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# Re: Harmonic Motion and Simple Harmonic Motion

John, Isn't that what I said? If harmonic function is a sum of sine
waves, then harmonic motion is repetitive motion that varies with time
in any way, i.e., a fourier sum of sine waves.

P O Johnson

--- "John S. Denker" <jsd@MONMOUTH.COM> wrote:
At 11:36 AM 6/28/01 -0700, Paul O. Johnson wrote:
I believe that Harmonic Motion is any motion that is repetitive and
follows the same closed path in one direction or the same open path
in
two directions (forth and back). The rate of motion (velocity) can
vary
with time in any way.

Simple Harmonic Motion is Harmonic Motion in which the rate of
motion
varies sinusoidally with time.

I don't think that's the usual definition.

According to the Century dictionary
http://216.156.253.178/CENTURY/04/index04.djvu?djvuopts&page=53

-- A harmonic function is a sum of sine waves.
-- A simple harmonic function is a single sine wave.
-- Simple harmonic motion is expressible as a simple harmonic
function of
time.

... which sounds about right to me.

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