experiment Kater: the reversible pendulum

open in the book · parts/03-classical-mechanics/17-exp-pendulum.tex:792

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assumes phenomenon 28.9 Isochronism of the small-amplitude pendulum ¶
- depends_on equation 28.2 eq:osc-sho ¶
- depends_on proposition 28.4 General solution and isochronism ¶
  - depends_on equation 28.2 eq:osc-sho ¶ ↺
  - depends_on theorem 9.13 Dimension of the solution space ¶
    - depends_on corollary 9.9 Linear equations: existence on the whole interval ¶
      - depends_on definition 9.2 Linear equation; homogeneity ¶
      - depends_on remark 9.3 Normal form and first-order systems ¶
      - depends_on theorem 9.8 Picard–Lindelöf ¶
      - proves proof ch:07-odes-sturm-liouville@proof-3 ¶
    - depends_on definition 9.2 Linear equation; homogeneity ¶ ↺
    - proves proof ch:07-odes-sturm-liouville@proof-6 ¶
  - proves proof ch:11-oscillations-waves@proof-1 ¶
- proves proof ch:11-oscillations-waves@proof-4 ¶
tests equation 28.7 eq:osc-pendulum-period ¶
tests equation 28.9 eq:osc-physical-pendulum ¶

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type	direction	node	provenance	where
`assumes`	→	Isochronism of the small-amplitude pendulum	declared	parts/03-classical-mechanics/17-exp-pendulum.tex:794
`cites`	→	Horologium Oscillatorium sive de motu pendulorum ad horologia aptato demonstrationes geometricae	derived	parts/03-classical-mechanics/17-exp-pendulum.tex:1060
`cites`	→	Evaluation of Measurement Data --- Guide to the Expression of Uncertainty in Measurement	derived	parts/03-classical-mechanics/17-exp-pendulum.tex:858
`cites`	→	An Account of experiments for determining the length of the pendulum vibrating seconds in the latitude of London	derived	parts/03-classical-mechanics/17-exp-pendulum.tex:815
`cites`	→	An Account of experiments for determining the length of the pendulum vibrating seconds in the latitude of London	derived	parts/03-classical-mechanics/17-exp-pendulum.tex:841
`cites`	→	An Account of experiments for determining the length of the pendulum vibrating seconds in the latitude of London	derived	parts/03-classical-mechanics/17-exp-pendulum.tex:1059
`cites`	→	CODATA recommended values of the fundamental physical constants: 2022	derived	parts/03-classical-mechanics/17-exp-pendulum.tex:868
`cites`	→	A new generation of absolute gravimeters	derived	parts/03-classical-mechanics/17-exp-pendulum.tex:1052
`cites`	→	A new generation of absolute gravimeters	derived	parts/03-classical-mechanics/17-exp-pendulum.tex:1061
`cites`	→	On the Effect of the Internal Friction of Fluids on the Motion of Pendulums	derived	parts/03-classical-mechanics/17-exp-pendulum.tex:951
`cites`	→	An Introduction to Error Analysis: The Study of Uncertainties in Physical Measurements	derived	parts/03-classical-mechanics/17-exp-pendulum.tex:858
`tests`	→	eq:osc-pendulum-period	declared	parts/03-classical-mechanics/17-exp-pendulum.tex:793
`tests`	→	eq:osc-physical-pendulum	declared	parts/03-classical-mechanics/17-exp-pendulum.tex:793