Classical mechanics: a textbook/
Chandra, Suresh
Classical mechanics: a textbook/ Suresh Chandra - New Delhi: Narosa Publication House, 2009. - x, 334 p. : ill. ; 25 cm.
I. Elementary Principles. --
1. Inertial reference frame --
2. Newton laws of motion --
3. Linear motions --
4. Forces in classical mechanics --
5. Maxwell equations --
6. Motion of a charged particle in electromagnetic eld [i.e. field] --
7. Galilean transformations --
8. Conservative and non-conservative forces --
9. Mechanics of a single particle --
10. Mechanics of a system of particles --
11. Motion in a resistive medium --
12. Constraints --
13. Generalized coordinates and degrees of freedom --
14. Virtual displacement and virtual work --
15. D'Alembert's principle --
16. Problems and questions --
II. Lagrangian Formulation. --
1. Lagrangian equation of motion --
2. Variation technique --
3. Kinetic energy in terms of generalized coordinates --
4. Jacobi integral --
5. Dissipative system: Rayleigh's dissipation function --
6. Gauge transformation for Lagrangian --
7. Symmetry properties and conservation laws --
8. Invariance of Lagrangian equations under Galilean transformation --
9. Variational principle --
10. Problems and questions --
III. Hamiltonian Formulation. --
1. Hamiltonian equations of motion --
2. Derivation of Hamiltonian equations from the variational principle --
3. Principle of least action --
4. Canonical transformations --
5. Maxwell type relations --
6. Poisson brackets --
7. Hamilton-Jacobi method --
8. Problems and questions --
IV. Central Force. --
1. Reduction of two-body problem into one-body problem --
2. Central force --
3. Kepler's laws --
4. Rutherford scattering --
5. Virial theorem --
6. Problems and questions --
V. Small Oscillations. --
1. Stable and unstable equilibriums --
2. Small oscillations in a system with one degree of freedom --
3. Small oscillations in a system with more than one degree of freedom --
4. Normal coordinates and normal frequencies of vibration --
5. Problems and questions --
VI. Rigid-body Dynamics. --
1. Rotating frame --
2. Euler angles --
3. Inertia tensor --
4. Euler's equations of motion of a rigid body --
5. Free motion of a rigid body --
6. Motion of a symmetric top --
7. Problems and questions --
VII. Special Relativity. --
1. Galilean transformations --
2. Michelson-Morley experiment --
3. Special theory of relativity --
4. Lorentz transformations --
5. Variation of mass with velocity --
6. Mass-energy equivalence --
7. Relativistic Doppler eect [i.e. effect] --
8. Lagrangian and Hamiltonian for relativistic mechanics --
9. Four-space --
10. Problems and questions.
9781842655528
Mechanics
531 / CHA/C
Classical mechanics: a textbook/ Suresh Chandra - New Delhi: Narosa Publication House, 2009. - x, 334 p. : ill. ; 25 cm.
I. Elementary Principles. --
1. Inertial reference frame --
2. Newton laws of motion --
3. Linear motions --
4. Forces in classical mechanics --
5. Maxwell equations --
6. Motion of a charged particle in electromagnetic eld [i.e. field] --
7. Galilean transformations --
8. Conservative and non-conservative forces --
9. Mechanics of a single particle --
10. Mechanics of a system of particles --
11. Motion in a resistive medium --
12. Constraints --
13. Generalized coordinates and degrees of freedom --
14. Virtual displacement and virtual work --
15. D'Alembert's principle --
16. Problems and questions --
II. Lagrangian Formulation. --
1. Lagrangian equation of motion --
2. Variation technique --
3. Kinetic energy in terms of generalized coordinates --
4. Jacobi integral --
5. Dissipative system: Rayleigh's dissipation function --
6. Gauge transformation for Lagrangian --
7. Symmetry properties and conservation laws --
8. Invariance of Lagrangian equations under Galilean transformation --
9. Variational principle --
10. Problems and questions --
III. Hamiltonian Formulation. --
1. Hamiltonian equations of motion --
2. Derivation of Hamiltonian equations from the variational principle --
3. Principle of least action --
4. Canonical transformations --
5. Maxwell type relations --
6. Poisson brackets --
7. Hamilton-Jacobi method --
8. Problems and questions --
IV. Central Force. --
1. Reduction of two-body problem into one-body problem --
2. Central force --
3. Kepler's laws --
4. Rutherford scattering --
5. Virial theorem --
6. Problems and questions --
V. Small Oscillations. --
1. Stable and unstable equilibriums --
2. Small oscillations in a system with one degree of freedom --
3. Small oscillations in a system with more than one degree of freedom --
4. Normal coordinates and normal frequencies of vibration --
5. Problems and questions --
VI. Rigid-body Dynamics. --
1. Rotating frame --
2. Euler angles --
3. Inertia tensor --
4. Euler's equations of motion of a rigid body --
5. Free motion of a rigid body --
6. Motion of a symmetric top --
7. Problems and questions --
VII. Special Relativity. --
1. Galilean transformations --
2. Michelson-Morley experiment --
3. Special theory of relativity --
4. Lorentz transformations --
5. Variation of mass with velocity --
6. Mass-energy equivalence --
7. Relativistic Doppler eect [i.e. effect] --
8. Lagrangian and Hamiltonian for relativistic mechanics --
9. Four-space --
10. Problems and questions.
9781842655528
Mechanics
531 / CHA/C