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

The Mastering Revision consists of new features to help your students build stronger conceptual understanding and problem-solving skills: New - Setup-and-Solve exercises that step students through the problem-solving process, similar to what instructors model during class. This reinforces conceptual understanding of the process applied in approaching the problem and mirrors what students will be expected to do on a quiz or test. New - Enhanced End-of-Chapter Exercises (20% now enhanced) that offer hints and wrong-answer feedback as students work through problems and provide instructional support when and where students need it. New - Pearson eText, a simple-to-use, mobile-optimized, personalized reading experience available within Mastering Engineering. It lets students highlight, take notes, and review key vocabulary all in one place — even when offline. Seamlessly integrated videos and other rich media engage students and give them access to the help they need, when they need it. Educators can easily share their own notes with students so they see the connection between their eText and what they learn in class. Interactive figures that provide new interactivity and are embedded into Pearson eText to help students visualize course concepts that are difficult to comprehend from static images. Together, the Mastering Revision and Engineering Mechanics, 14th Edition provide:   Key author content that enhances conceptual understanding Each chapter is organized into well-defined sections that contain an explanation of specific topics, illustrative example problems, and a set of homework problems. Free-Body Diagrams are emphasized throughout the book. In particular, special sections and examples are devoted to show how to draw free-body diagrams. Homework problems have also been added to develop this practice. Procedures for Analysis provides students with a logical and orderly method for applying theory and building problem-solving skills. A general procedure for analyzing any mechanics problem is presented at the end of the first chapter, and each procedure is customized for specific problem types covered throughout the book. Examples follow the direction of the Procedure for Analysis, in order to illustrate its application. The many examples throughout show how to solve problems ranging in difficulty. They also illustrate the application of fundamental theory to practical engineering problems while reflecting the problem-solving strategies discussed in associated Procedures for Analysis. Expanded Important Points provide a review or summary of the most important concepts in a section and stresses the most significant points when applying the theory to solve problems. End-of-Chapter Reviews include each important point accompanied by the relevant equation and art from the chapter providing the students a concise tool for reviewing chapter contents. Photos and PhotoRealistic Art are used throughout the text to explain how the relevant principles apply to real-world situations and how materials behave under load. In some sections, photographs 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.   A wide variety of problem types that depict a broad range of engineering disciplines, stressing practical, realistic situations and having varying levels of difficulty Preliminary Problems test students’ conceptual understanding of the theory. Preliminary Problems solutions require little or no calculation and are intended to help students develop a basic understanding of the concepts before they are applied numerically. Fundamental Problems offer students simple applications of the concepts and provide the opportunity to develop their problem-solving skills before attempting to solve the standard problems that follow. Conceptual Problems are intended to engage the students in thinking through a real-life situation as depicted in the photo. These analysis and design problems appear throughout the text, usually at the end of each chapter. End-of-Chapter Review Problems now have solutions given in the back, so that students can check their work when studying for exams, and reviewing their skills when the chapter is finished. Free-Body Diagram Problems only require drawing the free-body diagram for the specific problems within a problem set and emphasize the importance of mastering this skill as a requirement for a complete solution of any equilibrium problem. Statics Practice Problem Workbook contains additional worked problems. The problems are partially solved and are designed to help guide students through difficult topics.     Key Mastering features   Teach your course your way Your course is unique. So whether you’d like to build your own auto-graded assignments, foster student engagement during class, or give students anytime, anywhere access, Mastering gives you the flexibility to easily create your course to fit your needs. With Learning Catalytics, you’ll hear from every student when it matters most. You pose a variety of questions that help students recall ideas, apply concepts, and develop critical-thinking skills. Your students respond using their own smartphones, tablets, or laptops. You can monitor responses with real-time analytics and find out what your students do — and don’t — understand. Then, you can adjust your teaching accordingly, and even facilitate peer-to-peer learning, helping students stay motivated and engaged. Learning Outcomes Summaries track student- or class-level performance for both publisher- and instructor-provided learning outcomes. All assignable Mastering Engineering content has been tagged to ABET Learning Outcomes A, E & K. Mastering also enables instructors to add their own learning outcomes and associate those with Mastering Engineering content. Empower each learner Each student learns at a different pace. Personalized learning, including adaptive tools and wrong-answer feedback, pinpoints the precise areas where each student needs practice and gives all students the support they need — when and where they need it — to be successful. Mastering Engineering tutorial homework problems are designed to emulate the instructor’s office-hour environment. Tutorials guide students through engineering concepts in multi-step problems that provide feedback specific to their errors, along with optional hints for breaking down the problems into smaller steps. Wrong-answer feedback, personalized for each student, responds to a wide variety of common wrong answers with immediate feedback specific to their error. Optional Hints provide two types of hints.. Declarative hints give advice on how to approach the problem, while Socratic hints break down a problem into smaller sub-problems. Homework problems support the problem-solving techniques in the text. Answer entry, beyond numerical input, includes: Plotting Mohr’s Circle for a Specific Element Identifying Key Points on Stress/Strain Curve Plotting the Shear and Bending Moment Diagrams for a Beam Adaptive Follow-Up Assignments are based on each student's past performance on his/her course work to date, including homework, tests, and quizzes. These provide additional coaching and targeted practice as needed, so students can master the material. Deliver trusted content We partner with highly respected authors to develop interactive content and course-specific resources that keep students on track and engaged. Video Solutions — developed by Prof. Edward Berger, Purdue University — offer step-by-step solution walkthroughs of representative homework problems from each section of the text. Improve student results: When you teach with Mastering, student performance often improves. That’s why instructors have chosen Mastering for over 15 years, touching the lives of over 20 million students.   Learn more about Mastering Engineering.

This Mastering Revision helps your students build stronger conceptual understanding and problem-solving skills with: New - Setup-and-Solve exercises that step students through the problem-solving process, similar to what instructors model during class. This reinforces conceptual understanding of the process applied in approaching the problem and mirrors what students will be expected to do on a quiz or test. New - Enhanced End-of-Chapter Exercises (20% now enhanced) that offer hints and wrong-answer feedback as students work through problems and provide instructional support when and where students need it. New - Pearson eText that is a simple-to-use, mobile-optimized, personalized reading experience available within Mastering Engineering. It lets students highlight, take notes, and review key vocabulary all in one place — even when offline. Seamlessly integrated videos and other rich media engage students and give them access to the help they need, when they need it. Educators can easily share their own notes with students so they see the connection between their eText and what they learn in class. Interactive figures that provide new interactivity and are embedded into Pearson eText to help students visualize course concepts that are difficult to comprehend from static images.