Elementary Physics, Mechanics, and Acoustics

This appendix derives some basic results from the field of physics, particularly mechanics and acoustics, which are referenced elsewhere in this book.

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Subsections

• Newton's Laws of Motion
  • Newton's Three Laws of Motion
  • Mass
  • Gravitational Force
  • Hooke's Law
  • Applying Newton's Laws of Motion
  
  
• Work and Energy
  • Potential Energy in a Spring
  • Kinetic Energy of a Mass
  • Energy in the Mass-Spring Oscillator
  • Energy Conservation
  • Energy Conservation by Newton's Second Law
  
  
• Momentum
  • Conservation of Momentum
  
  
• Properties of Elastic Solids
  • Young's Modulus
    • Young's Modulus as a Spring Constant
  • String Tension
  • Mass Moment of Inertia
    • Circular Disk
    • Parallel Axis Theorem
  • Area Moment of Inertia
  • Radius of Gyration
    • Rectangular Cross-Section
    • Circular Cross-Section
  
  
• Properties of Gases
  • Particle Velocity of a Gas
  • Volume Velocity of a Gas
  • Pressure is Confined Kinetic Energy
  • Plane Waves in Air
  • Vector Wavenumber
  • Bernoulli Equation
  • Bernoulli Effect
  • Air Jets
  • Acoustic Intensity
  • Acoustic Energy Density
  • Energy Decay through Lossy Boundaries
  • Speed of Sound in Air
  • Air Absorption
  
  
• Problems

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written by Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.