Here you go Stephen!
Something for you to figure in your free time.
Subject: Advanced Physics
The Scientific Explanation of Simple Harmonic Motion:
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...
Incidentally, an old friend and esteemed colleague of mine sent me this to ponder upon, and boy did I ever!!
Especially the "Graphic Illustration" and it's unique presentation of how this is applied in "Real Life" terms. ;) :) :) :)
At the risk of the "Graphic Illustration being received here as too objectionable, I'm going to post the "Graphic Illustration" Until Ross and the Mods say otherwise because I truly believe this could enlighten the minds of many here by observing how mathematics, and nature's beauty can work in complete harmony!!!
So enjoy the "Graphic Illustration" and how the mathematics precluding it explains harmonic motions because, I have a feeling it will not be kept in this thread once Ross & the mods get wind of the post and all of it's content!!! ;)
Respectfully,
Henry