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Q.

A body A of mass M while falling vertically downwards under gravity breaks into two parts: a body B of mass 13M and body C of mass 23M. The centre of mass of bodies B and C taken together shifts compared to that of body A towards:

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a

body C

b

body B

c

depends on height of breaking

d

does not shift

answer is D.

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Detailed Solution

No external horizontal force is applied, so acm = 0 in horizontal direction. Also there is no velocity in horizontal direction, so centre of mass does not shift compared to that of A.
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A body A of mass M while falling vertically downwards under gravity breaks into two parts: a body B of mass 13M and body C of mass 23M. The centre of mass of bodies B and C taken together shifts compared to that of body A towards: