Consider the differential equation [ ddot{x}+2 zeta omega_{n} dot{x}+omega_{n}^{2} x=0 ] Define in words and in terms
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Consider the differential equation
\[ \ddot{x}+2 \zeta \omega_{n} \dot{x}+\omega_{n}^{2} x=0 \]
Define in words and in terms of system parameters \(m\), \(c\), and \(k\) for
(a) \(\omega_{n}\) and
(b) \(\zeta\).
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