Explore the intricacies of rigid body dynamics in this comprehensive lecture on Euler's equations. Delve into the Newton-Euler approach, deriving the most common forms of Euler's equations for rotational dynamics of rigid bodies. Gain intuition through qualitative analysis of various examples, including spinning tops, bicycle wheels, fidget spinners, and landing gear retraction. Learn how to derive Euler's equations in body-fixed and principal axis frames, and understand their application to free rigid body motion. Conclude with simulations that bring these concepts to life, enhancing your understanding of space vehicle dynamics and rigid body behavior.
Euler's Equations of Rigid Body Dynamics Derived - Qualitative Analysis - Build Rigid Body Intuition
Overview
Syllabus
Summary so far.
Newton-Euler approach to rigid bodies.
Qualitative analysis to build intuition about rigid bodies.
Spinning top analysis.
Spinning bicycle wheel on string .
Fidget spinner analysis.
Landing gear retraction analysis.
Euler's equations of rigid body motion derived in body-fixed frame.
Euler's equation written in components.
Euler's equation in principal axis frame.
Euler's equation for free rigid body.
Simulations of free rigid body motion.
Taught by
Ross Dynamics Lab
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