Conservation of Angular Momentum and Vectors

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SUMMARY

The discussion centers on the conservation of angular momentum, specifically illustrated through the example of a person on a rotating chair holding a rotating wheel. When the wheel's axis of rotation is vertical, the person rotates in the opposite direction, demonstrating that total angular momentum is conserved by combining the momentum of both bodies. The question arises regarding the behavior of angular momentum when the wheel is turned 90 degrees, leading to the conclusion that the wheel must spin faster to maintain conservation as only one body is rotating. Additionally, the discussion addresses the concept of angular momentum vectors being perpendicular to the plane of rotation, clarifying that this does not imply a force in that direction.

PREREQUISITES
  • Understanding of basic physics concepts, particularly angular momentum
  • Familiarity with rotational dynamics and torque
  • Knowledge of vector mathematics and their applications in physics
  • Basic grasp of conservation laws in physics
NEXT STEPS
  • Study the principles of angular momentum conservation in detail
  • Explore rotational dynamics using simulations or experiments
  • Learn about vector representations in physics, focusing on angular momentum vectors
  • Investigate real-world applications of angular momentum in engineering and mechanics
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Students of physics, educators teaching rotational dynamics, and anyone interested in understanding the principles of angular momentum and its applications in various physical systems.

esmeralda4
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Hi there,

I'll come straight out with this, I'm really struggling to understand the conservation of angular momentum.

A common example involves someone sitting on a rotating chair holding a rotating wheel. If the wheel is held so that the axis of rotation is vertical then the person rotates in the opposite direction.

The total angular momentum is conserved by adding together the momentum of the two bodies.

Does this mean that when the wheel is turned 90 degrees then it will spin faster since the person on the chair is no longer rotating? The wheel would have to spin faster to conserve angular momentum since there is now only one body rotating right? If this is wrong can someone help to explain please?

Also I don't understand what it means to say the vector of angular momentum is perpendicular to the plane of rotation. Does that mean there is a force in this direction? If not then why not since momentum includes a mass and velocity?

Hope that makes sense.

Many thanks
 
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Try this: https://www.khanacademy.org/science/physics/torque-angular-momentum/torque-tutorial/v/conservation-of-angular-momemtum

Or this: http://www.triumphofmind.net/2011/07/angular-momentum-is-easy-or-physics-of.html
 
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