For a double$-$dwell cam to move a follower from $0$ to $1\mathrm{.}5$ in $45$ deg, dwell for $150$ deg, fall $1\mathrm{.}5$ in in $90$ deg, and dwell for the remainder. The total cycle must take $6$ sec $.$ Pick the profiles for minimum velocity of the follower in the RISE & FALL,

a$)$ Determine the range of the zones as a function of the Cam Angle.

b$)$ Compute the SVAJ values for the Cam angle of $240.$