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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?

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a

The tension in the rope is 70 N.

b

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

c

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

d

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

answer is A.

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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
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