$1.$ Consider a mass spring dashpot system as shown, where the dashpot constant is $2$ mks and the spring constant is $\backslash (2\backslash$mathrm$\{$~N$\}/\backslash$mathrm$\{$m$\}\backslash ).$ If the masses are both $1$ kg and the external force is $\backslash ($ f$($t$)=2\backslash$sin t $\backslash ),$ and if the system starts at equilibrium, what is the position of mass $1$ after $\backslash (2\backslash$pi $\backslash )$ seconds? $($Round values to $2$ decimal places as you go$).$