A uniform rope of length l lies on a table. If the coefficient of friction is μ then the maximum length l1 of the part of this rope which can overhang from the edge of the table without sliding down is

Question

A uniform rope of length l lies on a table. If the coefficient of friction is μ then the maximum length l1 of the part of this rope which can overhang from the edge of the table without sliding down is (A)  (l/μ )  (B)  (l/μ +1)  (C)  (μ l/1+μ )  (D)  (μ l/μ -1)

Tardigrade Admin · Accepted Answer

The length of the rope which can overhang from the edge of the table without sliding down is given by l1=( (μ /1+μ ) )l

Q. A uniform rope of length $l$ lies on a table. If the coefficient of friction is $μ$ 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

$\frac{l}{μ}$

$\frac{l}{μ + 1}$

$\frac{μ l}{1 + μ}$

$\frac{μ l}{μ - 1}$

The length of the rope which can overhang from the edge of the table without sliding down is given by $l_{1} = (\frac{μ}{1 + μ}) l$

Q. A uniform rope of length l lies on a table. If the coefficient of friction is μ then the maximum length l1​ of the part of this rope which can overhang from the edge of the table without sliding down is

μl​

μ+1l​

1+μμl​

μ−1μl​