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Q.

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−Tsin⁡60∘    (N = normal reaction between the man and the ground)and Tcos⁡60∘=μNSolving these three equations with proper substitutions we getM=32.15kg≈32kg
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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