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COMEDK2024PhysicsRotational Motion

Let I_A and I_B be moments of inertia of a body about two axes A and B , respectively. The axis A passes through the centre of mass of the body but B does not, then .

Options

  1. AI_A I_B
  2. BI_A I_B , whether the axes are parallel or not parallel
  3. Cif the axes are parallel I_A I_B
  4. Dif the axes are not parallel I_A I_B

Correct answer

C. if the axes are parallel I_A I_B

Step-by-step solution

I_ CM is less than I about any other axis not passing through centre of mass but only when two axes are parallel. I_B=I_A+I_A r^2 where, r is the distance between parallel axes. I_A I_B

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