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A heavy chain with a mass per unite leng...

A heavy chain with a mass per unite length `p` is pulled by the constant force `F` along a horizental surface consisting of a smooth section and a rough section. The chain is initially at rest on the rough surface with `x = 0` . If the coefficient of kinetic friction between the chain and the rough surface is `mu_(k)` determine the velocity `v` of the chain when `x = L` . The force `F` is hreater than `mu_(k) ogL` in under to initate the motion ,

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