centre of mass of a body physics

1. Centre of Mass
The Centre of mass of a body or system of a particle is defined as a point at which the
whole of the mass of the body or all the masses of a system of a particle appear to be
concentrated.
Centre of Gravity
The centre of gravity can be taken as the point through which the force of gravity acts
on an object or system.

2. Centre of Mass
Two particle system
Let us consider a system consisting of two particles of masses and their position vectors
Position of centre of mass unaffected in the absence of external force.

3. Centre of Mass

4. Centre of Mass
Motion of Centre of mass

5. Centre of Mass

6. Centre of Mass
Momentum conservation and centre of mass motion

7. Centre of Mass
Centre of mass of rigid body and uniform rod
A uniform rod's centre of mass is located at its midpoint.

8. Centre of Mass
S.No Shape of body Position of center of mass
1. Uniform rod Centre of rod
2. Plane rectangular or square lamina Point of intersection of diagonals
3. Plane triangular lamina Point of intersection of the medians of the triangles
4. Uniform circular ring Centre of ring
5. Uniform circular disc Centre of disc
6. Uniform solid sphere Centre of the solid sphere
7. Uniform hollow sphere Centre of the hollow sphere
8. Uniform hollow cylinder Mid point of the axis of the hollow cylinder
9. Uniform solid cylinder Mid point of the axis of the solid cylinder
10. Rectangular or cubical block Point of intersection of diagonals
11. Pyramid or cone On the line joining the centre of the base
to the apex. It is at a distance of '3h/4' from the vertex where 'h' is the height of the cone.