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General
Easy

Question

A thin rod of mass M and length L is struck at one end by a ball of clay of mass m, moving with speed v as shown in figure. The ball sticks to the rod. After the collision, the angular momentum of the clay-rod system about A, the midpoint of the rod, is

  1. open parentheses m plus fraction numerator M over denominator 3 end fraction close parentheses open parentheses fraction numerator v L over denominator 2 end fraction close parentheses    
  2. open parentheses m plus fraction numerator M over denominator 12 end fraction close parentheses open parentheses fraction numerator v L over denominator 2 end fraction close parentheses    
  3. fraction numerator m v L over denominator 2 end fraction    
  4. mvL    

The correct answer is: open parentheses m plus fraction numerator M over denominator 3 end fraction close parentheses open parentheses fraction numerator v L over denominator 2 end fraction close parentheses

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