Does the Center of Mass Change with Interaction Type or Reference Frame?

[neelakash]

Homework Statement

Does the CM of a system of particles depend on whether the particles are interacting or non-interacting?Will the positon of CM change in another inertial or non-inertial frame?

Homework Equations

The Attempt at a Solution

My attempts:Please check.
CM is invariant -no matter whether the particles are interacting or non-interacting-whether ther is a relative motion or not within the system as long as we are dealing with the same system of particles.

CM of a system of particles can be shown to be invariant w.r.t. any origin of an arbitrary reference frame.So,it must be the same even in an inertaial or non-inertial frame of reference.

 

[chaoseverlasting]

Yeah. Thats right. Think so.

 

[m2003]

In other words, the position of the CM will not change in another inertial or non-inertial frame, as long as we are dealing with the same system of particles. This is because the CM is defined as the average position of all the particles in the system, and this average will not change based on the type of frame of reference used. Therefore, the CM is a universal concept that remains constant regardless of the type of interactions or frame of reference being used.