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