Isometries in Euclidean SpacesExplores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.
Instantaneous Center of RotationExplains the concept of the instantaneous center of rotation in solid mechanics and how to determine it based on known speeds of points.
Rotation in MathematicsCovers rotation matrices and transformations in mathematics, providing examples of rotating vectors in different dimensions.
Rotation in Two DimensionsExplores rotation in two dimensions, covering vector product, moment of a force, statics, and kinetic energy theorems, with practical examples.
Analytical Study of SpaceExplores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.
Mechanical Motion of ConesExplores the advanced physics of cone motion, including rotation, rolling without slipping, and vector decomposition.
Rigid Body Dynamics: Center of MassExplores the dynamics of rigid bodies, emphasizing the concept of the center of mass and its applications in equilibrium and rotational motion.
