## Table of Contents

1. Kinematics of a Particle

Introduction / Rectilinear Motion of a Particle: Single Degree of Freedom / Classification of the Kinematics or Dynamics Problem / Inverse Dynamics Problem / The Direct Dynamics Problem: Rectilinear Motion When the Acceleration is Given / Classification of Differential Equations / Separable First Order Scalar Differential Equations / Special Rectilinear Motions / Solution of a Liner First Order Differential Equation by Use of An Integrating Factor / Second Order Linear Differential Equations / Numerical Solution of Differential Equations / Curvilinear Motion of a Particle / Vector Differential Equation / Projectile Motion / Normal and Tangential Coordinates / Circular Motion / Normal and Tangential Coordinates in Three Dimensions / Radial and Transverse Coordinates (Polar Coordinates) / Three-Dimensional Coordinate Systems / Cylindrical Coordinates / Spherical Coordinates / relative Rectilinear Motion of Several particles / General Relative Motion between Particles / Navigation using Relative Velocity / Dependent Motions Between Two or More Particles / Kinematic Parametric Equations / Trajectories Expressed as Function of Parameters / Parametric Equations for Three-Dimensional Trajectories

2. Kinetics of Particles

Introduction / Equations of Motion for a Particle/ Solution Strategy for Particle Dynamics / Review of the Concepts of Static and Kinetic Friction / Determination of the Direction of the Normal and Friction Forces / Discontinuity and Singularity Functions / Normal and Tangential Coordinates / Two-Dimensional Parametric Equations of Dynamics / Polar Coordinates / Angular Momentum of a Particle / Central Force Motion / Three-Dimensional Particle Dynamics in Curvilinear Coordinates . Cylindrical Coordinates / Spherical Coordinates / Parametric Equations in Tangential, Normal and Binormal Coordinates

3. Work - Energy and Impulse - Momentum First Integrals of Motion

Introduction / Power, Work and Energy / Work of a Spring Force / Work of the Gravitational Attraction Force Between Two Masses / Power and Efficiency / Conservative Forces and Potential Energy / Conservative Energy / Principle of Impulse and momentum . Impulse and Momentum of Several Particles / Impact / Direct Central Impact / Oblique Central Impact / Impact with a Stationary Object

4. System of Particles

Introduction / General Equations for a System of Particles / Center of mass of a System of Particles / Kinetic Energy of a System of Particles / Work-Energy and Conservation of Energy of a System of Particles / Mass Flows / Steady Mass Flow / Variable Mass Flow

5. Kinematics of Rigid Bodies

Introduction / Translation of a Rigid Body / Rotation About a Fixed Axis / Planar Pure Rotation about an Axis Perpendicular to the Plane of Motion / Vector Relations for Rotation in a Plane / Constraints to the Motion / General Plane Motion / Absolute and Relative Velocities in Plane Motion of a Rigid Body / Experimental Motion Data / Angular Velocity for Noisy Experimental Data / Direct Vector Method to Obtain the Angular Velocity / Instantaneous Center of Rotation in Plane Motion / Instantaneous Center of Rotation between Two Rigid Bodies / Absolute and Relative Acceleration of a Rigid Body in Plane Motion / Alternate Solution of the Acceleration of Rigid Bodies / Kinematics of a System of Rigid Bodies / Analysis of Plane Motion in Terms of a Parameter / General Three-Dimensional Motion of a Rigid Body / Linear and Angular Acceleration / Constraints to the General Three-Dimensional Motion of a Rigid Body / Rigid Body with a Fixed Point in Space / Other Constraints / Instantaneous Helical Axis, or Screw Axis / Motion of a Rigid Body Having a Fixed Point in Space / Instantaneous Helical Axis of Rotation between Two Rigid Bodies / Motion with Respect to Rotating Reference Frame or Coordinate System

6. Dynamics of Rigid Bodies in Plane Motion

Introduction / Linear and Angular Momentum / Equations of Motion for Rigid Bodies in Plane Motion / Constraints on the Motion / Computational Methods for Plane Dynamic Systems / Systems of Rigid Bodies or Particles / D''Alembert''s Principle

7. Power, Work, Energy, Impulse, and Momentum of a Rigid Body

Power, Work, and Energy of a Rigid Body / Systems of Rigid Bodies and Particles / Conservation of Energy / Impulse and Momentum / Eccentric Impact on a Single Rigid Body / Eccentric Impact

8. Three-Dimensional Dynamics of Rigid Bodies

Introduction / Rotational Transformation between Coordinate Systems / Coordinate Transformations / Eulerian Angles / Angular Motion / Joint Coordinate System / Equations of Motion / Euler''s Equations of Motion / Stability of Rotation about a Principle Axis / Motion of an Axisymmetric Object / Heavy Axisymmetric Top / Gyroscopic Motion with Steady Procession / Motion of an Axisymmetric Body Subjected to no External Forces / The Gyroscope

9. Vibration

Introduction / Undamped Single-Degree-of-Freedom Systems / Linear Vibration / Nonlinear Vibration / Damped Single-Degree-of-Freedom Systems / Undamped Motion / Overdamped Motion / Critically Damped Motion / Nonlinear Damping / Forced Response and Resonance

Appendix A Mass Moment of Inertia

Appendix B Vector Calculus and Ordinary Differential Equations

Dynamics Index Dictionary

Answers to Selected Problems

Index

## Supplements

## Instructor Supplements

# Instructor Supplements

All supplements have been updated in coordination with the main title. Select the main title’s "About the Solution" tab, then select "What's New" for updates specific to title's edition.
**For more information about these supplements, or to obtain them, contact your Learning Consultant.**

###
Instructor's Solutions Manual - Engineering Mechanics: Dynamics - Computational Edition
(ISBN-10: 0495244767 | ISBN-13: 9780495244769)

###
A Mathematica Manual for Engineering Mechanics: Dynamics - Computational Edition
(ISBN-10: 049529599X | ISBN-13: 9780495295990)

This supplement is intended to teach the reader how to solve statics/dynamics problems using Mathematica®. It is closely coupled to the accompanying text and works through many of the sample problems for each chapter in detail. The manual was created in Mathematica® and demonstrates how quality technical documents can be created entirely using the software. Chapter 1 is a general introduction to Mathematca that concludes with a sample application and can be studied while reading Chapter 1 of the accompanying text.

List Price = $38.95
| CengageBrain Price = $38.49
| College Bookstore Wholesale Price = $28.50

###
A MATLAB Manual for Engineering Mechanics: Dynamics - Computational Edition
(ISBN-10: 0495296082 | ISBN-13: 9780495296089)

This supplement provides all the necessary instructions to use recent versions of MATLAB® software to aid in solving the homework problems and working through the sample problems given in the text. The manual also guides the reader through the use of MATLAB® for solving statics/dynamics problems and makes for a good resource for future studies.

List Price = $38.95
| CengageBrain Price = $38.49
| College Bookstore Wholesale Price = $28.50

###
A Mathcad Manual for Engineering Mechanics: Dynamics - Computational Edition
(ISBN-10: 0495296090 | ISBN-13: 9780495296096)

This supplement provides all of the necessary instructions to use Mathcad® Student or Professional software to aid the reader in solving homework problems. It is keyed heavily to the accompanying dynamics text and works through many of the sample problems in detail. While this supplement suggests ways in which to use Mathcad® to enhance your understanding of dynamics and teach you efficient computational skills, you may also browse through the Mathcad® Student manual and think of your own usage of Mathcad® to solve problems and applications in other courses. The first chapter is a general introduction to Mathcad® that concludes with a sample application of Mathcad® to a dynamics problem and can be studied while reading Chapter 1 of the accompanying text.

List Price = $38.95
| CengageBrain Price = $38.49
| College Bookstore Wholesale Price = $28.50

###
A Maple Manual for Engineering Mechanics: Dynamics - Computational Edition
(ISBN-10: 0495296104 | ISBN-13: 9780495296102)

This supplement is intended to teach the reader how to solve dynamics problems using Maple®. While the manual suggests ways to use Maple® to enhance your understanding of dynamics and teaches you efficient computational skills, you should feel free to browse the Maple® manual and create your own methods for solving problems and for using Maple®. Quality technical documents can be created entirely within Maple®. These manuals are an example of this, demonstrating the software's capability. As a consequence, the input and output for formats presented in this manual are consistent with actual Maple® input and output. The first chapter is a general introduction to Maple® that concludes with a sample application and can be studied while reading the first chapter of the accompanying text.

List Price = $38.95
| CengageBrain Price = $38.49
| College Bookstore Wholesale Price = $28.50

###
Statics/Dynamics - Computational Ed + Maple Manuals
(ISBN-10: 0495438340 | ISBN-13: 9780495438342)

List Price = $445.95
| CengageBrain Price = $356.49
| College Bookstore Wholesale Price = $330.00

###
Engineering Mechanics: Dynamics - Computational Ed + Mathcad Manual
(ISBN-10: 0495438286 | ISBN-13: 9780495438281)

Includes Engineering Mechanics: Dynamics - Computational Edition + Mathcad Manual

List Price = $222.95
| CengageBrain Price = $177.99
| College Bookstore Wholesale Price = $165.00

###
Statics/Dynamics - Computational Ed + MATLAB Manuals
(ISBN-10: 0495438324 | ISBN-13: 9780495438328)

List Price = $445.95
| CengageBrain Price = $356.49
| College Bookstore Wholesale Price = $330.00

###
Statics/Dynamics - Computational Editions Bundle
(ISBN-10: 0495438316 | ISBN-13: 9780495438311)

Includes both Computational Editions, Statics & Dynamics

List Price = $368.95
| CengageBrain Price = $294.99
| College Bookstore Wholesale Price = $273.00

###
Engineering Mechanics: Dynamics - Computational Ed + Maple Manual
(ISBN-10: 0495438294 | ISBN-13: 9780495438298)

Includes Engineering Mechanics: Dynamics - Computational Edition + Maple Manual

List Price = $222.95
| CengageBrain Price = $177.99
| College Bookstore Wholesale Price = $165.00

###
Engineering Mechanics: Dynamics - Computational Ed + Mathematica Manual
(ISBN-10: 0495438308 | ISBN-13: 9780495438304)

Includes Engineering Mechanics: Dynamics - Computational Edition + Wolfram's Mathematica Manual

List Price = $222.95
| CengageBrain Price = $177.99
| College Bookstore Wholesale Price = $165.00

###
Statics/Dynamics - Computational Ed + Mathcad Manuals
(ISBN-10: 0495438332 | ISBN-13: 9780495438335)

List Price = $445.95
| CengageBrain Price = $356.49
| College Bookstore Wholesale Price = $330.00

###
Statics/Dynamics - Computational Ed + Wolfram Mathematica Bundle
(ISBN-10: 0495438359 | ISBN-13: 9780495438359)

List Price = $461.95
| CengageBrain Price = $369.49
| College Bookstore Wholesale Price = $342.50

###
Engineering Mechanics: Dynamics - Computational Ed + MATLAB Manual
(ISBN-10: 0495438278 | ISBN-13: 9780495438274)

Includes Engineering Mechanics: Dynamics - Computational Edition + MATLAB Manual

List Price = $222.95
| CengageBrain Price = $177.99
| College Bookstore Wholesale Price = $165.00

## Student Supplements

# Student Supplements

All supplements have been updated in coordination with the main title. Select the main title’s "About the Solution" tab, then select "What's New" for updates specific to title's edition.
**For more information about these supplements, or to obtain them, contact your Learning Consultant.**

###
A Mathematica Manual for Engineering Mechanics: Dynamics - Computational Edition
(ISBN-10: 049529599X | ISBN-13: 9780495295990)

This supplement is intended to teach the reader how to solve statics/dynamics problems using Mathematica®. It is closely coupled to the accompanying text and works through many of the sample problems for each chapter in detail. The manual was created in Mathematica® and demonstrates how quality technical documents can be created entirely using the software. Chapter 1 is a general introduction to Mathematca that concludes with a sample application and can be studied while reading Chapter 1 of the accompanying text.

List Price = $38.95
| CengageBrain Price = $38.49
| College Bookstore Wholesale Price = $28.50

###
A MATLAB Manual for Engineering Mechanics: Dynamics - Computational Edition
(ISBN-10: 0495296082 | ISBN-13: 9780495296089)

This supplement provides all the necessary instructions to use recent versions of MATLAB® software to aid in solving the homework problems and working through the sample problems given in the text. The manual also guides the reader through the use of MATLAB® for solving statics/dynamics problems and makes for a good resource for future studies.

List Price = $38.95
| CengageBrain Price = $38.49
| College Bookstore Wholesale Price = $28.50

###
A Mathcad Manual for Engineering Mechanics: Dynamics - Computational Edition
(ISBN-10: 0495296090 | ISBN-13: 9780495296096)

This supplement provides all of the necessary instructions to use Mathcad® Student or Professional software to aid the reader in solving homework problems. It is keyed heavily to the accompanying dynamics text and works through many of the sample problems in detail. While this supplement suggests ways in which to use Mathcad® to enhance your understanding of dynamics and teach you efficient computational skills, you may also browse through the Mathcad® Student manual and think of your own usage of Mathcad® to solve problems and applications in other courses. The first chapter is a general introduction to Mathcad® that concludes with a sample application of Mathcad® to a dynamics problem and can be studied while reading Chapter 1 of the accompanying text.

List Price = $38.95
| CengageBrain Price = $38.49
| College Bookstore Wholesale Price = $28.50

###
A Maple Manual for Engineering Mechanics: Dynamics - Computational Edition
(ISBN-10: 0495296104 | ISBN-13: 9780495296102)

List Price = $38.95
| CengageBrain Price = $38.49
| College Bookstore Wholesale Price = $28.50

###
Statics/Dynamics - Computational Ed + Maple Manuals
(ISBN-10: 0495438340 | ISBN-13: 9780495438342)

List Price = $445.95
| CengageBrain Price = $356.49
| College Bookstore Wholesale Price = $330.00

###
Engineering Mechanics: Dynamics - Computational Ed + Mathcad Manual
(ISBN-10: 0495438286 | ISBN-13: 9780495438281)

Includes Engineering Mechanics: Dynamics - Computational Edition + Mathcad Manual

List Price = $222.95
| CengageBrain Price = $177.99
| College Bookstore Wholesale Price = $165.00

###
Statics/Dynamics - Computational Ed + MATLAB Manuals
(ISBN-10: 0495438324 | ISBN-13: 9780495438328)

List Price = $445.95
| CengageBrain Price = $356.49
| College Bookstore Wholesale Price = $330.00

###
Statics/Dynamics - Computational Editions Bundle
(ISBN-10: 0495438316 | ISBN-13: 9780495438311)

Includes both Computational Editions, Statics & Dynamics

List Price = $368.95
| CengageBrain Price = $294.99
| College Bookstore Wholesale Price = $273.00

###
Engineering Mechanics: Dynamics - Computational Ed + Maple Manual
(ISBN-10: 0495438294 | ISBN-13: 9780495438298)

Includes Engineering Mechanics: Dynamics - Computational Edition + Maple Manual

List Price = $222.95
| CengageBrain Price = $177.99
| College Bookstore Wholesale Price = $165.00

###
Engineering Mechanics: Dynamics - Computational Ed + Mathematica Manual
(ISBN-10: 0495438308 | ISBN-13: 9780495438304)

Includes Engineering Mechanics: Dynamics - Computational Edition + Wolfram's Mathematica Manual

List Price = $222.95
| CengageBrain Price = $177.99
| College Bookstore Wholesale Price = $165.00

###
Statics/Dynamics - Computational Ed + Mathcad Manuals
(ISBN-10: 0495438332 | ISBN-13: 9780495438335)

List Price = $445.95
| CengageBrain Price = $356.49
| College Bookstore Wholesale Price = $330.00

###
Statics/Dynamics - Computational Ed + Wolfram Mathematica Bundle
(ISBN-10: 0495438359 | ISBN-13: 9780495438359)

List Price = $461.95
| CengageBrain Price = $369.49
| College Bookstore Wholesale Price = $342.50

###
Engineering Mechanics: Dynamics - Computational Ed + MATLAB Manual
(ISBN-10: 0495438278 | ISBN-13: 9780495438274)

Includes Engineering Mechanics: Dynamics - Computational Edition + MATLAB Manual

List Price = $222.95
| CengageBrain Price = $177.99
| College Bookstore Wholesale Price = $165.00