Figure 3. Front view of the crank shaft mechanism.
The main focus of my kinematic analysis was the head of the Peek-a Bear model. In order to to this, I first required to convert the three-dimensional mechanism inside of the model into a planar mechanism. I theorized the mechanism inside could be easily approximated and modeled as an off set crank slider.
The off-sett crank slider (shown on the right) position, linear velocity, and linear acceleration can be solved by using the equations from Designs of Machinery (attached below).
(eqn 4.17)
(eqn 6.22a)
(eqn 6.22b)
Figure 4. Side View of Crank Shaft The Mechanism (modeled as a slider crank).