An experimental study of the brachistochrone
F M Phelps III; F M Phelps IV; B Zorn; J Gormley; F M Phelps III; Physics Dept., Central Michigan Univ., Mount Pleasant, MI, USA; F M Phelps IV; Physics Dept., Central Michigan Univ., Mount Pleasant, MI, USA; B Zorn; Physics Dept., Central Michigan Univ., Mount Pleasant, MI, USA; J Gormley; Physics Dept., Central Michigan Univ., Mount Pleasant, MI, USA
Журнал:
European Journal of Physics
Дата:
1982-01-01
Аннотация:
The authors have studied experimentally the brachistochrone by measuring the transit times of a 'Hot Wheels' car over several different paths connecting two points in a vertical plane. They used an electromagnetic release and a specially designed digital clock which has direct reading to 0.001 s. In each case tested, the average transit time had a standard deviation of the order of 0.001 s. Transit times for different paths differed by about 0.05-0.5 s. These data allowed them to distinguish one path from another and to separate experimentally the cyloid, which Newton found to be the extremising curve, from the other curves tested.
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