Question

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

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

Answer 1

The correct option is D $2.5{\text{m/s}}^2$

FBD of monkey

$\Rightarrow T-mg=ma\text{Given}{T}_{max}=250$
$\Rightarrow 250-200=ma\therefore a=\frac{50}{20}=2.5{\text{m/s}}^2$