## Simple OscillationEdit

For a simple oscillator consisting of a mass *m* to one end of a spring with a spring constant *s*, the restoring force, *f*, can be expressed by the equation

where *displacement* is the displacement of the mass from its rest position. Substituting the expression for *f* into the linear momentum equation,

where *a* is the acceleration of the mass, we can get

or,

Note that

To solve the equation, we can assume

The general solution for this type of 'simple harmonic motion' is . Here, (the angle expressed in radians) is known as the phase of the simple harmonic motion.