In his substantial revision of Engineering Mechanics, R.C. Hibbeler empowers students to succeed in the whole learning experience. Hibbeler achieves this by calling on his everyday classroom experience and his knowledge of how students learn inside and outside of lecture.
In addition to over 50% new homework problems, the twelfth edition introduces the new elements of Conceptual Problems, Fundamental Problems and MasteringEngineering, the most technologically advanced online tutorial and homework system.
12
Kinematics of a
Particle 3
Chapter Objectives 3
12.1 Introduction 3
12.2 Rectilinear Kinematics: Continuous
Motion 5
12.3 Rectilinear Kinematics: Erratic Motion 19
12.4 General Curvilinear Motion 32
12.5 Curvilinear Motion: Rectangular
Components 34
12.6 Motion of a Projectile 39
12.7 Curvilinear Motion: Normal and Tangential
Components 53
12.8 Curvilinear Motion: Cylindrical
Components 67
12.9 Absolute Dependent Motion Analysis of
Two Particles 81
12.10 Relative-Motion of Two Particles Using
Translating Axes 87
13
Kinetics of a Particle:
Force and
Acceleration 107
Chapter Objectives 107
13.1 Newton’s Second Law of Motion 107
13.2 The Equation of Motion 110
13.3 Equation of Motion for a System of
Particles 112
13.4 Equations of Motion: Rectangular
Coordinates 114
13.5 Equations of Motion: Normal and
Tangential Coordinates 131
13.6 Equations of Motion: Cylindrical
Coordinates 144
*13.7 Central-Force Motion and Space
Mechanics 155
14
Kinetics of a Particle:
Work and Energy 169
Chapter Objectives 169
14.1 The Work of a Force 169
14.2 Principle of Work and Energy 174
14.3 Principle of Work and Energy for a System
of Particles 176
14.4 Power and Efficiency 192
14.5 Conservative Forces and Potential
Energy 201
14.6 Conservation of Energy 205
15
Kinetics of a Particle:
Impulse and
Momentum 221
Chapter Objectives 221
15.1 Principle of Linear Impulse and
Momentum 221
15.2 Principle of Linear Impulse and Momentum
for a System of Particles 228
15.3 Conservation of Linear Momentum for a
System of Particles 236
15.4 Impact 248
15.5 Angular Momentum 262
15.6 Relation Between Moment of a Force and
Angular Momentum 263
15.7 Principle of Angular Impulse and
Momentum 266
15.8 Steady Flow of a Fluid Stream 277
*15.9 Propulsion with Variable Mass 282
Review
1. Kinematics and Kinetics of a Particle 298
16
Planar Kinematics of a
Rigid Body 311
Chapter Objectives 311
16.1 Planar Rigid-Body Motion 311
16.2 Translation 313
16.3 Rotation about a Fixed Axis 314
16.4 Absolute Motion Analysis 329
16.5 Relative-Motion Analysis: Velocity 337
16.6 Instantaneous Center of Zero Velocity 351
16.7 Relative-Motion Analysis: Acceleration 363
16.8 Relative-Motion Analysis using Rotating
Axes 377
17
Planar Kinetics of a Rigid
Body: Force and
Acceleration 395
Chapter Objectives 395
17.1 Moment of Inertia 395
17.2 Planar Kinetic Equations of Motion 409
17.3 Equations of Motion: Translation 412
17.4 Equations of Motion: Rotation about a
Fixed Axis 425
17.5 Equations of Motion: General Plane
Motion 440
18
Planar Kinetics of a
Rigid Body: Work and
Energy 455
Chapter Objectives 455
18.1 Kinetic Energy 455
18.2 The Work of a Force 458
18.3 The Work of a Couple 460
18.4 Principle of Work and Energy 462
18.5 Conservation of Energy 477
19
Planar Kinetics of a Rigid
Body: Impulse and
Momentum 495
Chapter Objectives 495
19.1 Linear and Angular Momentum 495
19.2 Principle of Impulse and Momentum 501
19.3 Conservation of Momentum 517
*19.4 Eccentric Impact 521
Review
2. Planar Kinematics and Kinetics of a Rigid
Body 534
20
Three-Dimensional
Kinematics of a Rigid
Body 549
Chapter Objectives 549
20.1 Rotation About a Fixed Point 549
*20.2 The Time Derivative of a Vector Measured
from Either a Fixed or Translating-Rotating
System 552
20.3 General Motion 557
*20.4 Relative-Motion Analysis Using Translating
and Rotating Axes 566
21
Three-Dimensional
Kinetics of a Rigid
Body 579
Chapter Objectives 579
*21.1 Moments and Products of Inertia 579
21.2 Angular Momentum 589
21.3 Kinetic Energy 592
*21.4 Equations of Motion 600
*21.5 Gyroscopic Motion 614
21.6 Torque-Free Motion 620
CONTENTS X I I I
22
Vibrations 631
Chapter Objectives 631
*22.1 Undamped Free Vibration 631
*22.2 Energy Methods 645
*22.3 Undamped Forced Vibration 651
*22.4 Viscous Damped Free Vibration 655
*22.5 Viscous Damped Forced Vibration 658
*22.6 Electrical Circuit Analogs 661
Appendix
A. Mathematical Expressions 670
B. Vector Analysis 672
C. The Chain Rule 677
Fundamental Problems
Partial Solutions and
Answers 679
Answers to Selected
Problems 000
Index 000
New Problems. There are new problems added to this edition including aerospace and petroleum engineering, and biomechanics applications.
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.
Additional Photos. The relevance of knowing the subject matter is reflected by the real world applications depicted in over 60 new and updated photos placed throughout the book. These photos are generally used to explain how the principles of mechanics apply to real-world situations. In some sections, 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.
Content Revisions. Each section of the text was carefully reviewed and, in many areas, the material has been redeveloped to better explain the concepts.
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. The videos are designed to be a flexible resource to be used however each instructor and student prefers.
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.
(NEW) 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.
(NEW) 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.
(NEW) 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.
(NEW) 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.
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.
Accuracy
As with the previous editions, apart from the author, the accuracy of the text and problem solutions has been thoroughly checked by four other parties: Scott Hendricks, Virginia Polytechnic Institute and State University; Karim Nohra, University of South Florida; Kurt Norlin, Laurel Tech Integrated Publishing Services; and finally Kai Beng, a practicing engineer, who in addition to accuracy review provided content development suggestions.