View Full Version : gravity probe b gyroscope
powerball
Mar15-04, 03:33 AM
In GPB's experimental conditions, a negligible amount of precession takes place.
So in terms of rotational inertia, why does the spin axis of a gyroscopes remain pointing in the same direction?
Also, why would changes in space-time cause the axis to change?
Thanks
powerball
Mar16-04, 05:22 AM
Actually i understand the second part, just not the rotational inertia bit
da_willem
Mar16-04, 09:38 AM
why does the spin axis of a gyroscopes remain pointing in the same direction?
Because of the conservation of angular momentum. In absence of a torque the angular momentum of the gyroscope is conserved. This is basically the rotational analog of Newtons second law for conservation of 'normal momentum' in absence of a force.
The angular momentum, which is a vector, points in the direction of the spin axis, because it is the crossproduct of the radius and momentum of the gyroscope. In absence of a torque the gyroscope will spin with a constant speed AND direction. So the spin axis of the gyroscope will remain pointing in the same direction.
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