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Question: Answered & Verified by Expert
The radius of gyration of a thin uniform circular disc (of radius $R$ ) about an axis passing through its centre and lying in its plane is
PhysicsRotational MotionAIIMSAIIMS 2019 (26 May)
Options:
  • A $R$
  • B $R / \sqrt{2}$
  • C $R / 4$
  • D $R / 2$
Solution:
2644 Upvotes Verified Answer
The correct answer is: $R / 2$
Moment of inertia of the thin uniform circular disc of mass $M$ and radius $R$ about an axis passing through its centre and lying in its plane (i.e., about its diameter) is


From (i) and (ii), we get
$k^2=\frac{R^2}{4} \quad$ or $\quad k=\frac{R}{2}$

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