(Solved): Consider the spring-mass system shown in Figure. The displacement x is measured from the equilibri ...

Consider the spring-mass system shown in Figure. The displacement $x$ is measured from the equilibrium position. The system is initially at rest. Assume that at $t=0$ the mass is pulled downward by $0.1\mathrm{m}$ [i.e., $x(0)=0.1$ ] and released with the initial velocity of $0.5\mathrm{m}/\mathrm{s}[$ i.e., ${}_{,}\stackrel{?}{x}(0)=0.5]$ Obtain the response curve $x(t)$ versus $t$ with MATLAB. Assume that $m=1\mathrm{kg}$ and $k=9\mathrm{N}/\mathrm{m}$