(Solved): Please give as matlab code Figure 1 shows a mass-spring model of the type used to design packaging s ...

Figure 1 shows a mass-spring model of the type used to design packaging systems and vehicle suspensions, for example. Figure Q10 - Mass-spring model of the packaging systems and vehicle suspensions The springs exert a force that is proportional to their compression, and the proportionality constant is the spring constant $k$. The two side springs provide additional resistance if the weight $W$ is too heavy for the centre spring. When the weight $W$ is gently placed, it moves through a distance $x$ before coming to rest. From statics, the weight force must balance the spring forces at this new position. Thus $W=\{\begin{array}{cc}{k}_{1}x& \text{ if }x<d\\ k_{1}x+2k_2(x?d)& \text{ if }x?d\end{array}$ a. Create a function that computes the distance $x$, using the input parameters $W,k_1,k_2$, and $d$. [7 mark] b. Use your function to plot $x$ versus $W$ for $0?W?3000[N]$ for the values of $k_1=10^4\left[\frac{\mathrm{N}}{\mathrm{m}}\right],k_2=$ $1.5\times 10^4\left[\frac{\mathrm{N}}{\mathrm{m}}\right]$, and $d=0.1[\mathrm{m}]$. Do not forget to label and format your graph.