Equation Blast: Oscillations

While some are contemplating the end of the world, I am studying for physics. Here are the essential oscillations equations to know for our test tomorrow.

Oscillations (Includes SHM, Springs, Pendulums):

F=-kx

x_max=A

v_max=Aw

a_max=Aw²

T=1/f and f=1/T

w=angular frequency=2(pi)f=2(pi)/T

v=wr

Potential Energy= (1/2)kA²cos²(wt)

Kinetic Energy= (1/2)kA²sin²(wt)

Total Energy= (1/2)kA²

x(t)= Acos(wt + phase shift)

v(t)= Awsin(wt + phase shift)

a(t)= -Aw²cos(wt + phase shift)

T_spring= 2(pi)[m/k]^1/2

For use with pendulums only:

T_pendulum= 2(pi)[L/g]^1/2

w=[(mgL)/(I_p)]^1/2

w=[g/L]^1/2

Also, from past units, the torque equations are handy, along with the moment of inertia equations.

STUDY!!!