dorsal/arxiv
View SchemaThe falling chain of Hopkins, Tait, Steele and Cayley
| Authors | Chun Wa Wong, Seo Ho Youn, Kosuke Yasui |
|---|---|
| Categories | |
| ArXiv ID | physics/0612250 |
| URL | https://arxiv.org/abs/physics/0612250 |
| DOI | 10.1088/0143-0807/28/3/001 |
| Journal | Eur. J. Phys. 28 (2007) 385-400 |
Abstract
A uniform, flexible and frictionless chain falling link by link from a heap by the edge of a table falls with an acceleration $g/3$ if the motion is nonconservative, but $g/2$ if the motion is conservative, $g$ being the acceleration due to gravity. Unable to construct such a falling chain, we use instead higher-dimensional versions of it. A home camcorder is used to measure the fall of a three-dimensional version called an $xyz$-slider. After frictional effects are corrected for, its vertical falling acceleration is found to be $a_x/g = 0.328 \pm 0.004$. This result agrees with the theoretical value of $a_x/g = 1/3$ for an ideal energy-conserving $xyz$-slider.
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"abstract": "A uniform, flexible and frictionless chain falling link by link from a heap\nby the edge of a table falls with an acceleration $g/3$ if the motion is\nnonconservative, but $g/2$ if the motion is conservative, $g$ being the\nacceleration due to gravity. Unable to construct such a falling chain, we use\ninstead higher-dimensional versions of it. A home camcorder is used to measure\nthe fall of a three-dimensional version called an $xyz$-slider. After\nfrictional effects are corrected for, its vertical falling acceleration is\nfound to be $a_x/g = 0.328 \\pm 0.004$. This result agrees with the theoretical\nvalue of $a_x/g = 1/3$ for an ideal energy-conserving $xyz$-slider.",
"arxiv_id": "physics/0612250",
"authors": [
"Chun Wa Wong",
"Seo Ho Youn",
"Kosuke Yasui"
],
"categories": [
"physics.class-ph",
"physics.hist-ph"
],
"doi": "10.1088/0143-0807/28/3/001",
"journal_ref": "Eur. J. Phys. 28 (2007) 385-400",
"title": "The falling chain of Hopkins, Tait, Steele and Cayley",
"url": "https://arxiv.org/abs/physics/0612250"
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