Given m A = 30 kg, m B = 10 kg, m C = 20 kg. Between A and B friction coefficient µ 1 = 0.3, between B and C friction coefficient µ 2 = 0.2 and between C and ground µ 3 = 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/s 2 )
Text Solution
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Limiting friction between A & B = 90 N
Limiting friction between B & C = 80 N
Limiting friction between C & ground = 60 N
Since limiting friction is least between C and ground, slipping will occur at first between C and ground.
This will occur when F = 60 N.
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