equation 28.8 eq:osc-pendulum-exact
open in the book ·
parts/03-classical-mechanics/11-oscillations-waves.tex:262
- part of a statement or proof
Rests on
No declared or derived dependency edges point away from this node yet.
Supports
- assumes experiment Galileo and Huygens: isochronism ¶
- depends_on example 32.21 The damped pendulum ¶
- depends_on phenomenon 28.65 The period of a pendulum grows with its amplitude ¶
- depends_on proposition 34.10 An elliptical swing precesses on its own account ¶
- depends_on proposition 28.11 The physical pendulum and its centre of oscillation ¶
-
depends_on
proposition 28.12
Huygens' cycloidal pendulum is exactly
isochronous
¶
- depends_on phenomenon 34.2 Exact isochronism on a cycloid ¶
Neighborhood
Every logical edge within two steps of this node.
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
assumes |
← | Galileo and Huygens: isochronism | declared | parts/03-classical-mechanics/17-exp-pendulum.tex:64 |
depends_on |
← | The damped pendulum | declared | parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:509 |
depends_on |
← | The period of a pendulum grows with its amplitude | declared | parts/03-classical-mechanics/11-oscillations-waves.tex:2385 |
depends_on |
← | An elliptical swing precesses on its own account | declared | parts/03-classical-mechanics/17-exp-pendulum.tex:1270 |
depends_on |
← | The physical pendulum and its centre of oscillation | declared | parts/03-classical-mechanics/11-oscillations-waves.tex:318 |
depends_on |
← | Huygens' cycloidal pendulum is exactly isochronous | declared | parts/03-classical-mechanics/11-oscillations-waves.tex:354 |