The Lagrangian Function: Analytical Mechanics Mini-Course #2 | ZC OCW

The pre-defined concept of the free particle is used to discuss the properties of the Lagrangian function of a dynamical system containing a free particle, and the derivation of Newton's first law using Euler-Lagrange’s equation is also introduced. Then, the closed system is defined to derive the Lagrangian function of a dynamical system containing more than one particle (interacting and non-interacting systems). Timeline: 00:00 Introduction & Course details 03:49 Brief introduction about Lagrangian function 05:45 Lagrangian function for a free particle 43:37 Equation of motion for a free particle 51:28 Discussing some problems 55:42 Lagrangian function for a non-interacting & multi-particle dynamical system 1:10:12 Lagrangian function for an interacting & multi-particle dynamical system 1:48:18 Lagrangian function for a restricted particle 1:59:15 Discussing some problems About this course (Analytical mechanics mini-course): Instructor: Dr. Ahmed Aamer, Faculty of Science, Cairo University. For course details, check the course playlist here:    • CFP Summer School - Analytical Mechanics M...   About ZC OCW: Zewail City OpenCourseWare (ZC OCW) is a project that aims to enable public access to university-level courses delivered at the University of Science and Technology in Zewail City, Egypt. For more updates about us, check our Facebook page:   / zcocw   For more courses, check our YouTube channel:    / zcocw