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Q.6 Consider a frictionless horizontal hoop of radius r in which a bead can slide freely. The center of the hoop further travels in

Q.6 Consider a frictionless horizontal hoop of radius r in which a bead can slide freely. The center of the hoop further travels in a horizontal circle of radius R, about a point with constant angular frequency w. Find the equation of motion for the bead. Also find out the frequency of small oscillations about the equilibrium point.

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