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Engineering Mechanics: Dynamics, 9th Edition

Engineering Mechanics: Dynamics, 9th Edition

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Description

Engineering Mechanics: Dynamics provides a solid foundation of mechanics principles and helps students develop their problem-solving skills with an extensive variety of engaging problems related to engineering design. More than 50% of the homework problems are new, and there are also a number of new sample problems. To help students build necessary visualization and problem-solving skills, this product strongly emphasizes drawing free–body diagrams, the most important skill needed to solve mechanics problems.

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Part I Dynamics of Particles 1

1 Introduction to Dynamics 3

1/1 History and Modern Applications 3

1/2 Basic Concepts 4

1/3 Newton’s Laws 5

1/4 Units 6

1/5 Gravitation 7

1/6 Dimensions 10

1/7 Solving Problems in Dynamics 11

1/8 Chapter Review 13

2 Kinematics of Particles 16

2/1 Introduction 16

2/2 Rectilinear Motion 17

2/3 Plane Curvilinear Motion 25

2/4 Rectangular Coordinates (x-y) 27

2/5 Normal and Tangential Coordinates (n-t) 32

2/6 Polar Coordinates (r-𝜽) 37

2/7 Space Curvilinear Motion 42

2/8 Relative Motion (Translating Axes) 47

2/9 Constrained Motion of Connected Particles 51

2/10 Chapter Review 54

3 Kinetics of Particles 56

3/1 Introduction 56

Section A Force, Mass, and Acceleration 57

3/2 Newton’s Second Law 57

3/3 Equation of Motion and Solution of Problems 60

3/4 Rectilinear Motion 62

3/5 Curvilinear Motion 67

Section B Work and Energy 71

3/6 Work and Kinetic Energy 71

3/7 Potential Energy 81

Section C Impulse and Momentum 87

3/8 Introduction 87

3/9 Linear Impulse and Linear Momentum 87

3/10 Angular Impulse and Angular Momentum 93

Section D Special Applications 99

3/11 Introduction 99

3/12 Impact 99

3/13 Central-Force Motion 105

3/14 Relative Motion 112

3/15 Chapter Review 118

4 Kinetics of Systems of Particles 119

4/1 Introduction 119

4/2 Generalized Newton’s Second Law 120

4/3 Work-Energy 121

4/4 Impulse-Momentum 122

4/5 Conservation of Energy and Momentum 126

4/6 Steady Mass Flow 132

4/7 Variable Mass 138

4/8 Chapter Review 144

Part II Dynamics of Rigid Bodies 145

5 Plane Kinematics of Rigid Bodies 147

5/1 Introduction 147

5/2 Rotation 149

5/3 Absolute Motion 154

5/4 Relative Velocity 158

5/5 Instantaneous Center of Zero Velocity 165

5/6 Relative Acceleration 168

5/7 Motion Relative to Rotating Axes 173

5/8 Chapter Review 183

6 Plane Kinetics of Rigid Bodies 184

6/1 Introduction 184

Section A Force, Mass, and Acceleration 186

6/2 General Equations of Motion 186

6/3 Translation 192

6/4 Fixed-Axis Rotation 196

6/5 General Plane Motion 199

Section B Work and Energy 205

6/6 Work-Energy Relations 205

6/7 Acceleration from Work-Energy; Virtual Work 213

Section C Impulse and Momentum 217

6/8 Impulse-Momentum Equations 217

6/9 Chapter Review 225

7 Introduction to Three-Dimensional Dynamics of Rigid Bodies 226

7/1 Introduction 226

Section A Kinematics 227

7/2 Translation 227

7/3 Fixed-Axis Rotation 227

7/4 Parallel-Plane Motion 228

7/5 Rotation about a Fixed Point 228

7/6 General Motion 234

Section B Kinetics 240

7/7 Angular Momentum 240

7/8 Kinetic Energy 243

7/9 Momentum and Energy Equations of Motion 246

7/10 Parallel-Plane Motion 248

7/11 Gyroscopic Motion: Steady Precession 250

7/12 Chapter Review 259

8 Vibration and Time Response 260

8/1 Introduction 260

8/2 Free Vibration of Particles 261

8/3 Forced Vibration of Particles 270

8/4 Vibration of Rigid Bodies 278

8/5 Energy Methods 282

8/6 Chapter Review 286

Appendix A Area Moments of Inertia 287

Appendix B Mass Moments of Inertia 288

B/1 Mass Moments of Inertia about an Axis 288

B/2 Products of Inertia 296

Appendix C Selected Topics of Mathematics 302

C/1 Introduction 302

C/2 Plane Geometry 302

C/3 Solid Geometry 303

C/4 Algebra 303

C/5 Analytic Geometry 304

C/6 Trigonometry 304

C/7 Vector Operations 305

C/8 Series 308

C/9 Derivatives 308

C/10 Integrals 309

C/11 Newton’s Method for Solving Intractable Equations 312

C/12 Selected Techniques for Numerical Integration 314

Appendix D Useful Tables 317

Table D/1 Physical Properties 317

Table D/2 Solar System Constants 318

Table D/3 Properties of Plane Figures 319

Table D/4 Properties of Homogeneous Solids 321

Table D/5 Conversion Factors; SI Units 325

Index I-1

  • Orion Foundations Module: (for pre-requisite topics only).
  • New Video Solutions: Approximately 170 new video solutions walk students through a detailed step-by-step problem-solving process.
  • Algorithmic Automatically Graded Problems: All of the end of section problems in the course are available.
  • Student Practice Modules: Student practice modules allow students to practice on their own with:  
    • Approximately 100 Check Your Understanding questions.
    • Approximately 100 automatically-graded problems and the ability to check their work with official step-by-step solutions (text or video format).
  • QuickStart Assignments: QuickStart Assignments for each course section make course set-up a snap.
  • High Quality Problems: The course employs a wide variety of high quality problems that are known for their accuracy, realism, applications, and variety. Students benefit from realistic applications that motivate their desire to learn and develop their problem solving skills.
  • Sample Problems: Sample problems with worked solutions appear throughout the course, providing examples and reinforcing important concepts and ideas in engineering mechanics.
  • Free Body Diagrams: The course offers comprehensive coverage of how to draw free body diagrams. Through content discussion and assignable homework problems, students learn that drawing free body diagrams is one of the most important skills needed to learn how to solve mechanics problems. Statics teaches students the appropriate techniques and then applies them consistently in solutions of mechanics problems.
  • Additional Support Features: Rich pedagogical features support ease of use. Key Concepts are highlighted within the theory presentations and course section reviews include itemized summaries of the material covered.