Engineering Mechanics Combined Statics & Dynamics. (9780138149291) 0138149291, 9780138149291

Table of contents :
Cover......Page 1
Contents......Page 12
1.1 Mechanics......Page 20
1.2 Fundamental Concepts......Page 21
1.3 Units of Measurement......Page 24
1.4 The International System of Units......Page 26
1.5 Numerical Calculations......Page 27
1.6 General Procedure for Analysis......Page 29
2.1 Scalars and Vectors......Page 34
2.2 Vector Operations......Page 35
2.3 Vector Addition of Forces......Page 37
2.4 Addition of a System of Coplanar Forces......Page 49
2.5 Cartesian Vectors......Page 60
2.6 Addition of Cartesian Vectors......Page 63
2.7 Position Vectors......Page 73
2.8 Force Vector Directed Along a Line......Page 76
2.9 Dot Product......Page 86
3.1 Condition for the Equilibrium of a Particle......Page 102
3.2 The Free-Body Diagram......Page 103
3.3 Coplanar Force Systems......Page 106
3.4 Three-Dimensional Force Systems......Page 120
4.1 Moment of a Force—Scalar Formulation......Page 134
4.2 Cross Product......Page 138
4.3 Moment of a Force—Vector Formulation......Page 141
4.4 Principle of Moments......Page 145
4.5 Moment of a Force about a Specified Axis......Page 156
4.6 Moment of a Couple......Page 165
4.7 Simplification of a Force and Couple System......Page 177
4.8 Further Simplification of a Force and Couple System......Page 187
4.9 Reduction of a Simple Distributed Loading......Page 200
5.1 Conditions for Rigid-Body Equilibrium......Page 216
5.2 Free-Body Diagrams......Page 218
5.3 Equations of Equilibrium......Page 231
5.4 Two- and Three-Force Members......Page 241
5.5 Free-Body Diagrams......Page 254
5.6 Equations of Equilibrium......Page 259
5.7 Constraints and Statical Determinacy......Page 260
6.1 Simple Trusses......Page 280
6.2 The Method of Joints......Page 283
6.3 Zero-Force Members......Page 289
6.4 The Method of Sections......Page 297
6.5 Space Trusses......Page 307
6.6 Frames and Machines......Page 311
7.1 Internal Forces Developed in Structural Members......Page 346
7.2 Shear and Moment Equations and Diagrams......Page 362
7.3 Relations between Distributed Load, Shear, and Moment......Page 371
7.4 Cables......Page 382
8.1 Characteristics of Dry Friction......Page 404
8.2 Problems Involving Dry Friction......Page 409
8.3 Wedges......Page 429
8.4 Frictional Forces on Screws......Page 431
8.5 Frictional Forces on Flat Belts......Page 438
8.6 Frictional Forces on Collar Bearings, Pivot Bearings, and Disks......Page 446
8.7 Frictional Forces on Journal Bearings......Page 449
8.8 Rolling Resistance......Page 451
9.1 Center of Gravity, Center of Mass, and the Centroid of a Body......Page 464
9.2 Composite Bodies......Page 487
9.3 Theorems of Pappus and Guldinus......Page 501
9.4 Resultant of a General Distributed Loading......Page 510
9.5 Fluid Pressure......Page 511
10.1 Definition of Moments of Inertia for Areas......Page 528
10.2 Parallel-Axis Theorem for an Area......Page 529
10.3 Radius of Gyration of an Area......Page 530
10.4 Moments of Inertia for Composite Areas......Page 539
10.5 Product of Inertia for an Area......Page 547
10.6 Moments of Inertia for an Area about Inclined Axes......Page 551
10.7 Mohr’s Circle for Moments of Inertia......Page 554
10.8 Mass Moment of Inertia......Page 562
11.1 Definition of Work......Page 580
11.2 Principle of Virtual Work......Page 582
11.3 Principle of Virtual Work for a System of Connected Rigid Bodies......Page 584
11.4 Conservative Forces......Page 596
11.5 Potential Energy......Page 597
11.6 Potential-Energy Criterion for Equilibrium......Page 599
11.7 Stability of Equilibrium Configuration......Page 600
Appendix A. Mathematical Review and Expressions......Page 615
Fundamental Problems Partial Solutions and Answers......Page 620
Answers to Selected Problems......Page 637
C......Page 667
F......Page 668
M......Page 669
P......Page 670
T......Page 671
Z......Page 672
12.1 Introduction......Page 674
12.2 Rectilinear Kinematics: Continuous Motion......Page 676
12.3 Rectilinear Kinematics: Erratic Motion......Page 690
12.4 General Curvilinear Motion......Page 703
12.5 Curvilinear Motion: Rectangular Components......Page 705
12.6 Motion of a Projectile......Page 710
12.7 Curvilinear Motion: Normal and Tangential Components......Page 724
12.8 Curvilinear Motion: Cylindrical Components......Page 738
12.9 Absolute Dependent Motion Analysis of Two Particles......Page 752
12.10 Relative-Motion of Two Particles Using Translating Axes......Page 758
13.1 Newton’s Second Law of Motion......Page 778
13.2 The Equation of Motion......Page 781
13.3 Equation of Motion for a System of Particles......Page 783
13.4 Equations of Motion: Rectangular Coordinates......Page 785
13.5 Equations of Motion: Normal and Tangential Coordinates......Page 802
13.6 Equations of Motion: Cylindrical Coordinates......Page 815
13.7 Central-Force Motion and Space Mechanics......Page 826
14.1 The Work of a Force......Page 840
14.2 Principle of Work and Energy......Page 845
14.3 Principle of Work and Energy for a System of Particles......Page 847
14.4 Power and Efficiency......Page 863
14.5 Conservative Forces and Potential Energy......Page 872
14.6 Conservation of Energy......Page 876
15.1 Principle of Linear Impulse and Momentum......Page 892
15.2 Principle of Linear Impulse and Momentum for a System of Particles......Page 899
15.3 Conservation of Linear Momentum for a System of Particles......Page 907
15.4 Impact......Page 919
15.5 Angular Momentum......Page 933
15.6 Relation Between Moment of a Force and Angular Momentum......Page 934
15.7 Principle of Angular Impulse and Momentum......Page 937
15.8 Steady Flow of a Fluid Stream......Page 948
15.9 Propulsion with Variable Mass......Page 953
Review 1. Kinematics and Kinetics of a Particle......Page 969
16.1 Planar Rigid-Body Motion......Page 982
16.2 Translation......Page 984
16.3 Rotation about a Fixed Axis......Page 985
16.4 Absolute Motion Analysis......Page 1000
16.5 Relative-Motion Analysis: Velocity......Page 1008
16.6 Instantaneous Center of Zero Velocity......Page 1022
16.7 Relative-Motion Analysis: Acceleration......Page 1034
16.8 Relative-Motion Analysis using Rotating Axes......Page 1048
17.1 Moment of Inertia......Page 1066
17.2 Planar Kinetic Equations of Motion......Page 1080
17.3 Equations of Motion: Translation......Page 1083
17.4 Equations of Motion: Rotation about a Fixed Axis......Page 1096
17.5 Equations of Motion: General Plane Motion......Page 1111
18.1 Kinetic Energy......Page 1126
18.2 The Work of a Force......Page 1129
18.3 The Work of a Couple......Page 1131
18.4 Principle of Work and Energy......Page 1133
18.5 Conservation of Energy......Page 1148
19.1 Linear and Angular Momentum......Page 1166
19.2 Principle of Impulse and Momentum......Page 1172
19.3 Conservation of Momentum......Page 1188
19.4 Eccentric Impact......Page 1192
Review 2. Planar Kinematics and Kinetics of a Rigid Body......Page 1205
20.1 Rotation About a Fixed Point......Page 1220
20.2 The Time Derivative of a Vector Measured from Either a Fixed or Translating-Rotating System......Page 1223
20.3 General Motion......Page 1228
20.4 Relative-Motion Analysis Using Translating and Rotating Axes......Page 1237
21.1 Moments and Products of Inertia......Page 1250
21.2 Angular Momentum......Page 1260
21.3 Kinetic Energy......Page 1263
21.4 Equations of Motion......Page 1271
21.5 Gyroscopic Motion......Page 1285
21.6 Torque-Free Motion......Page 1291
22.1 Undamped Free Vibration......Page 1302
22.2 Energy Methods......Page 1316
22.3 Undamped Forced Vibration......Page 1322
22.4 Viscous Damped Free Vibration......Page 1326
22.5 Viscous Damped Forced Vibration......Page 1329
22.6 Electrical Circuit Analogs......Page 1332
A. Mathematical Expressions......Page 1341
B. Vector Analysis......Page 1343
C. The Chain Rule......Page 1348
Fundamental Problems Partial Solutions and Answers......Page 1351
Answers to Selected Problems......Page 1370
C......Page 1396
E......Page 1397
I......Page 1398
L......Page 1399
P......Page 1400
R......Page 1401
U......Page 1402
Z......Page 1403