Description
This book of problems and solutions in classical mechanics is dedicated to junior or senior undergraduate students in physics, engineering, applied mathematics, astronomy, or chemistry who may want to improve their problems solving skills, or to freshman graduate students who may be seeking a refresh of the material.
The book is structured in ten chapters, starting with Newton’s laws, motion with air resistance, conservation laws, oscillations, and the Lagrangian and Hamiltonian Formalisms. The last two chapters introduce some ideas in nonlinear dynamics, chaos, and special relativity. Each chapter starts with a brief theoretical outline, and continues with problems and detailed solutions. A concise presentation of differential equations can be found in the appendix. A variety of problems are presented, from the standard classical mechanics problems, to context-rich problems and more challenging problems.
Key features:
- Presents a theoretical outline for each chapter.
- Motivates the students with standard mechanics problems with step-by-step explanations.
- Challenges the students with more complex problems with detailed solutions.
Table of Contents
Chapter 1: Newton’s Laws. Chapter 2: Motion with Air Resistance. Chapter 3: Momentum and Angular Momentum. Chapter 4: Energy. Chapter 5: Oscillations. Chapter 6: Lagrangian Formalism. Chapter 7: Hamiltonian Formalism. Chapter 8: Coupled Oscillators and Normal Modes. Chapter 9: Nonlinear Dynamics and Chaos. Chapter 10: Special Relativity. Appendix. Bibliography.
