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HARMONIC OSCILLATOR

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Formula name

HARMONIC OSCILLATOR

Description

simple harmonic oscillator

Syntax

/*
t: time at which the displacement, velocity and acceleration are computed
A: amplitude
w_0: angular frequency of the oscillator
Φ: Phase, determines starting point /conditions at time t=0 */
/*displacement at time t */
x_t = A*COS(w_0*t + Φ)
/* velocity at time t */
v_t = -A*w_0*SIN(w_0*t-Φ)
/*acceleration at time t */
...

Notes

A harmonic oscillator is a system in which the restoring force is direct proportional to the displacement, such as a mass attached to a spring.

Category / Subcategory

Physics / Kinematics

Creator

pbrodmann@brodmann.biz

Account

Free

Tags

oscillator velocity and acceleration

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