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AP EAMCET2012PhysicsRotational Motion

Two solid spheres A and B each of radius R are made of materials of densities _A and _B respectively. Their moments of inertia about a diameter are I_A and I_B respectively. The value of I_A I_B is

Options

  1. A_A _B
  2. B_B _A
  3. C_A _B
  4. D_B _A

Correct answer

C. _A _B

Step-by-step solution

Moment of inertia aligned I & = 2 3 M R^2 I_A I_B & = 2 5 M_A R^2 2 5 M_B R^2 = 4 3 R^3 _A 4 3 R^3 _B = _A _B aligned

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