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Q.

A uniform chain of length L is lying on the horizontal surface of a table. If the coefficient of friction between the chain and the table top is μ, what is the maximum length of the chain that can hang over the edge of the table without disturbing the rest of the chain on the table?

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a

L1-μ

b

L1+μ

c

μL1+μ

d

μL1-μ

answer is B.

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Detailed Solution

For the chain to be in equilibrium, 

assuming l is the length of he chain hanging

Weight of the hanging part is offset by the frictional force on the resting part. 

MLlg=μMLL-lg

By solving this equation for l

l=μL1+μ

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