Vector Mechanics for Engineers: Dynamics

Description

A primary objective in a first course in mechanics is to help develop a student's ability first to analyze problems in a simple and logical manner and then to apply basic principles to their solutions. A strong conceptual understanding of these basic mechanics principles is essential for successfully solving mechanics problems. This edition of Vector Mechanics for Engineers will help instructors achieve these goals. Continuing in the spirit of its successful previous editions this edition provides conceptually accurate and thorough coverage together with a significant refreshment of the exercise sets and online delivery of homework problems to your students. This edition has undergone a complete rewrite to modernize and streamline the language through the text. Over 650 of the homework problems in the text are new or revised. One of the characteristics of the approach used in this book is that mechanics of particles is clearly separated from the mechanics of rigid bodies. This approach makes it possible to consider simple practical applications at an early stage and to postpone the introduction of the more difficult concepts.McGraw-Hill Education's Connect is also available as an optional add on item. Connect is the only integrated learning system that empowers students by continuously adapting to deliver precisely what they need when they need it how they need it so that class time is more effective. Connect allows the professor to assign homework quizzes and tests easily and automatically grades and records the scores of the student's work. Problems are randomized to prevent sharing of answers an may also have a "multi-step solution" which helps move the students' learning along if they experience difficulty. 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 C......Page 1462 D......Page 1463 F......Page 1464 G......Page 1465 K......Page 1466 M......Page 1467 P......Page 1468 R......Page 1469 S......Page 1470 T......Page 1471 V......Page 1472 Z......Page 1473