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Lecture
Spherical Coordinates: Integration and Change of Variables
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Cinématique: coordonnées sphériques
Covers kinematics and spherical coordinates, including position, velocity, and acceleration.
Change of Variables: Examples
Explores examples of applying the change of variable formula to simplify integrals over different regions.
Coordinate Systems: Polar, Cylindrical, and Spherical
Explains polar, cylindrical, and spherical coordinates in physics, emphasizing their advantages in simplifying motion analysis.
Gravity and Barycenter: Definitions and Applications
Explores the definitions and properties of gravity and barycenter, including bounded regions and coordinate transformations.
Coordinate Systems: Polar, Cylindrical, Spherical
Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.
Coordinate Systems: Cylindrical, Spherical, Rotations
Covers cylindrical and spherical coordinates, position, velocity, and acceleration vectors.
Rotations: Fixed Points and Spherical Coordinates
Covers rotations around fixed points and spherical coordinates, discussing cinematic moments and angular velocity.
Coordinate Transformations: Polar and Spherical Coordinates
Covers examples of coordinate transformations, focusing on polar and spherical coordinates.
Coordinate Systems: Cylindrical and Spherical
Covers cylindrical and spherical coordinate systems and their applications in 3D space.
Circular motion: Concepts and Calculations
Explores circular motion concepts, centripetal force, velocity, and acceleration in different coordinate systems, with a focus on auto racing and Formula 1 tire physics.