Classical mechanics Lecture 4 of 16

September 28, 2012 by Multimedia Publications and Printing Services

Lecturer: M. Fabbrichesi , SISSA

In this lesson the professor finish the derivation of the Lagrangian mechanics formulation from Newton's equations. He start solving some examples using this new methodology as the movement of a free point particle (projectile problem), theĀ Atwood machine (see lesson 2), and a third more complicated problem. Here he left the homework number 1 (Homework.1.1) problems 1.19, 1.21, 1.22 of Chapter 1 of the text book third edition.

A Few Examples

PAUSE THE VIDEO IF YOU NEED EXTRA TIME.
This video shows two uses of Lagrangian formalism; a pendulum on a moving cart and a particle in the electromagnetic field.

Watch how an experiment is made with the Atwood Machine by students

Watch how an experiment is made with the Atwood Machine by students

Atwood's Machine experiment.

This Atwood's machine consists essentially of a wire passing over a pulley with a cylindrical mass attached to each end of the string. The string serves to keep the mass of the string plus wire on each side approximately constant as the system moves, therefore it keeps the accelerating force constant.

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