Solid Kinematics: Translate and Rotate

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Solid Rolling without Slipping

Covers the dynamics of rigid bodies, focusing on the general case of a solid rolling without slipping.

Rolling without slipping

Explores angular momentum, kinetic energy, and dynamics of rotating solid objects, focusing on rolling without slipping.

Advanced Physics I: Rotational Dynamics

Covers advanced topics in rotational dynamics, including gyroscopic effects and solid body dynamics, with practical exercises and announcements.

Gyroscopic Motion

Covers rolling kinematics, kinetic energy, and gyroscopic motion in detail.

Moment of Inertia

Explains the concept of moment of inertia in rigid body rotation and torque.

Angular Momentum and Moment of Inertia

Explores angular momentum, moment of inertia, compound moments, and the Steiner theorem.

Mechanics: Rotational Motion

Discusses moment of inertia, angular momentum, and the Atwood machine problem.

Rolling and Review

Covers pure rotation, rolling without slipping, and converting reference frames in physics.

Spectral Theorem Recap

Revisits the spectral theorem for symmetric matrices, emphasizing orthogonally diagonalizable properties and its equivalence with symmetric bilinear forms.

Equilibrium of Forces in 3D

Covers the principles of system equilibrium in 3D and the calculation of resultant forces and couples.