11 lines
545 B
Markdown
11 lines
545 B
Markdown
[[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.
|
|
|