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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+T32=60g ... (2)
T2=μN ... (3)
From (2) & (3)
T2=μ[60gT32]
T2+3T4=30g
T[2+3]=120g
T=120g(2+3) N
M=120(2+3) kg

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