Plot the response $\backslash (\backslash$left$($x$\_\{1\}\backslash$right$.\backslash )$ and $\backslash (\backslash$left$.$x$\_\{2\}\backslash$right$)\backslash )$ of the system shown below if the $6$ kg mass is given an initial displacement of $10$ mm $($to the right$),$ and at the same the $4$ kg mass is given an initial velocity of $\backslash (20\backslash$mathrm$\{$~mm$\}/\backslash$mathrm$\{$s$\}\backslash )($to the right$).$ Furthermore, explain clearly how the damper value $($which is shown in the figure as $\backslash (400\backslash$mathrm$\{$Ns$\}/\backslash$mathrm$\{$m$\}\backslash ))$ affects the response. Obtain the value of the damper $($in the units $\backslash (\backslash$mathrm$\{$Ns$\}/\backslash$mathrm$\{$m$\}\backslash ))$ that would decrease the peak displacement of the $6$ kg mass to $1$ mm after its own $4$ oscillations from the initial disturbance.