Question 27 of 210

A monkey of mass $50kg$ climbs on a rope which can withstand the tension $\left(T\right)$ 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 upwardB$T=350N$ while going downwardCRope will break while climbing upwardDRope will break while going downward

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Answer: (C) Rope will break while climbing upward

Let ${a}_{1}$ be the acceleration of monkey while moving down.
F.B.D of monkey while moving downward

Using Newton's second law of motion,
$mg-T=m{a}_{1}$
$∴500-T=50\times 4\Rightarrow T=300N$Let ${a}_{2}$ be the acceleration of monkey while moving up.
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 rope $=750-300=350N$
$∴$ Rope will break while monkey is moving upward.