For a damped system $m,c$ and $k$ are known to be $m=1kg,c=2k\frac{g}{s},k=10\frac{N}{m}.$ Calculate the values of $,w_n,f_n,w_d$ and indicate the type of the damping. $($Underdamped$,$ Overdamped, Critical damped$)$

Select one:

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

$=0\mathrm{.}316,w_n=3\mathrm{.}162ra\frac{d}{s},f_n=0\mathrm{.}503Hz,w_d=3ra\frac{d}{s}$ Underdamped.

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

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