For a damped system $m,c$ and $k$ are known to be $m=30kg,c=20k\frac{g}{s},k=2k\frac{N}{m}.$

Calculate the values of $,w_n,f_n,w_d$ and indicate the type of the damping.

$($Underdamped$,$ Overdamped, Critical damped$)$

Select one:

$=0\mathrm{.}041,w_n=8\mathrm{.}165ra\frac{d}{s},f_n=1\mathrm{.}299Hz,$

$w_d=8\mathrm{.}158ra\frac{d}{s}$ Underdamped.

$=0\mathrm{.}452,w_n=3\mathrm{.}162ra\frac{d}{s},f_n=0\mathrm{.}503$

$Hz,w_d=3ra\frac{d}{s}$ Underdamped.

$=0\mathrm{.}316,w_n=3\mathrm{.}162ra\frac{d}{s},f_n=0\mathrm{.}523Hz,$

$w_d=3ra\frac{d}{s}$ Underdamped

$=0\mathrm{.}316,w_n=3\mathrm{.}282ra\frac{d}{s},f_n=0\mathrm{.}503$

$Hz,w_d=3ra\frac{d}{s}$ Undamped