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How do I predict the position, velocity and acceleration of a simple harmonic oscillator?

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How do I predict the position, velocity and acceleration of a simple harmonic oscillator?

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The position of any simple harmonic oscillator can be given by A = Aocos(wt) where Ao is the maximum displacement of the oscillator from the equilibrium position and where w is the angular velocity of the oscillator. The angular velocity can be determined from the period where w = 2p/T where T is the period of the oscillation.

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