First slide

Mechanical equilibrium force cases

Question

A man of mass 60 kg is standing on a massless plank and holding a string passing over a system of ideal pulleys. A mass of 20 kg hanging over a light pulley such that the system is in equilibrium. The force exerted by the plank on the man is (g=acceleration due to gravity).

Moderate

A

20 g
B

40 g
C

45 g
D

60 g

Solution

For the man 2T+R = 60g .............(1)
For the 20 kg mass ,
T = 20 g ....................(2)
R = 60 g - 2X 20 g = 20 g

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