Cylindrical and Spherical Coordinates

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Page 3 of 4

Explores rotations in solid mechanics, from two-dimensional to three-dimensional scenarios, emphasizing small angles and different coordinate systems.

Coordinate Change: Polar and Spherical Coordinates

Covers coordinate changes, focusing on polar and spherical coordinates and their transformations, determinants, and invertibility.

Coordinate Change: Chapter 4

Explores coordinate changes between polar and Cartesian coordinates, and introduces the spherical coordinate system.

Cinématique: cylindrical coordinates

Introduces cylindrical coordinates in kinematics for specific movements or symmetries.

Motion Analysis: Cartesian and Polar Coordinates

Covers the analysis of motion using Cartesian and polar coordinates, focusing on kinematics and acceleration components.

Pedagogical Training: Mechanics of Point Particles on Curved Surfaces

Explores the physics of a point particle sliding on a curved surface without friction, focusing on differential equations, forces, and dynamics.

Circular Motion: Position and Velocity

Covers circular motion, position, velocity, and acceleration in different coordinates systems, solving related problems.

Christoffel Symbols and Gravity Before Einstein

Introduces Christoffel symbols and gravity concepts before Einstein, discussing mathematical tensors and the Nobel Prize in Physics.

Mechanics: Geometric Constraints and Equilibrium Points

Explores generalized coordinates, constraints, equilibrium points, and stability in mechanics using elegant polar coordinates.

Coordinate Changes: Spherical System

Explores differentiability, coordinate changes, Jacobian determinant, gradient transformation, and chain rule.