Rotation: Attitude and Orientation

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Physics 1: Normal Acceleration and Spatial Rotations

Explores normal acceleration, spatial rotations, vector rotation, and angular speed concepts in physics.

Inertia Tensor: Main Axes and Principal Moments

Explains the inertia tensor, main axes, principal moments, and balancing of rotating solids.

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.

Angular Momentum Theorem: Gyroscope Dynamics

Explores the angular momentum theorem in gyroscope dynamics and symmetrical motion.

Instantaneous Center of Rotation

Explains the concept of the instantaneous center of rotation in solid mechanics and how to determine it based on known speeds of points.

Dynamics of Spin in Time-Dependent Magnetic Field

Covers the dynamics of spin in a time-dependent magnetic field and the impact of time-independent fields on spin dynamics.

Quantum Information: Rabi Oscillations

Explores Rabi oscillations in quantum information, focusing on spin dynamics and Hamiltonian evolution.

Rotation in Two Dimensions

Explores rotation in two dimensions, covering vector products, angular momentum, and kinetic energy of solids.

Orthogonal Matrices, Equivalences

Explores the equivalence conditions for orthogonal matrices and includes examples of rotations.