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Coupled Pendulum Oscillations

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Two pendulums, connected by a massless spring, are allowed to vibrate in the same vertical plane. For the limiting case of small oscillations, the equations of motion for the system are given by

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, ,

where is the acceleration of gravity. You set the masses, lengths and initial displacements. The resulting graph shows the angle between the two pendulums as a function of time.

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Contributed by: Stephen Wilkerson (Towson University) (March 2011)
With contribution by Franz Brandhuber
Open content licensed under CC BY-NC-SA

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