Coordinate Systems: Transformations and Applications

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Related lectures (30)

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Coordinate Systems: Polar, Cylindrical, and Spherical

Explains polar, cylindrical, and spherical coordinates in physics, emphasizing their advantages in simplifying motion analysis.

Intersection of 2 Cylinders

Explores the intersection of two cylinders in cylindrical coordinates and the concept of bijectivity.

Laplacian in Polar and Spherical Coordinates: Derivatives

Covers the Laplacian operator in polar and spherical coordinates, focusing on derivatives and integral calculations.

Polar Coordinates: Position and Velocity

Explores polar coordinates, position, velocity, and acceleration vectors in Cartesian and polar systems, including cylindrical and spherical coordinates.

Coordinate Systems: Polar and Spherical

Covers polar and spherical coordinate systems, position vectors, equations of motion, and Frenet frame concepts.

Equations of Motion and Stability

Explores equations of motion resolution, equilibrium points, and stability analysis through small perturbations in a mechanical system.

Circular motion: Friction and Newton's Laws

Explores circular motion, friction, and Newton's laws in various coordinate systems.

Special Relativity

Covers the main points of special relativity, including symmetries, transformations, 4-vectors, Maxwell equations, and proper time.

Kinematics: Position, Velocity, Acceleration

Covers the fundamental concepts of kinematics, including position, velocity, and acceleration in different coordinate systems.

Laplacian Operator in Cartesian and Polar Coordinates

Explores the Laplacian operator in Cartesian and polar coordinates, showcasing its application through examples.