Free Vibration with Damping | Differential Equations
The free vibration of a spring-mass-damper mechanical system would result to a homogeneous linear differential equation with constant coefficients. This video contains a discussion on how to get the response of a damped vibrating mechanical system without the influence of any external forces. This response is called the free or natural response of a system.

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Understanding Vibration and Resonance

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Session 23: Modeling of Undamped Mass Spring system with some examples (Part I).

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Undamped Mechanical Vibrations & Hooke's Law // Simple Harmonic Motion

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The Obsessive Engineering of Precision Linear Motion

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Forced Vibrations, Critical Damping and the Effects of Resonance

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Mechanical Vibration: Damped Forced Vibration. Part 1 - Derivation of Equations

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Damping and Damped Harmonic Motion

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Gil Strang's Final 18.06 Linear Algebra Lecture

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Solution to forced vibration damped system. Complementary Function and Particular Integral solution

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