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A carpet of mass M made of inextensible ...

A carpet of mass M made of inextensible material is rolled along its length in the form of a cylinder of radius R and is kept on a graph floor. The carpet. Starts unrolling without sliding on the floor when a negligible small push is given to it. Calculate the horizontal velcoity of the axis of the cylindrical part of the carpet when its radius reduces to `R//2`.

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