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Question

Figure shows a platform on which a man of mass M is standing and holding a string passing over a system of ideal pulleys. Another mass m is hanging as shown in figure. Consider the entire system to be in equilibrium. Take M=5m, find the force exerted by the platform on man.


A
mg
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B
2mg
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C
3mg
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D
4mg
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Solution

The correct option is A mg

If tension in string which the man is holding is T, the tension in the string to which the mass m is connected is T4 which must balance mg. Thus we have
T=4mg = force exerted by man on string.
If the force, which platform is exerting on man is N, for equilibrium of man we must have
N + T = Mg (M=5m)
or N = Mg - 4 mg = 5mg - 4mg = mg

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