In this post, we will see the book Mechanics by S. P. Strelkov.
About the book
This general course of Mechanics by late Prof. S. P. Strelkov is meant for students of Physical and Mathematical Departments of Universities and pedagogical colleges. It is based on the material of the seminars and lectures given by the author for many years at the Physics Departmentof the State University of Moscow. The present book is the revised translation of the 1975 Russian edition in which the course was considerably remade and enlarged. This first of all concerns such important divisions of mechanics as dynamics of a rigid body, theory of deformable bodies, hydrodynamics, andrelativistic dynamics. The pedagogical skill of the author makes the presentation of the fundamentalsof mechanics extremely clear and visual. The book includes many important and instructive examples covering a wide range of mechanical phenomena. The book can serve as an introduction to practical and theoretical physics.S. P. Strelkov was a talented teacher and wrote very good textbooks in mechanics and vibration theory and also a collection of problems in the general course of physics. A characteristic feature of his scientific and pedagogical work was the thorough physical analysis of the phenomena in question.
Translated from the Russian by V. M. Volosov, D.Sc. and I. G. Volosova
First published 1978
Revised from the 1975 Russian edition
All credits to @hawakajhonka for making the book accessible.
You can get the book here. or here
Many thanks to @hawakajhonka for making this book available
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Contents
Foreword to the Third Russian Edition 5
Introduction 13
PART ONE
Mechanics of Rigid Bodies 21
Chapter 1 Kinematics of a Particle 23
1. Motion of Bodies 23
2. Rectilinear Motion of a Particle 24
3. Velocity of a Particle in Rectilinear Motion 25
4. Relationship Between the Velocity and the Distance Travelled 28
5. Acceleration of a Particle in Rectilinear Motion 31
6. Three-dimensional Motion of a Particle 32
7. Basic Properties of Vectors 34
8. Velocity of a Particle 38
9. Acceleration of a Particle in Plane Motion. Centripetal Acceleration
42
10. Acceleration of a Particle in Three-dimensional Motion 48
11. Space, Time, and Frames of Reference 51
Chapter 2 Fundamental Laws of Dynamics 53
12. Motion and Interaction of Bodies 53
13. Force 54
14. Measuring Constant Forces 55
15. Equilibrium Conditions for Forces Acting on a Particle 58
16. Force and Motion (Newton’s First Law) 62
17. Newton’s Second Law 64
18. Mass of a Body 66
19. General Form of Newton’s Second Law 68
20. Newton’s Third Law 70
21. Forces and Newton’s Second and Third Laws 72
22. Motion of a Body Under the Action of Given Forces 78
23 Constrained Motion of a Body ^ 84
Chapter 3 Momentum of a System of Bodies 95
24. Law of Conservation of Momentum 95
25. Transfer of Momentum from One Body to Another 98
26. Impulse of a Force 103
27. Motion of a Body with Variable Mass 104
Chapter 4 Work and Energy 111
28. The Concept of Energy 111
29. Work and Energy 112
30. Work of a Force 114
31. Potential Energy of Strain 115
32. Kinetic Energy of a Body 116
33. Perfectly Plastic Impact of Two Bodies 117
34. Elastic Impact 119
35. Impact of Non-elastic Bodies 128
36. Potential Energy 129
37. Change of Energy of a Body in the Gravitation Field. Law of Conservation of Energy 134
Chapter 5 Friction 137
38. Various Types of Friction Forces 137
39. Viscous Friction 139
40. Fall of a Ball in a Viscous Medium 141
41. Dry Friction 144
42. Force of Sliding Friction 147
Chapter 6
Relative Motion 152
43. Inertial Reference Frames 152
44. Motion of a Body in a Non-inertial System of Reference. Inertia
Forces 153
45. Inertia Forces Acting on a Body in a Rotating Frame of Reference 156
46. Weightlessness 157
47. The Relationship Between the Vectors of Angular and Linear Velocities
of a Particle 160
48. Inertia Forces Acting on a Body Moving in a Rotating Frame of
Reference 161
49. The Influence of the Earth’s Rotation on the Motion of Bodies. The
Foucault Pendulum 169
Chapter 7 Motion of a Rigid Body 176
50. Translatory and Rotational Motions of a Rigid Body 176
51. Equilibrium Conditions for a Rigid Body with a Fixed Axis of Rotation
179
52. Law of Dynamics for a Body Rotating About a Fixed Axis 181
53. Angular Momentum 185
54. Kinetic Energy of a Rotating Body 188
55. Centre of Gravity and Centre of Mass of a Rigid Body 192
56. The Law of Motion of the Centre of Mass of a Body 196
57. Plane Motion of a Body 200
58. Rolling Motion of a Cylinder on a Plane. Maxwell’s Pendulum 206
59. Moments of Inertia of Some Bodies. Huygens-Steiner Parallel
Axes Theorem 212
60. Kinetic Energy of a Body for Simultaneous Translatory and Rotational Motions 217
61. Free Axes of Rotation 219
62. Kinematics of a Rigid Body 221
63. Moment of a Force About a Point and Angular Momentum of a
Rigid Body 226
64. Angular Momentum of a Rigid Body and Moment of Inertia 228
65. The Fundamental Law of Dynamics of a Rigid Body 238
66. Gyroscopes 241
67. Motion of the Axis of a Gyroscope 244
68. Gyroscopic Effect 249
69. Rotation of the Axis of a Constrained Gyroscope 250
70. Motion of a Free Gyroscope 252
71. On Gyroscopic Forces 256
Chapter 8 Rolling Friction 259
72. Forces of Rolling Friction. Forces of Sliding Friction in Rolling
Motion of a Cylinder 259
73. Adhesion of Wheels 262
74. Braking and Skidding 263
75. Rolling Friction 265
Chapter 9 Gravitational Attraction of Bodies 270
76. Law of Universal Gravitation 270
77. Inertial Mass and Gravitational Mass 278
78. Potential Energy of Gravitation 278
79. Basic Laws of Celestial Mechanics 276
80. Motion of Earth’s Satellites and Spaceships 280
PART TWO
Mechanics of Deformable Bodies
Chapter 10 Mechanics of Deformable Solids 285
81. The Concept of an Elastic Body, Forces and Deformations in Tension 285
82. Physical Phenomena in a Deformable Body. Properties otJMaterials 290
83. Internal Forces and Stresses 293
84. Shearing Stresses and Strains 295
85. Stresses in an Elastic Body. General Case 298
86. Small Deformations of a Body 304
87. Relationship Between Stresses and Strains 308
88. Strain Energy 314
89. Forces and Deformations in the Bending of Beams 316
90. Determination of Deflection of a Beam 321
91. On Deformation of Supports 326
92. Stresses in Overload and Weightlessness 332
Chapter 11 Equilibrium of Fluids and Gases 337
93. Solids, Fluids, and Gases 337
94. The Concept of Pressure 338
95. Relationship Between the Density of a Gas and the Pressure 341
96. Distribution of Pressure in a Fluid in Equilibrium State 342
97. Distribution of Pressure in a Gas 344
98. Equilibrium of Bodies Floating on the Surface of a Fluid 346
99. Equilibrium Conditions for a Body Immersed in a Fluid or Gas 347
Chapter 12 Motion of Fluids and Gases 349
100. Stationary Fluid Flow 349
101. Fundamental Law of Dynamics for a Particle of an Ideal Fluid 353
102. Bernoulli’s Equation for a Stationary Flow of an Incompressible
Fluid 357
103. Outflow of a Heavy Fluid from a Vessel 359
104. Pressure in Fluid Flow in a Pipe with Variable Cross Section 362
105. Outflow of Fluid or Gas from a Vessel Under the Action of Pressure 363
106. Pressure at the Stagnation Point in a Flow Around a Body 366
107. Variation of Pressure Across a Stream Tube 369
103. Distribution of Pressure in a Rotating Fluid 371
109. Momentum of Fluid or Gas 372
110. Reaction Force of Flowing Fluid 373
111. Flow of a Viscous Fluid in a Pipe 3?8
Chapter 13 Action of a Fluid or Gas Flow on a Body 384
112. Drag Force 384
113. Dynamical Similarity of Bodies 389
114. Boundary Layer 392
115. Measuring Forces Acting on a Body in a Flow of Fluid or Gas 394
116. Lift Force of a Wing of an Airplane 397
117. Fluid Flow Around a Wing. Circulation. Lift Force 399
118. Dependence of the Lift Force on the Angle of Incidence. Wing Drag 405
119. Forces in a Flight of an Airplane 408
120. Propagation of Pressure Disturbances in a Compressible Fluid.
Supersonic Motion of a Body 409
121. Wave with Large Variation of Pressure. Motion of a Body with
Large Velocity 415
122. Supersonic Flow in a Pipe 417
PART THREE
Oscillations and Waves. Elements of Acoustics.
Fundamentals of Special Theory of Relativity
Chapter 14 Oscillations 423
123. Periodic Processes 423
124. Harmonic Vibrations 424
125. Natural Oscillation and Variation of Energy in Oscillation Process 430
126. Damped Natural Oscillations 435
127. Forced Oscillation and Resonance 439
128. Dependence of the Amplitude of a Forced Oscillation on the Frequency
442
129. Vibration of a Shaft with Disk 447
130. Transient Processes and Compound Vibrations. Harmonic Analysis 451
131. Auto-oscillation 456
132. Natural Oscillations of a System with Many Degrees of Freedom 461
133. Theoretical Analysis of Beating 464
134. Natural Frequencies of Coupled Pendulums 467
135. Natural Frequencies of Three Connected Pendulums 468
136. Forced Oscillations in Composite Systems 470
Chapter 15 Vibrations in a Continuous Medium 474
137. Waves 474
138. Sinusoidal Plane Sound Wave 480
139. Energy of Sound Wave 482
140. Plane Waves in a Gas and in a Homogeneous Elastic Medium 486
141. Superposition (Interference) of Waves 490
142. Reflection of Waves 493
143. Natural Vibrations of a String and of the Air in a Pipe 498
Chapter 16 Elements of Acoustics 505
144. Basic Phenomena 505
145. Reflection of Sound Waves 506
146. Propagation of Sound Waves 509
147. Hearing 510
148. Ultrasonic Vibrations 511
Chapter 17 Fundamentals of Special Theory of Relativity 518
149. Galileo’s Principle of Relativity 513
150. Constancy of Speed of Light 516
151. Simultaneity of Events 517
152. Lorentz Transformation 520
153. Analysis of Lorentz Transformation 523
154. Momentum 531
155. Dependence of Mass on Velocity of Motion 532
156. Transformation Laws for Momentum and Mass 534
157. Energy 537
158. Momentum and Energy of System of Particles 540
159. Invariants 542
160. Four-vector. Space-like, Time-like, and Light-like Intervals 544
161. Relativistic Mechanics 549
162. Theory of Elastic Impact of Two Particles 554
Name Index 560
Subject Index 561
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