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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 | |
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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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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 | |