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Three identical rods each of length L and mass m are joined to form a U-shape as shown in figure. The distance of centre of mass of the combined system from the corner ' O ' is

  1. fraction numerator L over denominator 2 end fraction    
  2. fraction numerator L over denominator 3 end fraction    
  3. fraction numerator square root of 8 text end text L over denominator 6 end fraction    
  4. fraction numerator square root of 13 text end text L over denominator 6 end fraction    

The correct answer is: fraction numerator square root of 13 text end text L over denominator 6 end fraction

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