Question

The maximum tension a rope can withstand is $60\, kg-wt.$ The ratio of maximum acceleration with which two boys of masses $20 \,kg$ and $30 \,kg$ can climb up the rope at the same time is

• A. 1:02
• B. 2:01
• C. 4:03
• D. 3:02

Answer 1

The Correct Option is D

$60 \,kg - wt =20\left(g+a_{1}\right)+30\left(g+a_{2}\right)$ $=20\, kg - wt +30\, kg - wt +20 \,a_{1}+30\,a_{2}$ $\Rightarrow 20 \,a_{1}+30\, a_{2}=10\, kg - wt$ $\Rightarrow 2 \,a_{1}+3\, a_{2}=1$ $a_{1}=\frac{1}{4} g , a_{2}=\frac{1}{6} g$ $a_{1}: a_{2}=6: 4=3: 2$