Sphere rolling on the surface of a cone

Details Sphere rolling on the surface of a cone Sphere rolling on the surface of a cone

2006-02-23

arxiv.org/abs/physics/0602160v1

Physics

Classical Physics

12 pages, 2 figures, to be published in Eur J Phys

Scientific paper

10.1088/0143-0807/27/3/011

We analyse the motion of a sphere that rolls without slipping on a conical surface having its axis in the direction of the constant gravitational field of the Earth. This nonholonomic system admits a solution in terms of quadratures. We exhibit that the only circular of the system orbit is stable and furthermore show that all its solutions can be found using an analogy with central force problems. We also discuss the case of motion with no gravitational field, that is, of motion on a freely falling cone.

Affiliated with

Also associated with

No associations

Rating

Sphere rolling on the surface of a cone 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 Sphere rolling on the surface of a cone, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sphere rolling on the surface of a cone will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-711794