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Mechanics Map

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Mechanics Map

The Mechanics Map is an open textbook for engineering statics and dynamics containing written explanations, video lectures, worked examples, and homework problems. All content is licensed under a creative commons share-alike license, so feel free to use, share, or remix the content. The table of contents below links to all available topics, while the about, instructor resources, and contributing tabs provide information to those looking to learn more about the project in general.

Mechanical EngineeringEngineering
Author
Jacob Moore et al.
Publisher
Pennsylvania State University Mont Alto
Source
LibreTexts
License
CC BY-SA
Language
EN
Read online Download PDF (open licence)
Contents· 129 sections
  1. 01: Basics of Newtonian Mechanics
  2. 1.00: Video Introduction to Chapter 1
  3. 1.01: Bodies
  4. 1.02: Forces
  5. 1.03: Moments
  6. 1.04: Free Body Diagrams
  7. 1.05: Newton's First Law
  8. 1.06: Newton's Second Law
  9. 1.07: Newton's Third Law
  10. 1.08: Chapter 1 Homework Problems
  11. 02: Static Equilibrium in Concurrent Force Systems
  12. 2.00: Chapter 2 Video Introduction
  13. 2.01: Static Equilibrium
  14. 2.02: Point Forces as Vectors
  15. 2.03: Principle of Transmissibility
  16. 2.04: Concurrent Forces
  17. 2.05: Equilibrium Analysis for Concurrent Force Systems
  18. 2.06: Chapter 2 Homework Problems
  19. 03: Static Equilibrium in Rigid Body Systems
  20. 3.00: Video Introduction to Chapter 3
  21. 3.01: Moment of a Force about a Point (Scalar Calculation)
  22. 3.02: Varignon's Theorem
  23. 3.03: Couples
  24. 3.04: Moment about a Point (Vector)
  25. 3.05: Moment of a Force About an Axis
  26. 3.06: Equilibrium Analysis for a Rigid Body
  27. 3.07: Chapter 3 Homework Problems
  28. 04: Statically Equivalent Systems
  29. 4.00: Video Introduction to Chapter 4
  30. 4.01: Statically Equivalent Systems
  31. 4.02: Resolution of a Force into a Force and a Couple
  32. 4.03: Equivalent Force Couple System
  33. 4.04: Distributed Forces
  34. 4.05: Equivalent Point Load
  35. 4.06: Chapter 4 Homework Problems
  36. 05: Engineering Structures
  37. 5.00: Video Introduction to Chapter 5
  38. 5.01: Structures
  39. 5.02: Two-Force Members
  40. 5.03: Trusses
  41. 5.04: Method of Joints
  42. 5.05: Method of Sections
  43. 5.06: Frames and Machines
  44. 5.07: Analysis of Frames and Machines
  45. 5.08: Chapter 5 Homework Problems
  46. 06: Friction and Friction Applications
  47. 6.00: Video Introduction to Chapter 6
  48. 6.01: Dry Friction
  49. 6.02: Slipping vs Tipping
  50. 6.03: Wedges
  51. 6.04: Power Screws
  52. 6.05: Bearing Friction
  53. 6.06: Disc Friction
  54. 6.07: Belt Friction
  55. 6.08: Chapter 6 Homework Problems
  56. 07: Particle Kinematics
  57. 7.00: Video Introduction to Chapter 7
  58. 7.01: One-Dimensional Continuous Motion
  59. 7.02: One-Dimensional Noncontinuous Motion
  60. 7.03: Two-Dimensional Kinematics with Rectangular Coordinates
  61. 7.04: Two-Dimensional Kinematics with Normal-Tangential Coordinates
  62. 7.05: Two-Dimensional Motion with Polar Coordinates
  63. 7.06: Dependent Motion Systems
  64. 7.07: Relative Motion Systems
  65. 7.08: Chapter 7 Homework Problems
  66. 08: Newton's Second Law for Particles
  67. 8.00: Video Introduction to Chapter 8
  68. 8.01: One-Dimensional Equations of Motion
  69. 8.02: Equations of Motion in Rectangular Coordinates
  70. 8.03: Equations of Motion in Normal-Tangential Coordinates
  71. 8.04: Equations of Motion in Polar Coordinates
  72. 8.05: Chapter 8 Homework Problems
  73. 09: Work and Energy in Particles
  74. 9.00: Video Introduction to Chapter 9
  75. 9.01: Conservation of Energy for Particles
  76. 9.02: Power and Efficiency for Particles
  77. 9.03: Conservation of Energy for Systems of Particles
  78. 9.04: Chapter 9 Homework Problems
  79. 10: Impulse and Momentum in Particles
  80. 10.00: Video Introduction to Chapter 10
  81. 10.01: Impulse-Momentum Equations for a Particle
  82. 10.02: Surface Collisions and the Coefficient of Restitution
  83. 10.03: One-Dimensional Particle Collisions
  84. 10.04: Two-Dimensional Particle Collisions
  85. 10.05: Steady-Flow Devices
  86. 10.06: Chapter 10 Homework Problems
  87. 11: Rigid Body Kinematics
  88. 11.1: Fixed-Axis Rotation in Rigid Bodies
  89. 11.2: Belt- and Gear-Driven Systems
  90. 11.3: Absolute Motion Analysis
  91. 11.4: Relative Motion Analysis
  92. 11.5: Rotating Frame Analysis
  93. 11.6: Chapter 11 Homework Problems
  94. 12: Newton's Second Law for Rigid Bodies
  95. 12.1: Rigid Body Translation
  96. 12.2: Fixed-Axis Rotation
  97. 12.3: Rigid-Body General Planar Motion
  98. 12.4: Multi-Body General Planar Motion
  99. 12.5: Chapter 12 Homework Problems
  100. 13: Work and Energy in Rigid Bodies
  101. 13.01: Conservation of Energy for Rigid Bodies
  102. 13.02: Power and Efficiency in Rigid Bodies
  103. 13.03: Chapter 13 Homework Problems
  104. 14: Impulse and Momentum in Rigid Bodies
  105. 14.1: Impulse-Momentum Equations for a Rigid Body
  106. 14.2: Rigid Body Surface Collisions
  107. 14.3: Chapter 14 Homework Problems
  108. 15: Vibrations with One Degree of Freedom
  109. 15.1: Undamped Free Vibrations
  110. 15.2: Viscous Damped Free Vibrations
  111. 15.3: Friction (Coulomb) Damped Free Vibrations
  112. 15.4: Undamped Harmonic Forced Vibrations
  113. 15.5: Viscous Damped Harmonic Forced Vibrations
  114. 16: Appendix 1 - Vector and Matrix Math
  115. 16.1: Vectors
  116. 16.2: Vector Addition
  117. 16.3: Dot Product
  118. 16.4: Cross Product
  119. 16.5: Solving Systems of Equations with Matrices
  120. 16.6: Appendix 1 Homework Problems
  121. 17: Appendix 2 - Moment Integrals
  122. 17.1: Moment Integrals
  123. 17.2: Centroids of Areas via Integration
  124. 17.3: Centroids in Volumes and Center of Mass via Integration
  125. 17.4: Centroids and Centers of Mass via Method of Composite Parts
  126. 17.5: Area Moments of Inertia via Integration
  127. 17.6: Mass Moments of Inertia via Integration
  128. 17.7: Moments of Inertia via Composite Parts and Parallel Axis Theorem
  129. 17.8: Appendix 2 Homework Problems