Question

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

• A. yes
• B. No
• C. some times
• D. may be

Answer 1

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,
$x_{COM}=\frac{\sum mixi}{\sum mi}$
$y_{COM}=\frac{\sum miyi}{\sum mi}$
$z_{COM}=\frac{\sum mizi}{\sum mi}$