# Welcome to classical mechanics course¶

This page is dedicated to the course of classical mechanics taught at the university department of mathematics, Tilka Manjhi Bhagalpur University, Bhagalpur.

## Syllabus¶

- Generalized coordinate
- Method of virtual work
- D'Alemberts principle
- Lagrange equation of motion
- Genralized momentum
- Calculus of Variation
- Hamilton's principle
- Hamilton's equation of motion
- Phase space

## Objectives¶

The course classical mechanics focussed on the study of new formalism of Newtonian mechanics given by Lagrange and Hamlton. Lagrange found that the motion can be derived in any coordinate system, while Hamilton give a principle which describes the motion of all classical mechanics in one line. Hamilton's principle is turn out to be extended in other areas of physics like electrodynamics and quantum mechanics.

- Identify degree of freedom
- Setup a generalized coordinate
- Represent the position, velocity, etc., in terms of generalized coordinate
- Esteblish Lagrange equation of motion
- Importance of Hamilton's principle
- Identify genralized momentum and cyclic coordinate
- Find Hamilton's equation of motion

## References¶

- Classical Mechanics by Gregory(Chapters 11, 12 and 13)
- Classical Mechanics by Goldstein

## Routine¶

Weekday | 1^{st} Period |
2^{nd} Period |
3^{rd} Period |
4^{th} Period |
5^{th} Period |
---|---|---|---|---|---|

MON | CM | ||||

TUE | CM | ||||

WED | CM | ||||

THR | CM | ||||

FRI | CM | ||||

SAT | CM |

## Instructor¶

Sandeep Suman, Assistant Professor, TMBU, Bhagalpur