The smooth surface of the vertical cam is defined in part by the curve r = (0.2 cos 0+0.3) m. (Figure 1)

Design a cam profile with an inline knife edge follower that has dwell during the first second, rise of 5cm with cycloidal motion for another 2 seconds before dwell for half second, then return with simple harmonic motion for the rest of time to complete one revolution. The cam rotates with a constant speed of 15rpm CCW. The nearest approach of the follower to the cam is 3cm.

Draw the cam clearly

1. A cam must rise in 3 seconds at constant velocity of 0.25 in/sec in the first segment. Then the follower must return to the zero position in 5 seconds with a full return cycloidal motion and then dwell for 3 seconds in segment 3. The final segment will be a full rise cycloidal motion. The total cycle time is 12 seconds, and the maximum height is in the first segment. Full return cycloidal motion 1 y = L + sin 2π Full rise cycloidal motion y = L sin Determine the following: The cam angular velocity. b. The cam rotation segment widths, B1 c. The lift (height) of the constant velocity segment. а. B4 , in degrees. Round off to nearest degree. d. The height at 0 = 180° е. The peak cam linear velocity V(t)peak with zero angular acceleration in segment 4.