Assignment:
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?