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Spring Block's Time Period

The damping r...

Question

The damping ratio of a single degree of freedom spring mass damper system with mass of 1 kg. stiffness 100 N/m and viscous damping coefficient of 5 Ns/m is

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Solution

Damping ratio,

$ζ = \frac{C}{2 \sqrt{k m}} = \frac{5}{2 \sqrt{1 \times 100}} = \frac{5}{20} = 0.25$

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