Synchronous Pendulums and Aliasing
AbstractWe present the construction, mathematical relation and simulation of a 16-bob pendulum wave machine (PWM). Following small angle approximation, the PWM is a useful teaching aid to demonstrate free oscillations and periodic motion; it can also illustrate effects of aliasing in physics and engineering. The duration of pattern cycle is adjusted with a set of pendulum lengths that are dictated by a non-linear function followed by the outline of the PWM design aspects.
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