Center of Mass of a Multi Particle System

With the use of mass moment property of center of mass, we can also locate the center of mass of a multiple particle system in a region of space. If we are given with some particles having masses m1, m2, m3…. Located at points (x1,y1,z1), (x2,y2,z2), (x3,y3,z3)…. Then we can assume that the center of mass of such a system of particles is located at position C with coordinates (xc,yc,zc) so we can calculate the position vectors of all masses with respect to the point C and make sum of all equal to zero.

This will give us the position vector of the point C which is the

center of mass of the system of particles.

To understand the logic of the above analysis properly, please see the below video –

Using the concept we studied for calculation of center of mass position vector as well as the position

coordinates, we can solve variety of problems based on different physical situations.

To understand the application of this concept, pl see the examples in below videos –