Engineering Mechanics Dynamics

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.

Dr. James L. Meriam has contributed to the field of engineering mechanics as one of the premier engineering educators during the second half of the twentieth century. Dr. Meriam earned his B.E., M. Eng., and Ph.D. degrees from Yale University. He had early industrial experience with Pratt and Whitney Aircraft and the General Electric Company. During the Second World War, he served in the U.S. Coast Guard. He was a member of the faculty of the University of California-Berkeley, Dean of Engineering at Duke University, a faculty member at the California Polytechnic State University, and visiting professor at the University of California-Santa Barbara. He retired in 1990. Professor Meriam always placed great emphasis on teaching, and this trait was recognized by his students wherever he taught. At Berkeley in 1963, he was the first recipient of the Outstanding Faculty Award of Tau Beta Pi, given primarily for excellence in teaching. In 1978, he received the Distinguished Educator Award for Outstanding Service to Engineering Mechanics Education from the American Society for Engineering Education, and in 1992 was the Society's recipient of the Benjamin Garver Lamme Award, which is ASEE's highest annual national award.

Dr. L. G. Kraige, coauthor of the Engineering Mechanics series since the early 1980s, has also made significant contributions to mechanics education. Dr. Kraige earned his B.S., M.S., and Ph.D. degrees at the University of Virginia, principally in aerospace engineering, and he currently serves as Professor of Engineering Science and Mechanics at Virginia Polytechnic Institute and State University. In addition to his widely recognized research and publications in the field of spacecraft dynamics. Professor Kraige has devoted his attention to the teaching of mechanics at both introductory and advanced levels. His outstanding teaching has been widely recognized and has earned him teaching awards at the departmental, college, university, state, regional, and national levels.

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

Problems P-1

Chapter 1 P-1

Chapter 2 P-3

Chapter 3 P-41

Chapter 4 P-97

Chapter 5 P-118

Chapter 6 P-152

Chapter 7 P-195

Chapter 8 P-224

Index I-1

Problem Answers Pa-1

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