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Question

The instantaneous velocity of a point B of the given rod of length 0.5 m is 3 m s to the power of negative 1 end exponent in the represented direction. The angular velocity of the rod for minimum velocity of end A is

  1. 1.5 r a d s to the power of negative 1 end exponent    
  2. 5.2 r a d s to the power of negative 1 end exponent    
  3. 2.5 r a d s to the power of negative 1 end exponent    
  4. None of these    

The correct answer is: 5.2 r a d s to the power of negative 1 end exponent


    If rod is rotated about end A, then vertical component of velocity v subscript perpendicular end subscript of end A will be zero.
    therefore omega equals fraction numerator v cos invisible function application 60 degree over denominator l end fraction equals fraction numerator square root of 3 v over denominator 2 l end fraction
    equals fraction numerator square root of 3 cross times 3 over denominator 2 cross times 0.5 end fraction equals 5.2 blank r a d s to the power of negative 1 end exponent

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