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10 cards from this deck
d2xdt2=−ω2x\frac{d^2x}{dt^2} = -\omega^2 xdt2d2x=−ω2x
Angular frequency
v=ωa2−x2v = \omega\sqrt{a^2 - x^2}v=ωa2−x2
T=2πωT = \frac{2\pi}{\omega}T=ω2π
vmax=ωav_{\text{max}} = \omega avmax=ωa
At centre of motion (x=0x = 0x=0)
x=asin(ωt)x = a\sin(\omega t)x=asin(ωt) or x=acos(ωt)x = a\cos(\omega t)x=acos(ωt)
Amplitude (max displacement from centre)
m=±ωim = \pm \omega im=±ωi
x=Acos(ωt)+Bsin(ωt)x = A\cos(\omega t) + B\sin(\omega t)x=Acos(ωt)+Bsin(ωt)
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