The damping ratio for a viscously damped spring mass system, governed by the relationship is \(m\frac{{{d^2}x}}{{d{t^2}}} + c\frac{{dx}}{{dt}} + kx = F\) given by

1
\(\sqrt {\frac{c}{{mk}}} \)
2
\(\frac{c}{{2\sqrt {km} }}\)
3
\(\frac{c}{{\sqrt {km} }}\)
4
\(\sqrt {\frac{c}{{2mk}}} \)

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