Required information

A $\backslash (180-\backslash$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 maximum upward displacement. $($Round the final answer to three decimal places.$)$

The maximum upward displacement from the starting position is mm$.$