Задача №9.27

Условие

Тонкий однородный лист изогнут в виде двух треугольников и квадрата, как показано на рисунке: равнобедренный треугольник OAB лежит в плоскости xy, прямоугольный треугольник ODE — в плоскости yz (вершина прямого угла — точка E), квадрат OBKE — в горизонтальной плоскости. Определить координаты центра тяжести изогнутого листа.

Решение




Предыдущая задача №26
Найти предельную высоту h конуса, при которой тело, состоящее из конуса и полушара одинаковой плотности и радиуса r, теряет устойчивость в положении равновесия при условии предыдущей задачи.
Следующая задача №28
По данному уравнению движения точки на произвольно выбранной траектории построить через равные промежутки времени шесть положений точки, определить расстояние s по траектории от начала отсчета до конечного положения точки и пройденный ею путь σ за указанный промежуток времени (s и σ — в сантиметрах, t — в секундах).
1) s = 5 - 4t + t2, 0 ≤ t ≤ 5.
2) s = 1 + 2t - t2, 0 ≤ t ≤ 2,5.
3) s = 4 sin 10t, π/20 ≤ t ≤ Зπ/10.
Источник: Решебник Мещерского 12 класс
☆
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1.1
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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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49.1
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56.7
56.9
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