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MOOC

Lagrangian Mechanics

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Lectures in this MOOC (12)

Lagrange Method MOOC: Lagrangian Mechanics

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

Discrete Vibratory Systems: Linear Analysis MOOC: Lagrangian Mechanics

Analyzes discrete vibratory systems with linear dynamics and proper coordinates for symmetric real matrices.

Parametric Resonance: Standard Base MOOC: Lagrangian Mechanics

Covers parametric resonance, standard base, linearly independent solutions, and periodic functions in mechanics.

Coupled Pendulums: Lagrange Mechanics MOOC: Lagrangian Mechanics

Covers the Lagrange mechanics of coupled pendulums and their equations of motion.

Symmetries and Conservations MOOC: Lagrangian Mechanics

Explores generalized momentum, cyclic variables, symmetries, and conservation principles in mechanics, including Noether's theorem and mechanical energy conservation.

Parametric Pendulum: Equations and Solutions MOOC: Lagrangian Mechanics

Analyzes a parametric pendulum using Lagrange method, Mathieu equation, and Ince method to find solutions.

Lagrange Method: Applications MOOC: Lagrangian Mechanics

Covers rectilinear motion, conservative force, angular momentum, and rolling cylinder without slipping.

Experiments, Holonomic Constraints MOOC: Lagrangian Mechanics

Covers time-independent and time-dependent constraints in mechanics, balance, small oscillations, Lagrange method, kinetic energy, equilibrium, and stability.

Principle of Least Action MOOC: Lagrangian Mechanics

Covers the principle of least action in mechanics and stress forces application.

Coupled Pendulums: Beats MOOC: Lagrangian Mechanics

Covers the concept of coupled pendulums and the phenomenon of beats.

Parametric Resonance: Pendulum Examples MOOC: Lagrangian Mechanics

Explores parametric resonances through two pendulum examples, covering stability zones and effects of friction.

Minimization Principle: Experiments MOOC: Lagrangian Mechanics

Explores experimental examples where different shapes minimize specific properties.

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