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The comfortable roller coaster-on the shape of tracks with a constant normal force
KTH, School of Engineering Sciences (SCI), Mechanics, Theoretical and Applied Mechanics.
KTH, School of Engineering Sciences (SCI), Mechanics, Theoretical and Applied Mechanics.
2010 (English)In: European journal of physics, ISSN 0143-0807, E-ISSN 1361-6404, Vol. 31, no 6, 1307-1317 p.Article in journal (Refereed) Published
Abstract [en]

A particle that moves along a smooth track in a vertical plane is influenced by two forces: gravity and normal force. The force experienced by roller coaster riders is the normal force, so a natural question to ask is, what shape of the track gives a normal force of constant magnitude? Here we solve this problem. It turns out that the solution is related to the Kepler problem; the trajectories in velocity space are conic sections.

Place, publisher, year, edition, pages
2010. Vol. 31, no 6, 1307-1317 p.
National Category
Mechanical Engineering
Identifiers
URN: urn:nbn:se:kth:diva-26241DOI: 10.1088/0143-0807/31/6/001ISI: 000283559000004Scopus ID: 2-s2.0-78649353432OAI: oai:DiVA.org:kth-26241DiVA: diva2:398656
Note
QC 20110218Available from: 2011-02-18 Created: 2010-11-21 Last updated: 2017-12-11Bibliographically approved

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