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A semi-circular plate of radius R has density rho equals rho subscript 0 end subscript r, where r is the distance from centre. The position of centre of mass from 0 is

  1. fraction numerator 3 R over denominator 2 pi end fraction    
  2. fraction numerator 2 R over denominator pi end fraction    
  3. fraction numerator 4 R over denominator 3 pi end fraction    
  4. fraction numerator R over denominator pi end fraction    

The correct answer is: fraction numerator 3 R over denominator 2 pi end fraction

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