Lagrangian mechanics

Related lectures (31)

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Covers constraints, Lagrange equations, generalized coordinates, cyclic coordinates, conservation laws, and Hamilton formalism.

Covers the principle of least action, Euler-Lagrange equations, Lagrange multipliers, and variational calculus.

Covers modeling systems with Lagrange formalism and examples of generalized forces in aerodynamics and drone propellers.

Covers the Lagrangian formulation of electrodynamics and relativistic particle mechanics.

Covers the convergence and conditions for optimal control.

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

Explores Lagrangian mechanics, symmetries, conservation laws, and the Hamiltonian concept.

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

Explores the concept of bulky Hamiltonian isotopies of Lagrangian tori.

Covers the derivation and application of Euler-Lagrange equations for optimization problems in mathematical analysis.