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Lecture
Inertia Tensor and Rotational Dynamics
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Rotational Dynamics: Moments and Inertia
Explores moments of inertia, rotational energy, and motion in various shapes.
Kinematics and Dynamics of Rigid Bodies
Explores kinematics and dynamics of rigid bodies, including Euler angles and moment of inertia.
Rigid Body Dynamics: Center of Mass
Explores the dynamics of rigid bodies, emphasizing the concept of the center of mass and its applications in equilibrium and rotational motion.
Gyroscopic Effects: Conservation of Moment and Inertia Tensor
Covers the gyroscopic effects in solid bodies and the conservation of moment.
Dynamics of Solid Bodies
Explores the dynamics of solid bodies, covering speed, acceleration, and rotation principles.
General Mechanics: Rotational Motion
Explains rotational motion, moments of inertia, and theorems of König.
Solid Rotation: Moment of Inertia
Explores solid rotation, angular momentum, and moment of inertia calculation methods.
Spectral Theorem Recap
Revisits the spectral theorem for symmetric matrices, emphasizing orthogonally diagonalizable properties and its equivalence with symmetric bilinear forms.
Solid Kinematics: Translate and Rotate
Explains solid body kinematics, focusing on translation and rotation principles and main inertia axes.
Rotations in Two Dimensions
Explores rotations in two dimensions, covering vector products, angular momentum, and Newton's laws applied to rotational motion.