Applications of Calculus to Mechanics

Applications of Calculus to Mechanics

Eddie Woo via YouTube Direct link

Introduction to Banked Tracks (2 of 2: Optimum Speed & Height)

19 of 51

19 of 51

Introduction to Banked Tracks (2 of 2: Optimum Speed & Height)

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Classroom Contents

Applications of Calculus to Mechanics

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  1. 1 Equation of Path: Derivation
  2. 2 Equation of Path: Simple Example
  3. 3 Introduction to Circular Motion: Angular & Linear Velocity
  4. 4 Uniform Circular Motion - Direction of Acceleration (1 of 2: Adding Vectors Visually)
  5. 5 Uniform Circular Motion - Direction of Acceleration (2 of 2: Force Equations)
  6. 6 Uniform Circular Motion: Determining Tangent & Normal Forces
  7. 7 Force Equations for Uniform & Non-Uniform Circular Motion
  8. 8 Uniform Circular Motion: Basic Example Question
  9. 9 Uniform Circular Motion: Tension & Tensile Strength
  10. 10 The Conical Pendulum (1 of 2: Understanding the Forces)
  11. 11 General Purpose Algorithm for Mechanics Questions
  12. 12 The Conical Pendulum (2 of 2: Determining Tension, Angle & Height)
  13. 13 Pendulum on Surface of Cone (1 of 2: Tension & Normal Force)
  14. 14 Pendulum on Surface of Cone (2 of 2: Determining Maximum Velocity)
  15. 15 Conical Pendulum Inside a Bowl (1 of 2: Setting up the question)
  16. 16 Conical Pendulum Inside a Bowl (2 of 2: An unexpected change in tension)
  17. 17 Introduction to Banked Tracks (1 of 2: What are they?)
  18. 18 Banked Tracks: Example Question
  19. 19 Introduction to Banked Tracks (2 of 2: Optimum Speed & Height)
  20. 20 The Inclined Cyclist (1 of 2: Explanation & Question)
  21. 21 The Inclined Cyclist (2 of 2: Friction & Angle)
  22. 22 Interesting Circle Geometry / Motion Question (1 of 2: Internal Angular Velocities)
  23. 23 Interesting Circle Geometry / Motion Question (2 of 2: External Angular Velocity)
  24. 24 Circular Motion (1 of 6: Understanding Rotation)
  25. 25 Circular Motion (2 of 6: The Discus Throw)
  26. 26 Circular Motion (3 of 6: Basic Example Question)
  27. 27 Circular Motion (4 of 6: Resolving Forces)
  28. 28 Circular Motion (5 of 6: Force Along the Normal)
  29. 29 Circular Motion (6 of 6: Force Along the Tangent)
  30. 30 Uniform Circular Motion examples (1 of 2: Finding angular velocity & acceleration)
  31. 31 Uniform Circular Motion examples (2 of 2: On a flat surface)
  32. 32 Angular Velocity with Non-Circular Motion
  33. 33 Intro to Conical Pendulum (1 of 2: Vertical & Horizontal Motion)
  34. 34 Understanding Weightlessness in a Simulator
  35. 35 Intro to Conical Pendulum (2 of 2: Understanding Tension)
  36. 36 Walkthrough of Conical Pendulum Question (1 of 2: Working out the path)
  37. 37 Walkthrough of Conical Pendulum Question (2 of 2: Calculating Period & Tension)
  38. 38 Conical Pendulum Example (1 of 2: Finding radius of circular motion)
  39. 39 Conical Pendulum Example (2 of 2: Finding angular velocity & tension)
  40. 40 Banked Tracks (1 of 5: Why they're needed)
  41. 41 Banked Tracks (2 of 5: How they're useful)
  42. 42 Conical Pendulum on a Conical Surface (1 of 2: Initial Geometry)
  43. 43 Conical Pendulum on a Conical Surface (2 of 2: Resolving Forces)
  44. 44 Conical Pendulums on Various Surfaces
  45. 45 Banked Tracks (3 of 5: Resolving forces)
  46. 46 Banked Tracks (4 of 5: Concrete example)
  47. 47 Banked Tracks (5 of 5: Understanding lateral force)
  48. 48 The Leaning Cyclist (1 of 4: Introduction)
  49. 49 The Leaning Cyclist (2 of 4: Simplified Model)
  50. 50 The Leaning Cyclist (3 of 4: Torque)
  51. 51 The Leaning Cyclist (4 of 4: A Better Model)

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