simple harmonic oscillator | simple harmonic oscillation

Simple harmonic motion refers to the periodic sinusoidal oscillation of an object or quantity. Simple harmonic motion is executed by any quantity obeying the differential equation x^¨ + ω_0^2 x = 0, where x^¨ denotes the second derivative of x with respect to t, and ω_0 is the angular frequency of oscillation. This ordinary differential equation has an irregular singularity at ∞. The general solution is x | = | A sin(ω_0 t) + B cos(ω_0 t) | = | C cos(ω_0 t + ϕ), where the two constants A and B (or C and ϕ) are determined from the initial conditions.

damped simple harmonic motion | harmonic addition theorem | simple harmonic motion--quadratic perturbation | uniform circular motion