The cam rotation angle, the rise and fall, and the output motion of a disk cam with a reciprocating roller follower are given in Table P6.30. The diameter of the base circle of the cam is 90 mm, the diameter of the roller follower is 30 mm, and the follower eccentricity is 20 mm.

Sketch the displacement diagram and its first two derivatives. At the cam rotation angle Θ = 230◦, determine:

(a) the first and second-order kinematic coefficients of the displacement diagram;

(b) the coordinates of the point of contact between the cam and the roller follower, expressed in the moving Cartesian coordinate system attached to the cam;

(c) the radius of the curvature of the cam profile; and

(d) the pressure angle of the cam. Is this pressure angle acceptable for this cam-and-follower system?