A uniform metal chain is placed on a rough

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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

$\frac{3}{4}$

B

$\frac{1}{4}$

C

$\frac{2}{3}$

D

$\frac{1}{2}$

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

${\mu _s} = \frac{{{\rm{Lenght\, of \,the\, chain\, hanging \,from \,the \,table }}}}{{{\rm{Length \,of \,the \,chain\, lying \,on\, the \,table}}}}$

$ = \frac{{l/3}}{{l - l/3}} = \frac{{l/3}}{{2l/3}} = \frac{1}{2}$