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The weight of a falling chain, revisited

机译:再谈下降链的重量

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摘要

A vertically hanging chain is released from rest and falls due to gravity on a scale pan. We discuss the various experimental and theoretical aspects of this classic problem. Careful time-resolved force measurements allow us to determine the differences between the idealized problem and its implementation in the laboratory. We observe that, in spite of the upward force exerted by the pan on the chain, the free end at the top falls faster than a freely falling body. Because a real chain exhibits a finite minimum radius of curvature, the contact at the bottom results in a tensional force, which pulls the falling part downward.
机译:垂直悬挂的链条从静止状态松开,并由于重力作用落在秤盘上。我们讨论了这个经典问题的各种实验和理论方面。仔细的时间分辨力测量使我们能够确定理想化问题及其在实验室中的实现之间的差异。我们观察到,尽管平底锅在链条上施加了向上的力,但顶部的自由端比自由下落的物体下落得更快。由于真实的链条具有有限的最小曲率半径,因此底部的接触会产生拉力,该拉力将下降的部分向下拉。

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