For a damped system m$,$ c and k are known to be m $=30$ kg$,$ c $=30$ kg$/$s$,$k $=30$ kN$/$m$.$ Calculate the values of $,$ wn$,$ fn$,$ wd and indicate the type of the damping. $($Underdamped$,$ Overdamped, Critical damped$)$

Question $5$Select one:

$=0\mathrm{.}452,$wn$=3\mathrm{.}162$ rad$/$s$,$ fn$=0\mathrm{.}503$ Hz$,$wd$=3$ rad$/$s$$Underdamped$.$

$=0\mathrm{.}016,$ wn $=31\mathrm{.}623$ rad$/$s$,$ fn $=5\mathrm{.}033$ Hz$,$ wd $=31\mathrm{.}619$ rad$/$s Underdamped.

$=0\mathrm{.}316,$wn$=3\mathrm{.}282$ rad$/$s$,$ fn$=0\mathrm{.}503$ Hz$,$wd$=3$ rad$/$s$$Undamped$.$

$=0\mathrm{.}316,$ wn $=3\mathrm{.}162$ rad$/$s$,$ fn $=0\mathrm{.}523$ Hz$,$ wd $=3$ rad$/$s Underdamped