A disk cam rotating at 200 rpm lifts a radial roller follower with simple harmonic motion through a maximum displacement of 2.5 in. while the cam rotates through 90°. There is then a dwell of the follower for 180° of cam rotation, followed by a return of the follower in simple harmonic motion in the remaining 90° of cam rotation. For a follower weight of 8 lb, determine the inertia force of the follower for each 15° of cam rotation and plot the result. Determine and plot the resultant of the weight force and inertia force. Determine the required spring constant of a spring which will maintain contact of the follower with the cam throughout the cam rotation.