Physics-
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Question

Three blocks A,B and C of equal mass m are placed one over the other on a frictionless surface. The coefficient of friction between any blocks A,B and C is mu . The maximum value of mass of block D so that the blocks A,B and C move without slipping over each other is

  1. fraction numerator 3 m mu over denominator mu plus 1 end fraction    
  2. fraction numerator 3 m left parenthesis 1 minus mu right parenthesis over denominator mu end fraction    
  3. fraction numerator 3 m left parenthesis 1 plus mu right parenthesis over denominator mu end fraction    
  4. fraction numerator 3 m mu over denominator 1 minus mu end fraction    

The correct answer is: fraction numerator 3 m mu over denominator 1 minus mu end fraction


    Maximum acceleration of B or C can be mg so that they do not slip on A. For the system of (A+B+C)
    T= 3 ma = 3 m mg
    For D
    mg-T= Ma
    m g minus 3 mu m g equals m mu g rightwards double arrow M equals fraction numerator 3 mu m over denominator 1 minus mu end fraction

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