If the equilibrium position is chosen to correspond to x = 0, the most general form of the position function for a simple harmonic oscillator is x(t)=Acos(ωt+ϕ), where The amplitu...If the equilibrium position is chosen to correspond to x = 0, the most general form of the position function for a simple harmonic oscillator is x(t)=Acos(ωt+ϕ), where The amplitude A and phase angle ϕ are determined by the initial conditions. The angular frequency will then be √mgd/I, where I is the moment if inertia around the pivot point, and d the distance from the pivot point to the center of mass.
