Question

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

• A. $T =700 \,N$ while climbing upward
• B. $T =350\, N$ 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 = ma _1 $
$\therefore 500- T =50 \times 4 \Rightarrow T =300\, N$
F.B.D of monkey while moving up

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