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Question

Question: A uniform metal chain is placed on a rough table such that one end of chain hangs down over the edge...

A uniform metal chain is placed on a rough table such that one end of chain hangs down over the edge of the table. When one-third of its length hangs over the edge, the chain starts sliding. Then, the coefficient of static friction is

A

34\frac { 3 } { 4 }

B

14\frac { 1 } { 4 }

C

23\frac { 2 } { 3 }

D

12\frac { 1 } { 2 }

Answer

12\frac { 1 } { 2 }

Explanation

Solution

μs= Lenght of the chain hanging from the table  Length of the chain lying on the table \mu _ { s } = \frac { \text { Lenght of the chain hanging from the table } } { \text { Length of the chain lying on the table } }

=l/3ll/3=l/32l/3=12= \frac { l / 3 } { l - l / 3 } = \frac { l / 3 } { 2 l / 3 } = \frac { 1 } { 2 }