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    Vibrations and Waves

    AvGeorge C. King

    Häftad, Engelska, 2025

    Del i serien Manchester Physics Series

    662 kr

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    Häftad

    Tillf. slut

    Beskrivning

    Accessible, student-friendly textbook on a core subject in undergraduate physics courses, updated with more worked examples, exercises, and everyday problemsEmphasizing physical principles rather than mathematics, Vibrations and Waves, 2nd edition delivers a comprehensive and logical overview of the subject. Each topic begins with a discussion of the physical characteristics of the motion or system. The mathematics is kept as clear as possible and includes elegant mathematical descriptions where appropriate.This book features many worked examples, frequently drawn from everyday life (e.g., why microwave ovens typically have rotating turntables), along with more cutting-edge ones. Each chapter includes problems ranging in difficulty from simple to challenging and provides hints for solving problems. This new edition has been updated with even more worked examples, exercises, and relations to everyday problems.Vibrations and Waves discusses sample topics including: Simple harmonic motion, covering displacement, velocity, acceleration, and the physics of small vibrationsThe damped harmonic oscillator, covering light, leavy, and critical damping in its equation of motionTraveling waves, covering the transport of energy by a wave, waves at discontinuities, and waves in two and three dimensionsThe dispersion of waves, covering phase and group velocities and the superposition of waves in non-dispersive mediaInterference and diffraction of waves, covering Young’s double-slit experiment and the Michelonson spectral interferometerVibrations and Waves is an essential textbook for all readers learning about waves and vibrations for the first time, either on their own or through an undergraduate or advanced undergraduate course.

    Produktinformation

    • Utgivningsdatum:2025-12-25
    • Mått:168 x 244 x 18 mm
    • Vikt:476 g
    • Format:Häftad
    • Språk:Engelska
    • Serie:Manchester Physics Series
    • Antal sidor:256
    • Upplaga:2
    • Förlag:John Wiley & Sons Inc
    • ISBN:9781394249237

    Utforska kategorier

    • Klassisk mekanik inom Naturvetenskap och teknik
    • Fysik inom Naturvetenskap och teknik
    • Elektronik och kommunikationer inom Naturvetenskap och teknik

    Mer om författaren

    George C. King is Emeritus Professor of Physics in the School of Physics & Astronomy at the University of Manchester, UK, and Fellow of the Institute of Physics. His research interests are the study of atoms and molecules using synchrotron radiation and electron impact excitation, and he is the author of over 200 published papers describing these studies. He has over 40 years teaching experience that includes lecturing a wide range of undergraduate and postgraduate courses.

    Innehållsförteckning

    • About the Author ixEditors’ Preface to the Manchester Physics Series xPreface to First Edition xiPreface to Second Edition xiiiAbout the Companion Website xiv1 Simple Harmonic Motion 11.1 Physical Characteristics of Simple Harmonic Oscillators 11.2 A Mass on a Spring 21.2.1 A Mass on a Horizontal Spring 21.2.2 A Mass on a Vertical Spring 41.2.3 Displacement, Velocity and Acceleration in SHM 51.2.4 General Solutions for SHM and the Phase Angle φ 71.2.5 The Energy of a Simple Harmonic Oscillator 91.2.6 The Physics of Small Vibrations 111.3 The Pendulum 161.3.1 The Simple Pendulum 161.3.2 The Energy of a Simple Pendulum 181.3.3 The Physical Pendulum 211.3.4 Numerical Solution of SHM 231.4 Oscillations in Electrical Circuits: Similarities in Physics 261.4.1 The LC Circuit 261.4.2 Similarities in Physics 27Problems 1 292 The Damped Harmonic Oscillator 352.1 Physical Characteristics of Damped Harmonic Oscillators 352.2 The Equation of Motion for a Damped Harmonic Oscillator 362.2.1 Light Damping 372.2.2 Heavy Damping 402.2.3 Critical Damping 402.3 Rate of Energy Loss in a Damped Harmonic Oscillator 432.3.1 The Quality Factor Q of a Damped Harmonic Oscillator 442.4 Damped Electrical Oscillations 47Problems 2 493 Forced Oscillations 533.1 Physical Characteristics of Forced Harmonic Motion 543.2 The Equation of Motion of a Forced Harmonic Oscillator 543.2.1 Undamped Forced Oscillations 543.2.2 Forced Oscillations with Damping 573.3 Power Absorbed During Forced Oscillations 633.4 Resonance in Electrical Circuits 683.5 Transient Phenomena 703.6 The Complex Representation of Oscillatory Motion 723.6.1 Complex Numbers 723.6.2 The Use of Complex Numbers to Represent Physical Quantities 753.6.3 Use of the Complex Representation for Forced Oscillations with Damping 76Problems 3 784 Coupled Oscillators 854.1 Physical Characteristics of Coupled Oscillators 854.2 Normal Modes of Oscillation 864.3 Superposition of Normal Modes 894.4 Oscillating Masses Coupled by Springs 934.5 Forced Oscillations of Coupled Oscillators 1014.6 Transverse Oscillations 104Problems 4 1085 Travelling Waves 1155.1 Physical Characteristics of Waves 1165.2 Travelling Waves 1165.2.1 Travelling Sinusoidal Waves 1195.3 The Wave Equation 1225.4 The Equation of a Vibrating String 1245.5 The Energy in a Wave 1265.6 The Transport of Energy by a Wave 1295.7 Waves at Discontinuities 1305.8 Waves in Two and Three Dimensions 1345.8.1 Waves of Circular or Spherical Symmetry 138Problems 5 1416 Standing Waves 1476.1 Standing Waves on a String 1476.2 Standing Waves as the Superposition of Two Travelling Waves 1536.3 The Energy in a Standing Wave 1556.4 Standing Waves as Normal Modes of a Vibrating String 1576.4.1 The Superposition Principle 1576.4.2 The Superposition of Normal Modes 1586.4.3 The Amplitudes of Normal Modes and Fourier Analysis 1616.4.4 The Energy of Vibration of a String 163Problems 6 1657 Interference and Diffraction of Waves 1697.1 Interference and Huygens’ Principle 1697.1.1 Young’s Double-Slit Experiment 1727.1.2 Michelson Spectral Interferometer 1787.2 Diffraction 1807.2.1 Diffraction at a Single Slit 1817.2.2 Circular Apertures and Angular Resolving Power 1857.2.3 Double Slits of Finite Width 187Problems 7 1888 The Dispersion of Waves 1938.1 The Superposition of Waves in Non-Dispersive Media 1938.1.1 Beats 1948.1.2 Amplitude Modulation of a Radio Wave 1968.2 The Dispersion of Waves 1978.2.1 Phase and Group Velocities 1978.3 The Dispersion Relation 2018.4 Wave Packets 2048.4.1 Formation of a Wave Packet 205Problems 8 209Appendix: Solutions to Problems 215Index 237