Definition of SHM
BINAS 35B1Tsokos Ch. 9.1
Overview
Simple harmonic motion (SHM) is defined by: acceleration is proportional to displacement from equilibrium and always directed back toward equilibrium: a = −ω²x. The minus sign is essential — it shows the restoring nature of the force. F = −kx (Hooke's Law for a spring) leads directly to SHM. The condition a ∝ −x is both necessary and sufficient for SHM.