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Консультация № 196324
06.09.2019, 14:56
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Материальная точка совершает гармонические колебания. Начальная фаза равна нулю. В некоторый момент времени величина смещения точки от положения равновесия равна 5 см, величина скорости 20 см/с, ускорения 80 см/с2.
Найти:
0) циклическую частоту;
1) период колебаний;
2) фазу колебаний в радианах;
3) амплитуду;
4) для какого момента времени приведены данные в условии задачи?
Материальная точка совершает гармонические колебания. Начальная фаза равна нулю. В некоторый момент времени величина смещения точки от положения равновесия равна 5 см, величина скорости 20 см/с, ускорения 80 см/с2.
Найти:
0) циклическую частоту;
1) период колебаний;
2) фазу колебаний в радианах;
3) амплитуду;
4) для какого момента времени приведены данные в условии задачи?
Обсуждение
08.09.2019, 11:32
общий
это ответ
Здравствуйте, arty324gh!
Предположим, что закон движения материальной точки в общем случае задан уравнением
где
-- координата материальной точки; 
-- циклическая частота колебаний материальной точки; 
-- начальная фаза колебаний материальной точки [1, с. 298].
Тогда, поскольку по условию задачи
постольку в рассматриваемом случае
-- закон изменения скорости материальной точки;
-- закон изменения ускорения материальной точки.
Согласно условию задачи,
см, 
см/с2. Тогда
(рад2/с2,
(рад/с)
-- циклическая частота колебаний материальной точки;
(с) [1, с. 298]
-- период колебаний материальной точки.
Если
см/с, то
(с)
-- момент времени, для которого приведены данные в условии задачи;
(рад)
-- фаза колебаний материальной точки;
(см)
-- амплитуда колебаний материальной точки.
Литература
1. Детлаф А. А., Яворский Б. М. Курс физики. -- М.: Высшая школа, 1989. -- 608 с.
Я предлагаю Вам проверить выполненный мной расчёт во избежание ошибок.
Предположим, что закон движения материальной точки в общем случае задан уравнением
где
-- координата материальной точки; -- циклическая частота колебаний материальной точки; -- начальная фаза колебаний материальной точки [1, с. 298].Тогда, поскольку по условию задачи
постольку в рассматриваемом случае-- закон изменения скорости материальной точки;
-- закон изменения ускорения материальной точки.
Согласно условию задачи,
см, см/с2. Тогда (рад2/с2, (рад/с)-- циклическая частота колебаний материальной точки;
(с) [1, с. 298]-- период колебаний материальной точки.
Если
см/с, то (с)-- момент времени, для которого приведены данные в условии задачи;
(рад)-- фаза колебаний материальной точки;
(см)-- амплитуда колебаний материальной точки.
Литература
1. Детлаф А. А., Яворский Б. М. Курс физики. -- М.: Высшая школа, 1989. -- 608 с.
Я предлагаю Вам проверить выполненный мной расчёт во избежание ошибок.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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