A disc cam-follower mechanism is required for an automated screw machine. The starting position is shown in the figure. The mounted part on the platform (i.e. the follower) is to move a distance, a = 4 cm to the right for to = 0.5 second, then remains stationary for 1 second to allow a screw to be added to hole A, then moves an additional distance, b = 2 cm to the right in to = 0.2 second followed by another 1 second when the platform remains stationary again while a screw is added to hole B, and finally returns to the start position in 1.3 second and the cycle repeats. The compression spring ensures that contact is maintained between the follower and the cam. disc cam (=8 0=0 platform part The cam profile in the figure is for illustrative purpose only. It is not the actual profile. Not Scale Unit: cm Z Screw driver M Compression spring Design a cam mechanism for the automated screw machine. a) Determine the required rotational speed of the cam. Express the answer in both rad/s and rotation per minute, RPM (1 mark) b) Select the motion types for each segment and provide clear justifications (2 marks) c) Plot the s va diagrams. Use MATLAB / any other programs you are familiar with to do this task. You may modify the MATLAB codes provided in the tutorial solution. (2 marks) d) What are the maximum velocity and acceleration of the motion cycle? (1 mark) e) Design the cam-plate in Autodesk Inventor and build the simplified dynamic simulation model of the cam-follower showing the motion. Upload the movie file. (4 marks)