A translating cam-follower is to be designed for a Rise-Dwell-Fall-Dwell (RDFD) application in which vibrations must be considerexd. The cam is to move the follower from 0 to 35 mm in 70, dwell for 100, fall back to 0 mm in 80, and dwell for the remainder of the cycle. In addition, the cam must rotate at an angular velocity of 60 RPM. The position (s), velocity (v), and acceleration (a) curves during the rise period are defined by the following polynomial equations: 5 s = h 84 + 70 20 3 5 6 v = 140 - 420 + 420 140 3 57 a 420 1680 + 2100 840 82 (a) Determine the maximum follower velocity during the rise period (in m/s). (10 PTS) (b) Determine the maximum follower acceleration during the rise period (in m/s). (10 PTS) (c) Calculate the pressure angle at 0 = 35 in the rise period. Use e = 0 and R, = 350 mm. (10 Prs) (d) Provide a rough sketch of the cam surface profile required to ensure the follower's motion meets the design position specifications. (5 PTs)