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Консультация № 198866
07.06.2020, 17:40
0.00 руб.
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Система из двух лёгких прочных тросов, двух неподвижных и двух подвижных блоков и двух грузов подвешена к потолку (см. рисунок). Конец одного из тросов закреплён на шкиве лебедки, которая вытягивает трос с постоянной скоростью u=1,5 м/с. Массы грузов подобраны так, что они поднимаются с одинаковой постоянной скоростью. За какое время груз 2 поднимется на высоту h=1,5 м от начального положения?
Система из двух лёгких прочных тросов, двух неподвижных и двух подвижных блоков и двух грузов подвешена к потолку (см. рисунок). Конец одного из тросов закреплён на шкиве лебедки, которая вытягивает трос с постоянной скоростью u=1,5 м/с. Массы грузов подобраны так, что они поднимаются с одинаковой постоянной скоростью. За какое время груз 2 поднимется на высоту h=1,5 м от начального положения?
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Обсуждение
12.06.2020, 03:49
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это ответ
Здравствуйте, suvorov.shool@mail.ru!
Здравствуйте, suvorov.shool@mail.ru!
Подвижный блок дает выигрыш в силе в два раза. И в то же время проигрыш в расстоянии в те же 2 раза. Поднимая груз со скоростью V, вы будете вытягивать веревку со скоростью 2V. В вашей схеме 2 груз поднимается через 2 подвижных блока. При этом поднимаются оба груза.
Большого слона будем есть по частям.
Закрепим 1 груз. Тогда за 0,5 с лебедка вытянет 0,75 м веревки, второй по счету подвижный блок опустится на 1,5 м, а 2 груз поднимется на 1,5 м.
Теперь закрепим 2 груз. И нам нужно поднять первый груз на 1,5 м. Для этого веревку нужно вытянуть на 3 м. Для этого лебедке нужно поработать еще 2 с.
Итого 2,5 секунды.
Здравствуйте, suvorov.shool@mail.ru!
Подвижный блок дает выигрыш в силе в два раза. И в то же время проигрыш в расстоянии в те же 2 раза. Поднимая груз со скоростью V, вы будете вытягивать веревку со скоростью 2V. В вашей схеме 2 груз поднимается через 2 подвижных блока. При этом поднимаются оба груза.
Большого слона будем есть по частям.
Закрепим 1 груз. Тогда за 0,5 с лебедка вытянет 0,75 м веревки, второй по счету подвижный блок опустится на 1,5 м, а 2 груз поднимется на 1,5 м.
Теперь закрепим 2 груз. И нам нужно поднять первый груз на 1,5 м. Для этого веревку нужно вытянуть на 3 м. Для этого лебедке нужно поработать еще 2 с.
Итого 2,5 секунды.
5
Об авторе:
С уважением
shvetski
С уважением
shvetski
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