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KCET2010PhysicsRotational Motion

The moment of inertia of a circular disc of radius 2 ~m and mass 1 ~kg about an axis passing through the centre of mass but perpendicular to the plane of the disc is 2 ~kg ~m ² . Its moment of inertia about an axis parallel to this axis but passing through the edge of the disc is (see the given figure).

Options

  1. A8 ~kg ~m ²
  2. B4 ~kg ~m ²
  3. C10 ~kg ~m ²
  4. D6 ~kg ~m ²

Correct answer

D. 6 ~kg ~m ²

Step-by-step solution

According to parallel axis theorem aligned I _ X^ Y^ &=I_ X Y +M² &=2+(1)(2)² &=6 ~kg - m ² aligned

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