Central Motion: Trajectories and Energy

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Coordinate Systems: Polar, Cylindrical, Spherical

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

Material Point Model: Basics

Covers the material point model, initial conditions, and Newton's laws in physics.

Ellipses in Mechanics

Explains ellipses in Cartesian and polar coordinates, focusing on geometric locus and trajectory parameters using mechanical energy and angular momentum constants.

General Physics: Mechanics

Covers mechanics concepts in different coordinate systems, explaining position, velocity, and acceleration vectors.

Central Motion: Angular Momentum and Kinetic Moment

Explores central motion, focusing on moment of force, kinetic moment, and properties of motion, including the formula of Binet and historical vs. modern approaches.

Central Force Dynamics

Explores central force dynamics, conservation laws, and conic sections properties.

Trajectories and Motion Equations

Covers trajectories, motion equations, velocity properties, acceleration components, and integration of motion equations.

Equations of Motion and Stability

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

Central Motion: Forces and Kinetics

Explores the moment of a force, angular momentum, and central motion, including historical perspectives and mathematical representations.

Ellipses in Mechanics

Explores the properties of ellipses in mechanics, including their equations, loci, and parameter determination using constants of motion.