PROGRAMMING FOR ENGINEERS SEMESTER 1 2022/23 PROJECT 2 (MATLAB PROGRAMMING) 20% marks Project Description Using force equilibrium in three dimensions, a three cable system holding a mass illustrated above can be represented by three simultaneous equations as follows: TAv^A,x+TBv^B,S+TCv^C,X=0TAA^A,y+TBv^By+TCv^C,y=0TAv^A,z+TBv^B,z+TCv^C,z=mg where A,B and C are cable mounting points. T is cable tension, v^=(Vx,Vy,vP) is the asit vector pointing from the load point tonsards the cables moenting points which is also the direction of tension force. Task 1: Derive the above system of equations. Now, consider the problen configured as follows: - load mass: I kg - load coordinale (0,0,0) m - cable mounting coordinates: A:(111)B:(100.5)=C:(011) Task 2. Wrife a Matlab program to compute the tension of cable A. B and C holding the mtws as configure above. The program must poodace the following eucput: - Isometric view of peoblem scheanatic, - xy plane, xz plane and yz plane view with annotations including calculated cable Iensions. 3 - You may improve the plot representation according to your creativity. Task 3: Compete and plot the variation of the cable teasions when the elevation of the load is varied froen 0 to 3m. Exaraple of the plot is shown as follows: Task 4: Choose other two configurations of your interests (make sure they are different from those of your friends), then compute and reproduce similar plots for Task 2 and Task 3