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Консультация № 112492
05.12.2007, 18:29
0.00 руб.
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1
1
Здравствуйте! У меня очень плохо с физикой (чесно), помогите пожалуйста решить несколько задач:
1)Маховое колесо, момент инерции которого 245кг/м2 , вращается, совершая 120 об/мин. Через 1 мин. Оно останавливается. Найти число оборотов, которое сделало колесо за это время. Колесо считать однородным диском.
2)Гладкий резиновый шнур, длина которого L и жесткость k, подвешен одним концом к точке О. На другом конце имеется упор. Из точки О начинает падать небольшая муфточка массы m. Пренебрегая массами шнура и упора, найти максимальное растяжение шнура.
1)Маховое колесо, момент инерции которого 245кг/м2 , вращается, совершая 120 об/мин. Через 1 мин. Оно останавливается. Найти число оборотов, которое сделало колесо за это время. Колесо считать однородным диском.
2)Гладкий резиновый шнур, длина которого L и жесткость k, подвешен одним концом к точке О. На другом конце имеется упор. Из точки О начинает падать небольшая муфточка массы m. Пренебрегая массами шнура и упора, найти максимальное растяжение шнура.
Обсуждение
06.12.2007, 05:05
общий
это ответ
Здравствуйте, Margo!
1. Момент инерции к делу не относится (вероятно, попал сюда из другой задачи). Если колесо вращалось равнозамедленно, его средняя скорость равна половине начальной, т.е. 60 об/мин., и за 1 мин. оно сделало 60 оборотов.
2. Опускаясь на расстояние L, муфточка потеряла потенциальную энергию, равную m*g*L, приобретя такую же кинетическую, которая превратилась в потенциальную энергию деформации шнура, равную k*Δ<sup>2</sup>/2, где Δ - максимальное растяжение шнура; отсюда:
Δ = SQRT(2*m*g*L/k).
1. Момент инерции к делу не относится (вероятно, попал сюда из другой задачи). Если колесо вращалось равнозамедленно, его средняя скорость равна половине начальной, т.е. 60 об/мин., и за 1 мин. оно сделало 60 оборотов.
2. Опускаясь на расстояние L, муфточка потеряла потенциальную энергию, равную m*g*L, приобретя такую же кинетическую, которая превратилась в потенциальную энергию деформации шнура, равную k*Δ<sup>2</sup>/2, где Δ - максимальное растяжение шнура; отсюда:
Δ = SQRT(2*m*g*L/k).
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