equation 28.2 eq:osc-sho

open in the book · parts/03-classical-mechanics/11-oscillations-waves.tex:91

part of a statement or proof

Rests on

No declared or derived dependency edges point away from this node yet.

Supports

assumes experiment Coulomb: the torsion pendulum ¶
depends_on definition 28.17 Damped oscillator ¶
depends_on example 28.8 A laboratory spring, in SI ¶
depends_on phenomenon 28.9 Isochronism of the small-amplitude pendulum ¶
- assumes experiment Kater: the reversible pendulum ¶
- tests experiment Galileo and Huygens: isochronism ¶
depends_on phenomenon 28.13 Universality of small oscillations ¶
depends_on proposition 28.4 General solution and isochronism ¶
- depends_on phenomenon 28.9 Isochronism of the small-amplitude pendulum ¶ ↺
depends_on proposition 28.54 The Helmholtz resonator ¶
depends_on proposition 28.11 The physical pendulum and its centre of oscillation ¶
depends_on proposition 28.71 Naive perturbation theory produces a secular term ¶
depends_on proposition 28.12 Huygens' cycloidal pendulum is exactly isochronous ¶
- depends_on phenomenon 34.2 Exact isochronism on a cycloid ¶
depends_on proposition 28.31 The two modes of a pair of coupled pendulums ¶

Neighborhood

Every logical edge within two steps of this node.

declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure

Edges

type	direction	node	provenance	where
`assumes`	←	Coulomb: the torsion pendulum	declared	parts/03-classical-mechanics/17-exp-pendulum.tex:326
`depends_on`	←	Damped oscillator	declared	parts/03-classical-mechanics/11-oscillations-waves.tex:517
`depends_on`	←	A laboratory spring, in SI	declared	parts/03-classical-mechanics/11-oscillations-waves.tex:219
`depends_on`	←	Isochronism of the small-amplitude pendulum	declared	parts/03-classical-mechanics/11-oscillations-waves.tex:252
`depends_on`	←	Universality of small oscillations	declared	parts/03-classical-mechanics/11-oscillations-waves.tex:406
`depends_on`	←	General solution and isochronism	declared	parts/03-classical-mechanics/11-oscillations-waves.tex:113
`depends_on`	←	The Helmholtz resonator	declared	parts/03-classical-mechanics/11-oscillations-waves.tex:1985
`depends_on`	←	The physical pendulum and its centre of oscillation	declared	parts/03-classical-mechanics/11-oscillations-waves.tex:318
`depends_on`	←	Naive perturbation theory produces a secular term	declared	parts/03-classical-mechanics/11-oscillations-waves.tex:2687
`depends_on`	←	Huygens' cycloidal pendulum is exactly isochronous	declared	parts/03-classical-mechanics/11-oscillations-waves.tex:354
`depends_on`	←	The two modes of a pair of coupled pendulums	declared	parts/03-classical-mechanics/11-oscillations-waves.tex:1027