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Dynamics of Particles and Rigid Bodies

Book Description

This 2006 book is intended for undergraduate courses in dynamics. The work is a unique blend of conceptual, theoretical, and practical aspects of dynamics generally not found in dynamics books at the undergraduate level. In particular, in this book the concepts are developed in a highly rigorous manner and are applied to examples using a step-by-step approach that is completely consistent with the theory. In addition, for clarity, the notation used to develop the theory is identical to that used to solve example problems. The result of this approach is that a student is able to see clearly the connection between the theory and the application of theory to example problems. While the material is not new, instructors and their students will appreciate the highly pedagogical approach that aids in the mastery and retention of concepts. The approach used in this book teaches a student to develop a systematic approach to problem-solving.

Table of Contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright
  5. Contents
  6. Preface
  7. Acknowledgments
  8. Nomenclature
  9. 1. Introductory Concepts
    1. 1.1 Scalars
    2. 1.2 Vectors
    3. 1.3 Tensors
    4. 1.4 Matrices
    5. 1.5 Ordinary Differential Equations
  10. 2. Kinematics
    1. 2.1 Reference Frames
    2. 2.2 Coordinate Systems
    3. 2.3 Rate of Change of Scalar and Vector Functions
    4. 2.4 Position, Velocity, and Acceleration
    5. 2.5 Degrees of Freedom of a Particle
    6. 2.6 Relative Position, Velocity, and Acceleration
    7. 2.7 Rectilinear Motion
    8. 2.8 Using Noninertial Reference Frames to Describe Motion
    9. 2.9 Rate of Change of a Vector in a Rotating Reference Frame
    10. 2.10 Kinematics in a Rotating Reference Frame
    11. 2.11 Common Coordinate Systems
    12. 2.12 Kinematics in a Rotating and Translating Reference Frame
    13. 2.13 Practical Approach to Computing Velocity and Acceleration
    14. 2.14 Kinematics of a Particle in Continuous Contact with a Surface
    15. 2.15 Kinematics of Rigid Bodies
    16. Summary of Chapter 2
    17. Problems for Chapter 2
  11. 3. Kinetics of Particles
    1. 3.1 Forces Commonly Used in Dynamics
    2. 3.2 Inertial Reference Frames
    3. 3.3 Newton’s Laws for a Particle
    4. 3.4 Comments on Newton’s Laws
    5. 3.5 Examples of Application of Newton’s Laws in Particle Dynamics
    6. 3.6 Linear Momentum and Linear Impulse for a Particle
    7. 3.7 Moment of a Force and Moment Transport Theorem for a Particle
    8. 3.8 Angular Momentum and Angular Impulse for a Particle
    9. 3.9 Instantaneous Linear and Angular Impulse
    10. 3.10 Power, Work, and Energy for a Particle
    11. Summary of Chapter 3
    12. Problems for Chapter 3
  12. 4. Kinetics of a System of Particles
    1. 4.1 Center of Mass and Linear Momentum of a System of Particles
    2. 4.2 Angular Momentum of a System of Particles
    3. 4.3 Newton’s 2[sup(nd)] Law for a System of Particles
    4. 4.4 Moment of a System of Forces Acting on a System of Particles
    5. 4.5 Rate of Change of Angular Momentum for a System of Particles
    6. 4.6 Impulse and Momentum for a System of Particles
    7. 4.7 Work and Energy for a System of Particles
    8. 4.8 Collision of Particles
    9. Summary of Chapter 4
    10. Problems for Chapter 4
  13. 5. Kinetics of Rigid Bodies
    1. 5.1 Center of Mass and Linear Momentum of a Rigid Body
    2. 5.2 Angular Momentum of a Rigid Body
    3. 5.3 Moment of Inertia Tensor of a Rigid Body
    4. 5.4 Principal-Axis Coordinate Systems
    5. 5.5 Actions on a Rigid Body
    6. 5.6 Moment Transport Theorem for a Rigid Body
    7. 5.7 Euler’s Laws for a Rigid Body
    8. 5.8 Systems of Rigid Bodies
    9. 5.9 Rotational Dynamics of a Rigid Body Using Moment of Inertia
    10. 5.10 Work and Energy for a Rigid Body
    11. 5.11 Impulse and Momentum for a Rigid Body
    12. 5.12 Collision of Rigid Bodies
    13. Summary of Chapter 5
    14. Problems for Chapter 5
  14. Appendices
  15. A Principal-Axis Moments of Inertia of Homogeneous Bodies
  16. B Identities, Derivatives, Integrals, and Gradient
    1. B.1 Identities
    2. B.2 Derivatives and Integrals
    3. B.3 Gradient of a Scalar Function
  17. C Answers to Selected Problems
  18. Bibliography
  19. Index