Lectures related to Generalized coordinates

Generalized Forces: Modeling and Examples

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

Molecular dynamics under constraints

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

Mechanics: Geometric Constraints and Equilibrium Points

Explores generalized coordinates, constraints, equilibrium points, and stability in mechanics using elegant polar coordinates.

Constraints and Lagrange

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

Lagrange I: Conservation Laws and Kinetic Energy

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

Analytical Study of Space

Covers the analytical study of space, focusing on points, lines, and planes.

Physics 1: Harmonic Oscillator and Spherical Coordinates

Explores harmonic oscillators, pendulum movement, and spherical coordinates in physics.

Constraints and Lagrange

Introduces constraints, Lagrange multipliers, and generalized coordinates in physics.

General Physics: Mechanics

Covers mechanics concepts in different coordinate systems, explaining position, velocity, and acceleration vectors.

Generalized Coordinates: Constraints, Equilibria, Stability

Covers generalized coordinates, constraints, degrees of freedom, and equilibrium points in mechanics.

Mechanics: Springs and Coordinates

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

Constraints and Lagrange Formalism

Covers constraints in physics, degrees of freedom, and Lagrange formalism with a focus on mathematical representations.

Dynamics of Pendulum: Equilibrium and Kinetic Energy

Explores the dynamics of a pendulum, emphasizing equilibrium conditions and kinetic energy calculations for different points.

Analytical Geometry: Coordinates and Midpoints

Covers coordinates, midpoints, and abscissa in analytical geometry, providing practical problem-solving examples.

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.

Introduction to Structural Mechanics

Introduces structural mechanics concepts like distributed loads, centroids, and equilibrium in 2D and 3D.

Two-Body Problem: Center of Mass and Forces

Discusses the two-body problem, center of mass, forces, and Newton's laws.

Polar Coordinates: Position and Velocity

Explores polar coordinates, position, velocity, and acceleration vectors in Cartesian and polar systems, including cylindrical and spherical coordinates.

Rotating Vectors in Physics 1

Explores rotating vectors in physics, emphasizing the norm-angular speed relationship and various coordinate systems.

Virtual Work in Structural Mechanics

Explores virtual work in structural mechanics, emphasizing equilibrium states and the application of virtual displacements.