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Question

A body falling vertically downwards under gravity breaks in two parts of unequal masses. The centre of mass of the two parts taken together shifts horizontally towards

A
heavier piece
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B
lighter piece
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C
does not shift horizontally
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D
depends on the vertical velocity at the time of breaking
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Solution

The correct option is C does not shift horizontally
Since the velocity is in the downwards direction the motion of the COM will also be in that particular direction.
As the horizontal component of force is zero so COM will not move horizontally.

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