# Center of Mass in System of Particles and its Localisation

Center of Mass of any given system of

particles is considered as a point where the whole mass of all particles of system

is supposed to be concentrated for various applications of it. There are two ways

in which system of particles can be classified –

**Discrete Object System (DOS)**– System of

different particles distributed in a given region of space. In DOS we consider

all objects of system a point masses located at the geometric center of the

bodies.

**Continuous Object System (COS)**– An extended

body made up of several particles attached to each other in a continuous

fashion is taken as a Continuous Object System.

To understand the above systems please see

the below video for Introduction of Center of Mass –

Now we will understand the localization of

Center of Mass of a system but to understand the location of center of mass, we

first need to understand a physical quantity used in finding the location of

center of mass which is called – Mass Moment.

**Mass
Moment** is a vector quantity defined for a mass

which is calculated with respect to a fixed point or reference point. Magnitude

of mass moment is the product of mass of body and its position vector with

respect to the point about which we calculate the mass moment.

For a given system of particles Center of

Mass is defined as a point associated with the system about which sum of mass

moments of all the particles of the system is equal to zero. This is the mass

moment property of center of mass using which we can find the location of

center of mass of a given system of particle. To understand the same in detail,

please see the below video –