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The Usual Friday Crud

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Tuesday, 29 November 2005

Engineering for Non-Engineers

Simple harmonic motion is typified by the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooke's Law.
The motion is sinusoidal in time and demonstrates a single resonant frequency. (Simple Harmonic Motion Equations)

The motion equation for simple harmonic motion contains a complete description of the motion, and other parameters of the motion can be calculated from it.
The velocity and acceleration are given by:

The total energy for an undamped oscillator is the sum of its kinetic energy and potential energy which is constant at:




Or, simply illustrated graphically..


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