Q 11-04-016NEETJEE MainEAMCET 2011 (Engineering)Medium
The maximum tension a rope can withstand is $60$ kg-wt. The ratio of the maximum accelerations with which two boys of masses $20$ kg and $30$ kg can climb up the rope at the same time is ($g = 10\ \text{m/s}^2$)
Answer: (C) $2 : 1$
Concept. Climbing: $T - mg = ma$ with $T_{\max} = 600$ N.
Step 1. 20 kg. $a_1 = \dfrac{600 - 200}{20} = 20\ \text{m/s}^2$.
Step 2. 30 kg. $a_2 = \dfrac{600 - 300}{30} = 10\ \text{m/s}^2$.
Step 3. Ratio. $2 : 1$.
Answer. $2 : 1$ (Option C).
Solution by Sreeraj P, M.Sc Physics