Supercritical bifurcation of a spinning hoop - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue American Journal of Physics Année : 2003

Supercritical bifurcation of a spinning hoop

Résumé

The motion of a hoop hung on a spinning string provides an illustrative and pedagogical example of a supercritical bifurcation. Above a certain angular velocity threshold Ωc, the hoop rises and spins about its symmetry axis. The equation of motion is derived in the limit of a long massless string, and the calculated steady states are compared to experimental measurements. This simple experiment is suitable for classroom demonstration, and provides an interesting alternative to the classical experiment of a bead sliding on a rotating hoop.
Fichier principal
Vignette du fichier
0211079.pdf (165.39 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04353091 , version 1 (19-12-2023)

Identifiants

Citer

Frederic Moisy. Supercritical bifurcation of a spinning hoop. American Journal of Physics, 2003, 71 (10), pp.999-1004. ⟨10.1119/1.1582191⟩. ⟨hal-04353091⟩
20 Consultations
8 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More