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Look Inside An Elementary Treatise on the Dynamics of a Particle and of Rigid Bodies

An Elementary Treatise on the Dynamics of a Particle and of Rigid Bodies

  • Date Published: February 2017
  • availability: Available
  • format: Paperback
  • isbn: 9781316633335

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  • 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. Answers can be found at the back of the book, as well as a summary of the methods of solution of the equations contained. Examples are mostly collected from a variety of past university and college examination papers, and notably rigid dynamics has been confined to two-dimensional motion and omissions have been made to all reference of moving axes. Covering the topic in its entirety, this book gives a panoramic overview of the subject and will be of considerable value to anyone with a keen interest in mathematics and engineering, as well as the history of education.

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    Product details

    • Date Published: February 2017
    • format: Paperback
    • isbn: 9781316633335
    • length: 394 pages
    • dimensions: 220 x 140 x 25 mm
    • weight: 0.53kg
    • availability: Available
  • 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.

  • Author

    S. L. Loney

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