Question

A monkey of mass $20\, kg$ is holding a vertical rope. The rope will not break when a mass of $25\, kg$ is suspended from it but will break if the mass exceeds $25\, kg.$ What is the maximum acceleration with which the monkey can climb up along the rope ? $(g = 10\, m/s^2)$

• A. $5\, m/s^2$
• B. $10\, m/s^2$
• C. $25\, m/s^2$
• D. $2.5 \,m/s^2$

Answer 1

Answer: (D)

Let $T$ be the tension in the rope when monkey climbs up with an acceleration $a$. Then,
$T-m g=m a$
$25 g-20 g=20 a $
$\Rightarrow a=\frac{5 \times 10}{20}=2.5 \,m / s ^{2} $