lf all the particles of a system lie in a cube, is it necessary that the centre of mass be in the cube?

Yes

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Sometimes

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Maybe

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Solution

The correct option is A
Yes

If all particles are in a cube, then obivously the COM of all there particles should lie in the same cube. Because we know,
$x_{C O M} = \frac{\sum m i x i}{\sum m i}$
$y_{C O M} = \frac{\sum m i y i}{\sum m i}$
$z_{C O M} = \frac{\sum m i z i}{\sum m i}$

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