Collection of Problems in Classical Mechanics

Collection of Problems in Classical Mechanics presents a set of problems and solutions in physics, particularly those involving mechanics. The coverage of the book includes 13 topics relevant to classical mechanics, such as integration of one-dimensional equations of motion; the Hamiltonian equations of motion; and adiabatic invariants. The book will be of great use to physics students studying classical mechanics.

Preface

Problems

1. Integration of One-dimensional Equations of Motion

2. Motion of a Particle in Three-Dimensional Potentials

3. Scattering in a Given Field. Collisions between Particles

4. Lagrangian Equations of Motion. Conservation Laws

5. Small Oscillations of Systems with One Degree of Freedom

6. Small Oscillations of Systems with Several Degrees of Freedom

7. Oscillations of Linear Chains

8. Non-linear Oscillations

9. Rigid-body motion. Non-Inertial Coordinate Systems

10. The Hamiltonian Equations of Motion

11. Poisson Brackets. Canonical Transformations

12. The Hamilton-Jacobi Equation

13. Adiabatic Invariants

Answers and Solutions

1. Integration of One-Dimensional Equations of Motion

2. Motion of a Particle in Three-Dimensional Potentials

3. Scattering in a Given Field. Collisions between Particles

4. Lagrangian Equations of Motion. Conservation Laws

5. Small Oscillations of Systems with One Degree of Freedom

6. Small Oscillations of Systems with Several Degrees of Freedom

7. Oscillations of Linear Chains

8. Non-linear Oscillations

9. Rigid-body Motion. Non-Inertial Coordinate Systems

10. The Hamiltonian Equations of Motion

11. Poisson Brackets. Canonical Transformations

12. The Hamilton-Jacobi Equation

13. Adiabatic Invariants

References

Index

Other Titles in the Series in Natural Philosophy