Answer to Question #259577 in Physics for Almas

Question

Explain Simple Harmonic Oscillator and its derivation.

Answer 1

Simple harmonic oscillator is a system that oscillates according to the harmonic law, i.e. sinusoidal or cosinusoidal laws. Hence, its motion can be described in terms of amplitude A, angular frequency ω, time variable t, and phase shift φ:

$$x(t)=A\sin(\omega t+\phi)\equiv A\cos(\omega t+\phi).$$