Covers pure rotation, rolling without slipping, and converting reference frames in physics.
Revisits the spectral theorem for symmetric matrices, emphasizing orthogonally diagonalizable properties and its equivalence with symmetric bilinear forms.
Explains the concept of the instantaneous center of rotation in solid mechanics and how to determine it based on known speeds of points.
Explores rotation in two dimensions, covering vector products, angular momentum, and kinetic energy of solids.
Explores rotation in 3D space, calculating matrices using roll, pitch, and yaw angles.
Covers pure rotation, rolling without slipping, pendulum motion, and continuous systems.
