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Консультация № 196658
12.10.2019, 11:43
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1
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Точка участвует в двух одинаково направленных колебаниях, причем А1 = 2 см, А2 = 4 см, 1 = 900, 2 = 00, частота колебаний 2 Гц.
Найти:
7) координату точки в момент времени t = 0 (в см);
8) координату точки через четверть периода (в см);
9) максимальное смещение точки от положения равновесия (в см).
Точка участвует в двух одинаково направленных колебаниях, причем А1 = 2 см, А2 = 4 см, 1 = 900, 2 = 00, частота колебаний 2 Гц.
Найти:
7) координату точки в момент времени t = 0 (в см);
8) координату точки через четверть периода (в см);
9) максимальное смещение точки от положения равновесия (в см).
Обсуждение
13.10.2019, 10:03
общий
это ответ
Здравствуйте, arty324gh!
Решение
Согласно исходным данным, слагаемые колебания можно задать уравнениями
см/с, 
см/с. В момент времени 
(см);
(см)
-- координата точки.
Величина
изменяется с той же частотой 
Гц, что и слагаемые колебания [1, с. 110]. Циклическая частота колебаний составляет 
(рад/с), а период 
(с). Поэтому через четверть периода, то есть в момент времени 
с
(см),
(см)
-- координата точки.
Максимальное смещение точки от положения равновесия, или амплитуда результирующего колебания, составляет, согласно [1, с. 111],
(см).
Ответ: 7)
см; 8) 
см; 9) 
см.
Литература
1. Яворский Б. М., Детлаф А. А. Справочник по физике для инженеров и студентов вузов. -- М.: Наука, 1977. -- 944 с.
Решение
Согласно исходным данным, слагаемые колебания можно задать уравнениями
см/с, см/с. В момент времени (см); (см)-- координата точки.
Величина
изменяется с той же частотой Гц, что и слагаемые колебания [1, с. 110]. Циклическая частота колебаний составляет (рад/с), а период (с). Поэтому через четверть периода, то есть в момент времени с (см), (см)-- координата точки.
Максимальное смещение точки от положения равновесия, или амплитуда результирующего колебания, составляет, согласно [1, с. 111],
(см).Ответ: 7)
см; 8) см; 9) см.Литература
1. Яворский Б. М., Детлаф А. А. Справочник по физике для инженеров и студентов вузов. -- М.: Наука, 1977. -- 944 с.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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