2026-08-20 14:32:36: SHM

This commit is contained in:
2026-08-20 14:32:38 -04:00
parent 4494f376a6
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[[Oscillations]]
# Summary
* $x=A\cos(2\pi ft)$ for when object starts at max displacement (cos(0) = 1)
* $x=A\sin(2\pi ft)$ for when object starts at equilibrium (sin(0) = 0)
* Velocity is largest at equilibrium, acceleration is largest at turning points.
* Amplitude does not affect period.
* Velocity time graphs are shifted by a quarter period from displacement.
* Acceleration time graphs are shifted by half a period.
* Reading zeros and extrema tells position, direction of motion, and whether the object is speeding up or slowing down.