Located in two locations on the funnel is a 2 X 5 inch plaque with a brief scientific explanation so people can learn while enjoying the funnel, it reads: “The funnel is a working model of the solar system and displays Kepler’s “laws of planetary motion”. This law applies to any orbiting body, including satellites orbiting the earth. The center hole represents the sun and a coin rolling represents a planet in motion. Gravitational pull is represented by the downward curve of the surface. The steeper the curve, the greater the pull on the coin, as it gets closer to the center. As the coin circles and descends, its energy of position is replaced by energy of motion. This is why a planet orbits at greater speeds as it nears the sun and slows down when it moves further away”.
Located on this same plaque is an enticing question for all participants, which reads: Which Rolls Faster Quarters, Nickels, Dimes or Pennies?
IN Volume IV., No. 5 of the Physical Review I described an experiment for illustrating orbital motion by projectinga steel bicycle ball over a glass plate, perforated by the pole-piece of a large electro-magnet.Several criticisms appeared in Nature and elsewhere, claiming that, under the conditions, the attractive force would vary not as the inverse square, but as the inverse fifth power of the distance. The authors of these notes appear to have overlooked the fact that the ball does not move in along a line of force, being urged towards thecenter by the horizontal component only, the vertical producing pressure on the plate. If the plate is over the magnetic pole this component becomes zero at the center instead of 00, which would of course be the value in an hypothetical case
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А как можно вообще в произвольной воронке сделать некруговую кеплерову орбиту? Она же должна быть плоской, значит, воронка должна быть конусом. В конусе будет по эллипсу двигаться? Есть сильные сомнения
Речь идет об одной радиальной составляющей, т.е. о виде сверху. В плоскости понятно, что такое аращение неаозможно т.к. момент мохраняется только вдоль оси воронки по симметрии задачи. В статье есть уравнение движения для произвольной формы. Страннвм образом, существует аналитическое решение, но не для 1/r воронки, а 1/r2.
Comments 8
А не-монеток?
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Located in two locations on the funnel is a 2 X 5 inch plaque with a brief scientific explanation so people can learn while enjoying the funnel, it reads: “The funnel is a working model of the solar system and displays Kepler’s “laws of planetary motion”. This law applies to any orbiting body, including satellites orbiting the earth. The center hole represents the sun and a coin rolling represents a planet in motion. Gravitational pull is represented by the downward curve of the surface. The steeper the curve, the greater the pull on the coin, as it gets closer to the center. As the coin circles and descends, its energy of position is replaced by energy of motion. This is why a planet orbits at greater speeds as it nears the sun and slows down when it moves further away”.
Located on this same plaque is an enticing question for all participants, which reads: Which Rolls Faster Quarters, Nickels, Dimes or Pennies?
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PS. Из (8) следует, что нет
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