Angular Momentum Conservation in Gear Interactions

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SUMMARY

The discussion centers on the conservation of angular momentum in gear interactions, specifically when one gear with an angular velocity interacts with a stationary gear of identical radius and moment of inertia. The participant questions how angular momentum can be conserved when the second gear's angular momentum vector appears to point in the opposite direction, suggesting a potential violation of conservation laws. A critical insight is provided, indicating that the axle of the gears must be considered part of the system, which clarifies the conservation of angular momentum in this scenario.

PREREQUISITES
  • Understanding of angular momentum and its vector nature.
  • Familiarity with the principles of rotational dynamics.
  • Knowledge of gear mechanics and interactions.
  • Basic grasp of system boundaries in physics.
NEXT STEPS
  • Study the principles of angular momentum conservation in closed systems.
  • Explore the role of rotational inertia in gear interactions.
  • Learn about the effects of external forces on angular momentum.
  • Investigate the mechanics of gear systems and their components, including axles.
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding the dynamics of rotating systems and gear interactions.

george heck
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Lets say one gear is rotating with some angular velocity and its angular momentum vector is pointing up.
A second gear (not rotating) is then allowed to mesh with the first. The second gear has the same radius and moment of inertia as the first.
Is not the angular momentum vector of the second gear pointing down since it rotates opposite to the first?
and if so, how is it that angular momentum is conserved as one gear will have positive and the other negative
angualar momentum - thus summing to zero, (after the "collision")?

thanks
 
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Hint : It isn't conserved . Look at the axle of the gears . Are they part of your system ?
 

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