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Задать вопрос экспертам

Консультация № 176529

06.02.2010, 15:48

45.00 руб.

06.02.2010, 20:41

0 1 1

Образование

Уважаемые эксперты, помогите решить задачку.

http://s005.radikal.ru/i212/1002/55/24ebed36564b.jpg
На равномерно вращающемся диске на расстоянии 20 см от оси лежит кубик. Коэффициент трения между кубиком и диском [$956$]=0,08. С какой максимальной угловой скоростью может вращаться диск, чтобы кубик ещё удерживался на нём?

При возможности с рисунком и пояснениями.
Зарание Спасибо!

Обсуждение

давно

Посетитель
226425
1567

06.02.2010, 17:12

общий

это ответ

Здравствуйте, sanekvseti.
Дано:
R=20 см = 0,2 м
[$956$]=0,08
Найти: [$969$]
Решение:
При вращении диска на кубик действуют три силы.

Сила тяжести mg и сила реакции N уравновешивают друг друга, а сила трения F[sub]тр[/sub] сообщает кубику центростремительное ускорение а_n=[$969$]²*R
По определению F_тр=[$956$]*N
Поскольку N=mg, то получаем
F_тр=[$956$]*mg
По 2-му закону Ньютона
F_тр=m*a_n=m*[$969$]²*R

Следовательно

[$956$]*g = [$969$]²*R

[$8658$] [$969$]=[$8730$]([$956$]*g/R) = 2 c^-1

Удачи

4

Об авторе:
С уважением
shvetski

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