rotations link



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Topic: Science > Physics
User: "malibu"
Date: 10 Feb 2007 11:19:04 AM
Object: rotations link
A rotation in one plane will
tend to stay in its plane.
.

User: "Uncle Al"

Title: Re: rotations link 10 Feb 2007 12:19:46 PM
malibu wrote:


A rotation in one plane will
tend to stay in its plane.

"The polhode rolls without slipping on the herpolhode lying in the
invariable plane." H. Goldstein, Classical Mechanics, 2nd Ed.
(Addison-Wesley Publishing Co., 1980).
http://einstein.stanford.edu/highlights/hl_polhode_story.html
Idiot. A sealed book spun about its intermediate moment of inertia
will tumble. It will definitely NOT rotate in the plane of its
initial rotational excitation.
--
Uncle Al
http://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)
http://www.mazepath.com/uncleal/lajos.htm#a2
.

User: "Sam Wormley"

Title: Re: rotations link 10 Feb 2007 01:05:44 PM
malibu wrote:

A rotation in one plane will
tend to stay in its plane.

The torque-free rotation of an asymmetric top about one principal axis
is unstable. The unstable motion has the interesting feature that the
apparent direction of rotation periodically reverses.
.


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