Week 3 Derivation of Lagrange equation from Hamilton’s principle
D.T. Greenwood. Classical Dynamics. (Prentice-Hall, Inc. 1965)
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Course Material
- Week 1 Generalized coordinates, Constraints, Degree of freedom
- Week 2 non-Holonomic systems, Hamilton’s Holonomic and principle,
- Week 3 Derivation of Lagrange equation from Hamilton’s principle
- Week 4 Derivation of Hamilton’s equation from a variational principle
- Week 5 Equations of Gauge transformation,
- Week 6 Examples of canonical transformations Orthogonal point transformations, The principle of least action
- Week 7 Applications of Hamilton’s equation to central force problems Applications to Hamiltonian formulism,
- Week 8 Lagrange bracket and Poisson brackets with application
- Week 9 Mid Term Exam
- Week 10 Hamilton Jacobi theory, Hamilton Jacobi theorem
- Week 11 Hamilton Jacobi equation for Hamilton characteristics Functions
- Week 12 Bilinear co-variant
- Week 13 Quasi coordinates, transpositional relations for Quasi coordinates
- Week 14 Lagrange’s equation for Quasi coordinates
- Week 15 Appel’s equation for Quasi coordinates
- Week 16 Whittaker equation with applications
- Week 17 Chaplygain system and equation
- Week 18 Final Term Exam
- Chapters 18
- Department Mathematics
- Teacher
Dr. Tahir Nazir
