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Displacement of COM:Application

A man hangs f...

Question

A man hangs from a rope attached to a hot-air balloon. The mass of the man is greater than the mass of the balloon and its contents. The system is stationary in air. If the man now climbs up to the balloon using the rope, the centre of mass of the 'man plus balloon system wiii

A

remain stationary

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B

move up

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C

move down

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D

first move up and then return to its initial position

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Solution

The correct option is A remain stationary
The motion of centre of mass of the body depends only on external forces.
As the COM of the system remains stationary initially, thus it will also remain stationary when the man climbs up.
Physically: when the man climbs up, then the balloon will get lowered down such that their COM remains at rest.

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