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• ### 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 mass-spring system T = 2Π Formula for the frequency of a mass-spring system ν =  Formula for the angular frequency of a mass-spring system σ = Equation for the displacement in simple harmonic motion x = xmcos(σt)

 Equation for the velocity in simple harmonic motion v = σxmsin(σt)

 Equation for the acceleration in simple harmonic motion a = σ2xmcos(σt)

 Equation for the potential energy of a simple harmonic system U = kx2