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Statics | |
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Introduction | |
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Engineering and Mechanics | |
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Learning Mechanics | |
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Fundamental Concepts | |
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Units | |
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Newtonian Gravitation | |
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Vectors | |
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Vector Operations and Definitions | |
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Scalars and Vectors | |
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Rules for Manipulating Vectors | |
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Cartesian Components | |
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Components in Two Dimensions | |
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Components in Three Dimensions | |
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Products of Vectors | |
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Dot Products | |
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Cross Products | |
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Mixed Triple Products | |
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Forces | |
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Types of Forces | |
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Equilibrium and Free-Body Diagrams | |
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Two-Dimensional Force Systems | |
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Three-Dimensional Force Systems | |
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Systems of Forces and Moments | |
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Two-Dimensional Description of the Moment | |
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The Moment Vector | |
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Moment of a Force About a Line | |
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Couples | |
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Equivalent Systems | |
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Representing Systems by Equivalent Systems | |
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Objects in Equilibrium | |
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The Equilibrium Equations | |
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Two-Dimensional Applications | |
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Statically Indeterminate Objects | |
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Three-Dimensional Applications | |
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Two-Force and Three-Force | |
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Structures in Equilibrium | |
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Trusses | |
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The Method of Joints | |
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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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Centroids and Centers of Mass 316 Centroids | |
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Centroids of Areas | |
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Centroids of Composite Areas | |
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Distributed Loads | |
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Centroids of Volumes and Lines | |
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The Pappus-Guldinus Theorems | |
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Centers of Mass | |
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Definition of the Center of Mass | |
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Centers of Mass of Objects | |
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Centers of Mass of Composite Objects | |
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Moments of Inertia | |
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Areas | |
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Definitions | |
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Parallel-Axis Theorems | |
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Rotated and Principal Axes | |
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Masses | |
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Simple Objects | |
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Parallel-Axis Theorem | |
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Friction | |
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Theory of Dry Friction | |
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Applications | |
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Internal Forces and Moments | |
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Beams | |
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Axial Force, Shear Force, and Bending Moment | |
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Shear Force and Bending Moment Diagrams | |
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Relations Between Distributed Load, Shear Force, and Bending Moment | |
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Cables | |
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Loads Distributed Uniformly Along Straight Lines | |
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Loads Distributed Uniformly Along Cables | |
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Discrete Loads | |
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Liquids and Gasses | |
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Pressure and the Center of Pressure | |
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Pressure in a Stationary Liquid | |
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Virtual Work and Potential Energy | |
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Virtual Work | |
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Potential Energy | |
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Appendices | |
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Review of Mathematics | |
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Algebra | |
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Trigonometry | |
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Derivatives | |
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Integrals | |
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Taylor Series | |
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Vector Analysis | |
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Properties of Areas and Lines | |
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Areas | |
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Lines | |
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Properties of Volumes and Homogeneous Objects | |
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Answers to Even-Numbered Problems | |
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Index | |
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Dynamics | |
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Engineering and Mechanics | |
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Engineering and Mechanics | |
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Learning Mechanics | |
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Fundamental Concepts | |
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Units | |
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Newtonian Gravitation | |
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Motion of a Point | |
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Position, Velocity, and Acceleration | |
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Straight-Line Motion | |
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Curvilinear Motion | |
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Force, Mass, and Acceleration | |
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Newton''s Second Law | |
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Equation of Motion for the Center of Mass | |
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Inertial Reference Frames | |
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Applications | |
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Orbital Mechanics | |
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Numerical Solutions | |
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Energy Methods | |
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Work and Kinetic Energy | |
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Principle of Work and Energy | |
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Work and Power | |
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Work Done by Particular Forces | |
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Potential Energy | |
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Conservation of Energy | |
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Conservative Forces | |
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Relationship between Force and Potential Energy | |
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Momentum Methods | |
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Principle of Impulse and Momentum | |
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Conservation of Linear Momentum | |
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Impacts | |
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Angular Momentum | |
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Mass Flows | |
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Planar Kinematics of Rigid Bodies | |
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Rigid Bodies and Types of Motion | |
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Rotation about a Fixed Axis | |
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General Motions: Velocities | |
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General Motions: Accelerations | |
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Sliding Contacts | |
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Moving Reference Frames | |
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Planar Dynamics of Rigid Bodies | |
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Preview of the Equations of Motion | |
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Momentum Principles for a System of Particles | |
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Derivation of the Equations of Motion | |
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Applications | |
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Numerical Solutions | |
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Appendix: Moments of Inertia | |
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Energy and Momentum in Rigid-Body Dynamics | |
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Principle of Work and Energy | |
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Kinetic Energy | |
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Work and Potential Energy | |
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Power | |
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Principles of Impulse and Momentum | |
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Impacts | |
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Three-Dimensional Kinematics and Dynamics of Rigid Bodies | |
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Kinematics | |
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Euler''s Equations | |
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The Euler Angles | |
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Appendix: Moments and Products of Inertia | |
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Vibrations 506 Conservative Systems | |
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Damped Vibrations | |
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Forced Vibrations | |
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Appendices | |
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Review of Mathematics | |
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Algebra | |
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Trigonometry | |
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Derivatives | |
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Integrals | |
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Taylor Series | |
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Vector Analysis | |
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Properties of Areas and Lines | |
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Areas | |
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Lines | |
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Properties of Volumes and Homogeneous Objects | |
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Spherical Coordinates | |
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D''Alembert''s Principle | |
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Answers to Even-Numbered Problems | |
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Index | |
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Combined Edition | |