Results of Analysis

Figure 5. Position of The Head (relative to ground) vs Input Angle

From the figure above, you are able to visualize the periodic trajectory the head follows as the input angle makes a rotation around the horizontal.

Figure 6. Linear Velocity of The Head vs Input angle

The second figure demonstrates the linear velocity of that the head as input angle makes a complete rotation around the horizontal (with constant angular velocity as an input).

Figure 7. Linear Acceleration of The Head vs. Input Angle

The last figure demonstrates the change in linear acceleration of the head as input angle makes a complete rotation around the horizontal. It is also important to note that the rapid acceleration seen in the graph is responsible for giving the illusion of the head "peeking."