Engineering Mechanics: Statics & Dynamics, 14th edition

1 General Principles
1.1 Mechanics
1.2 Fundamental Concepts
1.3 Units of Measurement
1.4 T he International System of Units
1.5 Numerical Calculations
1.6 General Procedure for Analysis

2 Force Vectors
2.1 Scalars and Vectors
2.2 Vector Operations
2.3 Vector Addition of Forces
2.4 Addition of a System of Coplanar Forces
2.5 C artesian Vectors
2.6 Addition of Cartesian Vectors
2.7 Position Vectors
2.8 Force Vector Directed Along a Line
2.9 Dot Product

3 Equilibrium of a Particle
3.1 Condition for the Equilibrium of a Particle
3.2 The Free-Body Diagram
3.3 Coplanar Force Systems
3.4 Three-Dimensional Force Systems

4 Force System Resultants
4.1 Moment of a Force--Scalar Formulation
4.2 Cross Product
4.3 Moment of a Force--Vector Formulation
4.4 Principle of Moments
4.5 Moment of a Force about a Specified Axis
4.6 Moment of a Couple
4.7 Simplification of a Force and Couple System
4.8 Further Simplification of a Force and Couple System
4.9 Reduction of a Simple Distributed Loading

5 Equilibrium of a Rigid Body
5.1 Conditions for Rigid-Body Equilibrium
5.2 Free-Body Diagrams
5.3 Equations of Equilibrium
5.4 Two- and Three-Force Members
5.5 Free-Body Diagrams
5.6 Equations of Equilibrium
5.7 Constraints and Statical Determinacy

6 Structural Analysis
6.1 Simple Trusses
6.2 The Method of Joints
6.3 Zero-Force Members
6.4 The Method of Sections
6.5 Space Trusses
6.6 Frames and Machines

7 Internal Forces
7.1 Internal Loadings Developed in Structural Members
7.2 Shear and Moment Equations and Diagrams
7.3 Relations between Distributed Load, Shear, and Moment
7.4 Cables

8 Friction
8.1 Characteristics of Dry Friction
8.2 Problems Involving Dry Friction
8.3 Wedges
8.4 Frictional Forces on Screws
8.5 Frictional Forces on Flat Belts
8.6 Frictional Forces on Collar Bearings, Pivot Bearings, and Disks
8.7 Frictional Forces on Journal Bearings
8.8 Rolling Resistance

9 Center of Gravity and Centroid
9.1 Center of Gravity, Center of Mass, and the Centroid of a Body
9.2 Composite Bodies
9.3 Theorems of Pappus and Guldinus
9.4 Resultant of a General Distributed Loading
9.5 Fluid Pressure

10 Moments of Inertia
10.1 Definition of Moments of Inertia for Areas
10.2 Parallel-Axis Theorem for an Area
10.3 Radius of Gyration of an Area
10.4 Moments of Inertia for Composite Areas
10.5 Product of Inertia for an Area
10.6 Moments of Inertia for an Area about Inclined Axes
10.7 Mohr's Circle for Moments of Inertia
10.8 Mass Moment of Inertia

11 Virtual Work
11.1 Definition of Work
11.2 Principle of Virtual Work
11.3 Principle of Virtual Work for a System of Connected Rigid Bodies
11.4 Conservative Forces
11.5 Potential Energy
11.6 Potential-Energy Criterion for Equilibrium
11.7 Stability of Equilibrium Configuration

12 Kinematics of a Particle
12.1 Introduction
12.2 Rectilinear Kinematics: Continuous Motion
12.3 Rectilinear Kinematics: Erratic Motion
12.4 General Curvilinear Motion
12.5 Curvilinear Motion: Rectangular Components
12.6 Motion of a Projectile
12.7 Curvilinear Motion: Normal and Tangential Components
12.8 Curvilinear Motion: Cylindrical Components
12.9 Absolute Dependent Motion Analysis of Two Particles
12.10 Relative-Motion of Two Particles Using Translating Axes

13 Kinetics of a Particle: Force and Acceleration
13.1 Newton's Second Law of Motion
13.2 The Equation of Motion
13.3 Equation of Motion for a System of Particles
13.4 Equations of Motion: Rectangular Coordinates
13.5 Equations of Motion: Normal and Tangential Coordinates
13.6 Equations of Motion: Cylindrical Coordinates
*13.7 Central-Force Motion and Space Mechanics

14 Kinetics of a Particle: Work and Energy
14.1 The Work of a Force
14.2 Principle of Work and Energy
14.3 Principle of Work and Energy for a System of Particles
14.4 Power and Efficiency
14.5 Conservative Forces and Potential Energy
14.6 Conservation of Energy

15 Kinetics of a Particle: Impulse and Momentum
15.1 Principle of Linear Impulse and Momentum
15.2 Principle of Linear Impulse and Momentum for a System of Particles
15.3 Conservation of Linear Momentum for a System of Particles
15.4 Impact
15.5 Angular Momentum
15.6 Relation Between Moment of a Force and Angular Momentum
15.7 Principle of Angular Impulse and Momentum
15.8 Steady Flow of a Fluid Stream
*15.9 Propulsion with Variable Mass

16 Planar Kinematics of a Rigid Body
16.1 Planar Rigid-Body Motion
16.2 Translation
16.3 Rotation about a Fixed Axis
16.4 Absolute Motion Analysis
16.5 Relative-Motion Analysis: Velocity
16.6 Instantaneous Center of Zero Velocity
16.7 Relative-Motion Analysis: Acceleration
16.8 Relative-Motion Analysis using Rotating Axes

17 Planar Kinetics of a Rigid Body: Force and Acceleration
17.1 Mass Moment of Inertia
17.2 Planar Kinetic Equations of Motion
17.3 Equations of Motion: Translation
17.4 Equations of Motion: Rotation about a Fixed Axis
17.5 Equations of Motion: General Plane Motion

18 Planar Kinetics of a Rigid Body: Work and Energy
18.1 Kinetic Energy
18.2 The Work of a Force
18.3 The Work of a Couple Moment
18.4 Principle of Work and Energy
18.5 Conservation of Energy

19 Planar Kinetics of a Rigid Body: Impulse and Momentum
19.1 Linear and Angular Momentum
19.2 Principle of Impulse and Momentum
19.3 Conservation of Momentum
*19.4 Eccentric Impact

20 Three-Dimensional Kinematics of a Rigid Body
20.1 Rotation About a Fixed Point
*20.2 The Time Derivative of a Vector Measured from Either a Fixed or Translating-Rotating System
20.3 General Motion
*20.4 Relative-Motion Analysis Using Translating and Rotating Axes

21 Three-Dimensional Kinetics of a Rigid Body
*21.1 Moments and Products of Inertia
21.2 Angular Momentum
21.3 Kinetic Energy
*21.4 Equations of Motion
*21.5 Gyroscopic Motion
21.6 Torque-Free Motion

22 Vibrations
*22.1 Undamped Free Vibration
*22.2 Energy Methods
*22.3 Undamped Forced Vibration
*22.4 Viscous Damped Free Vibration
*22.5 Viscous Damped Forced Vibration
*22.6 Electrical Circuit Analogs

A Mathematical Expressions
B Vector Analysis
C The Chain Rule
Fundamental Problems
Partial Solutions and Answers