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Scales and Chains

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A chain of mass M and length l is suspended vertically with its lowest end touching a scale. The chain is released and falls onto the scale.

What is the reading of the scale when a length of chain x has fallen?

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The solution provides detailed step-by-step calculations and explanations for what the reading of a scale would be when a suspended chain has fallen onto it.

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Assume that at time t', a length of chain x-Δx has fallen at the scale at velocity v', the mass of chain x-Δx is m', at time t, a length of chain x has fallen at the scale at velocity v, the mass of chain x is m:
During the period t' to t, ...

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