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Консультация № 200859
18.05.2021, 21:32
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос: Материальная точка движется по окружности с нормальной составляющей ускорения . При этом момент силы, действующий на точку относительно центра вращения, выражается степенной функцией времени . Найти значение n.
Обсуждение
20.05.2021, 05:57
общий
Адресаты:
"с нормальной составляющей ускорения" - не указано значение этой составляющей.
"выражается степенной функцией времени" - слишком расплывчатое описание (НЕ-конкретное).
Я подозреваю, Вы задали задачу с неполноценно-испорченным Условием. Проверьте и уточните его.
"выражается степенной функцией времени" - слишком расплывчатое описание (НЕ-конкретное).
Я подозреваю, Вы задали задачу с неполноценно-испорченным Условием. Проверьте и уточните его.
22.05.2021, 07:05
общий
это ответ
Здравствуйте, cecylina44!
Я предполагаю, что условие задачи таково:
Предлагаю Вам следующее её решение.
Дано:
-- нормальная составляющая ускорения материальной точки, которая движется по окружности; 
-- зависимость от времени момента силы, действующего на точку, относительно центра вращения.
Определить:
-- показатель степени в зависимости 
(По техническим причинам для обозначения пропорциональности использован символ
)
Известно, что при движении по окружности
где 
- скорость материальной точки, 
- радиус окружности. Поэтому если 
то 
Для тангенциальной составляющей ускорения будет выполняться соотношение 
Вектор момента силы
на его величину будет влиять только тангенциальная составляющая силы, потому что нормальная составляющая (как и нормальная составляющая ускорения) проходит через центр вращения. Следовательно, 
То есть 
Ответ:
Я предполагаю, что условие задачи таково:
Предлагаю Вам следующее её решение.
Дано:
-- нормальная составляющая ускорения материальной точки, которая движется по окружности; -- зависимость от времени момента силы, действующего на точку, относительно центра вращения.Определить:
-- показатель степени в зависимости (По техническим причинам для обозначения пропорциональности использован символ
)Решение
Известно, что при движении по окружности
где - скорость материальной точки, - радиус окружности. Поэтому если то Для тангенциальной составляющей ускорения будет выполняться соотношение Вектор момента силы
на его величину будет влиять только тангенциальная составляющая силы, потому что нормальная составляющая (как и нормальная составляющая ускорения) проходит через центр вращения. Следовательно, То есть Ответ:
Об авторе:
Facta loquuntur.
Facta loquuntur.
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