Question

One end of massless rope, which passes over a massless and frictionless pulley $P$ is tied to a hook $C$ while the other end is free. Maximum tension that the rope can bear is $360N$ with what value of minimum safe acceleration (in $m{s}^{-2}$) can a monkey of $60kg$ move down on the rope

Answer 1

We have,

If the weight moves downward with acceleration then its apparent weight decreases.

We have,

tension is $360$N

The mass of monkey is $60$kg

In that condition,

The tension in the string $=m(g-a)$

Here g is acceleration due to gravity.

This should not be exceeded over breaking strength of the rope,

$360\ge m(g-a)$

$360\ge 60(10-a)$

$a\ge 4m{s}^{-2}$