Simple Harmonic Motion

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Last updated 8:10 PM on 3/18/25
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6 Terms

1
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Maximum Velocity

v_{\max}=A\omega

2
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Maximum Acceleration

a_{\max}=A\omega^2

3
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Spring Period

T=2\pi\sqrt{\frac{m}{k}}

4
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Pendulum Period

T=2\pi\sqrt{\frac{\ell}{g}}

5
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Displacement - Starting at Max Displacement

x\left(t\right)=A\cos\left(\omega t\right)

6
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Displacement - Any position

x\left(t\right)=A\cos\left(\omega t+\phi\right)