Lectures related to Simple Pendulum Dynamics

Covers pure rotation, rolling without slipping, and converting reference frames in physics.

Explores the one-dimensional harmonic oscillator, equilibrium positions, and forced oscillators with external forces.

Hamiltonian Formalism: Conservation Laws

Explores the Hamiltonian formalism, conservation laws, preserved quantities, and differential equations in classical physics.

Material Point Model: Basics

Covers the material point model, initial conditions, and Newton's laws in physics.

Circular Motion and Harmonic Oscillator

Explores circular motion, harmonic oscillators, and double springs, elucidating the physics principles behind them.

Differential Equations: Initial Conditions and Solutions

Covers the solution of differential equations with initial conditions and limit analysis.

Canonical Transformations: Existence and Equations

Explores canonical transformations, focusing on existence, equations, simplicity, and differential equations' theory.

Dynamics of Rigid Bodies

Introduces cylindrical coordinates, forces in rigid bodies, and pendulum motion analysis, emphasizing constraints and dynamic forces.

Path Integral Representation of Propagators

Covers the path integral representation of propagators for free particles and harmonic oscillators.

Kinetic Energy of Rotating Discs and Bars

Covers kinetic energy, motion equations, and modeling of rotating discs and bars.

Differential Equations: Speed Variation Analysis

Covers the analysis of speed variation using differential equations and small time intervals.

Cinetic Moment in Solid Mechanics

Covers moment of inertia, constraints, equations of motion, and solid body rotation.

Dynamics of Simple Pendulum and Lorenz Equations

Explores the dynamics of a simple pendulum and the intriguing Lorenz equations, highlighting sensitivity to initial conditions and the transition to chaos.

Oscillations libres, ressort

Explores free undamped oscillations in a harmonic oscillator and their graphical representation over time.

Canonical Transformations: Hamilton-Jacobi Equation

Explores canonical transformations, the Hamilton-Jacobi equation, symplectic groups, and differential equations in physics.

Physics Mini-Test: Trajectory Analysis

Explores the analysis of a ball's trajectory in contact with a beam, focusing on forces, angles, and motion equations.

Numerical Analysis: Stability in ODEs

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Gyroscopes and Harmonic Motion

Explores gyroscopes, harmonic motion, energy of oscillation, and differential equations for oscillatory systems.

Law of Hooke Applications: Spring Problems

Explores the application of the law of Hooke to spring problems and solving equations of motion for block-spring systems.

Separable Differential Equations

Covers separable differential equations of order 1, defining separable equations and providing examples.