Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
801067 | Mechanics Research Communications | 2006 | 6 Pages |
Abstract
In the present note we study the motion of a particle under uniform gravity on a tilted smooth cone. We point out some integrable cases of that problem. In particular, we establish that motion on the cone with semi-vertical angle π/6 and one generator vertical is integrable. Moreover, we show that the swinging Atwood machine is equivalent to a special version of the motion on the tilted cone. This analogy makes it easier to analyze motion of SAM from a geometrical point of view.
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Mechanical Engineering
Authors
H.M. Yehia,