George C. King

Vibrations and Waves (eBook, ePUB)

• Format: ePub

Produktbeschreibung

This introductory text emphasises physical principles, rather than the mathematics. 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 possible. Designed to provide a logical development of the subject, the book is divided into two sections, vibrations followed by waves. A particular feature is the inclusion of many examples, frequently drawn from everyday life, along with more cutting-edge ones. Each chapter includes problems ranging in difficulty from simple to challenging and includes hints for solving problems. Numerous worked examples included throughout the book.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: John Wiley & Sons
• Seitenzahl: 248
• Erscheinungstermin: 15. März 2013
• Englisch
• ISBN-13: 9781118681787
• Artikelnr.: 37756009

Autorenporträt

Professor George C. King, Department of Physics & Astronomy, University of Manchester, Manchester, UK.

Inhaltsangabe

Editors' Preface to the Manchester Physics Series. Author's Preface. 1
SIMPLE HARMONIC MOTION. 1.1 Physical Characteristics of Simple Harmonic
Oscillators. 1.2 A Mass on a Spring. 1.2.1 A mass on a horizontal spring.
1.2.2 A mass on a vertical spring. 1.2.3 Displacement, velocity and
acceleration in simple harmonic motion. 1.2.4 General solutions for simple
harmonic motion and the phase angle Æ. 1.2.5 The energy of a simple
harmonic oscillator. 1.2.6 The physics of small vibrations. 1.3 The
Pendulum. 1.3.1 The simple pendulum. 1.3.2 The energy of a simple pendulum.
1.3.3 The physical pendulum. 1.3.4 Numerical solution of simple harmonic
motion³. 1.4 Oscillations in Electrical Circuits: Similarities in Physics.
1.4.1 The LC circuit. 1.4.2 Similarities in physics. PROBLEMS 1. 2 THE
DAMPED HARMONIC OSCILLATOR. 2.1 Physical Characteristics of the Damped
Harmonic Oscillator. 2.2 The Equation of Motion for a Damped Harmonic
Oscillator. 2.2.1 Light damping. 2.2.2 Heavy damping. 2.2.3 Critical
damping. 2.3 Rate of Energy Loss in a Damped Harmonic Oscillator. 2.3.1 The
quality factor Q of a damped harmonic oscillator. 2.4 Damped Electrical
Oscillations. PROBLEMS 2. 3 FORCED OSCILLATIONS. 3.1 Physical
Characteristics of Forced Harmonic Motion. 3.2 The Equation of Motion of a
Forced Harmonic Oscillator. 3.2.1 Undamped forced oscillations. 3.2.2
Forced oscillations with damping. 3.3 Power Absorbed During Forced
Oscillations. 3.4 Resonance in Electrical Circuits. 3.5 Transient
Phenomena. 3.6 The Complex Representation of Oscillatory Motion. 3.6.1
Complex numbers. 3.6.2 The use of complex numbers to represent physical
quantities. 3.6.3 Use of the complex representation for forced oscillations
with damping. PROBLEMS 3. 4 COUPLED OSCILLATORS. 4.1 Physical
Characteristics of Coupled Oscillators. 4.2 Normal Modes of Oscillation.
4.3 Superposition of Normal Modes. 4.4 Oscillating Masses Coupled by
Springs. 4.5 Forced Oscillations of Coupled Oscillators. 4.6 Transverse
Oscillations. PROBLEMS 4. 5 TRAVELLING WAVES. 5.1 Physical Characteristics
of Waves. 5.2 Travelling Waves. 5.2.1 Travelling sinusoidal waves. 5.3 The
Wave Equation. 5.4 The Equation of a Vibrating String. 5.5 The Energy in a
Wave. 5.6 The Transport of Energy by a Wave. 5.7 Waves at Discontinuities.
5.8 Waves in Two and Three Dimensions. 5.8.1 Waves of circular or spherical
symmetry. PROBLEMS 5. 6 STANDING WAVES. 6.1 Standing Waves on a String. 6.2
Standing Waves as the Superposition of Two Travelling Waves. 6.3 The Energy
in a Standing Wave. 6.4 Standing Waves as Normal Modes of a Vibrating
String. 6.4.1 The superposition principle. 6.4.2 The superposition of
normal modes. 6.4.3 The amplitudes of normal modes and Fourier analysis.
6.4.4 The energy of vibration of a string. PROBLEMS 6. 7 INTERFERENCE AND
DIFFRACTION OF WAVES. 7.1 Interference and Huygen's Principle. 7.1.1
Young's double-slit experiment. 7.1.2 Michelson spectral interferometer.
7.2 Diffraction. 7.2.1 Diffraction at a single slit. 7.2.2 Circular
apertures and angular resolving power. 7.2.3 Double slits of finite width.
PROBLEMS 7. 8 THE DISPERSION OF WAVES. 8.1 The Superposition of Waves in
Non-Dispersive Media. 8.1.1 Beats. 8.1.2 Amplitude modulation of a radio
wave. 8.2 The Dispersion of Waves. 8.2.1 Phase and group velocities. 8.3
The Dispersion Relation. 8.4 Wave Packets. 8.4.1 Formation of a wave
packet. PROBLEMS 8. APPENDIX: SOLUTIONS TO PROBLEMS. Index.

Rezensionen

"The text concisely describes vibrations and waves through mathematical equations with an emphasis on their physical meaning." -- Outrider, January 2010