ВХОД | РЕГИСТРАЦИЯ

Задача №16.2

Условие

Колесо катится по наклонной плоскости, образующей угол 30° с горизонтом. Центр O колеса движется по закону xO=10t2 см, где x — ось, направленная параллельно наклонной плоскости. К центру O колеса подвешен стержень OA=36 см, качающийся вокруг горизонтальной оси O, перпендикулярной плоскости рисунка, по закону φ=(π/3)sin(πt/6) рад. Найти скорость конца A стержня AO в момент времени t=1 с.

Решение





Предыдущая задача №1
Направив ось перпендикулярно скорости любой из точек плоской фигуры, показать, что проекции на эту ось скоростей всех лежащих на ней точек равны нулю.
Следующая задача №3
При движении диска радиуса r=20 см в вертикальной плоскости xy его центр C движется согласно уравнениям xC=10t м, yC=(100-4,9t2) м. При этом диск вращается вокруг горизонтальной оси C, перпендикулярной плоскости диска, с постоянной угловой скоростью ω=π/2 рад/с. Определить в момент времени t=0 скорость точки A, лежащей на ободе диска. Положение точки A на диске определяется углом φ=ωt, отсчитываемым от вертикали против хода часовой стрелки.
Источник: Решебник Мещерского 12 класс
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1.1
1.2
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2.1
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24.1
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28.1
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32.1
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33.1
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46.1
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47.1
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48.1
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49.1
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55.41
55.44
56.3
56.7
56.9

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