Rigid Body Dynamics

  1. Planar Kinetics of a Rigid Body: Force and Acceleration
    1. Mass Properties
      1. Mass and Center of Mass
        1. Definition of Center of Mass
          1. Calculation for Discrete Bodies
            1. Calculation for Continuous Bodies
            2. Mass Moment of Inertia
              1. Definition and Physical Meaning
                1. Calculation for Simple Shapes
                  1. Thin Rod
                    1. Disk
                      1. Rectangle
                        1. Ring
                        2. Radius of Gyration
                          1. Parallel-Axis Theorem
                            1. Composite Bodies
                              1. Decomposition Method
                                1. Summation Method
                            2. Equations of Motion
                              1. Equation for Translational Motion
                                1. Equation for Rotational Motion about Center of Mass
                                  1. Equation for Rotational Motion about a Fixed Point
                                    1. Free-Body Diagrams for Rigid Bodies
                                    2. Applications of the Equations of Motion
                                      1. Pure Translation
                                        1. Analysis of Forces and Accelerations
                                        2. Fixed-Axis Rotation
                                          1. Torque and Angular Acceleration
                                          2. General Plane Motion
                                            1. Combined Translational and Rotational Analysis
                                              1. Rolling Motion

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                                          2. Planar Kinematics of a Rigid Body

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                                          4. Planar Kinetics of a Rigid Body: Work and Energy