Contents
12 Kinematics of a Particle
12.1 Introduction
12.2 Rectilinear Kinematics: Continuous Motion
12.3 Rectilinear Kinematics: Erratic Motion
12.4 General Curvilinear Motion
12.5 Curvilinear Motion: Rectangular Components
12.6 Motion of a Projectile
12.7 Curvilinear Motion: Normal and Tangential Components
12.8 Curvilinear Motion: Cylindrical Components
12.9 Absolute Dependent Motion Analysis of Two Particles
12.10 Relative-Motion of Two Particles Using Translating Axes
13 Kinetics of a Particle: Force and
Acceleration
13.1 Newton’s Second Law of Motion
13.2 The Equation of Motion
13.3 Equation of Motion for a System
of Particles
13.4 Equations of Motion: Rectangular Coordinates
13.5 Equations of Motion: Normal
and Tangential Coordinates
13.6 Equations of Motion: Cylindrical Coordinates
*13.7 Central-Force Motion and Space Mechanics
14 Kinetics of a Particle: Work and
Energy
14.1 The Work of a Force
14.2 Principle of Work and Energy
14.3 Principle of Work and Energy for a System of Particles
14.4 Power and Efficiency
14.5 Conservative Forces and Potential Energy
14.6 Conservation of Energy
15 Kinetics of a Particle: Impulse
and Momentum
15.1 Principle of Linear Impulse and Momentum
15.2 Principle of Linear Impulse and Momentum for a System of Particles
15.3 Conservation of Linear Momentum for a System of Particles
15.4 Impact
15.5 Angular Momentum
15.6 Relation Between Moment of a Force and Angular Momentum
15.7 Principle of Angular Impulse and Momentum
15.8 Steady Flow of a Fluid Stream
*15.9 Propulsion with Variable Mass
16 Planar Kinematics of a Rigid
Body
16.1 Planar Rigid-Body Motion
16.2 Translation
16.3 Rotation about a Fixed Axis
16.4 Absolute Motion Analysis
16.5 Relative-Motion Analysis: Velocity
16.6 Instantaneous Center of Zero Velocity
16.7 Relative-Motion Analysis: Acceleration
16.8 Relative-Motion Analysis using Rotating Axes
17 Planar Kinetics of a Rigid Body:
Force and Acceleration
17.1 Mass Moment of Inertia
17.2 Planar Kinetic Equations of Motion
17.3 Equations of Motion: Translation
17.4 Equations of Motion: Rotation about a Fixed Axis
17.5 Equations of Motion: General Plane Motion
18 Planar Kinetics of a Rigid Body:
Work and Energy
18.1 Kinetic Energy
18.2 The Work of a Force
18.3 The Work of a Couple Moment
18.4 Principle of Work and Energy
18.5 Conservation of Energy
19 Planar Kinetics of a Rigid Body:
Impulse and Momentum
19.1 Linear and Angular Momentum
19.2 Principle of Impulse and Momentum
19.3 Conservation of Momentum
*19.4 Eccentric Impact
20 Three-Dimensional Kinematics of
a Rigid Body
20.1 Rotation About a Fixed Point
*20.2 The Time Derivative of a Vector Measured from Either a Fixed
or Translating-Rotating System
20.3 General Motion
*20.4 Relative-Motion Analysis Using Translating and Rotating Axes
21 Three-Dimensional Kinetics of a
Rigid Body
*21.1 Moments and Products of Inertia
21.2 Angular Momentum
21.3 Kinetic Energy
*21.4 Equations of Motion
*21.5 Gyroscopic Motion
21.6 Torque-Free Motion
22 Vibrations
*22.1 Undamped Free Vibration
*22.2 Energy Methods
*22.3 Undamped Forced Vibration
*22.4 Viscous Damped Free Vibration
*22.5 Viscous Damped Forced Vibration
*22.6 Electrical Circuit Analogs
A Mathematical Expressions
B Vector Analysis
C The Chain Rule
Fundamental Problems Partial
Solutions and Answers
New Problems. There are approximately 35% or about 410 new problems in this edition. These new problems relate to applications in many different fields of engineering. Also, a significant increase in algebraic type problems has been added, so that a generalized solution can be obtained.
Additional Fundamental Problems. These problem sets serve as extended example problems since their solutions are given in the back of the book. Additional problems have been added, especially in the areas of frames and machines, and in friction.
Expanded Solutions. Some of the fundamental problems now have more detailed solutions, including some artwork, for better clarification. Also, some of the more difficult problems have additional hints along with its answer when given in the back of the book.
Updated Photos. The relevance of knowing the subject matter is reflected by the realistic applications depicted by the many photos placed throughout the book. In this edition 20 new or updated photos are included. These, along with all the others, are generally used to explain how the relevant principles of mechanics apply to real-world situations. In some sections they are incorporated into the example problems, or to show how to model then draw the free-body diagram of an actual object.
New & Revised Example Problems. Throughout the book examples have been altered or enhanced in an attempt to help clarify concepts for students. Where appropriate new examples have been added in order to emphasize important concepts that were needed.
New Conceptual Problems. The conceptual problems given at the end of many of the problem sets are intended to engage the students in thinking through a real-life situation as depicted in a photo. They can be assigned either as individual or team projects after the students have developed some expertise in the subject matter.
Problem Solving
R.C. Hibbeler’s text features a large variety of problem types from a broad range of engineering disciplines, stressing practical, realistic situations encountered in professional practice, varying levels of difficulty, and problems that involve solution by computer.
Fundamental Problems. These problem sets follow the example problems. They offer students simple applications of the concepts and, therefore, provide them with the chance to develop their problem-solving skills before attempting to solve any of the standard problems that follow. You may consider these problems as extended examples since they all have partial solutions and answers that are given in the back of the book.
Conceptual Problems. Throughout the text, usually at the end of each chapter, there is a set of problems that involve conceptual situations related to the application of the mechanics principles contained in the chapter. These analysis and design problems are intended to engage the students in thinking through a real-life situation as depicted in a photo.
Procedures for Analysis. This feature provides students with a logical and orderly method for applying theory and building problem solving skills. A general procedure for analyzing any mechanical problem is presented at the end of the first chapter. Then this procedure is customized to relate to specific types of problems that are covered throughout the book.
Examples. Designed to help students who “learn by example”, R.C. Hibbeler’s Examples illustrate the application of fundamental theory to practical engineering problems and reflect problem solving strategies discussed in associated Procedures for Analysis.
Important Points. This feature provides a review or summary of the most important concepts in a section and highlights the most significant points that should be realized when applying the theory to solve problems.
Emphasis on Free-Body Diagrams. Drawing a free-body diagram is particularly important when solving problems, and for this reason this step is strongly emphasized throughout the book. In particular, special sections and examples are devoted to show how to draw free-body diagrams. Specific homework problems have also been added to develop this practice.
General Analysis and Design Problems. The majority of problems in the book depict realistic situations encountered in engineering practice. Some of these problems come from actual products used in industry. It is hoped that this realism will both stimulate the student’s interest in engineering mechanics and provide a means for developing the skill to reduce any such problem from its physical description to a model or symbolic representation to which the principles of mechanics may be applied.
Student Study Pack. This supplement contains chapter-by-chapter study materials, a Free-Body Diagram Workbook and access to the Companion Website.
Part I - A chapter-by-chapter review including key points, equations, and check up questions.
Part II - Free Body Diagram workbook — 75 pages that step students through numerous free body diagram problems. Full explanations and solutions are provided.
Access Code - www.prenhall.com/hibbeler, a pass code protected website that includes:
-Video Solutions - complete, step-by-step solution walkthroughs of representative homework problems
-Over 1000 statics/dynamics problems with solutions that contain both math and associated free body diagrams
- MATLAB® and Mathcad mechanics tutorials keyed to the text, and mechanics AVIs and simulations.
Statics Practice Problem Workbook. This workbook contains additional worked problems. The problems are partially solved and are designed to help guide students through difficult topics.
Visualization
PhotoRealistic Art — 3D figures rendered with photographic quality
Photographs. Many photographs are used throughout the book to explain how the principles of mechanics apply to real-world situation. In some section, photographs have been used to show how engineers must first make an idealized model for analysis and then proceed to draw a free-body diagram of this model in order to apply the theory. Most photographs were taken by the author, and include appropriate vectors and notation illustrating a mechanics concept.
Illustrations. These figures provide a strong connection to the 3-D nature of engineering. Particular attention has also been paid to providing a view of any physical object, its dimensions, and the vectors in a manner that can be easily understood.
Review and Student Support
End of Chapter Review. A thorough end of chapter review includes each important point accompanied by the relevant equation and art from the chapter providing the students a concise tool for reviewing chapter contents.
MasteringEngineering. The most technologically advanced online tutorial and homework system. MasteringEngineering is designed to provide students with customized coaching and individualized feedback to help improve problem-solving skills while providing instructors with rich teaching diagnostics.
Video Solutions. Developed by Professor Edward Berger, University of Virginia, video solutions are located on the Companion Website for the text and offer step-by-step solution walkthroughs of representative homework problems from each section of the text.
Student Study Pack. This supplement contains chapter-by-chapter study materials, a Free-Body Diagram Workbook and access to the Companion Website.
Part I - A chapter-by-chapter review including key points, equations, and check up questions.
Part II - Free Body Diagram workbook — 75 pages that step students through numerous free body diagram problems. Full explanations and solutions are provided.
Access Code - www.prenhall.com/hibbeler, a pass code protected website that includes:
-Video Solutions - complete, step-by-step solution walkthroughs of representative homework problems
-Over 1000 statics/dynamics problems with solutions that contain both math and associated free body diagrams
- MATLAB® and Mathcad mechanics tutorials keyed to the text, and mechanics AVIs and simulations.
R.C. Hibbeler graduated from the University of Illinois at Urbana with a BS in Civil Engineering (major in Structures) and an MS in Nuclear Engineering. He obtained his PhD in Theoretical and Applied Mechanics from Northwestern University.
Hibbeler’s professional experience includes postdoctoral work in reactor safety and analysis at Argonne National Laboratory, and structural work at Chicago Bridge and Iron, as well as Sargent and Lundy in Tucson. He has practiced engineering in Ohio, New York, and Louisiana.
Hibbeler currently teaches at the University of Louisiana, Lafayette. In the past he has taught at the University of Illinois at Urbana, Youngstown State University, Illinois Institute of Technology, and Union College.