Conservation of spin, energy and momentum

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SUMMARY

The discussion centers on the conservation of spin, energy, and momentum in an isolated system, specifically using the example of a merry-go-round (MGR). It is established that angular momentum is conserved when no external net torque acts on the system, while linear momentum is not conserved due to external forces acting on the MGR. The participants clarify that energy is not conserved in inelastic collisions, as mechanical energy is transformed into heat and deformation. The conversation concludes with an understanding that linear and angular momentum are conserved independently, and they cannot be converted into one another.

PREREQUISITES
  • Understanding of angular momentum and its conservation laws
  • Knowledge of linear momentum and the conditions for its conservation
  • Familiarity with inelastic collisions and energy transformation
  • Basic principles of rotational dynamics and torque
NEXT STEPS
  • Study the principles of conservation of angular momentum in various systems
  • Explore inelastic collisions and their effects on mechanical energy
  • Learn about the role of torque in rotational motion and its impact on momentum conservation
  • Investigate experiments demonstrating the conversion of linear momentum to angular momentum
USEFUL FOR

Physics students, educators, and anyone interested in understanding the principles of momentum conservation and energy transformation in mechanical systems.

  • #31
Doc Al said:
OK. That's certainly possible for an elastic collision. It's not the scenario we've been discussing, but OK.


Yes, you can represent the person's angular momentum and angular velocity by vectors.

I don't understand. Relative to what?

Seems like you're trying to say that angular velocities can be represented by vectors. OK.


To find the angular momenta, multiply the angular velocity by the rotational inertia, not the mass.

Huh??
There was a slip. It should read as relative angular velocity and not relative velocity. Relative angular velocity = (angular velocity of the person - angular velocity of MGR)
Relative angular velocity is the angular velocity of the person relative to the angular velocity of MGR.

I stand corrected. You are right. To find the angular momenta, we must multiply the angular velocity by the rotational inertia, not the mass.
 

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