The equation of motion for a harmonic oscillator is given by: The behavior of a harmonic oscillator can be mathematically described using a differential equation. ![]() This restoring force acts in the opposite direction to the displacement, causing the system to oscillate. It consists of a restoring force that is proportional to the displacement from the equilibrium position. Definition of a Harmonic OscillatorĪ harmonic oscillator refers to any system that can be modeled as a mass-spring system, pendulum, vibrating string, or other similar systems. ![]() In this section, we will explore the definition of a harmonic oscillator, explain simple harmonic motion, and discuss the importance of harmonic oscillations in physics. ![]() It is a system that exhibits repetitive back-and-forth motion around an equilibrium position. The harmonic oscillator is a fundamental concept in physics that describes a type of oscillatory motion.
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