Conceptual Q: Angular Momentum

AI Thread Summary
Angular momentum, represented as L = r x p, is significant as it describes the rotational motion of an object around an axis, in this case, the z axis. When an object like a dreidel spins, its angular momentum is perpendicular to its axis of rotation, which influences its motion. In a frictionless environment without gravity, a perfectly vertical dreidel will not move or stop, as there are no external forces acting on it. However, if the dreidel is tilted at an angle under gravity, it will eventually come to a stop due to gravitational torque acting on it. Understanding these principles clarifies the behavior of rotating objects in different conditions.
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L = r x p

What's the significance of angular momentum, L, acting along the z axis? Angular momentum is being compared to translational momentum, p = mv, but translational momentum is acting the same direction of the velocity, right?

Thanks for any help!

edit: this is a nice gif:

http://en.wikipedia.org/wiki/File:Torque_animation.gif
 
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Angular momentum along the z axis means that the object is rotating about the z axis. The velocity of the particles is perpendicular to the axis of rotation, hence L=rxp.
 
DaleSpam said:
Angular momentum along the z axis means that the object is rotating about the z axis. The velocity of the particles is perpendicular to the axis of rotation, hence L=rxp.

I think I understand what you're saying. Just hit a section about precessional motion. I think this will fill in the blanks when I get through it.

Closing my book for tonight I think~

Thank you very much for your reply
 
DaleSpam said:
Angular momentum along the z axis means that the object is rotating about the z axis. The velocity of the particles is perpendicular to the axis of rotation, hence L=rxp.

Alright, not sure I completely understand this concept yet. Could you answers these questions for me?

A dreidel is spinning away, no resistance from air or friction from surface (or anywhere else). It mas mass, angular speed, etc. Nothing special about it.

1) The dreidel is placed perfectly perpendicular on top of a horizontal surface. If there is no gravity, will the dreidel move in any way or eventually come to a stop? Of course not, right? The graphs of L acting on z were confusing me, though.

2) The dreidel is placed at a slight angle away from perpendicular on top of a horizontal surface, under gravity. Will the dreidel eventually come to a stop?
 
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