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Part III ›
Oscillations and Mechanical Waves
Oscillations and Mechanical Waves
foundations results +16 more equations +42 more phenomena depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) notation 28.1: Symbols reused in this chapter 28.1 Symbols reused i… definition 28.3: Simple harmonic oscillator 28.3 Simple harmonic… definition 28.17: Damped oscillator 28.17 Damped oscillator definition 28.19: Logarithmic decrement and quality factor 28.19 Logarithmic decr… definition 28.25: Complex susceptibility 28.25 Complex suscepti… definition 28.32: The two quadratic forms 28.32 The two quadrati… definition 28.35: Normal coordinates 28.35 Normal coordinat… definition 28.58: Dispersion relation; phase and group velocity 28.58 Dispersion relat… definition 28.67: Duffing oscillator 28.67 Duffing oscillat… proposition 28.4: General solution and isochronism 28.4 General solution… proposition 28.5: Energy, and its equal sharing 28.5 Energy, and its… proposition 28.6: Phase-space area and the action variable 28.6 Phase-space area… proposition 28.11: The physical pendulum and its centre of
oscillation 28.11 The physical pen… proposition 28.12: Huygens' cycloidal pendulum is exactly
isochronous 28.12 Huygens' cycloid… proposition 28.18: The three regimes 28.18 The three regimes proposition 28.20: Q counts stored energy against energy lost 28.20 Q counts stored… proposition 28.21: Critical damping returns fastest 28.21 Critical damping… proposition 28.24: Impulse response of the damped oscillator 28.24 Impulse response… proposition 28.27: Three resonant frequencies, and only one of them
is exact 28.27 Three resonant f… proposition 28.31: The two modes of a pair of coupled pendulums 28.31 The two modes of… theorem 28.33: Normal modes 28.33 Normal modes proposition 28.36: Normal coordinates decouple the motion 28.36 Normal coordinat… equation 28.2: eq:osc-sho eq. (28.2) equation 28.3: eq:osc-lagrangian eq. (28.3) equation 28.4: eq:osc-solution eq. (28.4) equation 28.5: eq:osc-energy eq. (28.5) equation 28.6: eq:osc-action eq. (28.6) equation 28.7: eq:osc-pendulum-period eq. (28.7) equation 28.8: eq:osc-pendulum-exact eq. (28.8) equation 28.9: eq:osc-physical-pendulum eq. (28.9) equation 28.11: eq:osc-taylor eq. (28.11) equation 28.12: eq:osc-linearized eq. (28.12) equation 28.13: eq:osc-anharmonic-criterion eq. (28.13) equation 28.14: eq:osc-hcl-k eq. (28.14) equation 28.15: eq:osc-damped eq. (28.15) phenomenon 28.9: Isochronism of the small-amplitude pendulum 28.9 Isochronism of t… phenomenon 28.13: Universality of small oscillations 28.13 Universality of… phenomenon 28.23: Resonance 28.23 Resonance phenomenon 28.28: Parametric excitation at half the drive frequency 28.28 Parametric excit… phenomenon 28.30: Beats and the periodic exchange of energy 28.30 Beats and the pe… phenomenon 28.45: The harmonic series of a stretched string 28.45 The harmonic ser… phenomenon 28.50: The speed of sound in air 28.50 The speed of sou… phenomenon 28.53: Chladni's figures 28.53 Chladni's figures phenomenon 28.56: The acoustic Doppler shift is not symmetric 28.56 The acoustic Dop… phenomenon 28.59: Groups and crests travel at different speeds 28.59 Groups and crest… phenomenon 28.65: The period of a pendulum grows with its amplitude 28.65 The period of a… The chain of Oscillations and Mechanical Waves: 46 of 104 objects, read left to right from what the chapter assumes to what tests it. Solid lines are declared logical edges, dashed ones were inferred from the structure of the source. Click any node to open its own chain.