This project is going to be 20% of your final grade towards the course. Please make sure to ask questions as you are working through the project and understand that some of the information may not need multiple lessons in order to complete the Project. For this project, use the water tower described in your textbook as Problem 4.12 (H = 80ft, W = 100 kip, k = 8.2 kip/in). The water tower initially starts at rest. Complete the following tasks. Image of a Water Tower with a height of 80 feet and width of 100 kipp(t) and t extending from a single point. One line connects them from points R and t(end) Assuming the tower is subjected to the triangular pulse force shown below, find the displacement as a function of time during the forced vibration and free vibration phases. Ignore damping for Part a Using Newmark's Method with b = , R=50 kip and tend =0.2 sec, graph the response of the system over the first 5 seconds assuming no damping. Use a time step of 0.05 seconds and compare to the theoretical solution computed in Part (a). [Create your own time stepping program (Excel is acceptable) and