The end of a chain of length (L) and mass (ho) per unit length which is piled

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The end of a chain of length \(L\) and mass \(ho\) per unit length which is piled on a platform is lifted vertically with a constant velocity \(v\) by a variable force \(P\). Find \(P\) as a function of the height \(x\) of the end above the platform. Also find the energy lost during the lifting of the chain.

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