Question

what is the important
of Centre of mass of System of particle​

Answer 1

Answer:

When force is applied to the centre of mass, the object as a system of particles moves in the direction of force without rotating. No matter what the shape of the object, the centre of mass helps understand the mechanism of force and motion of that object.

Answer 2

The importance of the centre of mass of a system of particles:

• It is helpful as a result of it untangles the dynamics.
• we can specify the motion of the ensemble as a full moving through the house and then specify the relative motions.
• For the ensemble as a full, it's solely acted on my external forces, if any.
• For instance, for a gravitating system just like the Earth and Moon, each is acted on by the Sun.
• We can solve for the motion of the combined Earth and Moon (getting a combined elliptical orbit with minor corrections).
• Then we can move in the planet-Moon centre of the mass frame and solve for the “peculiar”* motion of the Earth and Moon. This makes it easier to resolve.