A man of mass 60 kg is pulling a mass M by an inextensible light rope passing through a smooth and massless pulley as shown in figure. The coefficient of friction between the man and the ground is μ=12. The maximum value of M that can be pulled by the man without slipping on the ground is approximately
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a
51 kg
b
26 kg
c
46 kg
d
32 kg
answer is D.
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Detailed Solution
T=Mg (T= tension in the rope )N=60g−Tsin60∘ (N = normal reaction between the man and the ground)and Tcos60∘=μNSolving these three equations with proper substitutions we getM=32.15kg≈32kg