The goal of this lab is to develop the equations of motion for the pivoting platform and ball balancing system. The equations should describe the necesary outputs of the motors in order to adjust the tilt of the platform such that the ball is balanced in the center of the table. This lab was done in collaboration with Jacob Everest (https://mediocre-code.bitbucket.io/)
(Source: https://bitbucket.org/dhmorse/me-405/src/master/Lab05/ see also https://bitbucket.org/mediocre-code/me-405-lab/src/master/Lab5/)
The following are images of (some) of the work I did to find the equations of motion for the system. It took many more pages to come up with the assumptions used...