Lagrangian Mechanics

Lagrangian Mechanics, available at $34.99, has an average rating of 3.8, with 15 lectures, based on 16 reviews, and has 91 subscribers.

You will learn about Writting Lagrangian (Lagrange function) of a mechanical system in a generalized coordinate system, and transforming it to a function of independent coordinates. Writting Euler-Lagrange equations (Lagrange's equations of second kind) using Lagrange function of independent coordinates, and finding equations of motion. Writting Lagrange's equations of first kind using Lagrange function of both dependent and independent coordinates, and finding forces of constraint. Finding conserved generalized momentums (corresponing to the cyclic coordinates), and conserved energy (if Lagrangian is not a implicit function of time). This course is ideal for individuals who are Undergraduate Students or Anyone who wants to learn Lagrangian Mechanics. It is particularly useful for Undergraduate Students or Anyone who wants to learn Lagrangian Mechanics.

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Summary

Title: Lagrangian Mechanics

Price: $34.99

Average Rating: 3.8

Number of Lectures: 15

Number of Published Lectures: 15

Number of Curriculum Items: 15

Number of Published Curriculum Objects: 15

Original Price: $19.99

Quality Status: approved

Status: Live

What You Will Learn

Writting Lagrangian (Lagrange function) of a mechanical system in a generalized coordinate system, and transforming it to a function of independent coordinates.
Writting Euler-Lagrange equations (Lagrange's equations of second kind) using Lagrange function of independent coordinates, and finding equations of motion.
Writting Lagrange's equations of first kind using Lagrange function of both dependent and independent coordinates, and finding forces of constraint.
Finding conserved generalized momentums (corresponing to the cyclic coordinates), and conserved energy (if Lagrangian is not a implicit function of time).

Who Should Attend

Undergraduate Students
Anyone who wants to learn Lagrangian Mechanics.

Target Audiences

Undergraduate Students
Anyone who wants to learn Lagrangian Mechanics.

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 physical quantities. When applied to the classical systems, Lagrangian mechanics is equivalent to the Newtonian mechanics, but more easier than Newtonian mechanics, especially when you are dealing with more complicated systems.

This course is made of three sections:

Lagrangian Dynamics: this section begins with writing Lagrangian (Lagrange function) of a system in a generalized coordinates in terms of independent coordinates, by finding constraint functions and number of degrees of freedom of the system. You will learn how to apply Euler-Lagrange equations (Lagrange’s equations of the second kind) to the independent coordinates and find the equations of motion of the system. Lagrangian of classical systems is discussed along with three examples.
Generalized Forces: This section begins with definition of generalized conservative forces. Then by writing Lagrangian without imposing constraint functions and by applying Euler-Lagrange equations of first kind, you learn how to find constraint forces of a system.
Conservation Laws: in this section you learn how to find conserved generalized momentum (both linear and angular) if there is a cyclic coordinate in Lagrangian; and how to find conserved energy of the system if Lagrangian is independent of time.

Course Curriculum

Chapter 1: Lagrangian Dynamics

Lecture 1: Lagrange Function

Lecture 2: The Least Action Principle (Hamilton Principle)

Lecture 3: Euler-Lagrange Equations

Lecture 4: Lagrangian in Classical Mechanics

Lecture 5: Perfectly Elastic Spring

Lecture 6: Simple Pendulum

Lecture 7: Double Pendulum

Lecture 8: Moving Plane

Chapter 2: Generalized Forces

Lecture 1: Conservative Forces

Lecture 2: Forces of Constraint

Lecture 3: Atwood Machine

Chapter 3: Conservation Laws

Lecture 1: Cyclic Coordinates and Conservation Law of Momentum

Lecture 2: Conservation Law of Energy

Lecture 3: Conservation Law of Energy for Classical Systems

Lecture 4: Projectile Motion

Instructors

Susan Tayfe
Assignment Help Expert

Rating Distribution

1 stars: 1 votes
2 stars: 1 votes
3 stars: 5 votes
4 stars: 4 votes
5 stars: 5 votes

Frequently Asked Questions

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