HW0x02 Ball Balancer System Modeling

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Below is the handwritten work to derive the equations that model our ball balancer system. We began by finding the kinematics of the system, separating our analysis into looking at the ball and platform and just the ball by itself.

After finding the kinematics, we moved on to find the kinetics of the system using free body diagrams and kinetic diagrams and setting the moments about the base of the platform equal to each other. After that we arranged our solution into a matrix format so tha we will be able to easily model it later on in HW0x03

Author

Lucas Murray

Date

February 9, 2022