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Консультация № 199041
27.07.2020, 00:59
0.00 руб.
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Здравствуйте! Прошу помощи в следующем вопросе:
Циклоида — это кривая, по которой движется точка на ободе вертикального колеса, которое катится без проскальзывания по горизонтальной поверхности (см. рисунок). Воробей летит по участку циклоиды с «высотой арки» H=4 м с постоянной по величине скоростью 2 м/с. Найдите ускорение воробья при прохождении верхней точки циклоиды. Ответ выразите в м/с2, округлив до десятых.
Циклоида — это кривая, по которой движется точка на ободе вертикального колеса, которое катится без проскальзывания по горизонтальной поверхности (см. рисунок). Воробей летит по участку циклоиды с «высотой арки» H=4 м с постоянной по величине скоростью 2 м/с. Найдите ускорение воробья при прохождении верхней точки циклоиды. Ответ выразите в м/с2, округлив до десятых.
Обсуждение
28.07.2020, 02:26
общий
Я не могу понять, где и в какую сторону летит воробей? "на ободе вертикального колеса" он не может лететь.
Догадался ли кто-нибудь?
Догадался ли кто-нибудь?
28.07.2020, 12:31
общий
Адресаты:
Владимир Николаевич, у меня получается так
a=V2/(2H) = 0,5 м/с2
a=V2/(2H) = 0,5 м/с2
Об авторе:
С уважением
shvetski
С уважением
shvetski
28.07.2020, 13:13
общий
Если Вы уже поняли суть и решили задачу, тогда Ответ за Вами! 
Я пошёл заканчивать переводить 300 картин-формул в htm-тэги на rfpro.ru/question/199028#316184
Я пошёл заканчивать переводить 300 картин-формул в htm-тэги на rfpro.ru/question/199028#316184
28.07.2020, 13:15
общий
это ответ
Здравствуйте, goldelox!
Дано:
V=2 м/с
H=4 м
Найти: а
Решение:
Воробей летит по участку криволинейной траектории с постоянной по модулю скоростью. Следовательно ускорение воробья центростремительное.
a=V2/R
где R - радиус кривизны траектории в данной точке циклоиды. Осталось его найти.
Анализ литературы в интернете (например здесь ) дает основания считать, что радиус кривизны циклоиды в любой точке равен удвоенному расстоянию до мгновенного центра вращения. В нашем случае это расстояние равно Н (мгновенный центр вращения - нижняя точка обода колеса). Следовательно
R=2H
Окончательно
a=V2/(2H) = 0,5 м/с2
Дано:
V=2 м/с
H=4 м
Найти: а
Решение:
Воробей летит по участку криволинейной траектории с постоянной по модулю скоростью. Следовательно ускорение воробья центростремительное.
a=V2/R
где R - радиус кривизны траектории в данной точке циклоиды. Осталось его найти.
Анализ литературы в интернете (например здесь ) дает основания считать, что радиус кривизны циклоиды в любой точке равен удвоенному расстоянию до мгновенного центра вращения. В нашем случае это расстояние равно Н (мгновенный центр вращения - нижняя точка обода колеса). Следовательно
R=2H
Окончательно
a=V2/(2H) = 0,5 м/с2
5
Спасибо большое!
Об авторе:
С уважением
shvetski
С уважением
shvetski
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