The falling chain of Hopkins, Tait, Steele and Cayley

Details The falling chain of Hopkins, Tait, Steele and Cayley The falling chain of Hopkins, Tait, Steele and Cayley

2006-12-29

arxiv.org/abs/physics/0612250v1

Eur. J. Phys. 28 (2007) 385-400

Physics

Classical Physics

17 pages, 5 figures

Scientific paper

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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