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Mechanics

Author: W Chester
Publisher: London ; Boston : Allen & Unwin, 1979.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

How ever, the presentation is more sophisticated than might be considered appropri ate for someone with no previous knowledge of the subject so that, although it is developed from the beginning,  Read more...

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Document Type: Book
All Authors / Contributors: W Chester
ISBN: 0045100586 9780045100583 0045100594 9780045100590 0412439409 9780412439407 9789401095020 9401095027
OCLC Number: 6373934
Notes: Includes index.
Performer(s): ISBN 0-04-510059-4 Pbk : \7.50.
Description: xiii, 432 pages : illustrations ; 24 cm
Contents: 1. Vectors.- 1.1 Introduction.- 1.2 Definitions.- 1.3 The Rules of Vector Algebra.- 1.4 The Resolution of a Vector.- 1.5 The Products of Vectors.- 1.6 The Derivative of a Vector.- 1.7 The Integral of a Vector.- 1.8 Scalar and Vector Fields.- 1.9 Line Integrals.- 1.10 The Gradient Operator.- 1.11 Equipotentials and Field Lines.- Exercises.- 2. Kinematics.- 2.1 Introduction.- 2.2 Velocity and Acceleration.- 2.3 Constant Acceleration.- 2.4 Projectiles.- 2.5 Dimensions.- Exercises.- 3. Dynamics.- 3.1 Newton's Laws.- 3.2 Units.- 3.3 Applications.- Exercises.- 4. Resisting Forces.- 4.1 Solid Friction.- 4.2 Motion through a Fluid.- Exercises.- 5. Impulse, Momentum, Work and Energy.- 5.1 Impulse and Momentum.- 5.2 Work and Energy.- 5.3 Potential Energy.- 5.4 Power.- Exercises.- 6. Oscillations.- 6.1 Simple Harmonic Oscillations.- 6.2 Damped Oscillations.- 6.3 Forced Oscillations.- 6.4 Coupled Oscillations.- 6.5 Non-Linear Oscillations.- Exercises.- 7. Central Forces.- 7.1 Basic Equations.- 7.2 Conservative Forces.- 7.3 Circular Orbits and Stability.- 7.4 Elliptic Harmonic Motion.- 7.5 The Inverse Square Law.- 7.6 Kepler's Laws.- 7.7 The Effect of Resistance.- Exercises.- 8. Systems of Particles.- 8.1 Mass Centre.- 8.2 Equations of Motion.- 8.3 Collision Problems.- 8.4 Variable Mass Problems.- Exercises.- 9. Angular Vectors.- 9.1 Existence.- 9.2 Angular Velocity.- 9.3 Relative Angular Velocity.- 9.4 Rotating Axes.- 9.5 Axes on the Earth's Surface.- Exercises.- 10. Moments.- 10.1 First Moment.- 10.2 Second Moment.- 10.3 Vector Moment.- 10.4 Parallel Vectors.- 10.5 Reduction of a System of Line Vectors.- 10.6 Work of a System of Line Vectors.- Exercises.- 11. Rigid Bodies.- 11.1 Equations of Motion.- 11.2 Impulse and Momentum.- 11.3 Work and Energy.- 11.4 Oscillations.- 11.5 Three-Dimensional Problems.- 11.6 Gyroscopic Problems.- Exercises.- 12. Virtual Work and Lagrange's Equations.- 12.1 Virtual Work.- 12.2 Generalised Coordinates.- 12.3 Lagrange's Equations.- 12.4 The Lagrangian and Hamiltonian.- Exercises.- 13. Non-Linear Problems.- 13.1 Conservative Forces.- 13.2 Autonomous Forces.- 13.3 The Method of Averaging.- 13.4 Forced Non-Linear Oscillations.- Exercises.
Responsibility: W. Chester.

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