Write a brief, logical report on your findings on the vibration behaviour of the screen and foundation system. Marks will be awarded for report format, structure, presentation, depth and correctness of analysis and your overall solution: Based on the last digit of your student number, choose the model that you will be analyzing Number Model Number Model H1-0618 H1-1236 H1-0918 H1-1536 H1.1218 H1-1543 H1-1224 H1-1836 HI-1230 HI-1848 1 2 3 4 6 7 8 9 Section 1: System Develop a SDOF rigid body humped mass model of the vibrating screen found in Figure 1. The following results should be given (not necessarily in this order): 1. Free body diagram 2. State all the assumptions 3. Apply Newton's law for the vibrating mass to show that the force magnitude Fo on the vibrating head is. F = (k - mw?)X 4. Calculate the natural frequency of the system. 5. Calculate the stiffness per spring if the machine is supported by 10 springs in parallel. 6. Calculate the motor force 7. What is the static deflection of the springs? 8. What is the maximum transmitted force at the running speed? Note that the spring configuration is found in Figure I and not on the data sheets Be sure you state all assumptions in this section Be sure you label cach sections for the above items so that it is clear you are showing the solution for that item. A solution for a particular item found in another section will not be counted as a solution for that item. For example, solving for the static deflection in the section for the spring stiffness will not be counted towards marks for the static deflection