Some Interesting Cases of Vibrating Systems

Three simple vibrating systems are described: The bifilar and trifilar pendula and the meter stick rocking on a cylindrical surface. All types afford challenging analytical problems. The bifilar pendulum with adjustable height of bob gives practice in scientific judgment, for of three possible modes of oscillation one is definitely best if one be interested in determination of g. The dumbbell model of bifilar pendulum, as well as the rocking stick, offer opportunities to study the effect of separately changing inertia and restoring factors. The trifilar pendulum offers an alternate to other common methods of measuring moments of inertia.