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A mechanism consists of a part which is translated with a velocity u and a rod AB of length L and mass M hinged at A. The rod rotates about axis A with angular velocity omega. The kinetic energy of rod when it is vertical as shown is

  1. fraction numerator 1 over denominator 2 end fraction M u to the power of 2 end exponent plus fraction numerator 1 over denominator 6 end fraction M L to the power of 2 end exponent omega to the power of 2 end exponent    
  2. fraction numerator 1 over denominator 2 end fraction M u to the power of 2 end exponent plus fraction numerator 1 over denominator 6 end fraction M L omega u    
  3. fraction numerator 1 over denominator 2 end fraction M u to the power of 2 end exponent plus fraction numerator 1 over denominator 6 end fraction M L to the power of 2 end exponent omega to the power of 2 end exponent plus fraction numerator 1 over denominator 2 end fraction M L omega u    
  4. None of these    

The correct answer is: fraction numerator 1 over denominator 2 end fraction M u to the power of 2 end exponent plus fraction numerator 1 over denominator 6 end fraction M L omega u

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