Mechanics: Geometric Constraints and Equilibrium Points

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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.

Generalized Coordinates: Constraints, Equilibria, Stability

Covers generalized coordinates, constraints, degrees of freedom, and equilibrium points in mechanics.

Simple Pendulum: Constraints and Equations of Motion

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

General Physics: Mechanics for SIE and GC

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

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.

Friction Models: Dry and Viscous

Explores dry and viscous friction models, Hooke's law, problem-solving strategies, and ballistic motion examples.

Equilibrium Points and Stability

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

Equations of Motion and Stability

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