Generalized Coordinates: Constraints, Equilibria, Stability

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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.