TABLE OF CONTENTS
12
Kinematics of a
Particle 3
Chapter Objectives 3
12.1 Introduction 3
12.2 Rectilinear Kinematics: Continuous
Motion 5
12.3 Rectilinear Kinematics: Erratic Motion 19
12.4 General Curvilinear Motion 32
12.5 Curvilinear Motion: Rectangular
Components 34
12.6 Motion of a Projectile 39
12.7 Curvilinear Motion: Normal and Tangential
Components 53
12.8 Curvilinear Motion: Cylindrical
Components 67
12.9 Absolute Dependent Motion Analysis of
Two Particles 81
12.10 Relative-Motion of Two Particles Using
Translating Axes 87
13
Kinetics of a Particle:
Force and
Acceleration 107
Chapter Objectives 107
13.1 Newton’s Second Law of Motion 107
13.2 The Equation of Motion 110
13.3 Equation of Motion for a System of
Particles 112
13.4 Equations of Motion: Rectangular
Coordinates 114
13.5 Equations of Motion: Normal and
Tangential Coordinates 131
13.6 Equations of Motion: Cylindrical
Coordinates 144
*13.7 Central-Force Motion and Space
Mechanics 155
14
Kinetics of a Particle:
Work and Energy 169
Chapter Objectives 169
14.1 The Work of a Force 169
14.2 Principle of Work and Energy 174
14.3 Principle of Work and Energy for a System
of Particles 176
14.4 Power and Efficiency 192
14.5 Conservative Forces and Potential
Energy 201
14.6 Conservation of Energy 205
15
Kinetics of a Particle:
Impulse and
Momentum 221
Chapter Objectives 221
15.1 Principle of Linear Impulse and
Momentum 221
15.2 Principle of Linear Impulse and Momentum
for a System of Particles 228
CONTENTS
xi
xx
15.3 Conservation of Linear Momentum for a
System of Particles 236
15.4 Impact 248
15.5 Angular Momentum 262
15.6 Relation Between Moment of a Force and
Angular Momentum 263
15.7 Principle of Angular Impulse and
Momentum 266
15.8 Steady Flow of a Fluid Stream 277
*15.9 Propulsion with Variable Mass 282
Appendix
A. Mathematical Expressions 670
B. Vector Analysis 672
C. The Chain Rule 677
Fundamental Problems
Partial Solutions and
Answers 680
Answers to Selected
Problems 699
Index 725