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Classical Mechanics

Simple Harmonic Motion

Repetitive periodic motion where restoring force is directly proportional to displacement and acts toward the equilibrium position.

Governing formula x(t) = A cos(ω t + φ), ω = √(k/m)
SI unit m, rad/s

In depth

SHM produces sinusoidal position, velocity, and acceleration curves over time, with continuous energy exchange between kinetic and potential energy.

Examples in the real world

A mass bouncing on an ideal spring, or a small-angle swinging pendulum.