Book contents
- Frontmatter
- Contents
- Preface
- Chapter 1 INTRODUCTION TO THE MECHANICAL UNIVERSE (Program 1)
- Chapter 2 THE LAW OF FALLING BODIES (Program 2)
- Chapter 3 THE LANGUAGE OF NATURE: DERIVATIVES AND INTEGRALS
- Chapter 4 INERTIA
- Chapter 5 VECTORS
- Chapter 6 NEWTON'S LAWS AND EQUILIBRIUM
- Chapter 7 UNIVERSAL GRAVITATION AND CIRCULAR MOTION
- Chapter 8 FORCES
- Chapter 9 FORCES IN ACCELERATING REFERENCE FRAMES
- Chapter 10 ENERGY: CONSERVATION AND CONVERSION
- Chapter 11 THE CONSERVATION OF MOMENTUM
- Chapter 12 OSCILLATORY MOTION
- Chapter 13 ANGULAR MOMENTUM
- Chapter 14 ROTATIONAL DYNAMICS FOR RIGID BODIES
- Chapter 15 GYROSCOPES
- Chapter 16 KEPLER'S LAWS AND THE CONIC SECTIONS
- Chapter 17 SOLVING THE KEPLER PROBLEM
- Chapter 18 NAVIGATING IN SPACE
- Chapter 19 TEMPERATURE AND THE GAS LAWS
- Chapter 20 THE ENGINE OF NATURE
- Chapter 21 ENTROPY
- Chapter 22 THE QUEST FOR LOW TEMPERATURE
- Appendix A THE INTERNATIONAL SYSTEM OF UNITS
- Appendix B CONVERSION FACTORS
- Appendix C FORMULAS FROM ALGEBRA, GEOMETRY, AND TRIGONOMETRY
- Appendix D ASTRONOMICAL DATA
- Appendix E PHYSICAL CONSTANTS
- SELECTED BIBLIOGRAPHY
- Index
Chapter 15 - GYROSCOPES
Published online by Cambridge University Press: 05 August 2013
- Frontmatter
- Contents
- Preface
- Chapter 1 INTRODUCTION TO THE MECHANICAL UNIVERSE (Program 1)
- Chapter 2 THE LAW OF FALLING BODIES (Program 2)
- Chapter 3 THE LANGUAGE OF NATURE: DERIVATIVES AND INTEGRALS
- Chapter 4 INERTIA
- Chapter 5 VECTORS
- Chapter 6 NEWTON'S LAWS AND EQUILIBRIUM
- Chapter 7 UNIVERSAL GRAVITATION AND CIRCULAR MOTION
- Chapter 8 FORCES
- Chapter 9 FORCES IN ACCELERATING REFERENCE FRAMES
- Chapter 10 ENERGY: CONSERVATION AND CONVERSION
- Chapter 11 THE CONSERVATION OF MOMENTUM
- Chapter 12 OSCILLATORY MOTION
- Chapter 13 ANGULAR MOMENTUM
- Chapter 14 ROTATIONAL DYNAMICS FOR RIGID BODIES
- Chapter 15 GYROSCOPES
- Chapter 16 KEPLER'S LAWS AND THE CONIC SECTIONS
- Chapter 17 SOLVING THE KEPLER PROBLEM
- Chapter 18 NAVIGATING IN SPACE
- Chapter 19 TEMPERATURE AND THE GAS LAWS
- Chapter 20 THE ENGINE OF NATURE
- Chapter 21 ENTROPY
- Chapter 22 THE QUEST FOR LOW TEMPERATURE
- Appendix A THE INTERNATIONAL SYSTEM OF UNITS
- Appendix B CONVERSION FACTORS
- Appendix C FORMULAS FROM ALGEBRA, GEOMETRY, AND TRIGONOMETRY
- Appendix D ASTRONOMICAL DATA
- Appendix E PHYSICAL CONSTANTS
- SELECTED BIBLIOGRAPHY
- Index
Summary
To those who study the progress of exact science, the common spinning top is a symbol of the labours and the perplexities of men who had successfully threaded the mazes of planetary motions. The mathematicians of the last age, searching through nature for problems worthy of their analysis, found in this toy of their youth, ample occupation for their highest mathematical powers.
No illustration of astronomical precession can be devised more perfect than that presented by a properly balanced top, but yet the motion of rotation has intricacies far exceeding those of the theory of precession.
James Clerk Maxwell, “On a Dynamical Top” (1857)AN ANCIENT QUESTION
In ancient times, people much more familiar with the night sky than we are helped themselves memorize its configurations by seeing heroes and creatures in clusters of stars. These constellations were patterns formed by stars fastened to a great sphere which surrounded the earth and formed the boundary of the universe. This celestial globe rotated on an axis through the earth, causing the stars to move along circular paths across the sky.
Likewise the life-giving sun was fixed to its own sphere whose rotation made the sun seem to travel across the sky each day, rising in the east and setting in the west. But unlike the stars, the sun gradually changed its path each day, rising and setting more northerly in the summer and more southerly in the winter.
- Type
- Chapter
- Information
- The Mechanical UniverseMechanics and Heat, Advanced Edition, pp. 413 - 430Publisher: Cambridge University PressPrint publication year: 1986