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

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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.
 
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