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Angular Momentum and External Torque
This model is [generally applicable], but mathematically very complicated. In introductory mechanics it will only be used to describe the motion of a gyroscope.
Only used in problems involving a gyroscope.
- [torque (one-dimensional)]
- [angular momentum (one-dimensional)]
Model
Technically, any number of rigid bodies. In practice, only used in analyzing gyroscopes (single rigid body with a fixed pivot point).
Only external torques need be considered. Internal torques do not change the system's angular momentum.
Gyroscopic Approximation
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\approx \vec
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I]\end
(I is the moment of inertia of the gyroscope about the spin axis
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$
)
Angular Frequency of Gyroscopic Precession
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\right)}
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]\end
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\frac{d\vec{L}}
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= \sum_
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\vec
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]\end
Relevant Examples
None yet.
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