Phu Xuan University Library
|
PXU E-LIB
Sign in
Classical Mechanics

External

Classical Mechanics

The principles of mechanics successfully described many phenomena encountered in the world. Conservation laws involving energy, momentum and angular momentum provided a second parallel approach to solving many of the same problems. This text investigate both approaches: Force and conservation laws to develop a conceptual understanding of the core concepts, a familiarity with the experimental verification of our theoretical laws, and an ability to predict the motions of bodies.

Classical MechanicsPhysics
Author
Peter Dourmashkin
Publisher
Massachusetts Institute of Technology
Source
LibreTexts
License
CC BY-NC-SA
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 197 sections
  1. 01: Introduction to Classical Mechanics
  2. 1.01: Introduction
  3. 02: Units Dimensional Analysis Problem Solving and Estimation
  4. 2.01: The Speed of light
  5. 2.02: International System of Units
  6. 2.03: Dimensions of Commonly Encountered Quantities
  7. 2.04: Order of Magnitude Estimates - Fermi Problems
  8. 03: Vectors
  9. 3.01: Vector Analysis
  10. 3.02: Coordinate Systems
  11. 3.03: Vectors
  12. 3.04: Vector Product (Cross Product).
  13. 04: One Dimensional Kinematics
  14. 4.01: Introduction to One Dimensional Kinematics
  15. 4.02: Position Time Interval and Displacement
  16. 4.03: Velocity
  17. 4.04: Acceleration
  18. 4.05: Constant Acceleration
  19. 4.06: One Dimensional Kinematics and Integration
  20. 05: Two Dimensional Kinematics
  21. 5.01: Introduction to the Vector Description of Motion in Two Dimensions
  22. 5.02: Projectile Motion
  23. 06: Circular Motion
  24. 6.01: Introduction to Circular Motion
  25. 6.02: Circular Motion- Velocity and Angular Velocity
  26. 6.03: Circular Motion- Tangential and Radial Acceleration
  27. 6.04: Period and Frequency for Uniform Circular Motion
  28. 6.05: Angular Velocity and Angular Acceleration
  29. 6.06: Non-circular Central Motion
  30. 07: Newtons Laws of Motion
  31. 7.01: Force and Quantity of Matter
  32. 7.02: Newtons First Law
  33. 7.03: Momentum Newtons Second Law and Third Law
  34. 7.04: Newtons Third Law- Action-Reaction Pairs
  35. 08: Applications of Newtons Second Law
  36. 8.01: Force Laws
  37. 8.02: Fundamental Laws of Nature
  38. 8.03: Constraint Forces
  39. 8.04: Free-body Force Diagram
  40. 8.05: Tension in a Rope
  41. 8.06: Drag Forces in Fluids
  42. 8.07: Worked Examples
  43. 09: Circular Motion Dynamics
  44. 9.01: Introduction Newtons Second Law and Circular Motion
  45. 9.02: Universal Law of Gravitation and the Circular Orbit of the Moon
  46. 9.03: Worked Examples Circular Motion
  47. 9.04: Appendix 9A The Gravitational Field of a Spherical Shell of Matter .
  48. 10: Momentum System of Particles and Conservation of Momentum
  49. 10.01: Introduction
  50. 10.02: Momentum (Quantity of Motion) and Average Impulse
  51. 10.03: External and Internal Forces and the Change in Momentum of a System
  52. 10.04: System of Particles
  53. 10.05: Center of Mass
  54. 10.06: Translational Motion of the Center of Mass
  55. 10.07: Constancy of Momentum and Isolated Systems
  56. 10.08: Momentum Changes and Non-isolated Systems
  57. 10.09: Worked Examples
  58. 11: Reference Frames
  59. 11.01: Introduction to Reference Frames
  60. 11.02: Galilean Coordinate Transformations
  61. 11.03: Law of Addition of Velocities - Newtonian Mechanics
  62. 11.04: Worked Examples
  63. 12: Momentum and the Flow of Mass
  64. 12.01: Introduction to Momentum and the Flow of Mass
  65. 12.02: Worked Examples
  66. 12.03: Rocket Propulsion
  67. 13: Energy Kinetic Energy and Work
  68. 13.01: The Concept of Energy and Conservation of Energy
  69. 13.02: Kinetic Energy
  70. 13.03: Kinematics and Kinetic Energy in One Dimension
  71. 13.04: Work done by Constant Forces
  72. 13.05: Work done by Non-Constant Forces
  73. 13.06: Work-Kinetic Energy Theorem
  74. 13.07: Power Applied by a Constant Force
  75. 13.08: Work and the Scalar Product
  76. 13.09: Work done by a Non-Constant Force Along an Arbitrary Path
  77. 13.10: Worked Examples
  78. 13.11: Work-Kinetic Energy Theorem in Three Dimensions
  79. 13.12: Appendix 13A Work Done on a System of Two Particles
  80. 14: Potential Energy and Conservation of Energy
  81. 14.01: Conservation of Energy
  82. 14.02: Conservative and Non-Conservative Forces
  83. 14.03: Changes in Potential Energies of a System
  84. 14.04: Change in Potential Energy and Zero Point for Potential Energy
  85. 14.05: Mechanical Energy and Conservation of Mechanical Energy
  86. 14.06: Spring Force Energy Diagram
  87. 14.07: Change of Mechanical Energy for Closed System with Internal Nonconservative Forces
  88. 14.08: Dissipative Forces- Friction
  89. 14.09: Worked Examples
  90. 15: Collision Theory
  91. 15.01: Introduction to Collision Theory
  92. 15.02: Reference Frames and Relative Velocities
  93. 15.03: Characterizing Collisions
  94. 15.04: One-Dimensional Collisions Between Two Objects
  95. 15.05: Worked Examples
  96. 15.06: Two Dimensional Elastic Collisions
  97. 15.07: Two-Dimensional Collisions in Center-of-Mass Reference Frame
  98. 16: Two Dimensional Rotational Kinematics
  99. 16.01: Introduction
  100. 16.02: Fixed Axis Rotation- Rotational Kinematics
  101. 16.03: Rotational Kinetic Energy and Moment of Inertia
  102. 16.04: Conservation of Energy for Fixed Axis Rotation
  103. 16.05: Appendix 16A- Proof of the Parallel Axis Theorem
  104. 17: Two-Dimensional Rotational Dynamics
  105. 17.01: Introduction to Two-Dimensional Rotational Dynamics
  106. 17.02: Vector Product (Cross Product)
  107. 17.03: Torque
  108. 17.04: Torque Angular Acceleration and Moment of Inertia
  109. 17.05: Torque and Rotational Work
  110. 18: Static Equilibrium
  111. 18.01: Introduction Static Equilibrium
  112. 18.02: Lever Law
  113. 18.03: Generalized Lever Law
  114. 18.04: Worked Examples
  115. 18.05: Appendix 18A The Torques About any Two Points are Equal for a Body in Static Equilibrium
  116. 19: Angular Momentum
  117. 19.01: Introduction
  118. 19.02: Angular Momentum about a Point for a Particle
  119. 19.03: Torque and the Time Derivative of Angular Momentum about a Point for a Particle
  120. 19.04: Conservation of Angular Momentum about a Point
  121. 19.05: Angular Impulse and Change in Angular Momentum
  122. 19.06: Angular Momentum of a System of Particles
  123. 19.07: Angular Momentum and Torque for Fixed Axis Rotation
  124. 19.08: Principle of Conservation of Angular Momentum
  125. 19.09: External Angular Impulse and Change in Angular Momentum
  126. 20: Rigid Body Kinematics About a Fixed Axis
  127. 20.01: Introduction
  128. 20.02: Constrained Motion - Translation and Rotation
  129. 20.03: Angular Momentum for a System of Particles Undergoing Translational and Rotational
  130. 20.04: Kinetic Energy of a System of Particles
  131. 20.05: Rotational Kinetic Energy for a Rigid Body Undergoing Fixed Axis Rotation
  132. 20.06: Appendix 20A Chasless Theorem- Rotation and Translation of a Rigid Body
  133. 21: Rigid Body Dynamics About a Fixed Axis
  134. 21.01: Introduction to Rigid Body Dynamics
  135. 21.02: Translational Equation of Motion
  136. 21.03: Translational and Rotational Equations of Motion
  137. 21.04: Translation and Rotation of a Rigid Body Undergoing Fixed Axis Rotation
  138. 21.05: Work-Energy Theorem
  139. 21.06: Worked Examples
  140. 22: Three Dimensional Rotations and Gyroscopes
  141. 22.01: Introduction to Three Dimensional Rotations
  142. 22.02: Gyroscope
  143. 22.03: Why Does a Gyroscope Precess
  144. 22.04: Worked Examples
  145. 23: Simple Harmonic Motion
  146. 23.01: Introduction to Periodic Motion
  147. 23.02: Simple Harmonic Motion- Analytic
  148. 23.03: Energy and the Simple Harmonic Oscillator
  149. 23.04: Worked Examples
  150. 23.05: Damped Oscillatory Motion
  151. 23.06: Forced Damped Oscillator
  152. 23.07: Small Oscillations
  153. 23.08: Appendix 23A- Solution to Simple Harmonic Oscillator Equation
  154. 23.09: Appendix 23B - Complex Numbers
  155. 23.10: Solution to the Underdamped Simple Harmonic Oscillator
  156. 23.11: Solution to the Forced Damped Oscillator Equation
  157. 24: Physical Pendulums
  158. 24.01: Introduction to Physical Pendulums
  159. 24.02: Physical Pendulum
  160. 24.03: Worked Examples
  161. 24.04: Appendix 24A Higher-Order Corrections to the Period for Larger Amplitudes of a Simple Pendulum
  162. 25: Celestial Mechanics
  163. 25.01: Introduction- The Kepler Problem
  164. 25.02: Planetary Orbits
  165. 25.03: Energy and Angular Momentum Constants of the Motion
  166. 25.04: Energy Diagram Effective Potential Energy and Orbits
  167. 25.05: Orbits of the Two Bodies
  168. 25.06: Keplers Laws
  169. 25.07: Worked Examples
  170. 25.08: Appendix 25A Derivation of the Orbit Equation
  171. 25.09: Appendix 25B Properties of an Elliptical Orbit
  172. 25.10: Appendix 25C Analytic Geometric Properties of Ellipses
  173. 26: Elastic Properties of Materials
  174. 26.01: Introduction
  175. 26.02: Stress and Strain in Tension and Compression
  176. 26.03: Shear Stress and Strain
  177. 26.04: Elastic and Plastic Deformation
  178. 27: Static Fluids
  179. 27.01: Introduction to Static Fluids
  180. 27.02: Density
  181. 27.03: Pressure in a Fluid
  182. 27.04: Pascals Law - Pressure as a Function of Depth in a Fluid of Uniform Density in a Uniform Gravitational Field
  183. 27.5: Compressibility of a Fluid
  184. 27.6: Archimedes’ Principle - Buoyant Force
  185. 28: Fluid Dynamics
  186. 28.01: Ideal Fluids
  187. 28.02: Velocity Vector Field
  188. 28.03: Mass Continuity Equation
  189. 28.04: Bernoullis Principle
  190. 28.05: Worked Examples- Bernoullis Equation
  191. 28.06: Laminar and Turbulent Flow
  192. 29: Kinetic Theory of Gases
  193. 29.01: Introduction- Gases
  194. 29.02: Temperature and Thermal Equilibrium
  195. 29.03: Internal Energy of a Gas
  196. 29.04: Ideal Gas
  197. 29.05: Atmosphere