Design a radial plate cam to move a translating roller follower through 30 mm in 30°, dwell for 100°, fall10 mm in 10°, dwell for 20°, fall 20 mm in 20°, and dwell for the remainder. Camshaft ro = 200 rpm. Minimize the follower's peak velocity and determine the minimum prime circle radius that will give a maximum 25° pressure angle. Determine the minimum radii of curvature on the pitch curve.