Question

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

Answer 1

Explanation:

• Of course, if all the particles of a system lie in a cube, it is necessary that the centre of mass be in the same cube.
• A cube is a three dimensional body unlike an X-Y plane which is a two dimensional body.
• So, any line joining the centre of mass of all the particles lying inside the cube will also lie inside the same cube and the total mass of all the particles lie at a line joining the all the particles.
• In addition, the above case is applicable only when the cube is uniform.