The setup for this problem is like problem $4\mathrm{.}25$ in the homework. In this assignment, you are asked to investigate the effect of changing the dimension d and the height h on the tension in cable BD needed to maintain the rod equilibrium. Assume that d can vary between $0\mathrm{.}1$ to $0\mathrm{.}6$ m for three different values of h: $0\mathrm{.}1,0\mathrm{.}15,$ and $0\mathrm{.}2$ m$.$ Note that d $=0\mathrm{.}2$ m and h $=0\mathrm{.}1$ m correspond precisely to the data in the HW problem. To solve this problem, obtain an expression for the tension in the cable as a function of d for a given value of h$.$ Also, assume that the rod length is $316\mathrm{.}2$ mm$,$ and note that the horizontal distance of $100$ mm shown in the above figure would change if the height h is not $100$ mm$.$ Program your solution for the tension in the cable in MATLAB and provide in a single PDF file the following: a$.$ Details of how you obtained the expression for the force in the cable as a function of d and a given h$.$ b$.$ A copy of your MATLAB code c$.$ A plot of the tension vs$.$ d as d varies from $0\mathrm{.}1$ to $0\mathrm{.}6$ m for each of the three heights h$.$ Use the legend feature in MATLAB to identify each case. d$.$ Answers to the following questions: i$.$ What values of d give small values of tension? ii$.$ How is the tension dependent on the height h$?$ Note: This assignment should be done individually or in a team of two students maximum, with no work sharing between students or teams. If you worked on this assignment as a team of two, only one team member should upload the required file.