First slide

Connected bodies

Question

In the figure, a man of true mass M is standing on a weighing machine placed in a cabin. The cabin is joined by a string with a body of mass m. Assuming no friction, and negligible mass of cabin and weighing machine, the reading of weighing machine is

Moderate

A

Mmg /M+m
B

Mmg / M-m
C

Mg
D

mg

Solution

For the body , T = ma .............(1)
For the cabin with man ,
Mg - T = Ma .................(2)
From (1) and (2) , a = Mg / (M+m)
$∴$ Reading of the machine = Reaction of weighing machine on the man = Mg - Ma = mMg / (M+m).

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