Derive differential equation for damping oscillations and writes its solution
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The damped harmonic oscillator is a classic problem in mechanics. It describes the movement of a mechanical oscillator (eg spring pendulum) under the influence of a restoring force and friction. This article deals with the derivation of the oscillation equation for the damped oscillator.
Although a basic understanding of differential calculus is assumed, the aim of this article is to provide the derivation with as many details as possible. Unfortunately many other sources available on the Internet omit important secondary calculations or only present them in abbreviated form.
damped oscillationdamped spring
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