Q. One end of a 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 $360\ N$. with what value of minimum safe acceleration ( in $ms^{- 2}$) can a monkey of $60\ kg$ move down on the rope

A) 16
B) 6
C) 4
D) 8
Explanation

(c) 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 $i.e$. $360 \geq m(g - a) \Rightarrow 360 \geq 60(10 - a) \Rightarrow a \geq 4\ m/s^{2}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

Want more practice?
Practice Laws Of Motion MCQs