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Консультация № 196077
09.08.2019, 21:37
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1
Здравствуйте! Прошу помощи в следующем вопросе:
Даны уравнения движения точки: x=π^2-t^2 y=t^2-cost . Определите проекцию ускорения, a_y , в момент времени когда координата x=0. Координаты выражаются в метрах, время в секундах.
Даны уравнения движения точки: x=π^2-t^2 y=t^2-cost . Определите проекцию ускорения, a_y , в момент времени когда координата x=0. Координаты выражаются в метрах, время в секундах.
Обсуждение
10.08.2019, 16:08
общий
это ответ
Здравствуйте, dar777!
Пусть движение точки задано уравнениями
Тогда, в соответствии с формулами на страницах 12, 15 [1], получим
-- проекция скорости точки на ось ординат;
-- проекция ускорения точки на ось ординат.
Чтобы определить момент времени, в который абсцисса точки равна нулю, решим уравнение
Получим 
(корень 
не рассматриваем; при необходимости Вы можете сделать это самостоятельно). При этом
м/с2 -- искомая проекция ускорения.
Литература
1. Яворский Б. М., Детлаф А. А., Лебедев А. К. Справочник по физике для инженеров и студентов вузов. -- М.: ООО "Издательство Оникс", 2007. -- 1056 с.
Пусть движение точки задано уравнениями
Тогда, в соответствии с формулами на страницах 12, 15 [1], получим -- проекция скорости точки на ось ординат; -- проекция ускорения точки на ось ординат.Чтобы определить момент времени, в который абсцисса точки равна нулю, решим уравнение
Получим (корень не рассматриваем; при необходимости Вы можете сделать это самостоятельно). При этом м/с2 -- искомая проекция ускорения.Литература
1. Яворский Б. М., Детлаф А. А., Лебедев А. К. Справочник по физике для инженеров и студентов вузов. -- М.: ООО "Издательство Оникс", 2007. -- 1056 с.
5
Это самое лучшее решение!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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