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 maximum safe acceleration (in $m{s}^{-2})$ can a man of $60kg$ climb on the rope?

• A. $16$
• B. $6$
• C. $4$
• D. None of these

Answer 1

The correct option is C $4$

If monkey move downward with acceleration a then its apparent weight decreases$.$

in that condition tension in string $=m(g-a)$ this should not be exceed over breaking strength of the rope

$i.e.,$ $360\ge m\left(g-a\right)$

$360\ge 60\left(10-a\right)$

$a\ge 4m/s^2$

Hence,

option $\left(C\right)$ is correct answer.