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Pendulum A Case Study in Physics

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ISBN-10: 0199557683

ISBN-13: 9780199557684

Edition: 5th 2008

Authors: Gregory L. Baker, James A. Blackburn

List price: $59.00
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The pendulum: a case study in physics is a unique book in several ways. Firstly, it is a comprehensive quantitative study of one physical system, the pendulum, from the viewpoint of elementary and more advanced classical physics, modern chaotic dynamics, and quantum mechanics. In addition, coupled pendulums and pendulum analogs of superconducting devices are also discussed. Secondly, this book treats the physics of the pendulum within a historical and cultural context, showing, for example, that the pendulum has been intimately connected with studies of the earth's density, the earth's motion, and timekeeping. While primarily a physics book, the work provides significant added interest…    
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Book details

List price: $59.00
Edition: 5th
Copyright year: 2008
Publisher: Oxford University Press, Incorporated
Publication date: 1/27/2009
Binding: Paperback
Pages: 302
Size: 7.44" wide x 9.69" long x 0.61" tall
Weight: 1.210
Language: English

Pendulums somewhat simple
The beginning
The simple pendulum
Some analogs of the linearized pendulum
The spring
Resonant electrical circuit
The pendulum and the earth
The military pendulum
Compound pendulum
Kater's pendulum
Some connections
Pendulums less simple
O Botafumeiro
The linearized pendulum with complications
Energy loss-friction
Energy gain-forcing
Parametric forcing
The nonlinearized pendulum
Amplitude dependent period
Phase space revisited
An electronic "Pendulum"
Parametric forcing revisited
A pendulum of horror
The Foucault pendulum
What is a Foucault pendulum?
Frames of reference
Public physics
A quantitative approach
Starting the pendulum
A darker side
Toward a better Foucault pendulum
A final note
The torsion pendulum
Elasticity of the fiber
Statics and dynamics
Free oscillations without external forces
Free oscillations with external forces
Two historical achievements
Coulomb and the electrostatic force
Cavendish and the gravitational force
Scaling the apparatus
Modern applications
Ballistic galvanometer
Universal gravitational constant
Universality of free fall: Equivalence of gravitational and inertial mass
Viscosity measurements and granular media
The chaotic pendulum
Introduction and history
The dimensionless equation of motion
Geometric representations
Time series, phase portraits, and Poincare sections
Spectral analysis
Bifurcation diagrams
Characterization of chaos
Lyapunov exponents
Dynamics, Lyapunov exponents, and fractal dimension
Information and prediction
Inverting chaos
Coupled pendulums
Chaotic coupled pendulums
Two-state model (all or nothing)
Other models
Synchronization machine
Secure communication
Control of the chaotic pendulum
A final weirdness
The quantum pendulum
A little knowledge might be better than none
The linearized quantum pendulum
Where is the pendulum?-uncertainty
The nonlinear quantum pendulum
Mathieu equation
Microscopic pendulums
Ethane-almost free
Potassium hexachloroplatinate-almost never free
The macroscopic quantum pendulum and phase space
Superconductivity and the pendulum
The flux quantum
The Josephson effect
Josephson junctions and pendulums
Single junction: RSJC model
Single junction in a superconducting loop
Two junctions in a superconducting loop
Coupled josephson junctions
The pendulum clock
Clocks before the pendulum
Development of the pendulum clock
Galileo (1564-1642)
Huygens (1629-1695)
The seconds pendulum and the meter: An historical note
Temperature compensation
The most accurate pendulum clock ever made
Pendulum Q
Free pendulum
Some numbers from the real world
The inverted pendulum
The double pendulum
The cradle pendulum
The Longnow clock
The Blackburn pendulum