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Консультация № 196660
12.10.2019, 20:16
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1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
2. Материальная точка совершает гармонические колебания. Максимальная скорость точки равна υm. Чему равна средняя скорость точки за один период колебания?
2. Материальная точка совершает гармонические колебания. Максимальная скорость точки равна υm. Чему равна средняя скорость точки за один период колебания?
Обсуждение
13.10.2019, 13:08
общий
это ответ
Здравствуйте, dar777!
Дано: vm -- амплитудное значение скорости материальной точки, совершающей гармонические колебания.
Определить: среднюю скорость материальной точки за период колебаний.
Решение
Как я понимаю, в конце периода T колебаний точка находится в том же положении, что и в начале периода. Поэтому средняя скорость <v> материальной точки по перемещению за период равна нулю.
Максимальная скорость vm, или амплитуда колебаний скорости материальной точки, составляет vm=[$969$]A. За период колебаний материальная точка совершает путь, равный s=4A, где A -- амплитуда колебаний. Тогда средняя скорость материальной точки по пути за период составляет <v>(s)=4A/T=(4vm/[$969$])/T=(4vm/[$969$])/(2[$960$]/[$969$])=2vm/[$960$].
Ответ: средняя скорость материальной точки по перемещению за период равна нулю; средняя скорость материальной точки по пути за период составляет 2vm/[$960$].
Литература
1. Яворский Б. М., Детлаф А. А. Справочник по физике для инженеров и студентов вузов. -- М.: Наука, 1977. -- 944 с.
Дано: vm -- амплитудное значение скорости материальной точки, совершающей гармонические колебания.
Определить: среднюю скорость материальной точки за период колебаний.
Решение
Как я понимаю, в конце периода T колебаний точка находится в том же положении, что и в начале периода. Поэтому средняя скорость <v> материальной точки по перемещению за период равна нулю.
Максимальная скорость vm, или амплитуда колебаний скорости материальной точки, составляет vm=[$969$]A. За период колебаний материальная точка совершает путь, равный s=4A, где A -- амплитуда колебаний. Тогда средняя скорость материальной точки по пути за период составляет <v>(s)=4A/T=(4vm/[$969$])/T=(4vm/[$969$])/(2[$960$]/[$969$])=2vm/[$960$].
Ответ: средняя скорость материальной точки по перемещению за период равна нулю; средняя скорость материальной точки по пути за период составляет 2vm/[$960$].
Литература
1. Яворский Б. М., Детлаф А. А. Справочник по физике для инженеров и студентов вузов. -- М.: Наука, 1977. -- 944 с.
5
Это самое лучшее решение!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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