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Question

A circular plate of radius 1/2R is cut from one edge of a thin circular plate of radius R. The moment of inertia of the remaining portion about an axis through O perpendicular to plane of the plate (i.e about the z axis right parenthesis is ( M= mass of remaining circular plate. )

  1. fraction numerator 13 over denominator 24 end fraction M R to the power of 2 end exponent    
  2. fraction numerator 7 over denominator 12 end fraction M R to the power of 2 end exponent    
  3. fraction numerator 13 over denominator 32 end fraction M R to the power of 2 end exponent    
  4. fraction numerator 5 over denominator 7 end fraction M R to the power of 2 end exponent    

The correct answer is: fraction numerator 13 over denominator 24 end fraction M R to the power of 2 end exponent

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