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Oscillations near the equator.

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Consider (unrealistically) a perfectly spherical rotating planet whose g
value is constant over the surface. A bead lies on a frictionless wire that
lies in the north-south direction across the equator. The wire takes the
form of an arc of a circle; all points are the same distance from the center
of the earth. The bead is released from rest, a short distance from the equator. Because g eff does not point directly toward the earth's center,the bead will head toward the equator and undergo oscillatory motion. What is the frequency of these oscillations?

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Consider (unrealistically) a perfectly spherical rotating planet whose g
value is constant over the surface. A bead lies on a frictionless wire that
lies in the north-south direction across the equator. The wire takes the
form of an arc of a circle; all points are the same distance from the center
of the earth. The bead is released from rest, a short distance from the equator. Because geff does not point directly toward the earth's center, the bead will head ...

Solution Summary

A bead on a wire perpendicular to equator is free to move. The frequency of small oscillations across the equator is calculated.

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