Course Information
Registration period
Year-round Recruitment
Course Level
Study Mode
Duration
1 Hour(s) 50 Minute(s)
Language
English
Taught by
Susan Tayfe
Rating
Course Overview
An Introductory Course in 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 (or 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. Some example of Lagrangian of classical systems are discussed in this section.
Generalized Forces: This section begins with definition of generalized conservative forces. Then by writing Lagrangian without imposing constraint functions and by applying Lagrange's equations of first kind, you learn how to find constraint forces of a system.
Conservation Laws: in this section you will learn how to find conserved generalized momentum (linear and angular momentum) if there is a cyclic coordinate in Lagrangian (i.e. Lagrangian is not implicit function of a coordinate); and how to find conserved energy of the system if Lagrangian is not a implicit function of time.
Register to this course and enjoy learning Lagrangian mechanics!
Course Content
- 3 section(s)
- 17 lecture(s)
- Section 1 Lagrangian Dynamics
- Section 2 Generalized Forces
- Section 3 Conservation Laws
What You’ll 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).
Skills covered in this course
Reviews
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MMarcelo Lessa Duarte
De fato, era o que eu esperava: uma ordem de apresentação do conteúdo em que eu pudesse entender a aplicação do método Lagrangiano e os conceitos ligados a ele. Só não classifiquei como "Incrível, acima das experctativas" porque não há uma lista de exercícios com nível crescente de dificuldade.
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JJoseph H May
Good needs more breakdown but good
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LLuca Bicego
There is no transcription. It is difficult sometimes to understnad what the teacher says and the explanations are very poor. There are no examples.
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JJhon Ren Lipata
The lecturer is very monotonous but the whole course is good!
