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Question

A man of mass 50 kg stands on a frame of mass 30 kg. He pulls on a light rope which passes over a pulley. The other end of the rope is attached to the frame. For the system to be in equilibrium, what force must the man exert on the rope? (Take g=10 m/s2)


A
400 N
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B
800 N
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C
300 N
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D
500 N
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Solution

The correct option is A 400 N
Force exerted by man on rope transfers to it in the form of tension.


Net upwards force on the system is 2T or 2F.
Net downward force is (50+30)g = 80 g.
For equilibrium of system, 2F=80 g
or F=40 g=400 N

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