How Do You Derive the Equation for Damped Frequency in a Spring System?

robmass · May 22, 2014

Hiya can anyone show how to derive the euqation of damped frequency for a spring

ω_d = ω_nsqrt(1-ζ²)

NascentOxygen · May 22, 2014

What is the differential equation describing the motion?

AlephZero · May 22, 2014

Google will find lots of web sites with the derivation.

As NascentOxygen said, you write down the differential equation for simple harmonic motion with damping, and solve it. There are no "clever tricks" required.

How Do You Derive the Equation for Damped Frequency in a Spring System?

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How Do You Derive the Equation for Damped Frequency in a Spring System?

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