Chapter 2: Mechanics

The following sections are included:

• Elementary Course

  • Motion with a Constant Acceleration

    • Projectile Motion

  • Equation of Motion

  • The Law of Conservation of Energy

    • Work and Kinetic Energy

    • Conservative Forces and Non-conservative Forces

    • Potential Energy

    • Examples of Potential Energy

    • Gravitational Potential Energy

    • Elastic Potential Energy

    • The Law of Conservation of Mechanical Energy

    • Energy Transfer between Interacting Bodies

    • Work Done by Non-conservative Forces

  • Newton's Law of Universal Gravitation and Kepler's Laws

    • Newton's Law of Universal Gravitation

    • Gravitational Potential Energy

    • Kepler's Law

• Elementary Problems

  • Problem 2.1. A ball falling from a bicycle

  • Problem 2.2. A ball thrown off a cliff

  • Problem 2.3. The trajectory of a ball

  • Problem 2.4. The motion of a train

  • Problem 2.5. Skydiving

  • Problem 2.6. Small objects sliding on different descendent paths

  • Problem 2.7. An inclined plane

  • Problem 2.8. A space probe launched to converge with the orbit of Pluto

• Advanced Course

  • Conservation of Momentum

    • Momentum and Impulse

    • The Law of Conservation of Momentum

  • Moment of Force and Angular Momentum

  • The Keplerian Motion

    • Two-Dimensional Polar Coordinates

    • Universal Gravitation Acting on Planets

    • Moment of Central Forces

    • Motion of Planets

  • Motion and Energy of Rigid Bodies

    • Motion of Rigid Bodies

    • Rotational Kinetic Energy of Rigid Bodies

• Advanced Problems

  • Problem 2.9. The Atwood machine with friction

  • Problem 2.10. The rotation of rods

  • Problem 2.11. The expanding universe