1. Design a double-dwell cam to move a follower from 0 to 4" in 45, dwell for 135, fall 4" in 90, and dwell for the remainder. The total cycle must take 6 seconds. Use (1) Cycloidal Displacement and (2) a Fifth Order Polynomial to design the cams. Designing the cams includes creating an s-curve appropriate constraints (pressure angle and radius of curvature) may do this by hand and by utilizing any computer programs (Excel, DYNCAM, other). and sizing the cam to meet ). You 2. A compound gear train is shown in figure below. Gear 1 has radius rl= 4 cm, gear 2 has radius r2= 10 cm, gear 3 has radius r3= 7 cm and gear 4 has radius r2= 8 cm. Gear turns 30 rpm. (1) Compute the speed (rpm) and find the direction of gear 4. (2) Find the speed ratio my. Shaft b Shaft c Shaft a Oin Gear 1 Gear 2 Gear 3 Gear 4