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Question

A man of mass M is standing on a plank kept in a box. The plank and box as a whole has mass m. A light string passing over a fixed smooth pulley connects the man and box. If the box remains stationary, find the tension in the string and the force exerted by the man on the plank.


A

(m+M)g2, (Mm)g2

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B

(m+M)g, (Mm)g2

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C

(m+M)g2, (Mm)g

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D

(m+M)g, (Mm)g

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Solution

The correct option is A

(m+M)g2, (Mm)g2


Let the tension in the string be T and force exerted by the man on plank be N.
For the (m+M) system, net external force is 2T(m+M)g.
For equilibrium, 2T(m+M)g=0T=(m+M)g2
Now, for the man, Mg=T+N
Solving we get, N=(Mm)g2


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