Small Oscillations

Suppose that we have two identical hoops, each with a radius R = 1.0 m. The upper hoop is in a fixed position, while the lower one is attached to the upper one by several mass-less cords; each of these cords has the same length l = 2.0 m and hangs vertically. Let the mass of the lower hoop be m = 1.0 kg. If we rotate it a bit around the vertical axis and release it, what is its period of small oscillations?

Simple Harmonic Motion  

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