Theoretical Mechanics | |
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Original Title | Theoretical Mechanics |

Author | M. Movnin, A. Izrayelit |

Publication date |
1970 |

Topics | mechanics, statiscs, kinematics, couple, torque, lever, simple machines, friction, centre of gravity, rigid bodies, rotary motion, plane motion, dynamics, inertia, kinetostatics, law of conservation of angular momentum, law of conservation of momentum, law of conservation of energy, newton’s laws of motion, analysis of mechanisms, cam gears, rolling motion, acceleration, forces |

Publisher | Mir Publishers |

Collection | mir-titles, additional_collections |

Language | English |

Book Type | EBook |

Material Type | Book |

File Type | |

Downloadable | Yes |

Support | Mobile, Desktop, Tablet |

Scan Quality: | Best No watermark |

PDF Quality: | Good |

Availability | Yes |

Price | 0.00 |

Submitted By | mirtitles |

Submit Date | |

The new international system of units (SI) is used through out the text. However, taking into account that the engineers’ system (mkgfs) still finds wide use, the units of this system are also given. Moreover, wherever necessary the rela tions are indicated between the units of the international and engineers’ systems. Normative and design data are given in both systems of units. In the presentation of the material primary emphasis is placed on the practical significance of conclusions. To gain a better understanding of theoretical propositions, the solutions of sample problems are given. All solutions are first carried out in algebraic form and then numerical data are substituted. Although the book is mainly intended for full-time vocational schools, the large number of detailed and specially selected examples makes it handy for their evening and correspondence departments as well. Translated from the Russian by M. Konyaeva From the Authors 5 Notation 12 Introduction 15 Chapter I. Basic Definitions and Axioms of Statics 17 1. Fundamentals 17 2. Axioms of Statics 22 3. Constraints and Their Reactions. Axioms of Constraints 25 Chapter II. Systems of Concurrent Forces in a Plane 28 4. Analytic Determination of the Resultant of Two Forces Applied at the Same Point 28 5. Resolution of a Force into Two Components Applied at the Same Point 30 6. Point Addition of Concurrent Forces in a Plane. Force Polygon 32 7. Projection of a Force on an Axis 33 8. Projection of a Vector Sumon an Axis 36 9. Analytic Determination of the Resultant of a System of Concurrent Forces (Method of Projections) 37 10. Conditions and Equations of Equilibrium for a System of Concurrent Forces 39 11. Procedure for Solving Equilibrium Problems 40 12. Theorem of Concurrence of Three Mutually Balanced Non-Parallel Forces 49 Chapter III. Couple 52 13. Addition of Two Parallel Forces of the Same Sense 52 14. Addition of Two Parallel Forces of OppositeSense 53 15. Moment of a Couple 56 16. Equivalence of Couples. Translation of a Couple in Its Plane of Action 58 17. Theorem of Equivalent Couples 60 18. Addition of Couples Acting in the Same Plane 61 Chapter IV. Two-Dimensional Systems of Arbitrarily Located Forces 65 19. Moment of a Force About a Point 65 20. Equilibrium of a Lever 67 21. Reduction of a Force to a Given Point 69 22. Reduction of a Two-Dimensional Force System to a Given Point 70 23. Resultant of a Two-Dimensional Force System 72 24. Theorem of the Moment of a Resultant (Varignon’s Theorem) 73 25. A Case of the Reduction of a Two-Dimensional Force System to a Couple 79 26. Conditions and Equations of Equilibrium for a Two-Dimensional Force System 80 27. Three Forms of Equilibrium Equations 82 28. Supporting Devices of Beam Systems 85 29. Classification of Loads 88 30. Practical Solution of Equilibrium Problems for Two-Dimensional Force Systems 89 31. Equilibrium of a System of Connected Bodies 101 Chapter V. Friction 106 32. Types of Friction 106 33. The Laws of Sliding Friction 107 34. Angle and Cone of Friction 109 35. Experimental Determination of Coefficients of Friction 114 36. The Laws of Rolling Friction 116
Chapter VI. Three-Dimensional Force Systems 120 37. Force Parallelepiped 120 38. Equilibrium of a System of Concurrent Forces in Space 121 39. Moment of a Force About an Axis 123 40. Equilibrium of an Arbitrary Three-Dimensional Force System 128 Chapter VII Centroids and Centres of Gravity 134 41. Centre of Parallel Forces 134 42. Co-ordinates of the Centre of ParallelForces 135 43. Centroid of a Volume 139 44. Centroid of an Area. Static Moments of an Area 141 45. Centroid of a Line 147 46. Stability of Equilibrium 147 PART 2. KINEMATICS Chapter VIII. Fundamentals 154 47. Subject of Kinematics 154 48. Space and Time 154 49. Basic Definitions 156 Chapter IX. Kinematics of Particles 160 50. Methods of Specifying the Motion of a Particle 160 51. Velocity of a Particle 162 52. Acceleration of a Particle 167 53. Types of Motion of a Particle as Related to Acceleration 174 54. Uniformly Variable Motion of a Particle 176 55. Kinematic Graphs and Relationship Between Them 180 Chapter X. Simple Motions of Rigid Bodies 185 56. Translation of a Rigid Body 185 57. Rotation of a Rigid Body About a Fixed Axis 186 58. Velocities and Accelerations of Points of a Rotating Body 191 Chapter XI. Methods of Transmission of Rotary Motion 198 59. Classification of Transmission Mechanisms 198 60. Gear Ratio 198 61. Cylinder Friction Drives 200 62. Face Friction Drives 202 63. Cone Friction Drives 203 64. Belt Drives: Fundamental Concepts 205 65. Gear Drives: General Considerations 206 66. Gear Ratio of a Spur Gear Drive 207 67. Gear Trains 208 68. Worm Gearing 212 Chapter XII Complex Motion of Particles 216 69. Base, Relative and Absolute Motions 216 70. Theorems on Addition of the Velocities and Accelerations of a Particle in Complex Motion 219 Chapter XIII. Plane Motion. 225 71. Concept of Plane Motion of a Rigid Body 225 72. Determination of the Velocity of Any Point of a Body in Plane Motion 226 73. Instantaneous Centre of Zero Velocity 228 74. Determination of the Acceleration of Any Point of a Body in Plane Motion 240 75. Planetary Gearing 244 76. Differential Gearing 247
PART 3. DYNAMICS Chapter XIV Basic Concepts and Axioms of Dynamics 251 77. Subject of Dynamics 251 78. Principle of Inertia 252 79. Fundamental Law of Dynamics of Particles 252 80. Systems of Units 254 81. Axiom of Superposition 256 82. Axiom of Interaction 258 83. Two Basic Problems of Dynamics 259 Chapter XV. Motion of Particles. Method of Kinetostatics 268 84. Ideal and Real Constraints 268 85. D ’Alembert’s Principle 269 86. Inertia Force for a Particlein Rectilinear Motion 271 87. Inertia Force for a Particle in Curvilinear Motion 271 88. Inertia Force for a Rigid Body 274 89. Solution of Problems by the Method of Kinetostatics 275 Chapter XVI Work and Power 280 90. Work of a Constant Force in Rectilinear Motion 280 91. Work of a Variable Force in Curvilinear Motion 282 92. Work of a Resultant Force 283 93. Work of a Force of Gravity 285 94. Work of an Elastic Force 286 95. Concept of Mechanical Efficiency 289 96. Efficiency of a System of Mechanisms Connected in Series 290 97. Efficiency of a System of Mechanisms Connected in Parallel 291 98. Power 296 99. Work and Efficiency for Bodies Sliding Along an Inclined Plane 298 100. Work and Power in Rotation 306 101. Work in Rolling Motion 308 Chapter XVII The Laws of Dynamics 315 102. Concept of a System of Particles 315 103. Law of Momentum for a Particle 317 104. Law of Momentum for a System of Particles 322 105. Potential and Kinetic Energy 324 106. Kinetic Energy of a Body in Various Types of Motion 325 107. Moments of Inertia of Homogeneous Bodies of Simple Shape 327 108. Law of Kinetic Energy for a Particle 330 109. Law of Kinetic Energy for a System of Particles 333 110. Fundamental Equation of Dynamics for a Rigid Body in Rotation 338 Chapter XVIII. Application of the Laws of Kinematics and Dynamics to the Analysis to Mechanisms 345 111. Principles and Definitions 345 112. Fundamentals of Kinematics of Mechanisms 350 113. Examples of Constructing Velocity Diagrams 359 114. Distribution of Accelerations in a Body in Plane Motion 363 115. Examples of Constructing Acceleration Diagrams 367 116. Cam Gears 374 117. Introduction to the Dynamics of Machinery 381 118. Fundamentals of the Dynamic Analysis of Mechanisms 387 119. Fundamentals of Regulation. 395 Subject Index 406 |