Design a cam for an automated part loader as shown in Figure 2. The prescribed motions as provided as follows: • Rise 50 mm in 1.5 s using the constant velocity motion scheme. Return in 2.0 s using the cycloidal motion scheme. Dwell for 0.75 s Repeat the sequence Cam Follower Figure 2 Using the motion equations, construct a chart that tabulates follower displacement versus time and cam rotation. Plot the displacement vs time. In addition, analytically determine the cam profile coordinates when a knife-edge follower is incorporated. It is required in the design specifications that a cam with a base circle diameter of 200 mm must be used due to size constraints of the machine. The cam is to rotate counterclockwise. Hint: Consider in-line knife-edge follower, of which the coordinates of the cam profile can be determined by: R. (RAR) sin (RAR) cos Ry where the following notation is used: Ryx coordinate of cam surface profile Ry coordinate of cam surface profile R= Base circle radius Cam rotation angle measured against the direction of cam rotation from the home position AR Follower displacement at cam angle o