Harmonic Motion

R-Rated

Please don't tell me if the equations are wrong, it is the harmonic motion that is important!!

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 image

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: image

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

Or, simply illustrated graphically...

image

January 6, 2005

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