- Title Pages
- Preface
- Introduction
- Chapter 1 Better accuracy from simple pendulums
- Chapter 2 A short history of temperature compensation
- Chapter 3 Scaling the size of a pendulum
- Chapter 4 Finding a pendulum’s axis of rotation
- Chapter 5 Does a pendulum’s axis of rotation shift with amplitude?
- Chapter 6 Some practical properties of quartz
- Chapter 7 Putting Q in perspective
- Chapter 8 The Allan variance and the rms time error
- Chapter 9 Transient temperature effects in a pendulum
- Chapter 10 Transient response of a pendulum to temperature change
- Chapter 11 Dimensional stability of pendulum materials
- Chapter 12 Variations on a Riefler bob shape
- Chapter 13 Bob shape
- Chapter 14 Rate adjustment mechanisms
- Chapter 15 Spring suspensions for accurate pendulums
- Chapter 16 James’ suspension spring equations
- Chapter 17 Barometric compensation with a crossed spring suspension?
- Chapter 18 Solid one-piece suspension springs
- Chapter 19 Stable connections to a pendulum’s suspension spring
- Chapter 20 Stability of suspension spring materials
- Chapter 21 Pendulum rod materials
- Chapter 22 The heat treatment of invar
- Chapter 23 The instability of invar
- Chapter 24 Position sensitivity along the pendulum rod
- Chapter 25 Fasteners for quartz pendulum rods
- Chapter 26 Effect of the pendulum rod on Q
- Chapter 27 Correcting the pendulum’s air pressure error
- Chapter 28 Pendulum air movement: A failed experiment
- Chapter 29 Pendulum air movement: A second try
- Chapter 30 Time error due to air pressure variations
- Chapter 31 Effect of the clock case walls on a pendulum
- Chapter 32 An electronically driven pendulum
- Chapter 33 Sinusoidal drive of a pendulum
- Chapter 34 Photoelectronics for pendulums
- Chapter 35 Check your clock against WWV
- Chapter 36 Electronic correction for air pressure variations
- Conversion Table
- Index
Does a pendulum’s axis of rotation shift with amplitude?
Does a pendulum’s axis of rotation shift with amplitude?
- Chapter:
- (p.21) Chapter 5 Does a pendulum’s axis of rotation shift with amplitude?
- Source:
- Accurate Clock Pendulums
- Author(s):
Robert James Matthys
- Publisher:
- Oxford University Press
This chapter describes an experiment to determine whether a pendulum's axis of rotation moves when the swing amplitude is increased. This issue presupposes that the pendulum has a flat spring type of suspension. A flat suspension spring bends all along a section of its length, so there is no obvious reason to indicate that a pendulum's axis of rotation would remain fixed when the swing amplitude is increased. The axis of rotation is found by measuring the horizontal travel of two points on the pendulum rod, one point a little above the axis of rotation and the other a little below it. The axis of rotation does move downward slightly (down the suspension spring), as the pendulum's swing amplitude increases. This should make the pendulum speed up as the amplitude increases, but in reality a pendulum actually slows down with increasing amplitude.
Keywords: axis of rotation, pendulum, swing amplitude, suspension spring
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- Title Pages
- Preface
- Introduction
- Chapter 1 Better accuracy from simple pendulums
- Chapter 2 A short history of temperature compensation
- Chapter 3 Scaling the size of a pendulum
- Chapter 4 Finding a pendulum’s axis of rotation
- Chapter 5 Does a pendulum’s axis of rotation shift with amplitude?
- Chapter 6 Some practical properties of quartz
- Chapter 7 Putting Q in perspective
- Chapter 8 The Allan variance and the rms time error
- Chapter 9 Transient temperature effects in a pendulum
- Chapter 10 Transient response of a pendulum to temperature change
- Chapter 11 Dimensional stability of pendulum materials
- Chapter 12 Variations on a Riefler bob shape
- Chapter 13 Bob shape
- Chapter 14 Rate adjustment mechanisms
- Chapter 15 Spring suspensions for accurate pendulums
- Chapter 16 James’ suspension spring equations
- Chapter 17 Barometric compensation with a crossed spring suspension?
- Chapter 18 Solid one-piece suspension springs
- Chapter 19 Stable connections to a pendulum’s suspension spring
- Chapter 20 Stability of suspension spring materials
- Chapter 21 Pendulum rod materials
- Chapter 22 The heat treatment of invar
- Chapter 23 The instability of invar
- Chapter 24 Position sensitivity along the pendulum rod
- Chapter 25 Fasteners for quartz pendulum rods
- Chapter 26 Effect of the pendulum rod on Q
- Chapter 27 Correcting the pendulum’s air pressure error
- Chapter 28 Pendulum air movement: A failed experiment
- Chapter 29 Pendulum air movement: A second try
- Chapter 30 Time error due to air pressure variations
- Chapter 31 Effect of the clock case walls on a pendulum
- Chapter 32 An electronically driven pendulum
- Chapter 33 Sinusoidal drive of a pendulum
- Chapter 34 Photoelectronics for pendulums
- Chapter 35 Check your clock against WWV
- Chapter 36 Electronic correction for air pressure variations
- Conversion Table
- Index