Dynamics of ropes and chains: I. the fall of the folded chain

Physics

Scientific paper

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Scientific paper

The problem of the paradoxical motion of the falling chain is considered. Laboratory and numerical experiments are performed with the initially folded configurations. The velocity and the acceleration of the falling tip are analysed. It is shown that if the acceleration of the chain tip exceeds the gravitational acceleration g, it results in the appearance of a sharp peak in the time evolution of the tip velocity. An approximate analytical formula describing the rising part of the peak is presented and reasons for its limited applicability are discussed.

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