wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A monkey of mass 40 kg climbs on a rope. The rope can stand a maximum tension of 600 N. In which of the following cases will the rope break:


A

climbs up with an acceleration of 6 ms-2

loader
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

climbs down with an acceleration of 4 ms-2

loader
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

climbs up with a uniform speed of 5 ms-1

loader
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

falls down the rope nearly freely under gravity

loader
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

climbs up with an acceleration of 6 ms-2


Explanation for the correct option:

Step 1: Given data in the question.

In the question, it is given that a monkey of mass 40 kg climbs on a rope and the rope can stand a maximum tension of 600 N.

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 a ms-2.

So, the total tension T on the rope is given as:

T=mg+ma where mis the mass of the monkey.

Since, the mass of the monkey is 40 kg and the maximum tension rope can handle is 600 N.

So,

600=40×10+40a600=400+40a200=40a a=5

Therefore, the maximum acceleration at which the monkey can climb the rope is 5 ms-2.

Since, In the option A it is given that the monkey climbs up with an acceleration of 6 ms-2 which is greater than the maximum allowed acceleration.

Therefore, the rope will break when the monkey climbs up with an acceleration of 6 ms-2 .

Hence, option A is the correct answer.


flag
Suggest Corrections
thumbs-up
5
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Circular Permutations
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon
footer-image