Lagrangian Mechanics
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# Lagrangian Mechanics

An Introductory Course in Lagrangian Mechanics
New
0.0 (0 ratings)
0 students enrolled
Created by S T Bagheri
Last updated 8/2017
English
Price: \$20
30-Day Money-Back Guarantee
Includes:
• 35 mins on-demand video
• 1 Article
• 14 Supplemental Resources
• Access on mobile and TV
• Certificate of Completion
What Will I Learn?
• At the end of the course, students will be able to apply Lagrangian Mechanics to the Classical Systems and find their physical quantities and equations of motion.
View Curriculum
Requirements
• Newtonian Mechanics
• Calculus
Description

This is an introductory course in Lagrangian mechanics provided for college students and anyone who is familiar with Newtonian mechanics and calculus.

In this course you will learn how to apply Lagrangian mechanics to the classical systems and find their equations of motion and their physical quantities. When applied to the classical systems, Lagrangian mechanics is equivalent to the Newtonian mechanics, but more easier than it, especially when you are dealing with more complicated systems.

Register to this course and enjoy learning Lagrangian mechanics!

Who is the target audience?
• Anyone who wants to learn Lagrangian Mechanics.
Compare to Other Physics Courses
Curriculum For This Course
15 Lectures
35:10
+
Introduction
1 Lecture 00:21
Introduction
00:21
+
Lagrangian Dynamics
7 Lectures 18:23

In this lecture Lagrangian is introduced and is written in the generalized coordinate system.

Preview 03:36

Preview 00:46

In this lecture Euler-Lagrange equations (or Lagrange equations of second kind) which are derived from the Least Action Principle, are introduced without proof.

Euler-Lagrange Equations
00:48

In this lecture you will learn how to write Lagrangian of the classical system and find forces and momentums of the system from its Lagrangian.

Preview 02:04

In this lecture, you will learn how to apply Lagrangian formalism to the perfectly elastic spring and find its equation of motion.

Perfectly Elastic Spring
02:38

In this lecture, you will learn how to apply Lagrangian formalism to the simple pendulum and find its equation of motion.

Preview 03:47

In this lecture, you will learn how to apply Lagrangian formalism to the double pendulum and find its equations of motion.

Double Pendulum
04:44
+
Generalized Forces
3 Lectures 09:36

In this lecture you will learn how to find conservative forces from Lagrangian.

Conservative Forces
01:19

In this lecture you will learn how to use Lagrange equations of first kind, and find constraint forces.

Forces of Constraint
02:21

In this lecture you will learn how to apply Lagrange equations of first kind to the Atwood machine, and find its constraint force (tension) along with its equation of motion and conservative force.

Atwood Machine
05:56
+
Conservation Laws
4 Lectures 06:49

In this lecture you will learn how to identify the cyclic coordinate in Lagrangian, and find its corresponding momentum (that is conserved).

Cyclic Coordinates and Conservation Law of Momentum
01:11

Conservation Law of Energy
01:42

Conservation Law of Energy for Classical Systems
01:32

In this lecture, you will find conserved momentum and energy of the projectile.

Projectile Motion
02:24