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A wheel is free to rotate about its fixed axle. A spring is attached to one of its spokes a distance r from the axle, as shown in Fig. 17-38. Assuming that the wheel is a hoop of mass M and radius R, obtain the angular frequency of small oscillations of this system in terms of M, R, r, and the force constant k. Discuss the special cases r = R and r = 0.
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