Q 11-04-146JEE MainJEE Main 2022 (26 Jul, Shift 1)Easy
A monkey of mass $50\ \text{kg}$ climbs on a rope which can withstand a tension $(T)$ of $350\ \text{N}$. If the monkey initially climbs down with an acceleration of $4\ \text{m s}^{-2}$ and then climbs up with an acceleration of $5\ \text{m s}^{-2}$, choose the correct option. ($g = 10\ \text{m s}^{-2}$)
Answer: (C) Rope will break while climbing upward
Going down: $T = m(g - a) = 50\times6 = 300\ \text{N} < 350\ \text{N}$, safe.
Going up: $T = m(g + a) = 50\times15 = 750\ \text{N} > 350\ \text{N}$, so the rope breaks while climbing upward.
Solution by Sreeraj P, M.Sc Physics