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85问答库 > 长为L的轻绳,一端固定在O点,另一端栓一质量为m的小球,使小球在竖直平面内做圆周运，欲使小球刚好能通过最

长为L的轻绳,一端固定在O点,另一端栓一质量为m的小球,使小球在竖直平面内做圆周运，欲使小球刚好能通过最

2025-04-07 03:07:34

推荐回答（1个）

回答1：

这个问题可以先分析在最高点的临界条件；在最高点受力分析，有mg+T=mv2/L,刚好通过时，绳的拉力为零；于是由上式可得：v的平方等于gL；再由动能定理得，最低点速度的平方=5gL,在最低点分析：T-mg=5mg,故得结果6mg.

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