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Quaternions and spatial rotation
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Classical mechanics
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Rotations (2D): Definitions and Analytical Expressions
Covers the concept of 2D rotations and their analytical expressions.
Physics 1: Normal Acceleration and Spatial Rotations
Explores normal acceleration, spatial rotations, vector rotation, and angular speed concepts in physics.
Hamiltonian Formalism: Conservation Laws
Explores the Hamiltonian formalism, conservation laws, preserved quantities, and differential equations in classical physics.
Analytical Geometry: Rotation and Center
Explores rotation in analytical geometry, including center coordinates and fixed points.
Advanced Physics I
Covers velocity, acceleration, dynamics, moments of inertia, and kinetic energy storage systems.
Small Rotations and Angles
Explores small rotations, angles, and skew-symmetric matrices in mathematical transformations.
Rotation Dynamics: Gyroscopic Effects
Explores rotation dynamics, gyroscopic effects, and symmetry axes in advanced physics.
Curl in 2D: Understanding Vector Field Rotation
Explores the concept of curl in 2D vector fields and its practical applications.
Scalar Products in 2D and 3D Geometry
Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.
Coordinate Systems: Cylindrical, Spherical, Rotations
Covers cylindrical and spherical coordinates, position, velocity, and acceleration vectors.