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

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SUMMARY

The center of mass (CM) of a system of particles remains invariant regardless of whether the particles are interacting or non-interacting. This invariance holds true across different inertial and non-inertial reference frames, as long as the same system of particles is considered. The position of the CM does not change with the type of interaction or the reference frame used, confirming its fundamental property in classical mechanics.

PREREQUISITES
  • Understanding of classical mechanics principles
  • Familiarity with the concept of center of mass
  • Knowledge of inertial and non-inertial reference frames
  • Basic grasp of particle interactions
NEXT STEPS
  • Study the mathematical derivation of center of mass for various systems
  • Explore the implications of CM invariance in non-inertial reference frames
  • Investigate particle interaction types and their effects on system dynamics
  • Learn about conservation laws related to center of mass in physics
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Students of physics, educators teaching classical mechanics, and anyone interested in the foundational concepts of motion and reference frames.

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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?

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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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