Constraints and Lagrange Formalism

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Related lectures (28)

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Lagrange's Approach: Dynamics and Constraints

Explores Lagrange's approach to dynamics, emphasizing compatibility with constraints and the significance of generalized coordinates.

Lagrange Method

Covers the Lagrange method for expressing constraints and degrees of freedom in mechanics using generalized coordinates.

Constraints in Molecular Dynamics: Theory and SHAKE Algorithm

Explores the theory of constraints in molecular dynamics simulations, including the SHAKE algorithm.

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.

Constraints in Molecular Dynamics: Introduction

Discusses the importance of freezing fast vibrations in Molecular Dynamics simulations to follow physical phenomena over longer timescales.

Mechanics: Springs and Coordinates

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

Variational Calculus and Least Action Principle

Covers the principle of least action and variational calculus in discovering equations of motion.

Optimization: Constrained Volume Problems

Explores constrained volume problems using Lagrange multipliers to find extrema under constraints in various examples.

Lagrange's Method in Mechanics

Covers Lagrange's method in mechanics, focusing on handling constraints and deriving equations of motion.