2. In this problem, we will design a plate cam with a flat-face follower. The displacement is given as 0 if 0≤0</3 y(0) = = 1-sin(0) if π/30<5/3 0 if 5/30 2π The displacement is measured in centimeters. (a) Determine the optimal radius Ro of the prime circle to avoid the undercut. Use the minimum radius of curvature for the cam profile Pmin = 4 cm. (b) Determine the optimal face width for the follower.