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Консультация № 192112
13.12.2017, 16:53
0.00 руб.
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3
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Здравствуйте! У меня возникли сложности с таким вопросом:
Материальная точка массой m = 12 кг движется из состояния покоя по направляющей радиуса R, расположенной в горизонтальной плоскости. Определить скорость точки в момент времени t = 4 с после начала движения, если на нее действует сила F = 22H, которая образует постоянный угол 40° с касательной к траектории точки
Материальная точка массой m = 12 кг движется из состояния покоя по направляющей радиуса R, расположенной в горизонтальной плоскости. Определить скорость точки в момент времени t = 4 с после начала движения, если на нее действует сила F = 22H, которая образует постоянный угол 40° с касательной к траектории точки
Обсуждение
13.12.2017, 19:03
общий
Адресаты:
Какие сложности возникли у Вас с этим вопросом?
Об авторе:
Facta loquuntur.
Facta loquuntur.
13.12.2017, 20:28
общий
это ответ
Здравствуйте, Fever!
`Дано:
m = 12 кг
v0 = 0
t1 = 4 с
F = 22 H
[$945$] = 40[$186$]
Найти: v1
Решение:
Сила F сообщает точке тангенциальное ускорение
aт = (F/m)*cos[$945$] (1)
Тогда скорость
v1 = ат*t1 (2)
Окончательно
v1 = (Ft1/m)*cos[$945$] = (22*4/12)*cos 40[$186$] = 7,333 * 0,7666 = 5,6 м/с
`Дано:
m = 12 кг
v0 = 0
t1 = 4 с
F = 22 H
[$945$] = 40[$186$]
Найти: v1
Решение:
Сила F сообщает точке тангенциальное ускорение
aт = (F/m)*cos[$945$] (1)
Тогда скорость
v1 = ат*t1 (2)
Окончательно
v1 = (Ft1/m)*cos[$945$] = (22*4/12)*cos 40[$186$] = 7,333 * 0,7666 = 5,6 м/с
Об авторе:
С уважением
shvetski
С уважением
shvetski
для решения задачи можно применить основное уравнение динамики вращательного движения. Тогда получим
(м/с) -- искомая скорость.
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