Simple Harmonic Motion (Edexcel A-Level Further Mathematics): Flashcards

Acceleration proportional to displacement and directed toward center

$\frac{d^2x}{dt^2} = -\omega^2 x$

Constant of proportionality

Toward the centre of motion

$m^2 + \omega^2 = 0$

$m = \pm i\omega$

$x = A\sin(\omega t) + B\cos(\omega t)$

$x = R\sin(\omega t + \alpha)$ or $R\cos(\omega t + \alpha)$

Differentiation with respect to time

90 degrees