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Question

A man of mass m is suspended in the air by holding the rope of a stationary balloon of mass M. As the man starts climbing up the rope, the balloon will

A
Move upward
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B
Move downward
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C
Remain stationary
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D
Cannot say
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Solution

The correct option is B Move downward
Initially man and balloon are stationary. Net external force is zero and centre of mass of the system is initially at rest.

Even when man starts moving up, the net external force will remain zero.
Position of centre of mass will not change. So to have Xcm = constant the balloon will move downwards.

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