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A body of mass while falling vertically downwards under gravity breaks into two parts; a body of mass and a body of mass . The centre of mass of bodies and taken together shifts compared to that of a body towards
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does not shift
The centre of mass of the two parts and of the body will not shift. It is because, after breaking into two parts, no external force acts on the system. It still moves under the effect of gravity. Hence, the centre of mass of the two parts and will follow the original path.
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