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General
Easy

Question

A uniform rod of mass m, length l is placed over a smooth horizontal surface along y-axis and is at rest as shown in figure. An impulsive force F is applied for a small time capital delta t along at point A. The x-coordinate of end A of the rod when the rod becomes parallel to x-axis for the first time is (initially the coordinate of centre of mass of the rod is (0,0)) :

  1. fraction numerator pi l over denominator 12 end fraction    
  2. fraction numerator l over denominator 2 end fraction open parentheses 1 minus fraction numerator pi over denominator 6 end fraction close parentheses    
  3. fraction numerator 1 over denominator 2 end fraction open parentheses 1 plus fraction numerator pi over denominator 12 end fraction close parentheses    
  4. fraction numerator l over denominator 2 end fraction open parentheses 1 plus fraction numerator pi over denominator 6 end fraction close parentheses    

The correct answer is: fraction numerator l over denominator 2 end fraction open parentheses 1 plus fraction numerator pi over denominator 6 end fraction close parentheses

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