( Special Note: We have often wondered if simple harmonic motion could be explained this thoroughly ................ )
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 .....................
The motion equation for simple harmonic motion contains a complete description of the motion, and the 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 by
NB: Apologies to those who are offended by nudity.