Lectures related to Equations of Motion and Stability

Central Motion: Trajectories and Energy

Explores central motion properties, energy conservation, and trajectory parameter determination based on mechanical energy and angular momentum.

Simple Pendulum: Constraints and Equations of Motion

Explores the analysis of a simple pendulum, discussing constraints, forces, and equilibrium points.

Coordinate Systems: Polar, Cylindrical, Spherical

Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.

General Physics: Mechanics

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

Material Point Model: Basics

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

Mechanics: Geometric Constraints and Equilibrium Points

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

Newton's Laws: Harmonic Oscillator

Covers the application of Newton's laws to harmonic oscillators with damping.

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.

Projectile Motion: Friction Effects

Explores projectile motion with friction effects and dynamics of polar expeditions.

Physics 1: Harmonic Oscillator and Spherical Coordinates

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

Newton's Laws: Inertia and Motion

Covers Newton's first and second laws, inertia, force, momentum, and action-reaction principle in mechanics.

Central Motion: Forces and Kinetics

Explores the moment of a force, angular momentum, and central motion, including historical perspectives and mathematical representations.

Simple Pendulum and Harmonic Oscillator

Explores the dynamics of a simple pendulum and harmonic oscillator, including Hooke's Law and equations of motion.

Newton's Laws: Motion and Interaction

Explores Newton's laws of motion, inertia, force, momentum, and action-reaction principle, with practical examples.

Mechanics of Springs

Covers the mechanics of springs, analyzing forces and elongations in connected springs.

Geometric Constraints and Equilibrium in Mechanics

Delves into geometric constraints and equilibrium in mechanics using a hemispherical slide as an example.

Circular motion: Friction and Newton's Laws

Explores circular motion, friction, and Newton's laws in various coordinate systems.

Molecular dynamics under constraints

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

Generalized Coordinates: Constraints, Equilibria, Stability

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

Ballistics and Forces Equilibrium

Explores ballistics, forces equilibrium, and Newton's laws with practical examples and problem-solving strategies.