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Contents
Part I Section-by-Section, Chapter-by-Chapter Summaries
with Review Questions and Answers 1
12 Kinematics of a Particle 3
Main Goals of this Chapter: 3
12.1 Introduction 3
12.2 Rectilinear Kinematics: Continuous Motion 4
12.3 Rectilinear Kinematics: Erratic Motion 5
12.4 General Curvilinear Motion 5
12.5 Curvilinear Motion: Rectangular Components 6
12.6 Motion of a Projectile 7
12.7 Curvilinear Motion: Normal and Tangential Components 7
12.8 Curvilinear Motion: Cylindrical Components 8
12.9 Absolute Dependent Motion Analysis of Two Particles 9
12.10 Relative-Motion of Two Particles Using Translating Axes 10
Helpful Tips and Suggestions 11
Review Questions 11
13 Kinetics of a Particle: Force and Acceleration 12
Main Goals of this Chapter: 12
13.1 Newton’s Second Law of Motion 12
13.2 The Equation of Motion 13
13.3 Equation of Motion for a System of Particles 13
13.4 Equations of Motion: Rectangular Coordinates 13
13.5 Equations of Motion: Normal and Tangential Coordinates 15
13.6 Equations of Motion: Cylindrical Coordinates 16
13.7 Central-Force Motion and Space Mechanics 17
Helpful Tips and Suggestions 18
Review Questions 18
14 Kinetics of a Particle: Work and Energy 19
Main Goals of this Chapter: 19
14.1 TheWork of a Force 19
14.2 Principle of Work and Energy 21
14.3 Principle of Work and Energy for a System of Particles 22
14.4 Power and Efficiency 22
14.5 Conservative Forces and Potential Energy 23
14.6 Conservation of Energy 24
Helpful Tips and Suggestions 24
Review Questions 24
15 Kinetics of a Particle: Impulse and Momentum 25
Main Goals of this Chapter: 25
15.1 Principle of Linear Impulse and Momentum 25
15.2 Principle of Linear Impulse and Momentum for a System of Particles 26
15.3 Conservation of Linear Momentum for a System of Particles 27
15.4 Impact 28
15.5 Angular Momentum 29
15.6 Relation Between Moment of a Force and Angular Momentum 30
15.7 Angular Impulse and Momentum Principles 30
15.8 Steady Fluid Streams 32
15.9 Propulsion with Variable Mass 32
Helpful Tips and Suggestions 33
Review Questions 33
16 Planar Kinematics of a Rigid Body 34
Main Goals of this Chapter: 34
16.1 Planar Rigid-Body Motion 34
16.2 Translation 35
16.3 Rotation about a Fixed Axis 36
16.4 Absolute Motion Analysis 38
16.5 Relative Motion Analysis: Velocity 39
16.6 Instantaneous Center of Zero Velocity 39
16.7 Relative-Motion Analysis:Acceleration 41
16.8 Relative-Motion Analysis Using Rotating Axes 42
Helpful Tips and Suggestions 43
Review Questions 43
17 Planar Kinetics of a Rigid Body: Force and Acceleration 44
Main Goals of this Chapter: 44
17.1 Moment of Inertia 44
17.2 Planar Kinetic Equations of Motion 45
17.3 Equations of Motion: Translation 46
17.4 Equations of Motion: Rotation About a Fixed Axis 47
17.5 Equations of Motion: General Plane Motion 49
Helpful Tips and Suggestions 50
Review Questions 50
18 Planar Kinetics of a Rigid Body: Work and Energy 51
Main Goals of this Chapter: 51
18.1 Kinetic Energy 51
18.2 TheWork of a Force 52
18.3 TheWork of a Couple 52
18.4 Principle of Work and Energy 53
18.5 Conservation of Energy 53
Helpful Tips and Suggestions 54
Review Questions 54
19 Planar Kinetics of a Rigid Body: Impulse and Momentum 55
Main Goals of this Chapter: 55
19.1 Linear and Angular Momentum 55
19.2 Principle of Impulse and Momentum 57
19.3 Conservation of Momentum 58
19.4 Eccentric Impact 59
Helpful Tips and Suggestions 59
Review Questions 60
20 Three-Dimensional Kinematics of a Rigid Body 61
Main Goals of this Chapter: 61
20.1 Rotation About a Fixed Point 61
20.2 The Time derivative of a Vector Measured from Either a Fixed or Translating-Rotating System 62
20.3 General Motion 63
20.4 Relative-Motion Analysis Using Translating and Rotating Axes 63
Helpful Tips and Suggestions 64
Review Questions 65
21 Three-Dimensional Kinetics of a Rigid Body 66
Main Goals of this Chapter: 66
21.1 Moments and Products of Inertia 66
21.2 Angular Momentum 69
21.3 Kinetic Energy 69
21.4 Equations of Motion 70
21.5 Gyroscopic Motion 72
21.6 Torque-Free Motion 74
Helpful Tips and Suggestions 75
Review Questions 75
22 Vibrations 76
Main Goals of this Chapter: 76
22.1 Undamped Free Vibration 76
22.2 Energy Methods 78
22.3 Undamped Forced Vibration 79
22.4 Viscous Damped Free Vibration 79
22.5 Viscous Damped Forced Vibration 81
Helpful Tips and Suggestions 81
Review Questions 81
ANSWERS TO REVIEW QUESTIONS 82
Part II Free-Body Diagram Workbook 89
1 Basic Concepts in Dynamics 91
1.1 Equations of Motion 91
2 Free-Body Diagrams: the Basics 93
2.1 Free-Body Diagram: Particle 93
2.2 Free-Body Diagram: Rigid Body 95
3 Problems 99
3.1 Free-Body Diagrams in Particle Kinetics 101
3.2 Free-Body Diagrams in Rigid Body Kinetics 121