1. Design a cam to move a follower from 36 mm to 16 mm in 60°, fall an additional 16 mm in 50°, dwell 45°, rise 16 mm in 45°, rise an additional 20mm in 75°, and dwell for the remainder. Use polynomial functions for the rises and falls. The shaft speed is 250 rpm. Please calculate the cam speed in rad/second. How many segments will you use? Sketch the diagram of displacement vs. cam angle and label the segments on it. List the boundary conditions for each segment. Discuss other design alternatives. (30 points) Dynacam software is not needed. 2. Design a reverted spur gear train for a ratio of 30:1 and diametral pitch of 5 in 1. Specify pitch diameters and numbers of teeth. Assuming gears with pressure angle of 20° will be used. (30 points) 3. The following shows a four-bar linkage. Draw the free body diagram (FBD) of the coupler. L1=0.6m, L2=0.2m, L3=0.5m, L4=0.6m, AP=0.7m. The crank, coupler, and rocker have uniform cross sections. The vertical force at P is F=80N. At this selected moment, 03-30°. (10 points) P 3 B F A 03 4 2 96° 02 1 04