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Question: Answered & Verified by Expert
A solid cylinder of mass m and radius R rolls down an inclined plane of height 30 m without slipping. The speed of its centre of mass when the cylinder reaches the bottom is [use g=10 m s-2]
PhysicsRotational MotionTS EAMCETTS EAMCET 2022 (18 Jul Shift 2)
Options:
  • A 10 m s-1
  • B 20 m s-1
  • C 30 m s-1
  • D 40 m s-1
Solution:
1718 Upvotes Verified Answer
The correct answer is: 20 m s-1

Work done by friction during pure rolling is zero therefore, we can apply conservation of mechanical energy.

In pure rolling ω=vR

For a body having rotational and translational kinetic energy,

12mv2+12Iω2=mgh12mv2+12mR22vR2=mghv=4gh3=4×10×303=20 m s-1

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