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}
