The comfortable roller coaster-on the shape of tracks with a constant normal force
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
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.
IdentifiersURN: urn:nbn:se:kth:diva-26241DOI: 10.1088/0143-0807/31/6/001ISI: 000283559000004ScopusID: 2-s2.0-78649353432OAI: oai:DiVA.org:kth-26241DiVA: diva2:398656
QC 201102182011-02-182010-11-212011-02-18Bibliographically approved