Classical Mechanics

  1. Gravitation
    1. Newton's Law of Universal Gravitation
      1. Mathematical Formulation
        1. Inverse Square Law
        2. Gravitational Constant
          1. Value and Units
            1. Cavendish Experiment
          2. Gravitational Field
            1. Field Concept
              1. Force per Unit Mass
              2. Field Lines and Strength
                1. Visualization
                  1. Superposition Principle
                  2. Gravitational Field of Extended Objects
                    1. Spherical Symmetry
                      1. Shell Theorem
                    2. Gravitational Potential Energy
                      1. General Formulation
                        1. U = -Gm₁m₂/r
                        2. Potential Near Spherical Bodies
                          1. Gravitational Potential
                            1. Energy per Unit Mass
                            2. Escape Velocity
                              1. Derivation and Applications
                                1. Binding Energy
                              2. Kepler's Laws of Planetary Motion
                                1. The Law of Orbits
                                  1. Elliptical Orbits
                                    1. Eccentricity
                                    2. The Law of Areas
                                      1. Equal Areas in Equal Times
                                        1. Angular Momentum Conservation
                                        2. The Law of Periods
                                          1. T² ∝ r³ Relationship
                                            1. Derivation from Newton's Laws
                                          2. Orbits and Energy
                                            1. Circular Orbits
                                              1. Velocity and Energy Requirements
                                                1. Orbital Speed
                                                2. Elliptical Orbits
                                                  1. Energy Considerations
                                                    1. Aphelion and Perihelion
                                                    2. Total Energy in Orbits
                                                      1. Kinetic and Potential Energy
                                                        1. Binding Energy
                                                        2. Satellite Motion
                                                          1. Geostationary Orbits
                                                            1. Low Earth Orbits

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                                                        9. Static Equilibrium and Elasticity

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                                                        11. Oscillatory Motion