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| General Principles | |
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| Chapter Objectives | |
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| Mechanics | |
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| Fundamental Concepts | |
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| Units of Measurement | |
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| T he International System of Units | |
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| Numerical Calculations | |
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| General Procedure for Analysis | |
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| Force Vectors | |
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| Chapter Objectives | |
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| Scalars and Vectors | |
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| Vector Operations | |
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| Vector Addition of Forces | |
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| Addition of a System of Coplanar Forces | |
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| C artesian Vectors | |
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| Addition of Cartesian Vectors | |
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| Position Vectors | |
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| Force Vector Directed Along a Line | |
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| Dot Product | |
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| Equilibrium of a Particle | |
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| Chapter Objectives | |
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| Condition for the Equilibrium of a Particle | |
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| The Free-Body Diagram | |
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| Coplanar Force Systems | |
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| Three-Dimensional Force Systems | |
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| Force System Resultants | |
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| Chapter Objectives | |
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| Moment of a Force-Scalar Formulation | |
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| Cross Product | |
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| Moment of a Force-Vector Formulation | |
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| Principle of Moments | |
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| Moment of a Force about a Specified Axis | |
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| Moment of a Couple | |
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| Simplification of a Force and Couple System | |
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| Further Simplification of a Force and Couple System | |
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| Reduction of a Simple Distributed Loading | |
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| Equilibrium of a Rigid Body | |
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| Chapter Objectives | |
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| Conditions for Rigid-Body Equilibrium | |
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| Free-Body Diagrams | |
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| Equations of Equilibrium | |
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| Two- and Three-Force Members | |
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| Free-Body Diagrams | |
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| Equations of Equilibrium | |
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| Constraints and Statical Determinacy | |
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| Structural Analysis | |
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| Chapter Objectives | |
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| Simple Trusses | |
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| The Method of Joints | |
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| Zero-Force Members | |
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| The Method of Sections | |
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| Space Trusses | |
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| Frames and Machines | |
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| Internal Forces | |
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| Chapter Objectives | |
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| Internal Loadings Developed in Structural Members | |
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| Shear and Moment Equations and Diagrams | |
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| Relations between Distributed Load, Shear, and Moment | |
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| Cables | |
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| Friction | |
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| Chapter Objectives | |
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| Characteristics of Dry Friction | |
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| Problems Involving Dry Friction | |
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| Wedges | |
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| Frictional Forces on Screws | |
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| Frictional Forces on Flat Belts | |
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| Frictional Forces on Collar Bearings, Pivot Bearings, and Disks | |
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| Frictional Forces on Journal Bearings | |
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| Rolling Resistance | |
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| Center of Gravity and Centroid | |
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| Chapter Objectives | |
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| Center of Gravity, Center of Mass, and the Centroid of a Body | |
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| Composite Bodies | |
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| Theorems of Pappus and Guldinus | |
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| Resultant of a General Distributed Loading | |
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| Fluid Pressure | |
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| Moments of Inertia | |
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| Chapter Objectives | |
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| Definition of Moments of Inertia for Areas | |
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| Parallel-Axis Theorem for an Area | |
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| Radius of Gyration of an Area | |
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| Moments of Inertia for Composite Areas | |
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| Product of Inertia for an Area | |
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| Moments of Inertia for an Area about Inclined Axes | |
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| Mohr's Circle for Moments of Inertia | |
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| Mass Moment of Inertia | |
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| Virtual Work | |
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| Chapter Objectives | |
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| Definition of Work | |
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| Principle of Virtual Work | |
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| Principle of Virtual Work for a System of Connected Rigid Bodies | |
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| Conservative Forces | |
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| Potential Energy | |
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| Potential-Energy Criterion for Equilibrium | |
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| Stability of Equilibrium Configuration | |
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| Appendix | |
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| Kinematics of a Particle | |
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| Introduction | |
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| Rectilinear Kinematics: Continuous Motion | |
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| Rectilinear Kinematics: Erratic Motion | |
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| General Curvilinear Motion | |
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| Curvilinear Motion: Rectangular Components | |
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| Motion of a Projectile | |
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| Curvilinear Motion: Normal and Tangential Components | |
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| Curvilinear Motion: Cylindrical Components | |
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| Absolute Dependent Motion Analysis of Two Particles | |
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| Relative-Motion of Two Particles Using Translating Axes | |
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| Kinetics of a Particle: Force and Acceleration | |
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| Newton's Second Law of Motion | |
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| The Equation of Motion | |
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| Equation of Motion for a System of Particles | |
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| Equations of Motion: Rectangular Coordinates | |
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| Equations of Motion: Normal and Tangential Coordinates | |
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| Equations of Motion: Cylindrical Coordinates | |
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| Central-Force Motion and Space Mechanics | |
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| Kinetics of a Particle: Work and Energy | |
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| The Work of a Force | |
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| Principle of Work and Energy | |
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| Principle of Work and Energy for a System of Particles | |
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| Power and Efficiency | |
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| Conservative Forces and Potential Energy | |
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| Conservation of Energy | |
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| Kinetics of a Particle: Impulse and Momentum | |
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| Principle of Linear Impulse and Momentum | |
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| Principle of Linear Impulse and Momentum for a System of Particles | |
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| Conservation of Linear Momentum for a System of Particles | |
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| Impact | |
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| Angular Momentum | |
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| Relation Between Moment of a Force and Angular Momentum | |
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| Principle of Angular Impulse and Momentum | |
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| Steady Flow of a Fluid Stream | |
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| Propulsion with Variable Mass | |
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| Planar Kinematics of a Rigid | |
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| Body | |
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| Planar Rigid-Body Motion | |
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| Translation | |
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| Rotation about a Fixed Axis | |
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| Absolute Motion Analysis | |
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| Relative-Motion Analysis: Velocity | |
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| Instantaneous Center of Zero Velocity | |
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| Relative-Motion Analysis: Acceleration | |
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| Relative-Motion Analysis using Rotating Axes | |
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| Planar Kinetics of a Rigid Body: | |
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| Force and Acceleration | |
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| Mass Moment of Inertia | |
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| Planar Kinetic Equations of Motion | |
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| Equations of Motion: Translation | |
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| Equations of Motion: Rotation about a Fixed Axis | |
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| Equations of Motion: General Plane Motion | |
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| Planar Kinetics of a Rigid Body: | |
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| Work and Energy | |
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| Kinetic Energy | |
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| The Work of a Force | |
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| The Work of a Couple Moment | |
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| Principle of Work and Energy | |
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| Conservation of Energy | |
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| Planar Kinetics of a Rigid Body: | |
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| Impulse and Momentum | |
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| Linear and Angular Momentum | |
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| Principle of Impulse and Momentum | |
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| Conservation of Momentum | |
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| Eccentric Impact | |
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| Three-Dimensional Kinematics of a Rigid Body | |
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| Rotation About a Fixed Point | |
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| The Time Derivative of a Vector Measured from Either a Fixed or Translating-Rotating System | |
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| General Motion | |
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| Relative-Motion Analysis Using Translating and Rotating Axes | |
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| Three-Dimensional Kinetics of a Rigid Body | |
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| Moments and Products of Inertia | |
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| Angular Momentum | |
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| Kinetic Energy | |
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| Equations of Motion | |
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| Gyroscopic Motion | |
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| Torque-Free Motion | |
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| Vibrations | |
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| Undamped Free Vibration | |
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| Energy Methods | |
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| Undamped Forced Vibration | |
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| Viscous Damped Free Vibration | |
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| Viscous Damped Forced Vibration | |
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| Electrical Circuit Analogs | |
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| Mathematical Expressions | |
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| Vector Analysis | |
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| The Chain Rule | |
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| Fundamental Problems Partial | |
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| Solutions and Answers | |