Vector Mechanics for Engineers: Dynamics

Vector Mechanics for Engineers: Dynamics

by Ferdinand Pierre Beer, E. Russell Johnston

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Product Details

ISBN-13: 9780070799264
Publisher: McGraw-Hill Companies, The
Publication date: 03/01/1988
Edition description: Older Edition
Pages: 592
Product dimensions: 8.58(w) x 9.41(h) x 1.31(d)

Table of Contents

Preface xiii
List of Symbols
xix
Kinematics of Particles
581(86)
Introduction to Dynamics
582(1)
Rectilinear Motion of Particles
583(1)
Position, Velocity, and Acceleration
583(4)
Determination of the Motion of a Particle
587(9)
Uniform Rectilinear Motion
596(1)
Uniformly Accelerated Rectilinear Motion
597(1)
Motion of Several Particles
598(12)
Graphical Solution of Rectilinear-Motion Problems
610(1)
Other Graphical Methods
611(10)
Curvilinear Motion of Particles
621(1)
Position Vector, Velocity, and Acceleration
621(2)
Derivatives of Vector Functions
623(2)
Rectangular Components of Velocity and Acceleration
625(1)
Motion Relative to a Frame in Translation
626(17)
Tangential and Normal Components
643(3)
Radial and Transverse Components
646(21)
Review and Summary for Chapter 11
659(4)
Review Problems
663(4)
Kinetics of Particles: Newton's Second Law
667(62)
Introduction
668(1)
Newton's Second Law of Motion
669(1)
Linear Momentum of a Particle. Rate of Change of Linear Momentum
670(1)
Systems of Units
671(2)
Equations of Motion
673(2)
Dynamic Equilibrium
675(20)
Angular Momentum of a Particle. Rate of Change of Angular Momentum
695(1)
Equations of Motion in Terms of Radial and Transverse Components
696(1)
Motion under a Central Force. Conservation of Angular Momentum
697(1)
Newton's Law of Gravitation
698(9)
Trajectory of a Particle under a Central Force
707(1)
Application to Space Mechanics
708(3)
Kepler's Laws of Planetary Motion
711(18)
Review and Summary for Chapter 12
720(4)
Review Problems
724(5)
Kinetics of Particles: Energy and Momentum Methods
729(98)
Introduction
730(1)
Work of a Force
730(4)
Kinetic Energy of a Particle. Principle of Work and Energy
734(2)
Applications of the Principle of Work and Energy
736(1)
Power and Efficiency
737(18)
Potential Energy
755(2)
Conservative Forces
757(1)
Conservation of Energy
758(2)
Motion under a Conservative Central Force. Application to Space Mechanics
760(19)
Principle of Impulse and Momentum
779(3)
Impulsive Motion
782(12)
Impact
794(1)
Direct Central Impact
794(3)
Oblique Central Impact
797(3)
Problems Involving Energy and Momentum
800(27)
Review and Summary for Chapter 13
816(6)
Review Problems
822(5)
Systems of Particles
827(58)
Introduction
828(1)
Application of Newton's Laws to the Motion of a System of Particles. Effective Forces
828(3)
Linear and Angular Momentum of a System of Particles
831(1)
Motion of the Mass Center of a System of Particles
832(2)
Angular Momentum of a System of Particles about Its Mass Center
834(2)
Conservation of Momentum for a System of Particles
836(9)
Kinetic Energy of a System of Particles
845(2)
Work-Energy Principle. Conservation of Energy for a System of Particles
847(1)
Principle of Impulse and Momentum for a System of Particles
847(11)
Variable Systems of Particles
858(1)
Steady Stream of Particles
858(3)
Systems Gaining or Losing Mass
861(24)
Review and Summary for Chapter 14
876(4)
Review Problems
880(5)
Kinematics of Rigid Bodies
885(105)
Introduction
886(2)
Translation
888(1)
Rotation about a Fixed Axis
889(3)
Equations Defining the Rotation of a Rigid Body about a Fixed Axis
892(10)
General Plane Motion
902(2)
Absolute and Relative Velocity in Plane Motion
904(11)
Instantaneous Center of Rotation in Plane Motion
915(11)
Absolute and Relative Acceleration in Plane Motion
926(2)
Analysis of Plane Motion in Terms of a Parameter
928(12)
Rate of Change of a Vector with Respect to a Rotating Frame
940(2)
Plane Motion of a Particle Relative to a Rotating Frame. Coriolis Acceleration
942(11)
Motion about a Fixed Point
953(3)
General Motion
956(11)
Three-Dimensional Motion of a Particle Relative to a Rotating Frame. Coriolis Acceleration
967(1)
Frame of Reference in General Motion
968(22)
Review and Summary for Chapter 15
979(7)
Review Problems
986(4)
Plane Motion of Rigid Bodies: Forces and Accelerations
990(55)
Introduction
991(1)
Equations of Motion for a Rigid Body
992(1)
Angular Momentum of a Rigid Body in Plane Motion
993(1)
Plane Motion of a Rigid Body. D'Alembert's Principle
994(1)
A Remark on the Axioms of the Mechanics of Rigid Bodies
995(1)
Solution of Problems Involving the Motion of a Rigid Body
996(1)
Systems of Rigid Bodies
997(19)
Constrained Plane Motion
1016(29)
Review and Summary for Chapter 16
1039(2)
Review Problems
1041(4)
Plane Motion of Rigid Bodies: Energy and Momentum Methods
1045(61)
Introduction
1046(1)
Principle of Work and Energy for a Rigid Body
1046(1)
Work of Forces Acting on a Rigid Body
1047(1)
Kinetic Energy of a Rigid Body in Plane Motion
1048(1)
Systems of Rigid Bodies
1049(1)
Conservation of Energy
1050(1)
Power
1051(17)
Principle of Impulse and Momentum for the Plane Motion of a Rigid Body
1068(3)
Systems of Rigid Bodies
1071(1)
Conservation of Angular Momentum
1071(13)
Impulsive Motion
1084(1)
Eccentric Impact
1084(22)
Review and Summary for Chapter 17
1098(4)
Review Problems
1102(4)
Kinetics of Rigid Bodies in Three Dimensions
1106(65)
Introduction
1107(1)
Angular Momentum of a Rigid Body in Three Dimensions
1108(4)
Application of the Principle of Impulse and Momentum to the Three-Dimensional Motion of a Rigid Body
1112(1)
Kinetic Energy of a Rigid Body in Three Dimensions
1113(13)
Motion of a Rigid Body in Three Dimensions
1126(1)
Euler's Equations of Motion. Extension of d'Alembert's Principle to the Motion of a Rigid Body in Three Dimensions
1127(1)
Motion of a Rigid Body about a Fixed Point
1128(1)
Rotation of a Rigid Body about a Fixed Axis
1129(15)
Motion of a Gyroscope. Eulerian Angles
1144(2)
Steady Precession of a Gyroscope
1146(1)
Motion of an Axisymmetrical Body under No Force
1147(24)
Review and Summary for Chapter 18
1160(5)
Review Problems
1165(6)
Mechanical Vibrations
1171(72)
Introduction
1172(1)
Vibrations without Damping
1172(1)
Free Vibrations of Particles. Simple Harmonic Motion
1172(4)
Simple Pendulum (Approximate Solution)
1176(1)
Simple Pendulum (Exact Solution)
1177(9)
Free Vibrations of Rigid Bodies
1186(12)
Application of the Principle of Conservation of Energy
1198(11)
Forced Vibrations
1209(10)
Damped Vibrations
1219(1)
Damped Free Vibrations
1219(3)
Damped Forced Vibrations
1222(1)
Electrical Analogues
1223(20)
Review and Summary for Chapter 19
1234(5)
Review Problems
1239(4)
Appendix A Some Useful Definitions and Properties of Vector Algebra 1243(8)
Appendix B Moments of Inertia of Masses 1251(38)
Index 1289(12)
Answers to Problems 1301

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