Task: Bilatein has developed a new shack absorber system for racing cars. This new shock has different

dampening behaviar that is dependent an the amount of compression the shock is seeing. At the crossover point

$($cp$)$ of compression $[x),$ the spring constant $(k)$ changes from a linear behavior to a non$-$linear behawior. The

expressions of the spring constants at different compression ranges are shown in the table below:

Shack Behavior

The current parameters for the shock aborber are shown in the table below:

Parameters

Dampening Force $($F$)$ is defined as

$F=kx$

As the new engineer and MATLAB expert in the design group, you are tasked with writing a MATLAB code that

will plot the force as a function of compression, so the department hesd can visualize the dampening behavior. It

is also desired to have a waming displayed if the total travel goes past the maximum compression, which would

bottom out the shock absorber$.$ Since the spring constant, crossaver paint and maximum compression may still

be changed, you need to keep these as variables in your calculations for quick adjustment.

Write a MATLAB script file $[$m$-$file$)$ that will calculate the dampening force $($F$)$ as a function of the compression,

$($x$)$ and generates a plot.

Your script file should da the follawing:

A$.$ Declare all parameters as variables at the beginning of the script file and use these variables in your

subsequent calculations.

B$.$ Include detailed comments on all lines of code that say what the line of code is daing and include units, if

applicable.

C$.$ Contain a decisional structure to account for the changing spring constant with compressian. The structure

should also issue a warning if the travel will exceed the maximum compression.

D$.$ Make $2$D plats of the dompening force $($F$)$ as function of compression. $[$x$]$ Maloe a plot for two compression

ranges that are shown in the sarne figure window:

From $0$ to maximum compression

$2\mathrm{.}2mm$ below to $2mm$ above the crassover paint.

Label both axis with units, title and add grid lines on both plats.

Extra Credit $[1$pts$)$

Place the decisianal structure you developed in part C in a MATLAB function file that is appended to the script

file you created. Call the function file and pass the compression, $($k$)$ crossover point, $($cp$)$ spring constant $($k$)$ and

the maximum compressian $(x\_$max$)$ to the function file to calculate the dampening force. The script and function

file must be included in m$-$file that you are submitting to CANVAS.