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Question

Given m subscript A end subscript equals 20 k g comma m subscript B end subscript equals 10 k g comma m subscript C end subscript equals 20 k g. Between A and B mu subscript 1 end subscript equals 0.3, between B and C mu subscript 2 end subscript equals 0.3 and between C and ground mu subscript 3 end subscript equals 0.1. The least horizontal force F to start the motion of any part of the system of three blocks resting upon one another as shown in figure is (g = 10 m divided by s to the power of 2 end exponent)

  1. 60 N    
  2. 90 N    
  3. 80 N    
  4. 50 N    

The correct answer is: 50 N


    Limiting friction between A & B = 60 N Limiting friction between B & C = 90 N Limiting friction between C & ground = 50 N Since limiting friction is least between C and ground, slipping will occur at first between C and ground. This will occure when F = 50 N.

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