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Question: Answered & Verified by Expert
A solid sphere and a solid cylinder of same mass and radius are rolling on a horizontal surface without slipping. The ratio of their radius of gyrations respectively ksph:kcyl is 2:x. The value of x is _______.
PhysicsRotational MotionJEE MainJEE Main 2023 (15 Apr Shift 1)
Solution:
2407 Upvotes Verified Answer
The correct answer is: 5

Considering rotational axis as the diametrical axis for sphere and axis of cylinder. Then

K12=25R2 and K22=12R2

 K1K2=2/51/2=45

K1K2=25

Comparing it with the given value in the question,

25=2x

 x=5

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