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Консультация № 200753
28.04.2021, 11:39
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Точка совершает гармоническое колебание. Период колебаний 2 с, амплитуда 50 мм, начальная фаза равна нулю. Найти скорость точки в момент времени, когда смещение точки от положения равновесия равна 25 мм.
Точка совершает гармоническое колебание. Период колебаний 2 с, амплитуда 50 мм, начальная фаза равна нулю. Найти скорость точки в момент времени, когда смещение точки от положения равновесия равна 25 мм.
Обсуждение
28.04.2021, 18:18
общий
29.04.2021, 06:22
это ответ
Здравствуйте, ushatalal!
Предлагаю Вам следующее решение задачи.
Дано:
с -- период гармонических колебаний точки; 
м -- амплитуда гармонических колебаний точки; 
-- начальная фаза гармонических колебаний точки; 
м -- смещение точки от положения равновесия.
Определить:
-- скорость точки в момент времени, когда смещение точки от положения равновесия равно 
Примем, что гармонические колебания точки заданы уравнением
Тогда её скорость изменяется по закону 
При этом 
откуда 
(с) -- момент времени. в который смещение точки от положения равновесия равно Подставляя это значение в выражение для скорости, получим
(м/с).
Ответ:
м/с.
Предлагаю Вам следующее решение задачи.
Дано:
с -- период гармонических колебаний точки; м -- амплитуда гармонических колебаний точки; -- начальная фаза гармонических колебаний точки; м -- смещение точки от положения равновесия.Определить:
-- скорость точки в момент времени, когда смещение точки от положения равновесия равно Решение
Примем, что гармонические колебания точки заданы уравнением
Тогда её скорость изменяется по закону При этом откуда (с) -- момент времени. в который смещение точки от положения равновесия равно Подставляя это значение в выражение для скорости, получим (м/с).Ответ:
м/с.
Об авторе:
Facta loquuntur.
Facta loquuntur.
28.04.2021, 21:51
общий
Адресаты:
Андрей Владимирович, немного поправлю... обратите внимание - амплитуда скорости перед косинусом 2[$960$]А/Т - в знаменателе - обратите внимание - большая Т - период.
Об авторе:
С уважением
shvetski
С уважением
shvetski
Я внёс исправление в предложенное решение.
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