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Machanics
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w for spring
sqrt(k/m)
energy spring
.5mv² + .5kx²
velocity spring
v = +- sqrt((k(A²-x²))/m)
acceleration spring
a = -kx/m
frequency / period w/ omega
w = 2pi/T = 2pif
x(t)
x(t) = Acos(wt+theta)
acceleration shm any
a = -w²x
vmax, amax
Vmax = Aw // Amax = Aw²
Force law for shm
F = -w²mx
w pendulum
w = sqrt(g/L)
w physical
sqrt(mgd/I) , where d is the distance from the CM to the pivot
w torsion
w = sqrt(k/I), where k is torsion constant in T = k(theta)