Any system that always experiences a force acting against the displacement of
the system (restoring force).
A force that always acts against the displacement of the system.
Any motion in which a system returns to its initial position at a later time.
The maximum displacement of an oscillating system.
The time it takes for a system to complete one oscillation.
The rate at which a system completes an oscillation.
The unit of measurement of 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.
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
||U = kx2|