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by Dan Russell, at Kettering University in Flint, MI.
http://www.kettering.edu/~drussell/Demos/SHO/mass.html
One of many excellent animations at Russell's Acoustics and Vibration Animations. This page shows a derivation of the Simple Harmonic Oscillator (SHO) including an animated gif showing the simple harmonic motion of three undamped mass-spring systems.
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