A wheel is free to rotate about its fixed axle. A spring with constant k = 290 N/m is attached to one of its spokes a distance r = 23 cm from the axle, as shown in the figure. (a) Assuming that the wheel is a hoop of mass m = 490 g and radius R = 0.97 m, what is the angular frequency ω of small oscillations of this system? What is ω if (b)r = R and (c)r = 0?
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