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Conservative Forces and SHO

By Walter Lewin - MIT
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Lecture Description

In this lecture, Professor Lewin displays how the conservation of mechanical energy can be used to derive the equation of motion for simple harmonic oscillators (SHO). In doing so he covers gravitational potential energy, equilibrium points where the net force is zero, parabolic potential energy, and circular potential energy.

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Course Index

  1. Measurements of Space and Time
  2. 1-Dimensional Kinematics, Speed, Velocity, Acceleration
  3. Vectors, Dot Products, Cross Products, 3D Kinematics
  4. 3-D Kinematics, The Motion of Projectiles
  5. Circular Motion, Centrifuges, Moving Reference Frames
  6. Newton's Three Laws
  7. Weight and Weightlessness
  8. Friction
  9. Exam-I Review
  10. Hooke's Law and Simple Harmonic Motion
  11. Work and Mechanical Energy
  12. Resistive Forces
  13. Conservative Forces and SHO
  14. Satellite Orbits - Energy - Power
  15. Collisions and the Center of Mass
  16. Elastic and Inelastic Collisions
  17. Change of Momentum, Impulse, Rockets
  18. Exam Review II
  19. Rotational Kinetic Energy
  20. Angular Momentum
  21. Torques, Oscillating Bodies
  22. Elliptical Orbits
  23. Doppler Shift and Stellar Dynamics
  24. Rate of Change of Angular Momentum
  25. Static Equilibrium
  26. Elasticity of Materials
  27. Pressure in a Static Fluid
  28. Buoyant Force and Bernoulli's Equation
  29. Exam Review
  30. Other Oscillating Systems
  31. Forced Oscillations and Resonance
  32. Heat, Conductivity and Thermal Expansion
  33. Ideal-Gas Law and Phase Transitions, Isothermal Atmosphere
  34. The Wonderful Quantum World
  35. X-ray Astronomy and Astrophysics