Question

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

Answer 1

Answer: (C)

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

Answer 2

For given condition we can apply direct formula

$l _ { 1 } = \left( \frac { \mu } { \mu + 1 } \right) l$