Q.

A bucket of water of mass 21 kg is suspended by a rope wrapped around a solid cylinder 0.2 m in diameter. The mass of the solid cylinder is 21 kg. The bucket is released from rest. Which of the following statements are correct?

Moderate

Unlock the Full Solution and Master the Concept

Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept

By Expert Faculty of Sri Chaitanya

The tension in the rope is 70 N.

The acceleration of the bucket is (20/3)m/s2

The acceleration of the bucket is independent of the mass of the bucket.

The acceleration of the bucket is (10/3)m/s2

answer is 1,2,3.

(Detailed Solution Below)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

210−T=21a …(i)Again, τ=IαTR=IaRT=IaR2=12×21×R2×aR2=12×21a21a=2TFrom Eq. (i), 210−T=2Tor 3T=210or T=70NAgain from Eq. (i), 210−70=21aa=14021ms−2=203ms−2

Choose your Grade and Exam

Connect with our

Expert Counsellors

access to India's best teachers with a record of producing top rankers year on year.

+91

We will send a verification code via OTP.