A uniform rope of length l lies on a table

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A uniform rope of length l lies on a table. If the coefficient of friction is $\mu $, then the maximum length ${l_1}$ of the part of this rope which can overhang from the edge of the table without sliding down is

A

$\frac{l}{\mu }$

B

$\frac{l}{{\mu + l}}$

C

$\frac{{\mu l}}{{1 + \mu }}$

D

$\frac{{\mu l}}{{\mu - 1}}$

A uniform rope of length l lies on a table. If the coefficient of friction is $\mu $, then the maximum length ${l_1}$ of the part of this rope which can overhang from the edge of the table without sliding down is

For given condition we can apply direct formula
${l_1} = \left( {\frac{\mu }{{\mu + 1}}} \right)\;l$