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A pendulum wave is an elementary physics demonstration and kinetic art comprising a number of uncoupled simple pendulums with monotonically increasing lengths. As the pendulums oscillate, they appear to produce travelling and standing waves , beating , and random motion.
SVG animation of a pendulum wave. A pendulum wave is a physics demonstration and kinetic art comprising several uncoupled pendulums with different lengths. As the pendulums oscillate, they appear to produce travelling and standing waves, beating, and random motion. [153]
A pendulum is a body suspended from a fixed support such that it freely swings back and forth under the influence of gravity. When a pendulum is displaced sideways from its resting, equilibrium position, it is subject to a restoring force due to gravity that will accelerate it back towards the equilibrium position.
This is due to the pendulum phenomenon of different small angle disturbances having approximately the same time to return to the center. The Hertzian differential equations predict that if two balls strike three, the fifth and fourth balls will leave with velocities of 1.14 and 0.80 times the initial velocity. [ 7 ]
For example, two pendulum clocks (of identical frequency) mounted on a common wall will tend to synchronise. This phenomenon was first observed by Christiaan Huygens in 1665. [ 2 ] The apparent motions of the compound oscillations typically appears very complicated but a more economic, computationally simpler and conceptually deeper description ...
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These equations represent the simple harmonic motion of the pendulum with an added coupling factor of the spring. [1] This behavior is also seen in certain molecules (such as CO 2 and H 2 O), wherein two of the atoms will vibrate around a central one in a similar manner. [1]
Pendulum wave graph Image title Timeline of a pendulum wave, with the slowest ball making 60 oscillations in one minute, the next 61, the following one 62, and so forth, by CMG Lee.