Supercritical bifurcation of a hula hoop

Details Supercritical bifurcation of a hula hoop Supercritical bifurcation of a hula hoop

2002-11-18

arxiv.org/abs/physics/0211079v1

Am. J. Phys.71 (10), 999-1004 (2003).

Physics

Classical Physics

subm. to Am. J. Phys. (7 figs)

Scientific paper

10.1119/1.1582191

The motion of a hoop hung on a spinning wire provides an illustrative and pedagogical example of a supercritical bifurcation. Above a certain angular velocity threshold Omega_c, the hoop rises, making an angle theta = (Omega-Omega_c)^(1/2) with the vertical. The equation of motion is derived in the limit of a long massless wire, 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 the bead sliding on a rotation hoop.

Affiliated with

Also associated with

No associations

Rating

Supercritical bifurcation of a hula hoop does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Supercritical bifurcation of a hula hoop, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Supercritical bifurcation of a hula hoop will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-509086