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A pendulum on a knife edge bearing may swing back and forth in a plane (relative to the Earth). A pendulum suspended from a

needle bearing

may swing in elliptical fashion on the surface of a sphere.



For the movement to stay parallel to a plane which is fixed relative to the stars, the pendulum must have a needle bearing but no initial momentum perpendicular to that plane. However, the origin of that plane will follow the daily and yearly movements of its location on the Earth. Relative to the Earth, such a pendulum's path will appear to rotate once around every sidereal day (23 hours, 56 minutes, 4 seconds).

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Q: What determines whether a pendulum swings in a plane or describes a three-dimensional path?
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