Give the location of the centre of mass of a (i) sphere, (ii) cylinder, (iii) ring, and (iv) cube, each of uniform mass density. Does the centre of mass of a body necessarily lie inside the body?

Question

Philoid · Accepted Answer

Centre of mass: It is defined as a point t which whole the mass of the body is concentrated.

For Sphere, Cylinder, Ring and Cube each of uniform mass density they all have their centre of masses at their geometric centres.

Fig. A ring with centre of mass (CM) at O

There is no need to be Centre of mass always lies inside the body. It may also lies outside the body. For example, In Ring Centre of mass lies outside the body (in space).