The figure shows, a man of mass 60 kg standing on a light weighing machine kept in a box of mass 30 kg. The box is hanging from a pulley fixed to the ceiling through a light rope, the other end of which is held by the man himself. If the man manages to keep the box at rest, what is the weight shown by the machine?

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Solution

Mass of men $= 60 k g$
Mass of box $= 30 k g$
Let $R$ be the apparent height of men displayed on machine.
so,
$R + T - 60 g = 0$ [from FBD of man]
$T - R - 30 g = 0$ [from FBD of box]
comparing both,
$R = 15 g$
i.e wright shown an machine is $15 k g$ .

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