Lectures related to Axis–angle representation

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

Physics 1: Normal Acceleration and Spatial Rotations

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

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

Angular Momentum Theorem: Dynamics of Solid

Explores the angular momentum theorem and dynamics of solids with fixed axes, including the physical pendulum and vector components of angular momentum.

Coordinate Systems: Polar, Cylindrical, Spherical

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

Angular Momentum Theorem: Gyroscope Dynamics

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

Kinetic Energy of Solids

Discusses the kinetic energy of solids and the selection of benchmarks and points of affluence.

Rigid Body with Fixed Axis and Gyroscopes

Explores gyroscopes, gyroscopic effects, and the dynamics of spinning objects with fixed axes.

Forces in Articulation: Kinematics and Traumatology

Explores forces in joints, knee kinematics, Euler angles, and gait analysis.

Rolling a Cube: Forces, Equilibrium, and Inertia

Explores the physics of rolling a cube, analyzing forces, equilibrium, and inertia.

Kinematics and Dynamics of Rigid Bodies

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

Isometries & Orientation in Modern Geometry

Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.

Volume of Solids: Applications of Integrals

Covers the calculation of volumes of solids using integrals and provides examples of finding volumes using different functions.

Coordinate Systems: Spherical Coordinates

Covers unit vectors, rotations, and accelerations in spherical coordinates for physics applications.

Angular Momentum and Rotational Dynamics

Explores angular momentum, rotational dynamics, and moment of inertia for solids.

Internal Energy: Mechanics and Thermodynamics

Explores internal energy in mechanics and thermodynamics, focusing on symmetric deformation and intensive quantities.

Any Motion of a Solid

Covers the equations of Euler for the motion of a solid.

Laws of Transformation of Velocities and Accelerations

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

Solid with Fixed Axis

Discusses angular momentum on a fixed axis and moment of forces, with examples like the physical pendulum and free winch.

Angular Momentum Theorem

Covers torque force, angular momentum theorem, gyroscopic effects, and procession of the earth's axis.