Lectures related to Methodology of Mechanics

Trajectory Determination in Mechanics

Explains trajectory determination in mechanics, including types of trajectories and effective potential, with practical examples.

General Physics I: Mechanics

Covers laws of dynamics, coordinates, applications of Newton's laws, work, energy, collisions, central motion, Kepler's laws, and mathematical modeling in physics.

Classical and Quantum Mechanics: Foundations and Applications

Explores classical and quantum mechanics, covering observables, momentum, Hamiltonian, and the Schrödinger equation, as well as quantum chemistry and the Schrödinger's cat experiment.

Scalars and Vectors: Basics of Mechanics

Introduces scalar and vector quantities, Newton's laws applications, work, energy, and modeling physical systems.

General Physics I: Mechanics

Covers moment of inertia, angular momentum, and kinetic energy in rotational motion.

Analytical Mechanics: Newton's Three Laws

Introduces the mathematical approach to analytical mechanics, emphasizing Newton's three laws for a complete description of phenomena.

Angular Momentum: Generators and Operators

Covers angular momentum generators, operators, and finite rotations in quantum mechanics.

General Physics I: Mechanics

Introduces fundamental concepts of general physics, focusing on mechanics and problem-solving skills.

Mechanics: System of Point Masses

Introduces mechanics concepts for systems of point masses, including moment of forces and kinetic energy conservation.

Continuum Mechanics: Fundamentals and Applications

Explores Continuum Mechanics, focusing on the continuum hypothesis and its practical applications in engineering and physical sciences.

Introduction to Mechanics: Concepts and Applications

Covers fundamental mechanics concepts, emphasizing the application of Newton's laws and the importance of choosing the right reference frame for describing motion.

Mechanics: Introduction and Calculus Log in to Mediaspace to watch this video

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Conservation Laws: General Framework Log in to Mediaspace to watch this video

Covers the fundamental conservation laws and properties of space and time beyond mechanics.

3D Linear Elasticity & Beams Log in to Mediaspace to watch this video

Introduces 3D linear elasticity, beams, dimensional analysis, and mechanics of slender structures.

Linear Momentum Balance in Continuum Mechanics Log in to Mediaspace to watch this video

Covers the evaluation of linear momentum balance in continua, focusing on stress vectors and tensors, and deriving the governing equations for momentum conservation.

Introduction to Continuum Mechanics Log in to Mediaspace to watch this video

Covers scaling, mathematical modeling, tensor notation, and Python exercises in Jupyter notebooks.

Symmetries in Mechanics and Wave Equations Log in to Mediaspace to watch this video

Explores symmetries in Newtonian mechanics and wave equations, highlighting their significance in understanding physical laws.

Physics 101: Introduction to Mechanics Log in to Mediaspace to watch this video

Introduces students to the physics course structure, emphasizing the importance of attending exercises and using mathematical tools for motion description.

Mechanics of Slender Structures: Final Review and Overview Log in to Mediaspace to watch this video

Covers the main learning objectives of ME-411, focusing on dimensional analysis, scalings, and mechanical elements.

Quantum Mechanics: Mathematical Framework Log in to Mediaspace to watch this video

Introduces the need for a mathematical framework to describe linear operators on infinite-dimensional Hilbert spaces in quantum mechanics.