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Mechanics Map 2nd Edition

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Mechanics Map 2nd Edition

The Mechanics Map is an open textbook for engineering statics and dynamics containing written explanations, video lectures, worked examples, and homework problems.

Mechanical EngineeringEngineering
Author
Jacob Moore & Contributore
Publisher
Penn State Mont Alto
Source
LibreTexts
License
CC BY-SA
Language
EN
Read online Download PDF (open licence)
Contents· 155 sections
  1. 01: Basics of Newtonian Mechanics
  2. 1.01: Video Introduction to Chapter 1
  3. 1.02: Bodies
  4. 1.03: Position Displacement Velocity and Acceleration
  5. 1.04: Forces
  6. 1.05: Orientation Angular Displacement Angular Velocity and Angular Acceleration
  7. 1.06: Moments
  8. 1.07: Free Body Diagrams
  9. 1.08: Newton's First Law
  10. 1.09: Newton's Second Law
  11. 1.10: Newton's Third Law
  12. 1.11: Chapter Homework Problems
  13. 02: Static Equilibrium in Concurrent Force Systems
  14. 2.01: Chapter 2 Video Introduction
  15. 2.02: Static Equilibrium
  16. 2.03: Point Forces
  17. 2.04: Principle of Transmissibility
  18. 2.05: Concurrent Forces
  19. 2.06: Equilibrium Analysis for Concurrent Force Systems
  20. 2.07: Chapter Homework Problems
  21. 03: Static Equilibrium in Rigid Body Systems
  22. 3.01: Video Introduction to Chapter 3
  23. 3.02: Moment of a Force about a Point (Scalar Calculation)
  24. 3.03: Varignon's Theorem
  25. 3.04: Couples
  26. 3.05: Moment about a Point (Vector)
  27. 3.06: Moment of a Force About an Axis
  28. 3.07: Equilibrium Analysis for a Rigid Body
  29. 3.08: Chapter Homework Problems
  30. 04: Statically Equivalent Systems
  31. 4.01: Video Introduction to Chapter 4
  32. 4.02: Statically Equivalent Systems
  33. 4.03: Resolution of a Force into a Force and a Couple
  34. 4.04: Equivalent Force Couple System
  35. 4.05: Distributed Forces
  36. 4.06: Equivalent Point Load via Integration
  37. 4.07: Equivalent Point Load via Composite Parts
  38. 4.08: Chapter Homework Problems
  39. 05: Engineering Structures
  40. 5.01: Video Introduction to Chapter 5
  41. 5.02: Structures
  42. 5.03: Two-Force Members
  43. 5.04: Method of Joints
  44. 5.05: Method of Sections
  45. 5.06: Analysis of Frames and Machines
  46. 5.07: Chapter Homework Problems
  47. 06: Internal Forces
  48. 6.01: Internal Forces Video Introduction
  49. 6.02: Internal Forces
  50. 6.03: Finding Internal Forces via Equilibrium Analysis
  51. 6.04: Axial Force Diagrams and Torsion Diagrams
  52. 6.05: Shear and Moment Diagrams
  53. 6.06: Chapter Homework Problems
  54. 07: Friction and Friction Applications
  55. 7.01: Video Introduction to Chapter 6
  56. 7.02: Dry Friction
  57. 7.03: Slipping vs Tipping
  58. 7.04: Wedges
  59. 7.05: Power Screws
  60. 7.06: Bearing Friction
  61. 7.07: Disc Friction
  62. 7.08: Belt Friction
  63. 7.09: Chapter Homework Problems
  64. 08: Particle Kinematics
  65. 8.01: Video Introduction to Chapter 7
  66. 8.02: One-Dimensional Continuous Motion
  67. 8.03: One-Dimensional Noncontinuous Motion
  68. 8.04: Two-Dimensional Kinematics with Rectangular Coordinates
  69. 8.05: Two-Dimensional Kinematics with Normal-Tangential Coordinates
  70. 8.06: Two-Dimensional Motion with Polar Coordinates
  71. 8.07: Dependent Motion Systems
  72. 8.08: Relative Motion Systems
  73. 8.09: Chapter Homework Problems
  74. 09: Newton's Second Law for Particles
  75. 9.01: Video Introduction to Chapter 8
  76. 9.02: One-Dimensional Equations of Motion
  77. 9.03: Equations of Motion in Rectangular Coordinates
  78. 9.04: Equations of Motion in Normal-Tangential Coordinates
  79. 9.05: Equations of Motion in Polar Coordinates
  80. 9.06: Chapter Homework Problems
  81. 10: Work and Energy in Particles
  82. 10.01: Video Introduction
  83. 10.02: Work Kinetic Energy and Potential Energy for Particles
  84. 10.03: Work and Energy Principle for Particles
  85. 10.04: Power for Particles
  86. 10.05: Efficiency for Particles
  87. 10.06: Work and Energy for Systems of Particles
  88. 10.07: Chapter Homework Problems
  89. 10.08: Efficiency for Particles
  90. 10.09: Conservation of Energy for Particles
  91. 10.10: Power and Efficiency for Particles
  92. 10.11: Conservation of Energy for Systems of Particles
  93. 11: Impulse and Momentum in Particles
  94. 11.01: Video Introduction
  95. 11.02: Impulse-Momentum Equations for a Particle
  96. 11.03: The Impulse-Momentum Principle for Particles
  97. 11.04: Surface Collisions and the Coefficient of Restitution
  98. 11.05: Particle Collisions in One Dimension
  99. 11.06: Two-Dimensional Particle Collisions
  100. 11.07: Steady-Flow Devices
  101. 11.08: Chapter Homework Problems
  102. 12: Rigid Body Kinematics
  103. 12.01: Rigid Body Kinematics Video Introduction
  104. 12.02: Fixed Axis Rotation Systems (Scalar)
  105. 12.03: Fixed Axis Rotation in Rigid Bodies Using Vectors
  106. 12.04: Belt- and Gear-Driven Systems
  107. 12.05: Absolute Motion Analysis
  108. 12.06: Relative Motion Analysis
  109. 12.07: Instantaneous Center of Zero Velocity
  110. 12.08: Rotating Frame Analysis
  111. 12.09: Chapter 11 Homework Problems
  112. 13: Newton's Second Law for Rigid Bodies
  113. 13.01: Newton's Second Law for Rigid Bodies Video Introduction
  114. 13.02: Rigid Body Translation
  115. 13.03: Fixed-Axis Rotation
  116. 13.04: General Planar Motion
  117. 13.05: Multi-Body Kinetics
  118. 13.06: Homework Problems
  119. 14: Work and Energy in Rigid Bodies
  120. 14.01: Rigid Body Work and Energy Video Introduction
  121. 14.02: Work Kinetic Energy and Potential Energy for Rigid Bodies
  122. 14.03: Principle of Work and Energy for Rigid Bodies
  123. 14.04: Power in Rigid Body Systems
  124. 14.05: Efficiency in Rigid Body Systems
  125. 14.06: Homework Problems
  126. 15: Impulse and Momentum in Rigid Bodies
  127. 15.01: Rigid Body Impulse Momentum Video Introduction
  128. 15.02: Impulse and Momentum for a Rigid Body System
  129. 15.03: The Impulse Momentum Theorem for a Rigid Body
  130. 15.04: Impulse-Momentum Equations for a Rigid Body
  131. 15.05: Rigid Body Surface Collisions
  132. 15.06: Free Rigid Body Collisions
  133. 15.07: Homework Problems
  134. 16: Vibrations with One Degree of Freedom
  135. 16.01: Undamped Free Vibrations
  136. 16.02: Viscous Damped Free Vibrations
  137. 16.03: Friction (Coulomb) Damped Free Vibrations
  138. 16.04: Undamped Harmonic Forced Vibrations
  139. 16.05: Viscous Damped Harmonic Forced Vibrations
  140. 17: Appendix 1 - Vector and Matrix Math
  141. 17.01: Vectors
  142. 17.02: Vector Addition
  143. 17.03: Dot Product
  144. 17.04: Cross Product
  145. 17.05: Solving Systems of Equations with Matrices
  146. 17.06: Appendix 1 Homework Problems
  147. 18: Appendix 2 - Moment Integrals
  148. 18.01: Moment Integrals
  149. 18.02: Centroids of Areas via Integration
  150. 18.03: Centroids in Volumes and Center of Mass via Integration
  151. 18.04: Centroids and Centers of Mass via Method of Composite Parts
  152. 18.05: Area Moments of Inertia via Integration
  153. 18.06: Mass Moments of Inertia via Integration
  154. 18.07: Moments of Inertia via Composite Parts and Parallel Axis Theorem
  155. 19: Appendix 3 Homework Problems