A pendulum is formed by pivoting a long thin rod, of length L and mass m about a point on the rod. (a) Find the small-amplitude. Period of this pendulum in terms of D L m and,,, G. (b) Show that the period has a minimum value when d = L / √ 12 = 0.289L.? A wheel is free to related 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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