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

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Mmg / M-m

Mmg /M+m

answer is A.

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Detailed 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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