derive differential equation for damping oscillation and write it's solutions
Answers
Answer:
An equation of motion is a mathematical equation that completely describes the spatial and temporal development of a dynamic system under the influence of external forces. As a rule, these are second-order differential equations. In this section, we first consider the forces that affect the movement of the pendulum.
The pendulum motion depends on the balance of three forces: Inertia, the restoring force of the spring and friction.
Answer:
Damped Harmonic Oscillator
Problem Statement
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.
Explanation:
I hope it help you