Lagrangian Mechanics

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Related lectures (29)

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Virtual Work Principles: Energy and Mechanics

Covers work, potential energy, and the principle of virtual work in structural mechanics.

Shocks and Solid Bodies

Explores the bounce of two balls, an oscillating rolling cylinder, and the ballistic pendulum concept in solid body physics.

Potential Energy, Mechanical Energy, and Resonance

Explores potential energy, mechanical energy, and resonance in mechanical systems, including equilibrium, stability, and energy transformation.

Molecular dynamics under constraints

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

Tensioner of a Rotating Drum: Vibratory Mechanics

Analyzes a tensioner system for a rotating drum using Lagrange equations.

Lagrange I: Conservation Laws and Kinetic Energy

Explores Lagrangian mechanics, conservation laws, and kinetic energy in generalized coordinates.

Conservation of Mechanical Energy

Explores the conservation of mechanical energy and its application in solving physics problems involving work, stability, and energy transformations.

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.

Potential Energy and Conservation of Energy

Explores potential energy, energy conservation, power, force, and energy diagrams, emphasizing the conservation of mechanical energy and tension in a pendulum.