Vibrations and Waves by George King

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Vibrations and Waves by George King

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Contents of Vibrations and Waves PDF

  • SIMPLE HARMONIC MOTION
  • Physical Characteristics of Simple Harmonic Oscillators
  • A Mass on a Spring
  • A mass on a horizontal spring
  • A mass on a vertical spring
  • Displacement, velocity and acceleration in simple
  • harmonic motion
  • General solutions for simple harmonic motion and the
  • phase angle φ
  • The energy of a simple harmonic oscillator
  • The physics of small vibrations
  • The Pendulum
  • The simple pendulum
  • The energy of a simple pendulum
  • The physical pendulum
  • Numerical solution of simple harmonic motion
  • Oscillations in Electrical Circuits: Similarities in Physics
  • The LC circuit
  • Similarities in physics
  • PROBLEMS
  • THE DAMPED HARMONIC OSCILLATOR
  • Physical Characteristics of the Damped Harmonic Oscillator
  • The Equation of Motion for a Damped Harmonic Oscillator
  • Light damping
  • Heavy damping
  • Critical damping
  • Rate of Energy Loss in a Damped Harmonic Oscillator
  • The quality factor Q of a damped harmonic oscillator
  • Damped Electrical Oscillations
  • PROBLEMS
  • FORCED OSCILLATIONS
  • Physical Characteristics of Forced Harmonic Motion
  • The Equation of Motion of a Forced Harmonic Oscillator
  • Undamped forced oscillations
  • Forced oscillations with damping
  • Power Absorbed During Forced Oscillations
  • Resonance in Electrical Circuits
  • Transient Phenomena
  • The Complex Representation of Oscillatory Motion
  • Complex numbers
  • The use of complex numbers to represent physical
  • quantities
  • Use of the complex representation for forced oscillations
  • with damping
  • PROBLEMS
  • COUPLED OSCILLATORS
  • Physical Characteristics of Coupled Oscillators
  • Normal Modes of Oscillation
  • Superposition of Normal Modes
  • Oscillating Masses Coupled by Springs
  • Forced Oscillations of Coupled Oscillators
  • Transverse Oscillations
  • PROBLEMS
  • TRAVELLING WAVES
  • Physical Characteristics of Waves
  • Travelling Waves
  • Travelling sinusoidal waves
  • The Wave Equation
  • The Equation of a Vibrating String
  • The Energy in a Wave
  • The Transport of Energy by a Wave
  • Waves at Discontinuities
  • Waves in Two and Three Dimensions
  • Waves of circular or spherical symmetry
  • PROBLEMS
  • STANDING WAVES
  • Standing Waves on a String
  • Standing Waves as the Superposition of Two Travelling Waves
  • The Energy in a Standing Wave
  • Standing Waves as Normal Modes of a Vibrating String
  • The superposition principle
  • The superposition of normal modes
  • The amplitudes of normal modes and Fourier analysis
  • The energy of vibration of a string
  • PROBLEMS
  • INTERFERENCE AND DIFFRACTION OF WAVES
  • Interference and Huygen’s Principle
  • Young’s double-slit experiment
  • Michelson spectral interferometer
  • Diffraction
  • Diffraction at a single slit
  • Circular apertures and angular resolving power
  • Double slits of finite width
  • PROBLEMS
  • THE DISPERSION OF WAVES
  • The Superposition of Waves in Non-Dispersive Media
  • Beats
  • Amplitude modulation of a radio wave
  • The Dispersion of Waves
  • Phase and group velocities
  • The Dispersion Relation
  • Wave Packets
  • Formation of a wave packet
  • PROBLEMS

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