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Re: [Phys-l] basic laws of motion +- vectors +- angular momentum



I fail to see how this rather arbit rary definition leads you to anything useful regarding, say, a two particle system.
Regards,
Jack




On Tue, 9 Dec 2008, Dan Crowe wrote:

In nonrelativistic classical mechanics, the angular momentum of a single particle is r x p, where r is the vector position of the particle relative to the origin of a coordinate system, p is the vector linear momentum of the particle in that coordinate system, and the coordinate system is at rest in an inertial frame of reference.

Daniel Crowe
Loudoun County Public Schools
Academy of Science
dan.crowe@loudoun.k12.va.us

Jack Uretsky <jlu@hep.anl.gov> 12/9/2008 3:18 PM >>>
Hi all-
We probably all struggle with this from time-to-time, lured on by
the similarity of language. Linear momentum, angular momentum; both
involve momentum, no? So both should be conserved for the same reason, no?
And the answer is, no.
We can apply Newton's laws 1&2 to a single particle in an inertial
frame, and already we get conservation of momentum. For a single particle
in an inertial frame, however, angular momentum has no meaning. So in order
to discuss angular momentum, we must begin considering systems of
particles, and we are entering a whole new scenario, requiring a brand new
language.

Regards,
Jack
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