A small sphere has a hole drilled in it and it is placed onto a wire. The wire is bent into a circle of radius 15 centimeters. The sphere can slide freely without friction around the circular wire. The circular wire is held vertically.
(a) If the circular loop of wire is spun around its vertical diameter with a period of 0.45 seconds, at what angle up from the bottom will the sphere slide so that it stays at a steady height?
(b) Repeat the problem using a period of 0.85 seconds.
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