...
To identify these values we solved for each of them symbolically by hand and then used Matlab MATLAB to calculate the numerical values for one full revolution of the servo, the graph of each value can be seen below.
Figure 7. Position, Velocity, and Acceleration for Slider Mechanism of Carousel
To further verify that our design will work we used PMKS to model one of the pole and slider pairs as it rotates around the ring. We utilized the data from the Matlab MATLAB and PMKS simulation to verify the length of our slider and the radius of the sun gear we used for our design, (6" and 9.5" respectively) as we could determine there would be room for the slider bar to fully extend without interfering with the rotation of the pole around the carousel.
Figure 8. Animation for Slider using PMKS