Articles for subject Coupled Oscillators
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The loaded string is a classic problem of coupled oscillators where \(N\) small masses are threaded onto a light string. It makes a nice transition for considering the continuum case and waves.
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The continuum limit of the loaded string is derived, arriving at the one dimensional wave equation.
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Coupling together two or more oscillators introduces a whole new level of complexity. It turns out that there is a particular way of looking at the system that makes it simple to solve the motion.