Seven Tales of the Pendulum.
Baker, Gregory L.
Seven Tales of the Pendulum. - 1st ed. - 1 online resource (246 pages)
Intro -- Contents -- Preface -- Acknowledgements -- List of Figures -- Part I: Introduction -- What is a Pendulum? -- I.1 Why the pendulum? -- I.2 The motion of the pendulum -- I.3 Picturing the motion -- Part II: Seven Tales of the Pendulum -- Tale 1: Pendulums Measure the Earth -- 1.1 Shape -- 1.2 Density -- 1.3 Rotation - the Foucault pendulum -- 1.4 Frames of reference -- 1.5 Foucault pendulums are tricky -- 1.6 Pendulums go public -- Tale 2: Pendulums Keep Time -- 2.1 Mechanical clocks pre-pendulum -- 2.2 The development of the pendulum clock -- 2.3 Time as a standard of length? -- 2.4 Escapements -- 2.5 Temperature compensation -- 2.6 Pendulum clocks into the twentieth century -- Tale 3: Pendulums Measure Fundamental Forces -- 3.1 The historical torsion pendulum -- 3.2 Modern torsion pendulums -- Tale 4: Pendulums Swing High -- 4.1 A religious pendulum -- 4.2 Yes, the period does depend on the amplitude -- 4.3 Phase space revisited -- 4.4 Parametric forcing -- 4.5 Pendulum of horror -- Tale 5: Pendulums Go Chaotic -- 5.1 Introduction and history -- 5.2 The chaotic pendulum -- 5.3 The geometry of chaos -- 5.4 Fractals -- 5.5 Information and prediction in chaos -- Tale 6: Pendulums Stick Together -- 6.1 Synchronized pendulums -- 6.2 Secure communication -- 6.3 Control of the chaotic pendulum -- 6.4 Large-scale synchronization -- Tale 7: Pendulums in the Small -- 7.1 Potential energy -- 7.2 A new physics -- 7.3 Two simplified quantum systems -- 7.4 The nonlinear quantum pendulum -- 7.5 Microscopic pendulums? -- 7.6 Does quantum physics partially wash out chaos? -- Part III: Conclusion -- Odds and the End -- C.1 The double pendulum -- C.2 The cradle pendulum -- C.3 The relativistic pendulum -- C.4 The Long Now clock -- C.5 Somefinal thoughts -- Further Reading -- Glossary of Terms -- A -- B -- C -- D -- E -- F -- G -- H -- I -- L -- M -- N -- P. Q -- R -- S -- T -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- Y.
The pendulum is a unique physical system which exhibits remarkably varied and complex behavior under many different conditions. Seven 'tales', detailing different important facets of the pendulum, show the exciting diversity of the science of the pendulum, and its untold significance in the history of human intellectual development.
9780191004841
Pendulum.
Gravity.
Rotational motion (Rigid dynamics).
Electronic books.
QA862.P4 .B354 2011
531/.324
Seven Tales of the Pendulum. - 1st ed. - 1 online resource (246 pages)
Intro -- Contents -- Preface -- Acknowledgements -- List of Figures -- Part I: Introduction -- What is a Pendulum? -- I.1 Why the pendulum? -- I.2 The motion of the pendulum -- I.3 Picturing the motion -- Part II: Seven Tales of the Pendulum -- Tale 1: Pendulums Measure the Earth -- 1.1 Shape -- 1.2 Density -- 1.3 Rotation - the Foucault pendulum -- 1.4 Frames of reference -- 1.5 Foucault pendulums are tricky -- 1.6 Pendulums go public -- Tale 2: Pendulums Keep Time -- 2.1 Mechanical clocks pre-pendulum -- 2.2 The development of the pendulum clock -- 2.3 Time as a standard of length? -- 2.4 Escapements -- 2.5 Temperature compensation -- 2.6 Pendulum clocks into the twentieth century -- Tale 3: Pendulums Measure Fundamental Forces -- 3.1 The historical torsion pendulum -- 3.2 Modern torsion pendulums -- Tale 4: Pendulums Swing High -- 4.1 A religious pendulum -- 4.2 Yes, the period does depend on the amplitude -- 4.3 Phase space revisited -- 4.4 Parametric forcing -- 4.5 Pendulum of horror -- Tale 5: Pendulums Go Chaotic -- 5.1 Introduction and history -- 5.2 The chaotic pendulum -- 5.3 The geometry of chaos -- 5.4 Fractals -- 5.5 Information and prediction in chaos -- Tale 6: Pendulums Stick Together -- 6.1 Synchronized pendulums -- 6.2 Secure communication -- 6.3 Control of the chaotic pendulum -- 6.4 Large-scale synchronization -- Tale 7: Pendulums in the Small -- 7.1 Potential energy -- 7.2 A new physics -- 7.3 Two simplified quantum systems -- 7.4 The nonlinear quantum pendulum -- 7.5 Microscopic pendulums? -- 7.6 Does quantum physics partially wash out chaos? -- Part III: Conclusion -- Odds and the End -- C.1 The double pendulum -- C.2 The cradle pendulum -- C.3 The relativistic pendulum -- C.4 The Long Now clock -- C.5 Somefinal thoughts -- Further Reading -- Glossary of Terms -- A -- B -- C -- D -- E -- F -- G -- H -- I -- L -- M -- N -- P. Q -- R -- S -- T -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- Y.
The pendulum is a unique physical system which exhibits remarkably varied and complex behavior under many different conditions. Seven 'tales', detailing different important facets of the pendulum, show the exciting diversity of the science of the pendulum, and its untold significance in the history of human intellectual development.
9780191004841
Pendulum.
Gravity.
Rotational motion (Rigid dynamics).
Electronic books.
QA862.P4 .B354 2011
531/.324