Design a zero off-set plate cam with an harmonic rise, cycloidal rise, and a 3-4-5 polynomial fall with the following data: Cam specifications: - Harmonic rise (0° < θ < 90° ) from 0 mm to 15 mm - Dwell ((90° < θ < 120° ) - Cycloidal rise (120° < θ < 180°) from 15 mm to 25mm - Dwell (180° < θ < 240°) - 3-4-5 polynomial fall (240° < θ < 360°) from 25mm to 0mm. The cam is driven by a constant speed motor rotating counter-clockwise at 250 rpm The radius of the base circle = 45 mm The radius of the roller follower = 6 mm