Description

Book Synopsis
Originally published in 1926, this informative and detailed textbook is primarily aimed at university students studying applied mathematics for a science or engineering degree and contains a large number of useful examples to work though. Basic knowledge of elementary dynamics is assumed throughout, as is a working knowledge of differential and integral calculus.

Table of Contents
Preface; 1. Fundamental definitions and principles; 2. Motion in a straight line; 3. Uniplanar motion where the accelerations parallel to fixed axes are given; 4. Uniplanar motion referred to Polar coordinates; 5. Uniplanar motion where the acceleration is towards a fixed centre and varies as the inverse square of the distance; 6. Tangenital and normal accelerations; 7. Motion in a resisting medium; 8. Oscillatory motion; 9. Motion in three dimensions. Acceleration in terms of Polar coordinates; 10. The hodograph; 11. Moments and products of inertia; 12. D'Alembert's principle; 13. Motion about a fixed axis; 14. Motion in two dimensions. Finite forces; 15. Motion in two dimensions. Impulsive forces; 16. Instantaneous centre; 17. Conservation of linear and angular momentum; 18. Lagrange's equations in generalised coordinates; 19. Small oscillations; 20. Motion of a top; Miscellaneous examples I; Miscellaneous examples II; Appendix on differential equations.

An Elementary Treatise on the Dynamics of a

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    A Paperback by S. L. Loney

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      Book details

      Publisher Cambridge University Press
      Published 1/23/2017 12:02:00 AM
      ISBN-13 9781316633335
      978-1316633335
      ISBN-10 1316633330
      Also in:
      Differential calculus and equations

      Description

      Book Synopsis
      Originally published in 1926, this informative and detailed textbook is primarily aimed at university students studying applied mathematics for a science or engineering degree and contains a large number of useful examples to work though. Basic knowledge of elementary dynamics is assumed throughout, as is a working knowledge of differential and integral calculus.

      Table of Contents
      Preface; 1. Fundamental definitions and principles; 2. Motion in a straight line; 3. Uniplanar motion where the accelerations parallel to fixed axes are given; 4. Uniplanar motion referred to Polar coordinates; 5. Uniplanar motion where the acceleration is towards a fixed centre and varies as the inverse square of the distance; 6. Tangenital and normal accelerations; 7. Motion in a resisting medium; 8. Oscillatory motion; 9. Motion in three dimensions. Acceleration in terms of Polar coordinates; 10. The hodograph; 11. Moments and products of inertia; 12. D'Alembert's principle; 13. Motion about a fixed axis; 14. Motion in two dimensions. Finite forces; 15. Motion in two dimensions. Impulsive forces; 16. Instantaneous centre; 17. Conservation of linear and angular momentum; 18. Lagrange's equations in generalised coordinates; 19. Small oscillations; 20. Motion of a top; Miscellaneous examples I; Miscellaneous examples II; Appendix on differential equations.

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