Re: Harmonic Motion and Simple Harmonic Motion

["Paul O. Johnson" <hodgepoj@YAHOO.COM>]

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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