку) [$8658$] [$949$] = 0. Но тогда угловая скорость постоянна, т.е. не меняется. Но это противоречит закону сохранения момента импульса. Но оба закона должны работать при переменном I. Помогите найти противоречие!
На гладкой горизонтальной плоскости движется небольшое тело массы m, привязанное к нерастяжимой нити, другой конец которой втягивают в отверстие О с постоянной скоростью. Найти натяжение нити в зависимости от расстояния r тела до отверстия, если при r=r0 угловая скорость нити была равна [$969$]0.
Источник: https://earthz.ru/solves/Zadacha-po-fizike-3461
В решении авторы используют закон сохранения момента импульса. При этом оказывается, что угловая скорость меняется во времени. При этом меняется и момент инерции тела относительно точки O. Но если записать уравнение вращательного движения в виде M = I[$183$][$949$], где M - суммарный момент сил, то оказывается что I[$183$][$949$] = 0 (у нас M = 0, см. ссылку) [$8658$] [$949$] = 0. Но тогда угловая скорость постоянна, т.е. не меняется. Но это противоречит закону сохранения момента импульса. Но оба закона должны работать при переменном I. Помогите найти противоречие!
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