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13) A flexible chain of length L and mass M is slowlypulled at constant speed up over the edge of a tableby a force f parallel to the edge of the table. As-sume that there is no friction between the table andthe chain, calculate the workdone

Answer»

Let us consider that the whole chain is initially hanging from the edge of the table. Then, the centre of mass is at a height of L/2 from the edge of the table.Now when, the whole chain is pulled back on the table the centre of mass rises a height L/2.

Now the work done = increase in the potential energy of centre of mass = m×​ g×​ L/2Therefore,W= mgL/2



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