Chapter 2, Problem 30P

The characteristic equation of a mass, spring, and damper system shown in Fig. P2.34) is given by

$m{s}^2+cs+k=0$ (2.73)

(a) If $m=1$ kg, $c=3$ Ns/m, and $k=2$ N/m, solve the quadratic equation (2.73) for the values of using the methods of completing the square and the quadratic formula.

(b) Repeat Part (a) if $m=1$ kg. $c=3$ Ns/m, and $k=2$ N/m.