Using the developed MATLAB Program, determine and plot the transient response, velocity and acceleration of a SDOF system model of the Compaction machine system shown in the next page, considering the above 5 types of excitations. FO) -Piston LP -Cylinder m Material being compacted Platform Using the data: M= 100 kg, k=1200 N/m, c =50 N-s/m, Fo =100N Range of t1 for various compaction operations in service is known to be 0.15-1.5 s. You can consider 10 values of t1 within this range considering uniform intervals between these ten values. (a) Obtain the solution for each value of t. (b) Establish the accuracy of your computational solution by comparing your results for at least one loading case with the analytical solution available in lecture notes. (c) Compare the solutions obtained considering the 10 values of t1, for each loading case, and state your observations and inferences from a design point of view. (d) Using the obtained solutions, investigate the design-related and performance- related characteristics of the compaction machine system, including but not limited to: (i) the maximum values of the compaction and the speed of the compaction, (ii) the corresponding time instants, and (iii) energy and cost efficiency of the system. Using the developed MATLAB Program, determine and plot the transient response, velocity and acceleration of a SDOF system model of the Compaction machine system shown in the next page, considering the above 5 types of excitations. FO) -Piston LP -Cylinder m Material being compacted Platform Using the data: M= 100 kg, k=1200 N/m, c =50 N-s/m, Fo =100N Range of t1 for various compaction operations in service is known to be 0.15-1.5 s. You can consider 10 values of t1 within this range considering uniform intervals between these ten values. (a) Obtain the solution for each value of t. (b) Establish the accuracy of your computational solution by comparing your results for at least one loading case with the analytical solution available in lecture notes. (c) Compare the solutions obtained considering the 10 values of t1, for each loading case, and state your observations and inferences from a design point of view. (d) Using the obtained solutions, investigate the design-related and performance- related characteristics of the compaction machine system, including but not limited to: (i) the maximum values of the compaction and the speed of the compaction, (ii) the corresponding time instants, and (iii) energy and cost efficiency of the system