Vector Mechanics for Engineers: Dynamics

Cover......Page 1
Title......Page 2
Copyright......Page 3
About the Authors......Page 4
Contents......Page 7
Preface......Page 12
Guided Tour......Page 16
Digital Resources......Page 19
Acknowledgments......Page 21
List of Symbols......Page 22
1. Introduction......Page 24
1.1 What is Mechanics?......Page 25
1.2 Fundamental Concepts and Principles......Page 26
1.3 Systems of Units......Page 28
1.4 Converting between Two Systems of Units......Page 33
1.5 Method of Solving Problems......Page 35
1.6 Numerical Accuracy......Page 37
2. Statics of Particles......Page 38
2.1 Addition of Planar Forces......Page 39
2.2 Adding Forces by Components......Page 52
2.3 Forces and Equilibrium in a Plane......Page 62
2.4 Adding Forces in Space......Page 75
2.5 Forces and Equilibrium in Space......Page 89
Review and Summary......Page 98
Review Problems......Page 102
3. Rigid Bodies: Equivalent Systems of Forces......Page 105
3.1 Forces and Moments......Page 107
3.2 Moment of a Force about an Axis......Page 128
3.3 Couples and Force-Couple Systems......Page 143
3.4 Simplifying Systems of Forces......Page 159
Review and Summary......Page 184
Review Problems......Page 189
4. Equilibrium of Rigid Bodies......Page 192
4.1 Equilibrium in Two Dimensions......Page 195
4.2 Two Special Cases......Page 218
4.3 Equilibrium in Three Dimensions......Page 227
Review and Summary......Page 248
Review Problems......Page 250
5. Distributed Forces: Centroids and Centers of Gravity......Page 253
5.1 Planar Centers of Gravity and Centroids......Page 255
5.2 Further Considerations of Centroids......Page 272
5.3 Additional Applications of Centroids......Page 285
5.4 Centers of Gravity and Centroids of Volumes......Page 296
Review and Summary......Page 314
Review Problems......Page 318
6. Analysis of Structures......Page 320
6.1 Analysis of Trusses......Page 322
6.2 Other Truss Analyses......Page 340
6.3 Frames......Page 353
6.4 Machines......Page 371
Review and Summary......Page 384
Review Problems......Page 387
7. Internal Forces and Moments......Page 390
7.1 Internal Forces in Members......Page 391
7.2 Beams......Page 401
7.3 Relations Among Load, Shear, and Bending Moment......Page 414
*7.4 Cables......Page 426
*7.5 Catenary Cables......Page 439
Review and Summary......Page 447
Review Problems......Page 450
8. Friction......Page 452
8.1 The Laws of Dry Friction......Page 454
8.2 Wedges and Screws......Page 473
*8.3 Friction on Axles, Disks, and Wheels......Page 482
8.4 Belt Friction......Page 492
Review and Summary......Page 502
Review Problems......Page 505
9. Distributed Forces: Moments of Inertia......Page 508
9.1 Moments of Inertia of Areas......Page 510
9.2 Parallel-Axis Theorem and Composite Areas......Page 521
*9.3 Transformation of Moments of Inertia......Page 536
*9.4 Mohr's Circle for Moments of Inertia......Page 546
9.5 Mass Moments of Inertia......Page 552
*9.6 Additional Concepts of Mass Moments of Inertia......Page 572
Review and Summary......Page 587
Review Problems......Page 593
10. Method of Virtual Work......Page 596
*10.1 The Basic Method......Page 597
*10.2 Work, Potential Energy, and Stability......Page 618
Review and Summary......Page 632
Review Problems......Page 635
11. Kinematics of Particles......Page 638
11.1 Rectilinear Motion of Particles......Page 640
11.2 Special Cases and Relative Motion......Page 658
*11.3 Graphical Solutions......Page 675
11.4 Curvilinear Motion of Particles......Page 686
11.5 Non-Rectangular Components......Page 713
Review and Summary......Page 734
Review Problems......Page 738
12. Kinetics of Particles: Newton's Second Law......Page 741
12.1 Newton's Second Law and Linear Momentum......Page 743
12.2 Angular Momentum and Orbital Motion......Page 786
*12.3 Applications of Central-Force Motion......Page 797
Review and Summary......Page 811
Review Problems......Page 815
13. Kinetics of Particles: Energy and Momentum Methods......Page 818
13.1 Work and Energy......Page 820
13.2 Conservation of Energy......Page 850
13.3 Impulse and Momentum......Page 878
13.4 Impacts......Page 900
Review and Summary......Page 928
Review Problems......Page 934
14. Systems of Particles......Page 938
14.1 Applying Newton's Second Law and Momentum Principles to Systems of Particles......Page 940
14.2 Energy and Momentum Methods for a System of Particles......Page 959
*14.3 Variable Systems of Particles......Page 973
Review and Summary......Page 993
Review Problems......Page 997
15. Kinematics of Rigid Bodies......Page 1000
15.1 Translation and Fixed Axis Rotation......Page 1003
15.2 General Plane Motion: Velocity......Page 1020
15.3 Instantaneous Center of Rotation......Page 1038
15.4 General Plane Motion: Acceleration......Page 1052
15.5 Analyzing Motion with Respect to a Rotating Frame......Page 1071
*15.6 Motion of a Rigid Body in Space......Page 1088
*15.7 Motion Relative to a Moving Reference Frame......Page 1105
Review and Summary......Page 1120
Review Problems......Page 1127
16. Plane Motion of Rigid Bodies: Forces and Accelerations......Page 1130
16.1 Kinetics of a Rigid Body......Page 1132
16.2 Constrained Plane Motion......Page 1167
Review and Summary......Page 1108
Review Problems......Page 1110
17. Plane Motion of Rigid Bodies: Energy and Momentum Methods......Page 1204
17.1 Energy Methods for a Rigid Body......Page 1206
17.2 Momentum Methods for a Rigid Body......Page 1234
17.3 Eccentric Impact......Page 1257
Review and Summary......Page 1279
Review Problems......Page 1283
18. Kinetics of Rigid Bodies in Three Dimensions......Page 1287
18.1 Energy and Momentum of a Rigid Body......Page 1289
*18.2 Motion of a Rigid Body in Three Dimensions......Page 1308
*18.3 Motion of a Gyroscope......Page 1328
Review and Summary......Page 1346
Review Problems......Page 1351
19. Mechanical Vibrations......Page 1355
19.1 Vibrations without Damping......Page 1357
19.2 Free Vibrations of Rigid Bodies......Page 1373
19.3 Applying the Principle of Conservation of Energy......Page 1387
19.4 Forced Vibrations......Page 1398
19.5 Damped Vibrations......Page 1412
Review and Summary......Page 1426
Review Problems......Page 1431
Appendix: Fundamentals of Engineering Examination......Page 1436
Answers to Problems......Page 1438
Photo Credits......Page 1460
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