Book:D.E. Rutherford/Classical Mechanics/Third Edition

Subject Matter

 * Classical Mechanics

Contents





 * $\text {I}$ 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 $\text {I}$


 * $\text {II}$ 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 $\text {II}$


 * $\text {III}$ 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 $\text {III}$


 * $\text {IV}$ 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 $\text {IV}$


 * $\text {V}$ 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 $\text {V}$





Source work progress
* : Chapter $\text I$: Kinematics: $1$. Space and Time