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General Physics I: Classical Mechanics

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General Physics I: Classical Mechanics

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David and G. Simpson and Larry L. Simpson
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Prince George's Community College
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LibreTexts
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CC BY-NC-SA
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EN
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Mục lục· 320 mục
  1. 01: What is Physics
  2. 02: The Greek Alphabet
  3. 03: Quotations from the Classical Greek
  4. 04: Deductive Logic
  5. 05: Units
  6. 5.01: Systems of Units
  7. 5.02: SI Units
  8. 5.03: Other Systems of Units
  9. 5.04: Units as an Error-Checking Technique
  10. 5.05: Unit Conversions
  11. 5.06: Currency Units
  12. 5.07: Odds and Ends
  13. 06: Problem-Solving Strategies
  14. 07: Density
  15. 7.01: Density
  16. 7.02: Specific Gravity
  17. 7.03: Density Trivia
  18. 08: Kinematics in One Dimension
  19. 8.01: Position
  20. 8.02: Velocity
  21. 8.03: Acceleration
  22. 8.04: Higher Derivatives
  23. 8.05: Dot Notation
  24. 8.06: Inverse Relations
  25. 8.07: Constant Acceleration
  26. 8.08: Summary
  27. 8.09: Geometric Interpretations
  28. 8.10: Projects
  29. 09: Vectors
  30. 9.01: Introduction to Vectors
  31. 9.02: Vector Arithmetic- Graphical Methods
  32. 9.03: Vector Arithmetic- Algebraic Methods
  33. 9.04: Vector Operations
  34. 10: The Dot Product
  35. 10.01: Definition
  36. 10.02: Component Form
  37. 10.03: Properties
  38. 10.04: Matrix Formulation
  39. 11: Kinematics in Two or Three Dimensions
  40. 11.01: Position Velocity Acceleration
  41. 11.02: Constant Acceleration
  42. 11.03: Vertical vs. Horizontal Motion
  43. 11.04: Summary
  44. 12: Projectile Motion
  45. 12.01: Introduction to Projectile Motion
  46. 12.02: Range
  47. 12.03: Maximum Altitude
  48. 12.04: Shape of the Projectile Path
  49. 12.05: Hitting a Target on the Ground
  50. 12.06: Hitting a Target on a Hill
  51. 12.07: Exploding Projectiles and Other Considerations
  52. 12.08: The Monkey and the Hunter Problem
  53. 12.09: Summary
  54. 13: Newtons Method
  55. 13.01: The Method
  56. 13.02: Example- Square Roots
  57. 13.03: Projectile Problem
  58. 14: Mass
  59. 15: Force
  60. 15.01: The Four Forces of Nature
  61. 15.02: Hookes Law
  62. 15.03: Weight Tension and Normal Force
  63. 16: Newtons Laws of Motion
  64. 16.01: First Law of Motion
  65. 16.02: Second Law of Motion
  66. 16.03: Third Law of Motion
  67. 17: The Inclined Plane
  68. 18: Atwoods Machine
  69. 19: Statics
  70. 19.01: Mass Suspended by Two Ropes
  71. 19.02: The Elevator
  72. 19.03: The Catenary
  73. 20: Friction
  74. 20.01: Introduction to Friction
  75. 20.02: Static Friction
  76. 20.03: Kinetic Friction
  77. 20.04: Rolling Friction
  78. 20.05: The Coefficient of Friction
  79. 21: Blocks and Pulleys
  80. 21.01: Horizontal Block and Vertical Block
  81. 21.02: Inclined Block and Vertical Block
  82. 22: Resistive Forces in Fluids
  83. 22.01: Model I F v
  84. 22.02: Model II- F v
  85. 23: Circular Motion
  86. 23.01: Introduction to Circular Motion
  87. 23.02: Centripetal Force
  88. 23.03: Centrifugal Force
  89. 23.04: Relations between Circular and Linear Motion
  90. 23.05: Examples
  91. 24: Work
  92. 24.01: Introduction to Work
  93. 24.02: Case I- Constant force parallel to the direction of motion
  94. 24.03: Case II- Constant force at an angle to the direction of motion
  95. 24.04: Case III- Variable force in the direction of motion
  96. 24.05: Case IV (General Case)- Variable force along any direction
  97. 24.06: Summary
  98. 25: Simple Machines
  99. 25.01: Inclined Plane
  100. 25.02: Wheel and Axle
  101. 25.03: Pulley
  102. 25.04: Lever
  103. 25.05: Wedge and Screws
  104. 25.06: Gears
  105. 26: Energy
  106. 26.01: Kinetic Energy
  107. 26.02: Potential Energy
  108. 26.03: Other Forms of Energy
  109. 26.04: Conservation of Energy
  110. 26.05: The Work-Energy Theorem
  111. 26.06: The Virial Theorem
  112. 27: Conservative Forces
  113. 28: Power
  114. 28.01: Energy Conversion of a Falling Body
  115. 28.02: Rate of Change of Power
  116. 28.03: Vector Equation
  117. 29: Linear Momentum
  118. 29.01: Conservation of Momentum
  119. 29.02: Newtons Second Law of Motion
  120. 30: Impulse
  121. 31: Collisions
  122. 31.01: The Coefficient of Restitution
  123. 31.02: Perfectly Inelastic Collisions
  124. 31.03: Perfectly Elastic Collisions
  125. 31.04: Newtons Cradle
  126. 31.05: Inelastic Collisions
  127. 31.06: Collisions in Two Dimensions
  128. 32: The Ballistic Pendulum
  129. 33: Rockets
  130. 33.01: The Rocket Equation
  131. 33.02: Mass Fraction
  132. 33.03: Staging
  133. 34: Center of Mass
  134. 34.01: Discrete Masses
  135. 34.02: Continuous Bodies
  136. 35: The Cross Product
  137. 35.01: Definition and Forms
  138. 35.02: Properties
  139. 35.03: Inverse
  140. 36: Rotational Motion
  141. 36.01: Translational vs. Rotational Motion
  142. 36.02: Problems
  143. 37: Moment of Inertia
  144. 37.01: Introduction to the Moment of Inertia
  145. 37.02: Radius of Gyration
  146. 37.03: Parallel Axis Theorem
  147. 37.04: Plane Figure Theorem
  148. 37.05: Rouths Rule
  149. 37.06: Lees Rule
  150. 38: Torque
  151. 38.01: Introduction to Torque
  152. 38.02: Rotational Version of Hookes Law
  153. 39: Measuring the Moment of Inertia
  154. 39.01: Torque Method
  155. 39.02: Pendulum Method
  156. 40: Newtons Laws of Motion- Rotational Versions
  157. 41: The Pendulum
  158. 41.01: The Simple Plane Pendulum
  159. 41.02: The Spherical Pendulum
  160. 41.03: The Conical Pendulum
  161. 41.04: The Torsional Pendulum
  162. 41.05: The Physical Pendulum
  163. 41.06: Other Pendulums
  164. 42: Simple Harmonic Motion
  165. 42.01: Introduction to Simple Harmonic Motion
  166. 42.02: Energy
  167. 42.03: Frequency and Period
  168. 42.04: The Vertical Spring
  169. 42.05: Mass on a Spring
  170. 42.06: More on the Spring Constant
  171. 43: Rocking Bodies
  172. 43.01: The Half-Cylinder
  173. 44: Rolling Bodies
  174. 44.01: Velocity
  175. 44.02: Acceleration
  176. 44.03: Kinetic Energy
  177. 44.04: The Wheel
  178. 44.05: Ball Rolling in a Bowl
  179. 45: Galileos Law
  180. 45.01: Introduction to Galileo's Law
  181. 45.02: Modern Treatment
  182. 46: The Coriolis Force
  183. 46.01: Introduction to the Coriolis Force
  184. 46.02: Examples
  185. 47: Angular Momentum
  186. 47.01: Introduction to Angular Momentum
  187. 47.02: Conservation of Angular Momentum
  188. 48: Conservation Laws
  189. 49: The Gyroscope
  190. 49.01: Precession
  191. 49.02: Nutation
  192. 50: Elasticity
  193. 50.01: Introduction to Elasticity
  194. 50.02: Longitudinal (Normal) Stress
  195. 50.03: Transverse (Shear) StressTranslational
  196. 50.04: Transverse (Shear) StressTorsional
  197. 50.05: Volume Stress
  198. 50.06: Elastic Limit
  199. 50.07: Summary
  200. 51: Fluid Statics
  201. 51.01: Archimedes Principle
  202. 51.02: Floating Bodies
  203. 51.03: Pressure
  204. 51.04: Change in Fluid Pressure with Depth
  205. 51.05: Pascals Law
  206. 52: Fluid Dynamics
  207. 52.01: Introduction to Fluid Dynamics
  208. 52.02: The Continuity Equation
  209. 52.03: Bernoullis Equation
  210. 52.04: Torricellis Theorem
  211. 52.05: The Siphon
  212. 52.06: Viscosity
  213. 52.07: The Reynolds Number
  214. 52.08: Stokess Law
  215. 52.09: Fluid Flow through a Pipe
  216. 52.10: Gases
  217. 52.11: Superfluids
  218. 53: Hydraulics and Pneumatics
  219. 53.01: Hydraulics- The Hydraulic Press
  220. 53.02: Pneumatics
  221. 54: Gravity
  222. 54.01: Newtons Law of Gravity
  223. 54.02: Gravitational Potential
  224. 54.03: The Cavendish Experiment
  225. 54.04: Helmerts Equation
  226. 54.05: Earth Density Model
  227. 54.06: Escape Velocity
  228. 54.07: Gausss Formulation
  229. 54.08: General Relativity
  230. 54.09: Black Holes
  231. 55: Earth Rotation
  232. 55.01: Precession
  233. 55.02: Nutation
  234. 55.03: Polar Motion
  235. 55.04: Rotation Rate
  236. 56: Geodesy
  237. 56.01: Introduction to Geodesy
  238. 56.02: Radius of the Earth
  239. 56.03: The Cosine Formula
  240. 56.04: Vincentys Formul- Introduction
  241. 56.05: Vincentys Formul- Direct Problem
  242. 56.06: Vincentys Formul- Inverse Problem
  243. 57: Celestial Mechanics
  244. 57.01: Keplers Laws
  245. 57.02: Time
  246. 57.03: Orbit Reference Frames
  247. 57.04: Orbital Elements
  248. 57.05: Right Ascension and Declination
  249. 57.06: Computing a Position
  250. 57.07: The Inverse Problem
  251. 57.08: Corrections to the Two-Body Calculation
  252. 57.09: Bound and Unbound Orbits
  253. 57.10: The Vis Viva Equation
  254. 57.11: Bertrands Theorem
  255. 57.12: Differential Equation for an Orbit
  256. 57.13: Lagrange Points
  257. 57.14: The Rings of Saturn
  258. 57.15: Hyperbolic Orbits
  259. 57.16: Parabolic Orbits
  260. 58: Astrodynamics
  261. 58.01: Circular Orbits
  262. 58.02: Geosynchronous Orbits
  263. 58.03: Elliptical Orbits
  264. 58.04: The Hohmann Transfer
  265. 58.05: Gravity Assist Maneuvers
  266. 58.06: The International Cometary Explorer
  267. 59: Partial Derivatives
  268. 59.01: First Partial Derivatives
  269. 59.02: Higher-Order Partial Derivatives
  270. 60: Lagrangian Mechanics
  271. 60.01: Examples
  272. 61: Hamiltonian Mechanics
  273. 61.01: Examples
  274. 62: Special Relativity
  275. 62.01: Postulates
  276. 62.02: Time Dilation
  277. 62.03: Length Contraction
  278. 62.04: An Example
  279. 62.05: Momentum
  280. 62.06: Addition of Velocities
  281. 62.07: Energy
  282. 63: Quantum Mechanics
  283. 63.01: Review of Newtonian Mechanics
  284. 63.02: Quantum Mechanics
  285. 63.03: Example- Simple Harmonic Oscillator
  286. 63.04: The Heisenberg Uncertainty Principle
  287. 64: The Standard Model
  288. 64.01: Matter
  289. 64.02: Antimatter
  290. 64.03: Forces
  291. 64.04: The Higgs Boson
  292. 65: Further Reading
  293. 66: Appendices
  294. 66.01: Greek Alphabet
  295. 66.02: Trigonometry
  296. 66.03: Hyperbolic Trigonometry
  297. 66.04: Useful Series
  298. 66.05: Table of Derivatives
  299. 66.06: Table of Integrals
  300. 66.07: Mathematical Subtleties
  301. 66.08: SI Units
  302. 66.09: Gaussian Units
  303. 66.10: British Engineering Units
  304. 66.11: Units of Physical Quantities
  305. 66.12: Physical Constants
  306. 66.13: Astronomical Data
  307. 66.14: Unit Conversion Tables
  308. 66.15: Angular Measure
  309. 66.16: Vector Arithmetic
  310. 66.17: Matrix Properties
  311. 66.18: Newtons Laws of Motion (Original)
  312. 66.19: The Simple Plane Pendulum- Exact Solution
  313. 66.20: Motion of a Falling Body
  314. 66.21: Table of Viscosities
  315. 66.22: Calculator Programs
  316. 66.23: Round-Number Handbook of Physics
  317. 66.24: Short Glossary of Particle Physics
  318. 66.25: Fundamental Physical Constants Extensive Listing
  319. 66.26: Periodic Table of the Elements
  320. 67: References