Essential Classical Mechanics

Problems and Solutions

Problem solving in physics is not simply a test of understanding, but an integral part of learning. This book contains complete step-by-step solutions for all exercise problems in Essential Classical Mechanics, with succinct chapter-by-chapter summaries of key concepts and formulas. The degree of difficulty with problems varies from quite simple to very challenging; but none too easy, as all problems in physics demand some subtlety of intuition. The emphasis of the book is not so much in acquainting students with various problem-solving techniques as in suggesting ways of thinking. For undergraduate and graduate students, as well as those involved in teaching classical mechanics, this book can be used as a supplementary text or as an independent study aid.

Sample Chapter(s)
Preface
1. In Three-Dimensional Space: Vector Description

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Contents:

• Summary and Problems:

  • In Three-Dimensional Space: Vector Description
  • Evolution in Time: Basic Elements of Newtonian Mechanics
  • One-Dimensional Motion
  • Motion of a Particle in Two or Three Dimensions
  • The Two-Body Problem, Collision and Many-Particle System
  • Gravitational Field Equations
  • Rigid Body Dynamics I
  • Elements of Fluid Mechanics
  • Motion in a Non-Inertial Reference Frame
  • Lagrangian Mechanics
  • Application of the Lagrangian Method: Small Oscillations
  • Rigid Body Dynamics II
  • Hamiltonian Mechanics

• Solutions:

  • In Three-Dimensional Space: Vector Description
  • Evolution in Time: Basic Elements of Newtonian Mechanics
  • One-Dimensional Motion
  • Motion of a Particle in Two or Three Dimensions
  • The Two-Body Problem, Collision and Many-Particle System
  • Gravitational Field Equations
  • Rigid Body Dynamics I
  • Elements of Fluid Mechanics
  • Motion in a Non-Inertial Reference Frame
  • Lagrangian Mechanics
  • Application of the Lagrangian Method: Small Oscillations
  • Rigid Body Dynamics II
  • Hamiltonian Mechanics

Readership: Undergraduate and graduate physics students.
Key Features:

• We explained all mechanical concepts by a systematical and logical approach
• We strongly emphasized on the symmetry arguments and various mechanical conservation laws
• We provided many applications in broad areas in thorough manners