Time Dilation - Angular Momentum - Mass

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SUMMARY

Angular momentum is a conserved quantity, meaning its total value remains constant within a given reference frame over time. The discussion clarifies the distinction between "conserved" and "invariant," emphasizing that while angular momentum is conserved, it is not invariant across different reference frames. The relationship between apparent spin rate and mass increase at relative velocities is explored, confirming that these factors do not alter the conservation of angular momentum.

PREREQUISITES
  • Understanding of angular momentum in classical mechanics
  • Familiarity with the concepts of conservation and invariance in physics
  • Knowledge of reference frames in relativistic physics
  • Basic grasp of linear momentum and its conservation laws
NEXT STEPS
  • Study the principles of angular momentum conservation in detail
  • Explore the differences between conserved and invariant quantities in physics
  • Investigate the effects of relative velocity on mass and momentum
  • Learn about reference frames in special relativity and their implications
USEFUL FOR

Physics students, educators, and anyone interested in the principles of angular momentum and relativistic effects in mechanics.

kmarinas86
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Angular momentum must be conserved. Does that mean that if a particle travels at relative velocity to an observer that the decrease in apparent spin rate will be offset by the increase in mass causing the angular momentum to be constant?
 
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kmarinas86 said:
Angular momentum must be conserved. Does that mean that if a particle travels at relative velocity to an observer that the decrease in apparent spin rate will be offset by the increase in mass causing the angular momentum to be constant?

I think you're confusing the words "conserved" and "invariant". When a quantity is conserved, it maintains the same value at different times in the same reference frame. When a quantity is invariant, it has the same value when measured from different reference frames. Angular momentum is conserved but I don't think it's necessarily invariant. Certainly linear momentum is not invariant, although it is conserved.
 

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