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Vector Mechanics for Engineers: Dynamics (SI units)

Vector Mechanics for Engineers: Dynamics (SI units)

ISBN 9780071311083
Edition 9
Publication Date
Publisher McGraw-Hill Australia
Author(s)
Overview

Preface

Acknowledgments

List of Symbols

 

Chapter 11  Kinematics of Particles

11.1 Introduction to Dynamics

Rectilinear Motion of Particles

11.2 Position, Velocity, and Acceleration

11.3 Determination of the Motion of a Particle

11.4 Uniform Rectilinear Motion

11.5 Uniformly Accelerated Rectilinear Motion

11.6 Motion of Several Particles

*11.7 Graphical Solution of Rectilinear-Motion Problems

*11.8 Other Graphical Methods

Curvilinear Motion of Particles

11.9 Position Vector, Velocity, and Acceleration

11.10 Derivatives of Vector Functions

11.11 Rectangular Components of Velocity and Acceleration

11.12 Motion Relative to a Frame in Translation

11.13 Tangential and Normal Components

11.14 Radial and Transverse Components

Review and Summary

Review Problems

Computer Problems

 

Chapter 12  Kinetics of Particles: Newton’s Second Law

12.1 Introduction

12.2 Newton’s Second Law of Motion

12.3 Linear Momentum of a Particle. Rate of Change of Linear Momentum

12.4 Systems of Units

12.5 Equations of Motion

12.6 Dynamic Equilibrium

12.7 Angular Momentum of a Particle. Rate of Change of Angular Momentum

12.8 Equations of Motion in Terms of Radial and Transverse Components

12.9 Motion under a Central Force. Conservation of Angular Momentum

12.10 Newton’s Law of Gravitation

*12.11 Trajectory of a Particle under a Central Force

*12.12 Application to Space Mechanics

*12.13 Kepler’s Laws of Planetary Motion

Review and Summary

Review Problems

Computer Problems

 

Chapter 13  Kinetics of Particles: Energy and Momentum Methods

13.1 Introduction

13.2 Work of a Force

13.3 Kinetic Energy of a Particle. Principle of Work and Energy

13.4 Applications of the Principle of Work and Energy

13.5 Power and Efficiency

13.6 Potential Energy

*13.7 Conservative Forces

13.8 Conservation of Energy

13.9 Motion under a Conservative Central Force. Application to Space Mechanics

13.10 Principle of Impulse and Momentum 806

13.11 Impulsive Motion

13.12 Impact

13.13 Direct Central Impact

13.14 Oblique Central Impact

13.15 Problems Involving Energy and Momentum

Review and Summary

Review Problems

Computer Problems 852

 

Chapter 14  Systems of Particles

14.1 Introduction

14.2 Application of Newton’s Laws to the Motion of a System of Particles. Effective Forces

14.3 Linear and Angular Momentum of a System of Particles

14.4 Motion of the Mass Center of a System of Particles

14.5 Angular Momentum of a System of Particles about Its Mass Center

14.6 Conservation of Momentum for a System of Particles

14.7 Kinetic Energy of a System of Particles

14.8 Work-Energy Principle. Conservation of Energy for a System of Particles

14.9 Principle of Impulse and Momentum for a System of Particles

*14.10 Variable Systems of Particles

*14.11 Steady Stream of Particles

*14.12 Systems Gaining or Losing Mass

Review and Summary

Review Problems

Computer Problems

 

Chapter 15  Kinematics of Rigid Bodies

15.1 Introduction

15.2 Translation

15.3 Rotation about a Fixed Axis

15.4 Equations Defining the Rotation of a Rigid Body about a Fixed Axis

15.5 General Plane Motion

15.6 Absolute and Relative Velocity in Plane Motion

15.7 Instantaneous Center of Rotation in Plane Motion

15.8 Absolute and Relative Acceleration in Plane Motion

*15.9 Analysis of Plane Motion in Terms of a Parameter

15.10 Rate of Change of a Vector with Respect to a Rotating Frame

15.11 Plane Motion of a Particle Relative to a Rotating Frame. Coriolis Acceleration

*15.12 Motion about a Fixed Point 984

*15.13 General Motion 987

*15.14 Three-Dimensional Motion of a Particle Relative to a Rotating Frame. Coriolis Acceleration

*15.15 Frame of Reference in General Motion

Review and Summary

Review Problems

Computer Problems

 

Chapter 16   Plane Motion of Rigid Bodies: Forces and Accelerations

16.1 Introduction

16.2 Equations of Motion for a Rigid Body

16.3 Angular Momentum of a Rigid Body in Plane Motion

16.4 Plane Motion of a Rigid Body. D’Alembert’s Principle

*16.5 A Remark on the Axioms of the Mechanics of Rigid Bodies

16.6 Solution of Problems Involving the Motion of a Rigid Body

16.7 Systems of Rigid Bodies

16.8 Constrained Plane Motion

Review and Summary

Review Problems

Computer Problems 1079

 

Chapter 17  Plane Motion of Rigid Bodies: Energy and Momentum Methods

17.1 Introduction

17.2 Principle of Work and Energy for a Rigid Body

17.3 Work of Forces Acting on a Rigid Body

17.4 Kinetic Energy of a Rigid Body in Plane Motion

17.5 Systems of Rigid Bodies

17.6 Conservation of Energy

17.7 Power

17.8 Principle of Impulse and Momentum for the Plane Motion of a Rigid Body

17.9 Systems of Rigid Bodies

17.10 Conservation of Angular Momentum

17.11 Impulsive Motion

17.12 Eccentric Impact

Review and Summary

Review Problems

Computer Problems

 

Chapter 18  Kinetics of Rigid Bodies in Three Dimensions

*18.1 Introduction

*18.2 Angular Momentum of a Rigid Body in Three Dimensions

*18.3 Application of the Principle of Impulse and Momentum to the Three-Dimensional Motion of a Rigid Body

*18.4 Kinetic Energy of a Rigid Body in Three Dimensions

*18.5 Motion of a Rigid Body in Three Dimensions

*18.6 Euler’s Equations of Motion. Extension of D’Alembert’s Principle to the Motion of a Rigid Body in Three Dimensions

*18.7 Motion of a Rigid Body about a Fixed Point

*18.8 Rotation of a Rigid Body about a Fixed Axis

*18.9 Motion of a Gyroscope. Eulerian Angles

*18.10 Steady Precession of a Gyroscope

*18.11 Motion of an Axisymmetrical Body under No Force

Review and Summary

Review Problems

Computer Problems

 

Chapter 19  Mechanical Vibrations

19.1 Introduction

Vibrations without Damping

19.2 Free Vibrations of Particles. Simple Harmonic Motion

19.3 Simple Pendulum (Approximate Solution)

*19.4 Simple Pendulum (Exact Solution)

19.5 Free Vibrations of Rigid Bodies

19.6 Application of the Principle of Conservation of Energy

19.7 Forced Vibrations

Damped Vibrations

*19.8 Damped Free Vibrations

*19.9 Damped Forced Vibrations

*19.10 Electrical Analogues

Review and Summary

Review Problems

Computer Problems

 

Appendix A Some Useful Definitions and Properties of Vector Algebra

Appendix B Moments of Inertia of Masses

Appendix C Fundamentals of Engineering Examination

 

Photo Credits

Index

Answers to Problems

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