What is the solution to the Hanging Chain Problem?

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Homework Statement



A uniform chain of total length 'a' has a portion 0<b<a hanging over the edge of a smooth table AB. Prove that the time taken for the chain to slide off the table if it starts from rest is (a/g)1/2*ln(a+((a2-b2)/b)1/2)
 
Please follow the rules of this forum. Show us the relevant equations and tell us what you tried and what you think about the problem. We just don't give answers away.