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/s² and then climbs up with an acceleration of 5 m/s². Choose the correct option (g = 10 m/s²). (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: (c). Climbing down with acceleration a: mg - T = ma ⇒ T = m(g - a) = 50(10 - 4) = 300 N 350 N, so the rope breaks while climbing up. So the answer is (c).

A monkey of mass 50 kg climbs on a rope which can withstand the… | JEE Main 2022 (26 Jul, Shift 1)

Q11JEE Main 2022 · 26 JUL · SHIFT 1Medium

Apparent Weight & Lift

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

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Answer: (c)

Climbing down with acceleration $a$ : $mg - T = ma \Rightarrow T = m(g - a) = 50(10 - 4) = 300\text{ N} < 350\text{ N}$ , so the rope holds.
Climbing up with acceleration $a$ : $T - mg = ma \Rightarrow T = m(g + a) = 50(10 + 5) = 750\text{ N}$ .
$750\text{ N} > 350\text{ N}$ , so the rope breaks while climbing up.
So the answer is (c).

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