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Консультация № 194155
11.12.2018, 20:40
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Уважаемые эксперты!
За время, равное одному периоду, амплитуда затухающих колебаний, совершаемых
материальной точкой, уменьшилось в е раз. Определить скорость материальной точки в момент
времени t = Т/2, если коэффициент затухания 0,5 с
-1, начальное значение амплитуды
A0 = 0,2 м, начальное отклонение x0 = 0.
За время, равное одному периоду, амплитуда затухающих колебаний, совершаемых
материальной точкой, уменьшилось в е раз. Определить скорость материальной точки в момент
времени t = Т/2, если коэффициент затухания 0,5 с
-1, начальное значение амплитуды
A0 = 0,2 м, начальное отклонение x0 = 0.
Обсуждение
14.12.2018, 20:48
общий
это ответ
Здравствуйте, 132457681324576813245768zxcvbnm!
Скорость затухания колебаний определяется коэффициентом затухания
который по величине обратен тому промежутку времени, за который амплитуда уменьшается в 
раз. Поскольку амплитуда уменьшилась в раз за время 
равное периоду колебаний, постольку 
(с). Тогда циклическая частота затухающих колебаний составляет
(с-1);
затухающие колебания описываются уравнением
а скорость материальной точки -- уравнением
В момент времени
(с) скорость материальной точки составляет
(м/с).
Скорость затухания колебаний определяется коэффициентом затухания
который по величине обратен тому промежутку времени, за который амплитуда уменьшается в раз. Поскольку амплитуда уменьшилась в раз за время равное периоду колебаний, постольку (с). Тогда циклическая частота затухающих колебаний составляет (с-1);затухающие колебания описываются уравнением
а скорость материальной точки -- уравнением
В момент времени
(с) скорость материальной точки составляет (м/с).
Об авторе:
Facta loquuntur.
Facta loquuntur.
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