In-situ observation of catenoid formed by soap film: Dynamical behavior of catenoid
نویسنده
چکیده
Catenoid is the equilibrium shape formed between two coaxial circular rings. Mathematically the catenoid is a kind of the minimal surfaces. The catenoid is made by using soap film and we performed in-situ observation of catenoid by varying distance between two rings. It is shown that the shape of soap film does interesting behavior. The behavior can be explained from the point of view of the dynamical mechanics. We can study the dynamics and the differential geometry through the observation of the dynamical behavior of catenoid. We propose that the insitu observation of catenoid is adequate for the physics education which combined experiment and theory. ∗[email protected]
منابع مشابه
In-situ observation of catenoid formed by soap film: as simple experiment for physics student
The solution to the Euler-Lagrange equation is extremal functional. In order to understand that the functional is stationary at local extrema (maxima or minima), we propose the physics experiment of catenoid formed by soap film. Catenoid is formed between two coaxial circular rings. Mathematically the catenoid is a kind of the minimal surfaces. Using soap film, the catenoid is made between two ...
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