Clear Explanation of Euler Angles with Animation, Rotation and Cosine Matrices, and Python Code

#robotics #roboticstutorials #roboticstraining #roboticsengineering #mechanicalengineering #mechatronics #roboticseducation #automation #plc #controlengineering #kinematics #mechanics #dynamics #dynamicalsystems #electricalengineering #aerospacetutorials #aerospace #spaceX #machinelearning #controltheory #optimalcontrol #optimization #mathematics #computergraphics It takes a significant amount of time and energy to create these free video tutorials. You can support my efforts in this way: - Buy me a Coffee: https://www.buymeacoffee.com/AleksandarHaber - PayPal: https://www.paypal.me/AleksandarHaber - Patreon: https://www.patreon.com/user?u=32080176&fan_landing=true - You Can also press the Thanks YouTube Dollar button In this aerospace and robotics tutorial, we explain one very important topic for properly understanding the kinematics and dynamics of rigid bodies. We explain the concept of Euler angles. In particular, we explain the so-called Z1-X2-Z3 Euler angles. We will first graphically explain the Euler angles, and then we will derive the expression for rotation matrices and direction cosine matrices that are the consequence of Euler rotations. We will also present the Python code that can be used to compute the direction cosine matrix of the associated Euler rotations. Also, I would like to mention the following. It took me a significant amount of time, energy, and planning to create this completely free video tutorial, as well as almost 400 free video tutorials that you can find on my YouTube channel. Consequently, I kindly ask you to press the like and subscribe buttons. Also, if you have a question or a comment about the material presented in this lecture, please feel free to ask your question in the comment section below.