 # Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion

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• Course Introduction; Angular Velocity; Angular Acceleration
• In this section students will learn to derive the "derivative formula." We will define angular velocity for 3D motion and learn to determine and solve for the Angular Acceleration for a body.
• Velocities in Moving Reference Frames; Accelerations in Moving Reference Frames; The Earth as a Moving Frame
• In this section students will learn about velocities in moving reference frames, accelerations in moving reference frames, and the Earth as a moving frame.
• Eulerian Angles; Eulerian Angles Rotation Matrices; Angular Momentum in 3D; Inertial Properties of 3D Bodies
• In this section students will learn about Eulerian Angles rotation matrices, angular momentum in 3D, and intertial properties of 3D bodies.
• Translational and Rotational Transformations of Inertial Properties; Principal Axes and Principal Moments of Inertia
• In this section students will learn about translational and rotational transformations of inertial properties, and principal axes and principal moments of inertia.
• Motion Equations Governing 3D Rotational Motion of a Rigid Body (Euler Equations)
• In this section students will learn to develop Euler Equations for 3d motion and solve for the motion of a rigid body undergoing 3D rotational motion.
• 3D Impulse-Momentum Principles; 3D Work-Energy Principles
• In this section students will learn to develop and apply the principle of impulse-momentum and about 3D work-energy principles.

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