1. Introduction. Engineering and Mechanics --- Learning Mechanics --- Fundamental Concepts --- Units ---- 2. Vectors. 1. Vector Operations and Definitions. Scalars and Vectors --- Rules for Manipulating Vectors --- 2. Cartesian Components. Components in Two Dimensions. Components in Three Dimensions --- 3. Products of Vectors. Dot Products --- Cross Products --- Mixed Triple Products ---- 3. Forces. Types of Forces --- Equilibrium and Free-Body Diagrams --- Two-Dimensional Force Systems --- Three-Dimensional Force Systems ---- 4. Systems of Forces and Moments. Two-Dimensional Description of the Moment --- The Moment Vector --- Moment of a Force About a Line --- Couples --- Equivalent Systems --- Representing Systems by Equivalent Systems ---- 5. Objects in Equilibrium. The Equilibrium Equations --- Two-Dimensional Applications --- Statically Indeterminate Objects --- Three-Dimensional Applications --- Two-Force and Three-Force ---- 6. Structures in Equilibrium. Trusses --- The Method of Joints --- The Method of Sections --- Space Trusses --- Frames and Machines ---- 7. Centroids and Centers of Mass. Centroids --- Composites --- The Pappus-Guldinus Theorems ---- 8. Moments of Inertia. 1. Areas. Definitions --- Parallel-Axis Theorems --- Rotated and Principal Axes --- 2. Masses --- Simple Objects --- Parallel-Axis Theorem ---- 9. Distributed Forces. Loads Distributed Along a Line --- Internal Forces and Moments in Beams --- Shear Force and Bending Moment Diagrams --- Relations Between Distributed Load, Shear Force, and Bending Moment --- Distributed Loads and Cables --- Discrete Loads and Cables --- Pressure ---- 10. Friction. Theory of Dry Friction --- Applications ---- 11. Virtual Work and Potential Energy. Virtual Work --- Potential Energy ---- Appendixes. 1. Review of Mathematics --- 2. Properties of Areas and Lines --- 3. Properties of Volumes and Homogeneous Objects.