Classical Mechanics

  1. Systems of Particles and Linear Momentum
    1. Center of Mass
      1. Locating the Center of Mass
        1. Discrete Systems
          1. Weighted Average Position
          2. Continuous Distributions
            1. Integration Methods
          3. Motion of the Center of Mass
            1. Center of Mass Velocity
              1. Center of Mass Acceleration
              2. Center of Mass Frame
                1. Reference Frame Considerations
                  1. Simplification of Problems
                2. Linear Momentum
                  1. Definition of Linear Momentum
                    1. Vector Nature
                      1. Units and Dimensions
                      2. Newton's Second Law in Terms of Momentum
                        1. Time Rate of Change of Momentum
                          1. Force as Momentum Change Rate
                          2. Momentum of Systems
                            1. Total Momentum
                              1. Individual Particle Contributions
                            2. Impulse
                              1. Definition of Impulse
                                1. Force-Time Product
                                2. The Impulse-Momentum Theorem
                                  1. Statement and Proof
                                    1. Impulse as Area Under Force-Time Curve
                                    2. Applications to Collisions
                                      1. Impact Forces
                                        1. Time Duration Effects
                                      2. Conservation of Linear Momentum
                                        1. The Principle of Momentum Conservation
                                          1. Isolated Systems
                                            1. No External Forces
                                            2. Applications to Isolated Systems
                                              1. Recoil and Explosions
                                                1. Gun and Bullet
                                                  1. Rocket Propulsion
                                                  2. Multi-Body Interactions
                                                  3. Internal vs. External Forces
                                                  4. Collisions
                                                    1. Classification of Collisions
                                                      1. Elastic vs. Inelastic
                                                        1. Head-on vs. Oblique
                                                        2. Elastic Collisions
                                                          1. Conservation of Kinetic Energy
                                                            1. Conservation of Momentum
                                                              1. Coefficient of Restitution
                                                              2. Inelastic Collisions
                                                                1. Perfectly Inelastic Collisions
                                                                  1. Objects Stick Together
                                                                  2. Partially Inelastic Collisions
                                                                    1. Loss of Kinetic Energy
                                                                    2. Collisions in One Dimension
                                                                      1. Analysis and Equations
                                                                        1. Before and After Velocities
                                                                        2. Collisions in Two Dimensions
                                                                          1. Conservation Laws in Multiple Dimensions
                                                                            1. Vector Analysis
                                                                              1. Scattering Angles

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                                                                          6. Work and Energy

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                                                                          8. Rotational Motion