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Консультация № 196011
23.07.2019, 19:09
0.00 руб.
0
4
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Математический маятник длиной 20 см с материальной точкой массой 3 кг движется по закону α(t) = 0.5cos(9t + 2), рад. Определить период колебаний маятника.
Математический маятник длиной 20 см с материальной точкой массой 3 кг движется по закону α(t) = 0.5cos(9t + 2), рад. Определить период колебаний маятника.
Обсуждение
23.07.2019, 19:56
общий
Адресаты:
Из какого источника Вы взяли эту задачу?
Об авторе:
Facta loquuntur.
Facta loquuntur.
23.07.2019, 21:04
общий
это ответ
Здравствуйте, dar777!
Поскольку
постольку колебания математического маятника можно считать малыми. В этом случае, согласно формуле (27.18) [1, с. 301], циклическая частота и период малых колебаний математического маятника на поверхности Земли должны быть равны соответственно
(рад/с)
и
(с).
Но в соответствии с уравнением колебаний
рад/с. Поэтому можно предположить, что маятник находится не на поверхности Земли и период его колебаний составляет
(с).
От массы материальной точки период колебаний математического маятника не зависит.
Литература
1. Детлаф А. А., Яворский Б. М. Курс физики. -- М.: Высшая школа, 1989. -- 608 с.
Поскольку
постольку колебания математического маятника можно считать малыми. В этом случае, согласно формуле (27.18) [1, с. 301], циклическая частота и период малых колебаний математического маятника на поверхности Земли должны быть равны соответственно (рад/с)и
(с).Но в соответствии с уравнением колебаний
рад/с. Поэтому можно предположить, что маятник находится не на поверхности Земли и период его колебаний составляет (с).От массы материальной точки период колебаний математического маятника не зависит.
Литература
1. Детлаф А. А., Яворский Б. М. Курс физики. -- М.: Высшая школа, 1989. -- 608 с.
5
Это самое лучшее решение!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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