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Question

A disc is rolling (without slipping) on a horizontal surface C is its centre and Q and P are two points equidistant from C. Let v subscript P end subscript, v subscript Q end subscript and v subscript C end subscript be the magnitude of velocities of pints P comma blank Q and C respectively, then

  1. v subscript Q end subscript greater than v subscript C end subscript greater than v subscript P end subscript    
  2. v subscript Q end subscript less than v subscript C end subscript less than v subscript P end subscript    
  3. v subscript Q end subscript equals v subscript P end subscript,v subscript C end subscript equals fraction numerator 1 over denominator 2 end fraction v subscript P end subscript    
  4. v subscript Q end subscript less than v subscript C end subscript greater than v subscript P end subscript    

The correct answer is: v subscript Q end subscript greater than v subscript C end subscript greater than v subscript P end subscript


    In case of pure rolling bottommost point is the instantaneous centre of zero velocity.

    Velocity of any point on the disc, v equals r omega,
    where r is distance of point from O.
    r subscript Q end subscript greater than r subscript C end subscript greater than r subscript P end subscript
    therefore v subscript Q end subscript greater than v subscript C end subscript greater than v subscript P end subscript

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