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Re: The gyrogenerator



At 06:35 PM 12/24/2003, Leigh, you wrote:
//
> Consider an electric generator to be mounted solidly to the Earth with
> its rotor axis parallel to Earth's axis of rotation. //
A gyroscope with a large rotor is now attached by its cage to
> the shaft of the generator, its rotational axis being perpendicular to
> that of the generator,//
> The gyroscope is set spinning.
It is important to recognize that the angular
momentum of this system is not parallel to the angular momentum of the
Earth. That means it is not parallel to the axis of the generator. As
seen from an inertial frame, the Earth's angular momentum remains
constant, unaffected by the gyro.//

I take it that you can assert that the Earth's angular momentum is
unchanged because you ignored the effect of spinning up the gyro?

At this load there will be components of the torques in the plane of
the two angular momenta, and perpendicular to the gyro axis. The
magnitude of the gyro's angular momentum will not change, but that of
the Earth will change slightly, as will the angle it makes with respect
to the gyro's axis.

If you account for changing the Earth's momentum at this point,
then can I ask with reference to what does the momentum change:
the Earth-Moon system, the Solar system - or the integrated
effect of the distant stars?

> (The comment on the tides is somewhat misleading in this sense because
> the tidal forces do exert external torque on Earth.)
>///
Leigh


Brian Whatcott Altus OK Eureka!