Angular Momentum: Axis of Rotation & Centre of Mass

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Discussion Overview

The discussion revolves around the concept of angular momentum, specifically addressing the conditions under which the angular momentum of a rigid body is calculated, particularly in relation to the axis of rotation and the center of mass. Participants explore both fixed and moving axes of rotation.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions why the axis of rotation must pass through the center of mass and be symmetrical when using the equation L=(moment of inertia)*(omega) for a rigid body rotating around a moving axis.
  • The same participant inquires whether it is necessary for the axis to pass through the center of mass when dealing with a fixed and non-moving axis.
  • Another participant expresses confusion about the concept of a moving axis and suggests that angular momentum can be calculated about any real fixed axis, noting that a "free spinning" object has a "natural" axis.
  • A participant references Wikipedia as a potential resource for further information on angular momentum.

Areas of Agreement / Disagreement

The discussion appears to contain multiple competing views regarding the necessity of the axis of rotation passing through the center of mass and the implications of moving versus fixed axes. No consensus has been reached.

Contextual Notes

Participants have not fully clarified the definitions of "moving axis" and "natural axis," which may affect the understanding of the discussion. There are also unresolved assumptions regarding the conditions under which angular momentum is calculated.

glen_ky
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1) When we use the equation of L=(moment of inertia)*(omega) to calculate the angular momentum of a rigid body rotating around a moving axis, why the axis of rotation must pass through the centre of mass of this body and the axis should also be a symmetrical axis?

2) If for a fixed and non-moving axis, is this necessary to pass through the centre of mass?

Pls help, thanks.:eek:
 
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If someone could help...pls...Thanks...:frown:
 
Why nobody can help~~~how dissapointed...haizzzZzzzz...
 
Moving axis? How is the axis moving?

You can calcultate an angular momentum about any real fixed (relative to object) axis, but it the object is "free spinning", then it has a "natural" axis.

Maybe wiki will help here:

http://en.wikipedia.org/wiki/Angular_momentum
 

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