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MHT CET 2024 (4 May, Shift 1) · Moment of Inertia & Radius of Gyration

Moment of Inertia & Radius of Gyration question from MHT CET 2024 (4 May, Shift 1)

Q77MHT CET 2024 · 4 MAY · SHIFT 1Medium

Moment of Inertia & Radius of Gyration

A disc and a ring both have same mass and radius. The ratio of moment of inertia of the disc about its diameter to that of a ring about a tangent in its plane is

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Answer: (c)

  1. Disc about diameter: 14MR2\frac{1}{4}MR^2.
  2. Ring about tangent in its plane: 12MR2+MR2=32MR2\frac{1}{2}MR^2 + MR^2 = \frac{3}{2}MR^2.
  3. Ratio =1/43/2=16= \frac{1/4}{3/2} = \frac{1}{6}
  4. So the answer is (c) 1:61 : 6.
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