Damped and Forced Harmonic Motion (AQA A-Level Further Maths): Quizzes

Friction and air resistance

$k\frac{dx}{dt}$

$k^2 - 4\omega^2 < 0$

Approaches equilibrium without oscillating

$x = (At + B)e^{mt}$

The exponential term $e^{-\frac{kt}{2}}$

Equilibrium position moves over time

CF + PI

Complex roots oscillate, real roots decay

Opposite to velocity