Book:D.E. Rutherford/Classical Mechanics/Third Edition
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D.E. Rutherford: Classical Mechanics (3rd Edition)
Published $\text {1964}$, Oliver and Boyd
Subject Matter
Contents
- Preface
- Preface to the Third Edition
- Introduction
- chapter $\text {I}$ Kinematics
- 1. Space and time
- 2. Velocity and acceleration
- 3. Relative velocity
- 4. Angular velocity
- 5. Coplanar moving area
- 6. Rate of change of a vector moving relative to moving axes
- 7. Kinematics of a rigid body
- 8. Instantaneous axis of rotation
- Examples $\text {I}$
- chapter $\text {II}$ The Nature of Force
- 9. Newton's laws of motion
- 10. Further consideration of Newton's laws
- 11. Polygon of forces
- 12. Kepler's laws
- 13. Newton's law of gravitation
- 14. Attraction due to a uniform circular ring at a point on its axis
- 15. Attraction due to a uniform spherical shell
- 16. Attraction due to a distribution of matter with spherical symmetry
- 17. Weight
- 18. Electromagnetic forces
- 19. Elastic forces
- 20. Central forces
- 21. Centrifugal forces
- 22. Conservative forces
- 23. Potential energy
- 24. Conservation of energy
- 25. Constrained movement of a particle
- 26. The rough inclined plane
- Examples $\text {II}$
- chapter $\text {III}$ Dynamics of a Particle
- 27. Rectilinear motion
- 28. Rectilinear motion under a constant force
- 29. Rectilinear motion under a resistance proportional to the velocity
- 30. Falling raindrop
- 31. Simple harmonic motion
- 32. Damped oscillator with a periodic applied force
- 33. The equation $\ddot x = n^2 x$
- 34. Probabilities
- 35. Coplanar motion
- 36. Projectiles
- 37. Projectile in a resisting medium
- 38. Orbit of a particle under a central force
- 39. Orbit of a particle under an inverse square attractive force
- 40. Planetary motion
- 41. Moons
- 42. Kepler's equation of time
- 43. Orbit of a particle under an inverse square repulsive force
- 44. Determination of a central force from the orbit
- 45. The simple pendulum and allied problems
- 46. Charged particles in a magnetic field
- 47. Momentum
- 48. Recoil of a gun
- 49. Rectilinear motion of a rocket
- 50. Moment of a localised vector
- 51. Moment of momentum
- 52. Impulsive forces
- 53. Collisions
- 54. An example of constrained motion
- 55. Motion relative to the earth
- Examples $\text {III}$
- chapter $\text {IV}$ Dynamics of Rigid Bodies
- 56. The mass centre
- 57. The motion of the mass centre
- 58. Moment of momentum of a system of particles
- 59. Kinetic energy of a system of particles
- 60. Rigid bodies
- 61. Impulsive motion of a rigid body
- 62. Potential energy
- 63. Equivalent systems of forces
- 64. Poinsot's central axis
- 65. Centre of gravity
- 66. Equilibrium
- 67. Virtual work
- 68. Equations of motion
- 69. Kinetic energy in two-dimensional problems
- 70. An example on impulsive motion
- 71. Small oscillations
- 72. Compound pendulum
- 73. Stability of equilibrium
- 74. Moments and products of inertia
- 75. Evaluation of the moments and products of inertia
- 76. Rotation of the axes
- 77. Translation of the axes
- 78. The kinetic energy of a rigid body
- 79. Euler's equations of motion
- 80. Eulerian nutation
- 81. Steady precession of a gyrostat
- 82. The Eulerian angles
- 83. Motion of the spinning top
- 84. Steady precession of a top
- Examples $\text {IV}$
- chapter $\text {V}$ Generalised Coordinates
- 85. Holonomic systems
- 86. Lagrange's equations for a holonomic system
- 87. Lagrange's equations for impulsive forces
- 88. The Lagrangian function
- 89. Ignorable coordinates
- 90. Theory of small vibrations
- 91. Normal modes
- 92. Normal coordinates
- 93. Particles on a taut string
- 94. Conditions for stable equilibrium
- 95. Hamilton's equations
- 96. Hamilton's principle
- 97. Hamilton's principal function
- Examples $\text {V}$
- Index
Further Editions
Source work progress
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