2026-08-20 14:32:36: SHM
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[[Oscillations]]
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# Summary
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* $x=A\cos(2\pi ft)$ for when object starts at max displacement (cos(0) = 1)
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* $x=A\sin(2\pi ft)$ for when object starts at equilibrium (sin(0) = 0)
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* Velocity is largest at equilibrium, acceleration is largest at turning points.
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* Amplitude does not affect period.
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* Velocity time graphs are shifted by a quarter period from displacement.
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* Acceleration time graphs are shifted by half a period.
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* Reading zeros and extrema tells position, direction of motion, and whether the object is speeding up or slowing down.
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