Question

A monkey of mass $50kg$ climbs on a rope which can withstand the tension $(T)$ of $350N$. If monkey initially climbs down with an acceleration of $4m/s^2$ and then climbs up with an acceleration of $5m/s^2$. Choose the correct option $\left(g=10m/s^2\right)$

• A. $T=700N$ while climbing upward
• B. $T=350N$ while going downward
• C. Rope will break while climbing upward
• D. Rope will break while going downward

Answer 1

Answer: (C)

F.B.D of monkey while moving downward

Using Newton's second law
$mg-T=m{a}_1$
$\therefore 500-T=50\times 4\Rightarrow T=300N$
F.B.D of monkey while moving up

Using Newton's second law of motion
$T-mg=m{a}_2$
$\Rightarrow T-500=50\times 5$
$\Rightarrow T=750N$
Breaking strength of string $=350N$
$\therefore$ String will break while monkey is moving upward