Question

# 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. μ between the ground and the man is 0.5. Find the maximum value of M that can be pulled slowly by the man without slipping on the ground.

A
1204+3 kg
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B
2402+3 kg
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C
1201+3 kg
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D
1202+3 kg
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Solution

## The correct option is D 1202+√3 kg(a) For suspended mass M T=Mg ... (1) (b) For man N+T√32=60g ... (2) T2=μN ... (3) From (2) & (3) T2=μ[60g−T√32] ⇒T2+√3T4=30g ⇒T[2+√3]=120g ⇒T=120g(2+√3) N ⇒M=120(2+√3) kg

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