A small bead of mass m is constrained to slide without, Physics

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A small bead of mass m is constrained to slide without

A small bead of mass m is constrained to slide without friction inside a circular vertical hoop of radius r which rotates about a vertical axis at a frequency of f.

a) Find the angle where the bead will be in equilibrium--that is, where it will have no tendency to move up or down along the hoop.

b) If f = 2.00rev/s and r =22.0cm, determine what is the angle?

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