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Question: Given m<sub>A</sub> = 20 kg., m<sub>B</sub> = 10 kg, m<sub>C</sub> = 20 kg, between B and C µ<sub>2<...

Given mA = 20 kg., mB = 10 kg, mC = 20 kg, between B and C µ2 = 0.3 and between C and ground µ3 = 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/s2) –

A

60 N

B

90 N

C

80 N

D

50 N

Answer

50 N

Explanation

Solution

Limiting friction between A and B = 60 N

Limiting friction between B and C = 90 N

Limiting friction between C and ground = 50 N

Since limiting friction is least between C and ground, slipping will occur at first between C and ground. This will occur when F = 50 N