Lectures related to Rotation formalisms in three dimensions

Covers the concept of vector rotation in kinematics and the derivative of a vector with constant norm.

Covers the effect of the Earth's rotation on ballistics and projectile trajectories.

Analyzes angular speed of rotation, internal forces, vectors, and system transformation in a solid.

Covers 3D rotations, quaternions, and matrices of direction cosines, providing an elegant solution to the limitations of rotation matrices.

Explores changing bases for rotations, orthogonal planes, and vector transformations under rotation.

Explores the analysis of motion in solid mechanics, covering velocity, acceleration, and kinematics of solid bodies.

Covers the laws of transformation of speeds and accelerations, including the rotation of points and dynamic movement principles.

Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.

Covers the quantization of spin in Quantum Field Theory, focusing on induced representations and unitary irreps.

Covers angular momentum in rotations, including preservation of angles and vector products.

Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.

Covers velocity, acceleration, dynamics, moments of inertia, and kinetic energy storage systems.

Covers the concept of rotation, modification, quantity, inertia, and conservation of angular momentum in solid bodies.

Explores symmetries in Newtonian mechanics and wave equations, highlighting their significance in understanding physical laws.

Explores rotation in analytical geometry, including center coordinates and fixed points.

Explores the concept of curl in 2D vector fields and its practical applications.

Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.

Covers the composition of geometric transformations in 2D, focusing on rotations and reflections to achieve specific results.

Explores kinematics and dynamics of rigid bodies, including Euler angles and moment of inertia.

Explores gyroscopic effects, conservation of moment, and dynamics of solid bodies, including inertia tensors and angular momentum.