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    Dynamics

    1. Introduction
    2. Vectors
    3. Vector calculus
    4. Coordinate systems
    5. Tangential and normal basis
    6. Particle kinematics
    7. Particle kinetics
    8. Rigid body kinematics
    9. Geometric properties
    10. Rigid body kinetics
    11. Multi-body systems
    12. Contact and rolling
    13. Work and energy
    14. Momentum

    Applications

    1. Shortest flight paths
    2. Track transition curves
    3. Projectiles with air resistance
    4. Celestial velocities
    5. Accelerating and braking
    6. Banked turns
    7. Steering geometry
    8. Four-bar linkages
    9. Capsizing ships

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