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AP EAMCET20228 Jul 2022Morning ShiftPhysicsRotational MotionActual

The moment of inertia of a thin uniform rectangular plate of mass ' m ', having length ' a ' and width ' b ' about an axis perpendicular to the plane of the plate and passing through one of its vertices is

Options

  1. A2 3 mab
  2. B1 3 mab
  3. C2 3 ~m ( a ^2+ b ^2 )
  4. D1 3 m (a^2+b^2 )

Correct answer

D. 1 3 m (a^2+b^2 )

Step-by-step solution

By parallel axes theorem. aligned & I = I _ cm + md ^2 & = m 12 ( a ^2+ b ^2 )+ m ( a ^2+ b ^2 4 ) & = 1 3 ~m ( a ^2+ b ^2 ) aligned

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