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Консультация № 196110
14.08.2019, 01:06
0.00 руб.
1
3
1
Здравствуйте! У меня возникли сложности с таким вопросом:
Два груза массой m1 и m2 соединены невесомой и нерастяжимой нитью и подвешены с помощью двух последовательно соединенных пружин жесткостью k1 и k2 к потолку (см. рис.). На какое максимальное расстояние x0 можно опустить грузы, чтобы при последующем движении нить оставалась всё время натянутой?
Два груза массой m1 и m2 соединены невесомой и нерастяжимой нитью и подвешены с помощью двух последовательно соединенных пружин жесткостью k1 и k2 к потолку (см. рис.). На какое максимальное расстояние x0 можно опустить грузы, чтобы при последующем движении нить оставалась всё время натянутой?
Прикрепленные файлы:
Обсуждение
14.08.2019, 15:04
общий
Ответ: x0 = (m1+m2)(k1+k2)/k1k2*g
Об авторе:
Лучшая увеличительная линза - ноги.
Лучшая увеличительная линза - ноги.
18.08.2019, 08:01
общий
это ответ
Здравствуйте, dar777!
Я предполагаю, что нить не будет натянутой, если при движении вниз ускорение нижнего груза окажется по абсолютной величине больше ускорения силы тяжести или равно ему
[1, с. 262].
Воспользуемся тем, что две последовательно соединённые пружины эквивалентны одной с коэффициентом упругости
[2, с. 218]. Масса грузов, прикреплённых к пружинам, равна 
Я предполагаю, что в рассматриваемом случае грузы будут совершать гармонические колебания, описываемые уравнением
где
Решением этого уравнения является функция
[2, с. 206, 209].
Тогда
и должно быть
Литература
1. Элементарный учебник физики. В 3 т. Т. 1. / Под ред. Г. С. Ландсберга. -- М.: АОЗТ "ШРАЙК", 1995. -- 608 с.
2. Сивухин Д. В. Общий кус физики. В 5 т. Т. 1. -- М.: Наука, 1979. -- 520 с.
Я предполагаю, что нить не будет натянутой, если при движении вниз ускорение нижнего груза окажется по абсолютной величине больше ускорения силы тяжести или равно ему
[1, с. 262].Воспользуемся тем, что две последовательно соединённые пружины эквивалентны одной с коэффициентом упругости
[2, с. 218]. Масса грузов, прикреплённых к пружинам, равна Я предполагаю, что в рассматриваемом случае грузы будут совершать гармонические колебания, описываемые уравнениемгде
Решением этого уравнения является функция[2, с. 206, 209].
Тогда
и должно быть
Литература
1. Элементарный учебник физики. В 3 т. Т. 1. / Под ред. Г. С. Ландсберга. -- М.: АОЗТ "ШРАЙК", 1995. -- 608 с.
2. Сивухин Д. В. Общий кус физики. В 5 т. Т. 1. -- М.: Наука, 1979. -- 520 с.
5
Это самое лучшее решение!
Об авторе:
Facta loquuntur.
Facta loquuntur.
18.08.2019, 08:17
общий
Адресаты:
dar777 Ответ: x0 = (m1+m2)(k1+k2)/k1k2*g
Антон! Продолжайте преобразования!
При этом, если следовать тому, что Вы набрали как ответ, то нить уже не будет натянутой, поэтому знак равенства нужно заменить на знак "меньше".
Об авторе:
Facta loquuntur.
Facta loquuntur.
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