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General
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Question

A uniform bar of length 6a and mass 8m lies on a smooth horizontal table. Two point masses m and 2m moving in the same horizontal plane with speed 2v and v respectively, strike the bar (as shown in the fig.) and stick to the bar after collision. Denoting angular velocity (about the centre of mass), total energy and centre of mass velocity by omega, E and V subscript C end subscript respectively, we have after collision:

  1. v subscript C end subscript equals 0    
  2. omega equals fraction numerator 3 v over denominator 5 a end fraction    
  3. omega equals fraction numerator v over denominator 5 a end fraction    
  4. E equals 3 fraction numerator m v to the power of 2 end exponent over denominator 5 end fraction    

The correct answer is: v subscript C end subscript equals 0

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