000 05963nam a22005415i 4500
001 978-94-007-1415-1
003 DE-He213
005 20140220083833.0
007 cr nn 008mamaa
008 110527s2011 ne | s |||| 0|eng d
020 _a9789400714151
_9978-94-007-1415-1
024 7 _a10.1007/978-94-007-1415-1
_2doi
050 4 _aTA349-359
072 7 _aTGMD
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aSCI041000
_2bisacsh
082 0 4 _a620.1
_223
100 1 _aPook, L.P.
_eauthor.
245 1 0 _aUnderstanding Pendulums
_h[electronic resource] :
_bA Brief Introduction /
_cby L.P. Pook.
264 1 _aDordrecht :
_bSpringer Netherlands,
_c2011.
300 _aXVI, 136 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aHistory of Mechanism and Machine Science,
_x1875-3442 ;
_v12
505 0 _aPreface --  Notation --  1 Introduction --  References --  2 Simple Pendulums --  2.1 Introduction --  2.2 Simple Harmonic Motion --  2.3 Analysis of a Simple Rod Pendulum --  2.3.1 Acceleration due to Gravity --  2.3.2 Accelerations of a Simple Rod Pendulum --  2.3.3 Potential and Kinetic Energy of a Simple Rod Pendulum --  2.3.4 Circular Error of a Simple Rod Pendulum --  2.3.5 Effect of the Earth’s Curvature --  2.4           Analysis of a Simple String Pendulum --  2.5 Spherical Rod Pendulum --  References --  3 Variations on Simple Pendulums --  3.1 Introduction --  3.2 Compound Pendulum --  3.3 Double Rod Pendulum --  3.4 Blackburn Pendulum --  3.5 Bifilar Pendulum --  3.6 Rotating Simple Rod Pendulum --  3.7 Quadrifilar Pendulum --  3.7.1 Dual String Pendulum --  3.8 Trapezium Pendulum --  3.8.1 Dual Rod Pendulum --  3.9 Double String Pendulum --  References --  4      Pendulum Clocks --  4.1 Introduction --  4.2 Pendulum Quality Q --  4.2.1 Damped Simple Harmonic Motion --  4.2.2 Definition of Q --  4.3 Buoyancy --  4.4 Suspensions and Modes of Oscillation --  4.4.1 Spring Suspensions --  4.4.2 Pivot Suspensions --  4.4.3 Knife Edge Suspensions --  4.5 Effects of Escapements --  4.6 Reduction of Effects of Circular Error --  References --  5 Driven Pendulums --  5.1 Introduction --  5.2 Random Process Theory --  5.2.1 Bandwidth --  5.3 Driven Damped Simple Harmonic Motion --  5.3.1 Periodic Driving --  5.3.2 Random Driving --  5.4 Horizontal Driving of Pendulums --  5.4.1 Periodic Driving --  5.4.2 Random Driving --  5.5 Occult Uses of Pendulums --  References --  6 Scientific Instruments --  6.1  Introduction --  6.2 Kater’s Pendulum --  6.3 Newton’s Cradle --  6.3.1 Modes of Oscillation --  6.3.2 Theoretical Analysis --  6.4 The Foucault Pendulum --  6.4.1 Essential Features --  6.4.2 Pumping --  6.4.3 Motions of the Bob --  6.5 Charpy Impact Testing Machine --  References --  7 Engineering --  7.1 Introduction --  7.2 Watt Steam Governor --  7.3 Cable Car --  7.4 Tension Leg Platform --  References --  8 Entertainment --  8.1 Introduction --  8.2 Child’s Swings --  8.2.1 Pumping of Child’s Swings --  8.3 Child’s Rocking Horse --  8.4 Pendulum Harmonographs --  8.5 Harmonograms and Pendulum Harmonographs --  8.5.1 Lissajous Figures --  8.5.2 Circular Harmony Curves --  8.5.3 Miscellaneous Harmonograms --  8.5.4 Some Practical Considerations --  References --  Index.
520 _aDespite their apparent simplicity, the behaviour of pendulums can be remarkably complicated. Historically, pendulums for specific purposes have been developed using a combination of simplified theory and trial and error. There do not appear to be any introductory books on pendulums, written at an intermediate level, and covering a wide range of topics. This book aims to fill the gap. It is written for readers with some background in elementary geometry, algebra, trigonometry and calculus. Historical information, where available and useful for the understanding of various types of pendulum and their applications, is included.   Perhaps the best known use of pendulums is as the basis of clocks in which a pendulum controls the rate at which the clock runs. Interest in theoretical and practical aspects of pendulums, as applied to clocks, goes back more than four centuries. The concept of simple pendulums, which are idealised versions of real pendulums is introduced. The application of pendulums to clocks is described, with detailed discussion of the effect of inevitable differences between real pendulums and simple pendulums. In a clock, the objective is to ensure that the pendulum controls the timekeeping. However, pendulums are sometimes driven, and how this affects their behaviour is described. Pendulums are sometimes used for occult purposes. It is possible to explain some apparently occult results by using modern pendulum theory. For example, why a ring suspended inside a wine glass, by a thread from a finger, eventually strikes the glass. Pendulums have a wide range of uses in scientific instruments, engineering, and entertainment. Some examples are given as case studies.  
650 0 _aEngineering.
650 0 _aScience
_xHistory.
650 0 _aMathematics.
650 0 _aPhysics.
650 0 _aScience (General).
650 0 _aMechanics, applied.
650 1 4 _aEngineering.
650 2 4 _aTheoretical and Applied Mechanics.
650 2 4 _aPhysics, general.
650 2 4 _aHistory of Science.
650 2 4 _aMathematics, general.
650 2 4 _aPopular Science, general.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9789400714144
830 0 _aHistory of Mechanism and Machine Science,
_x1875-3442 ;
_v12
856 4 0 _uhttp://dx.doi.org/10.1007/978-94-007-1415-1
912 _aZDB-2-ENG
999 _c109482
_d109482