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Simple Harmonic
Acceleration directly proportional to the displacement from a fixed point
Acceleration is directed towards the fixed point (opp displacement)
Angular Frequency W
w = 2π / T = 2π F
Displacement
displacement x = x•sin(wt)
x• = max displacement
differentiate formula to get velocity, then acceleration
Velocity
v = (+ or -)w(x•² - x²)^(1/2)
where x• is max displacement
Amplitude
A = -w²x
Energy in SHM (undamped)
use v = (+ or -)w(x•² - x²)^(1/2)
in all formulas like KE = ½ mv²

Whats the max acceleration to not lose contact with the mass
9.81

When should you start timing oscillation
When pass through equilibrium