Forced Oscillations
Oscillations produced in a system subjected to a periodic external driving force.
Governing formula
m (d²x/dt²) + b (dx/dt) + k x = F0 cos(ω t)
SI unit
m
In depth
The system eventually settles into steady-state motion vibrating at the driving frequency ω, with amplitude determined by how close driving frequency is to natural frequency.
Examples in the real world
A washing machine vibrating at its motor speed during the high-speed spin cycle.