Concept:
The damping ratio (ξ) is defined as ratio of viscous damping coefficient to critical viscous damping coefficient.
\(⇒ {{ξ }} = \frac{{{c}}}{{2\sqrt {{{km}}} }}{{\;\;\;\;\;}} \ldots \left( 1 \right)\)
where, ξ = damping ratio, c = damping coefficient, k = spring constant,
Calculation:
Given:
m = 1 kg, k = 100 N/m, c = 25 Ns/m
Using equation (1),
\(⇒ {{ξ }} = \frac{{25}}{{2\sqrt {100 \times 1} }}{{}}\)
⇒ ξ = 1.25
