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,  the way I remember...