Meriam & Kraige – Engineering Mechanics – Dynamics 8th Edition

Meriam & Kraige – Engineering Mechanics – Dynamics 8th Edition
J . L . MERIAM, L . G . KRAIGE, J . N . BOLTON
PART I
DYNAMICS OF PARTICLES 1
CHAPTER 1
INTRODUCTION TO DYNAMICS 3
1/1 History and Modern Applications 3
1/2 Basic Concepts 4
1/3 Newton’s Laws 6
1/4 Units 6
1/5 Gravitation 8
1/6 Dimensions 11
1/7 Solving Problems in Dynamics 12
1/8 Chapter Review 15
CHAPTER 2
KINEMATICS OF PARTICLES 21
2/1 Introduction 21
2/2 Rectilinear Motion 22
2/3 Plane Curvilinear Motion 42
2/4 Rectangular Coordinates (x-y) 45
2/5 Normal and Tangential Coordinates (n-t) 57
2/6 Polar Coordinates 69
2/7 Space Curvilinear Motion 81
2/8 Relative Motion (Translating Axes) 90
2/9 Constrained Motion of Connected Particles 99
2/10 Chapter Review 107xiv Contents
CHAPTER 3
KINETICS OF PARTICLES 117
3/1 Introduction 117
SECTION A FORCE, MASS, AND ACCELERATION 118
3/2 Newton’s Second Law 118
3/3 Equation of Motion and Solution of Problems 122
3/4 Rectilinear Motion 124
3/5 Curvilinear Motion 138
SECTION B WORK AND ENERGY 153
3/6 Work and Kinetic Energy 153
3/7 Potential Energy 173
SECTION C IMPULSE AND MOMENTUM 188
3/8 Introduction 188
3/9 Linear Impulse and Linear Momentum 188
3/10 Angular Impulse and Angular Momentum 202
SECTION D SPECIAL APPLICATIONS 214
3/11 Introduction 214
3/12 Impact 214
3/13 Central-Force Motion 226
3/14 Relative Motion 239
3/15 Chapter Review 249
CHAPTER 4
KINETICS OF SYSTEMS OF PARTICLES 259
4/1 Introduction 259
4/2 Generalized Newton’s Second Law 260
4/3 Work-Energy 261
4/4 Impulse-Momentum 263
4/5 Conservation of Energy and Momentum 267
4/6 Steady Mass Flow 280
4/7 Variable Mass 294
4/8 Chapter Review 305
PART II
DYNAMICS OF RIGID BODIES 311
CHAPTER 5
PLANE KINEMATICS OF RIGID BODIES 313
5/1 Introduction 313
5/2 Rotation 315Contents xv
5/3 Absolute Motion 327
5/4 Relative Velocity 338
5/5 Instantaneous Center of Zero Velocity 352
5/6 Relative Acceleration 361
5/7 Motion Relative to Rotating Axes 374
5/8 Chapter Review 390
CHAPTER 6
PLANE KINETICS OF RIGID BODIES 399
6/1 Introduction 399
SECTION A FORCE, MASS, AND ACCELERATION 401
6/2 General Equations of Motion 401
6/3 Translation 408
6/4 Fixed-Axis Rotation 418
6/5 General Plane Motion 429
SECTION B WORK AND ENERGY 446
6/6 Work-Energy Relations 446
6/7 Acceleration from Work-Energy; Virtual Work 462
SECTION C IMPULSE AND MOMENTUM 471
6/8 Impulse-Momentum Equations 471
6/9 Chapter Review 489
CHAPTER 7
INTRODUCTION TO THREE-DIMENSIONAL
DYNAMICS OF RIGID BODIES 499
7/1 Introduction 499
SECTION A KINEMATICS 500
7/2 Translation 500
7/3 Fixed-Axis Rotation 500
7/4 Parallel-Plane Motion 501
7/5 Rotation about a Fixed Point 501
7/6 General Motion 513
SECTION B KINETICS 525
7/7 Angular Momentum 525
7/8 Kinetic Energy 528
7/9 Momentum and Energy Equations of Motion 536
7/10 Parallel-Plane Motion 538
7/11 Gyroscopic Motion: Steady Precession 544
7/12 Chapter Review 562xvi Contents
CHAPTER 8
VIBRATION AND TIME RESPONSE 569
8/1 Introduction 569
8/2 Free Vibration of Particles 570
8/3 Forced Vibration of Particles 587
8/4 Vibration of Rigid Bodies 600
8/5 Energy Methods 610
8/6 Chapter Review 619
APPENDICES
APPENDIX A
AREA MOMENTS OF INERTIA 625
APPENDIX B
MASS MOMENTS OF INERTIA 627
B/1 Mass Moments of Inertia about an Axis 627
B/2 Products of Inertia 646
APPENDIX C
SELECTED TOPICS OF MATHEMATICS 657
C/1 Introduction 657
C/2 Plane Geometry 657
C/3 Solid Geometry 658
C/4 Algebra 658
C/5 Analytic Geometry 659
C/6 Trigonometry 659
C/7 Vector Operations 660
C/8 Series 663
C/9 Derivatives 663
C/10 Integrals 664
C/11 Newton’s Method for Solving Intractable Equations 666
C/12 Selected Techniques for Numerical Integration 668
APPENDIX D
USEFUL TABLES 673
Table D/1 Physical Properties 673
Table D/2 Solar System Constants 674
Table D/3 Properties of Plane Figures 675
Table D/4 Properties of Homogeneous Solids 677
INDEX 681
PROBLEM ANSWERS 68
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