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MHT CET202312 May 2023Morning ShiftPhysicsRotational MotionActual

I ₁ is the moment of inertia of a circular disc about an axis passing through its centre and perpendicular to the plane of disc. I₂ is its moment of inertia about an axis AB perpendicular to plane and parallel to axis CM at a distance 2 R 3 from centre. The ratio of I₂ and I₁ is x= 9 . The value of ' x ' is ( R = radius of the disc)

Options

  1. A9
  2. B12
  3. C15
  4. D17

Correct answer

D. 17

Step-by-step solution

Using Parallel axis theorem, I ₂= I ₁+ Mh ^2 For a disc, I ₁= 1 2 MR ^2 and given that, h = 2 R 3 aligned I₂ & =I₁+M h^2 I₂ & = 1 2 M R^2+M ( 2 R 3 )^2 I₂ & = 17 M R^2 18 I₂: I₁ & = 17 M R^2 18 : 1 2 M R^2 I₂: I₁ & =17: 9 aligned On comparing x=17

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