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Mechanics and Relativity

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Mechanics and Relativity

In Mechanics and Relativity, the reader is taken on a tour through time and space. Starting from the basic axioms formulated by Newton and Einstein, the theory of motion at both the everyday and the highly relativistic level is developed without the need of prior knowledge. Applications covered in the book span a wide range of physical phenomena, including rocket motion, spinning tennis rackets and high-energy particle collisions.

University PhysicsPhysics
Author
Timon Idema
Publisher
Delft University of Technology
Source
LibreTexts
License
CC BY-NC-SA
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 103 sections
  1. 01: Introduction to Classical Mechanics
  2. 1.01: Dimensions and Units
  3. 1.02: Dimensional Analysis
  4. 1.E: Introduction to Classical Mechanics (Exercises)
  5. 02: Forces
  6. 2.01: Newton's Laws of Motion
  7. 2.02: Force Laws
  8. 2.03: Equations of Motion
  9. 2.04: Multiple Forces
  10. 2.05: Statics
  11. 2.06: Solving the Equations of Motion in Three Special Cases
  12. 2.E: Forces (Exercises)
  13. 03: Energy
  14. 3.01: Work
  15. 3.02: Kinetic Energy
  16. 3.03: Potential Energy
  17. 3.04: Conservation of Energy
  18. 3.05: Energy Landscapes
  19. 3.E: Energy (Exercises)
  20. 04: Momentum
  21. 4.01: Center of Mass
  22. 4.02: Conservation of Momentum
  23. 4.03: Reference Frames
  24. 4.04: Rocket Science
  25. 4.05: Collisions
  26. 4.06: Totally Inelastic Collisions
  27. 4.07: Totally Elastic Collisions
  28. 4.08: Elastic Collisions in the COM Frame
  29. 4.E: Momentum (Exercises)
  30. 05: Rotational Motion Torque and Angular Momentum
  31. 5.01: Rotation Basics
  32. 5.02: Centripetal Force
  33. 5.03: Torque
  34. 5.04: Moment of Inertia
  35. 5.05: Kinetic Energy of Rotation
  36. 5.06: Angular Momentum
  37. 5.07: Conservation of Angular Momentum
  38. 5.08: Rolling and Slipping Motion
  39. 5.09: Precession and Nutation
  40. 5.E: Rotational Motion Torque and Angular Momentum (Exercises)
  41. 06: General Planar Motion
  42. 6.01: Projectile Motion
  43. 6.02: General Planar Motion in Polar Coordinates
  44. 6.03: Motion Under the Action of a Central Force
  45. 6.04: Kepler's Laws
  46. 6.E: General Planar Motion (Exercises)
  47. 07: General Rotational Motion
  48. 7.01: Linear and Angular Velocity
  49. 7.02: Rotating Reference Frames
  50. 7.03: Rotations About an Arbitrary Axis
  51. 7.E: General Rotational Motion (Exercises)
  52. 08: Oscillations
  53. 8.01: Oscillatory Motion
  54. 8.02: Damped Harmonic Oscillator
  55. 8.03: Driven Harmonic Oscillator
  56. 8.04: Coupled Oscillators
  57. 8.E: Oscillations (Exercises)
  58. 09: Waves
  59. 9.01: Sinusoidal Waves
  60. 9.02: The Wave Equation
  61. 9.03: Solution of the One-Dimensional Wave Equation
  62. 9.04: Wave Superposition
  63. 9.05: Amplitude Modulation
  64. 9.06: Sound Waves
  65. 9.07: The Doppler Effect
  66. 9.E: Waves (Exercises)
  67. 10: Einstein's Postulates
  68. 10.01: An Old and a New Axiom
  69. 10.02: Consequences of Einstein's Postulates
  70. 10.E: Einstein's Postulates (Exercises)
  71. 11: Lorentz Transformations
  72. 11.01: Classical Case- Galilean Transformations
  73. 11.02: Derivation of the Lorentz Transformations
  74. 11.03: Some Consequences of the Lorentz Transformations
  75. 11.04: Rapidity and Repeated Lorentz Transformations
  76. 11.E: Lorentz Transformations (Exercises)
  77. 12: Spacetime Diagrams
  78. 12.01: Time Dialation and Space Contraction Revisited
  79. 12.02: An Invariant Measure of Length
  80. 12.03: Worldlines and Proper Time
  81. 12.E: Spacetime Diagrams (Exercises)
  82. 13: Position Energy and Momentum in Special Relativity
  83. 13.01: The Position Four-Vector
  84. 13.02: Lorentz Transformation Matrix and Metric Tensor
  85. 13.03: Velocity and Momentum Four-Vectors
  86. 13.04: Relativistic Energy
  87. 13.05: Conservation of Energy and Momentum
  88. 13.E: Position Energy and Momentum in Special Relativity (Exercises)
  89. 14: Relativistic Collisions
  90. 14.01: Prelude to Relativistic Collisions
  91. 14.02: Photons
  92. 14.03: Totally Inelastic Collision
  93. 14.04: Radioactive Decay and the Center-of-Momentum Frame
  94. 14.05: Totally Elastic Collision - Compton Scattering
  95. 14.E: Relativistic Collisions (Exercises)
  96. 15: Relativistic Forces and Waves
  97. 15.01: The Force Four-Vector
  98. 15.02: The Four-Acceleration
  99. 15.03: Relativistic Waves
  100. 15.E: Relativistic Forces and Waves (Exercises)
  101. 16: Appendices
  102. 16.A: Math
  103. 16.B: Some Equations and Constants