Задача №28.16
Условие
Точка массы m, подверженная действию центральной силы F, описывает лемнискату r2=acos2φ, где a — величина постоянная, r — расстояние точки от силового центра; в начальный момент r=r0, скорость точки равна v0 и составляет угол α с прямой, соединяющей точку с силовым центром. Определить величину силы F, зная, что она зависит только от расстояния r. По формуле Бине F =-(mc2/r2)(d2(1/r)/dφ2+1/r), где c — удвоенная секторная скорость точки.Решение
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1.1
1.2
1.3
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2.1
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3.1
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4.1
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24.1
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28.1
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31.1
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43.1
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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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