First slide

Motion of centre of mass

Question

A body A of mass M while falling vertically downwards under gravity breaks into two parts: a body B of mass $\frac{1}{3} M$ and body C of mass $\frac{2}{3}$ M. The centre of mass of bodies B and C taken together shifts compared to that of body A towards:

Easy

A

body C
B

body B
C

depends on height of breaking
D

does not shift

Solution

No external horizontal force is applied, so $a_{cm} = 0$ 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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