Slippery Chain!

A uniform chain of length \ell is released from rest on a smooth horizontal table with a portion h of the chain overhanging as shown in the figure. Find the time taken by the chain to just slip off the table.

Details and assumptions :

  • As already stated, the surface of table and links of chain are smooth and there is no friction between links of chain and the table or in between the links of the chain.
  • The chain will just slip off when the left most end of the chain reaches the edge of the table.
  • The chain possesses some mass which is not negligible.
  • The answer should be in seconds.

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