A monkey of mass 20 kg is holding a vertical rope. The rope will not break when a mass of 25 kg is suspended from it but will break if the mass exceeds 25 kg. What is the maximum acceleration with which the monkey can climb up along the rope ? (g = 10 m/s2)

Question

A monkey of mass 20 kg is holding a vertical rope. The rope will not break when a mass of 25 kg is suspended from it but will break if the mass exceeds 25 kg. What is the maximum acceleration with which the monkey can climb up along the rope ? (g = 10 m/s2) (A) 5 m/s2 (B) 10 m/s2 (C) 25 m/s2 (D) 2.5 m/s2

Tardigrade Admin · Accepted Answer

Let T be the tension in the rope when monkey climbs up with an acceleration a. Then, T-m g=m a 25 g-20 g=20 a ⇒ a=(5 × 10/20)=2.5 m / s 2

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

$5 m / s^{2}$

$10 m / s^{2}$

$25 m / s^{2}$

$2.5 m / s^{2}$

Let $T$ be the tension in the rope when monkey climbs up with an acceleration $a$ . Then,
$T - m g = ma$
$25 g - 20 g = 20 a$
$\Rightarrow a = \frac{5 \times 10}{20} = 2.5 m / s^{2}$

Q. A monkey of mass 20kg is holding a vertical rope. The rope will not break when a mass of 25kg is suspended from it but will break if the mass exceeds 25kg. What is the maximum acceleration with which the monkey can climb up along the rope ? (g=10m/s2)

5m/s2

10m/s2

25m/s2

2.5m/s2