A monkey of mass
climbs up with an acceleration of
Explanation for the correct option:
Step 1: Given data in the question.
In the question, it is given that a monkey of mass
Step 2: Concept to be used.
The tension in an inextensible and weightless string can be given by the sum of the weight hanging from it and the force acting on it.
Step 3: Find the maximum acceleration at which the monkey can climb the rope without breaking it.
Assume that it monkey is climbing in the upward direction with the acceleration of
So, the total tension
Since, the mass of the monkey is
So,
Therefore, the maximum acceleration at which the monkey can climb the rope is
Since, In the option
Therefore, the rope will break when the monkey climbs up with an acceleration of
Hence, option