Engineering Mechanics

  1. Statics of Particles
    1. Forces Acting on Particles
      1. Definition of Force
        1. Vector Nature of Force
          1. Units of Force
          2. Types of Forces
            1. Contact Forces
              1. Normal Forces
                1. Friction Forces
                  1. Tension Forces
                  2. Body Forces
                    1. Gravitational Forces
                      1. Magnetic Forces
                        1. Electric Forces
                      2. Resultant of Concurrent Forces
                        1. Definition of Concurrent Forces
                          1. Graphical Methods
                            1. Force Polygon
                              1. Parallelogram Construction
                              2. Analytical Methods
                                1. Component Addition
                                  1. Vector Summation
                                2. Force Addition in 2D
                                  1. Rectangular Component Method
                                    1. Trigonometric Approach
                                      1. Magnitude and Direction Calculation
                                      2. Force Addition in 3D
                                        1. Three-Dimensional Components
                                          1. Direction Cosines
                                            1. Spatial Force Systems
                                          2. Equilibrium of Particles
                                            1. Concept of Equilibrium
                                              1. Static Equilibrium Definition
                                                1. Necessary Conditions
                                                2. Free-Body Diagrams
                                                  1. Isolation of Particle
                                                    1. Force Identification
                                                      1. Drawing Conventions
                                                        1. Common Mistakes
                                                        2. Equilibrium Conditions
                                                          1. 2D Equilibrium Equations
                                                            1. Sum of Forces in X Direction
                                                              1. Sum of Forces in Y Direction
                                                              2. 3D Equilibrium Equations
                                                                1. Sum of Forces in X Direction
                                                                  1. Sum of Forces in Y Direction
                                                                    1. Sum of Forces in Z Direction
                                                                  2. Coplanar Force Systems
                                                                    1. Two-Dimensional Analysis
                                                                      1. Special Cases
                                                                        1. Solution Techniques
                                                                        2. Three-Dimensional Force Systems
                                                                          1. Spatial Equilibrium
                                                                            1. Vector Equation Approach
                                                                              1. Component Analysis

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                                                                          1. Introduction to Engineering Mechanics

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                                                                          3. Rigid Bodies: Equivalent Force Systems