Required information

A $\backslash (160-\backslash$mathrm$\{$kg$\}\backslash )$ electromagnet is at rest and is holding $100$ kg of scrap steel when the current is turned off, thus dropping the steel. Know that the cable and the supporting crane have a total stiffness equivalent to a spring of constant $\backslash ($ k$=60\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}\backslash )$ and a damper $\backslash ($ c$=300\backslash$mathrm$\{$~N$\}\backslash$cdot $\backslash$mathrm$\{$~s$\}/\backslash$mathrm$\{$m$\}\backslash ).$

Determine the frequency of oscillation.

The frequency of oscillation is rad$/$s$.$