Figure $2$ illustrates a viscously damped two$-$degree$-$of$-$freedom system, used to model andanalyze vibrations in mechanical structural systems. The system has the followingparameters, with zero initial conditions: $1=22=51=10/2=20/3=5/1=2/2=3/3=1\mathrm{.}0/1()=02()=503\mathrm{.}1$ Determine the forced response of this viscously damped two$-$degree$-$of$-$freedommechanical system using modal analysis. $(35)3\mathrm{.}2$ Plot the displacement responses, $1()$ and $2(),$ of both masses over the first $10$seconds following the application of the force $2().$ Clearly label the displacementresponses for each mass and indicate any steady$-$state behavior observed in the graph.$(15)$Figure $2$: Viscously damped two$-$degree$-$of$-$freedom system.