PDF Free Download | Vibrations and Waves by George King
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
