Show that for a small value of the damping factor c/cc,

Chapter 19, Problem 19.142

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Show that for a small value of the damping factor \(c / c_{c}\), the maximum amplitude of a forced vibration occurs when \(\mathrm{v}_{f} \approx \mathrm{v}_{n}\) and that the corresponding value of the magnification factor is \(\frac{1}{2}\left(c / c_{c}\right)\).

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