A uniform chain of length l is placed on a smooth horizontal table, such that half of its length hangs over one edge. It is released from rest, the velocity with which it leaves the table is
Text Solution
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Consider the diagram. Let the mass of chain be m.
Mass per unit length 
Consider an elementary length of the chain at a depth 
below the table. The potential energy of their parts is given by
Now, potential energy of hanging part,
When chain is completely leaves the table, then potential energy,
Now, loss in potential energy 
From law of conservation of energy,
Loss in potential energy = Gain in kinetic energy
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