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Консультация № 197869
25.02.2020, 12:10
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Здравствуйте! Прошу помощи в следующем вопросе:
При движении тела его координаты изменяются по закону x=3 sin(πt) м,y=4 cos(πt) м. Найти выражения для модуля радиуса-вектора ,скорости и ускорения тела .Определить значения тангенциального ускорения тела через 10 секунд после начала движения.
При движении тела его координаты изменяются по закону x=3 sin(πt) м,y=4 cos(πt) м. Найти выражения для модуля радиуса-вектора ,скорости и ускорения тела .Определить значения тангенциального ускорения тела через 10 секунд после начала движения.
Обсуждение
28.02.2020, 13:56
общий
Адресаты:
Многие авторы вопросов создают Консультации и уходят ч-з 6 часов.
Я мог бы решить Вашу задачу, но в Вашей РегКарте "Последнее посещение: 25.02.2020, 12:40 (3 сут. 01 час…назад).
Вы ушли или ещё ждёте помощь?
Я мог бы решить Вашу задачу, но в Вашей РегКарте "Последнее посещение: 25.02.2020, 12:40 (3 сут. 01 час…назад).
Вы ушли или ещё ждёте помощь?
01.03.2020, 05:23
общий
это ответ
Здравствуйте, vas2497@yandex.ru!
Радиус-вектор по условию равен
Его модуль будет определятся выражением
Скорость является производной по времени от радиус-вектора:
а её модуль будет равен
Наконец, ускорение является производной по времени от скорости:
и его модуль определяется выражением
Тангенциальное ускорение равно производной по времени от модуля скорости, то есть
В частности, для t = 10 c имеем
Радиус-вектор по условию равен
Его модуль будет определятся выражением
Скорость является производной по времени от радиус-вектора:
а её модуль будет равен
Наконец, ускорение является производной по времени от скорости:
и его модуль определяется выражением
Тангенциальное ускорение равно производной по времени от модуля скорости, то есть
В частности, для t = 10 c имеем
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