Terms

Oscillating system
Any system that always experiences a force acting against the displacement of
the system (restoring force).

Restoring force
A force that always acts against the displacement of the system.

Periodic Motion
Any motion in which a system returns to its initial position at a later time.

Amplitude
The maximum displacement of an oscillating system.

Period
The time it takes for a system to complete one oscillation.

Frequency
The rate at which a system completes an oscillation.

Hertz
The unit of measurement of frequency.

Angular Frequency
The radian measure of frequency: frequency times 2Π.

Simple Harmonic Motion
Any motion that experiences a restoring force proportional to the
displacement of the system.
Formulae
Relation between variables of oscillation
 σ = 2Πν = 
Force exerted by a spring with constant k  F =  kx 
Differential equation describing simple harmonic motion
 + x = 0 
Formula for the period of a massspring system
 T = 2Π 
Formula for the frequency of a massspring system
 ν = 
Formula for the angular frequency of a massspring system
 σ = 
Equation for the displacement in simple harmonic motion
 x = x_{m}cos(σt) 
Equation for the velocity in simple harmonic motion
 v = σx_{m}sin(σt) 
Equation for the acceleration in simple harmonic motion
 a = σ^{2}x_{m}cos(σt) 
Equation for the potential
energy of a simple
harmonic system
 U = kx^{2} 