Lectures related to Generalized Coordinates: Constraints, Equilibria, Stability

Mechanics: Geometric Constraints and Equilibrium Points

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

General Physics: Mechanics for SIE and GC

Covers constraints, equilibrium points, and stability in mechanics using examples like pendulums.

Mechanics: Equilibrium Points and Stability

Explores equilibrium points and stability in mechanical systems, analyzing how systems return to or move away from their positions after disturbances.

Simple Pendulum: Constraints and Equations of Motion

Explores the analysis of a simple pendulum, discussing constraints, forces, and equilibrium points.

Equilibrium Points and Stability

Explores equilibrium points and stability in mechanical systems with multiple degrees of freedom.

Molecular dynamics under constraints

Explores molecular dynamics simulations under holonomic constraints, focusing on numerical integration and algorithm formulation.

Central Motion: Forces and Kinetics

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

Newton's Laws: Harmonic Oscillator

Covers the application of Newton's laws to harmonic oscillators with damping.

General Physics: Mechanics

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

Forced Harmonic Oscillator: Resonance Phenomenon

Covers the forced and damped harmonic oscillator, including the harmonic solution and resonance phenomenon.

Physics 1: Harmonic Oscillator and Spherical Coordinates

Explores harmonic oscillators, pendulum movement, and spherical coordinates in physics.

Trajectory Determination in Mechanics

Explains trajectory determination in mechanics, including types of trajectories and effective potential, with practical examples.

Coordinate Systems: Polar, Cylindrical, Spherical

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

Equations of Motion and Stability

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

Coordinate Systems: Polar, Cylindrical, and Spherical

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

Mechanics: Work, Power, Energy, Equilibrium

Covers the concepts of work, power, energy, equilibrium, and stability in mechanics.

Mechanics: Springs and Coordinates

Explores spring problems, Poisson's formula, and generalized coordinates in physics.

Ellipses in Mechanics

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

Projectile Motion: Frictional Effects

Discusses projectile motion with friction and systems with inclined planes and pulleys.

Simple Pendulum and Harmonic Oscillator

Explores the dynamics of a simple pendulum and harmonic oscillator, including Hooke's Law and equations of motion.