Ball Rolling without Slipping inside a Vertical Cylinder
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
This Demonstration shows a rolling ball on the inside of a rough vertical cylinder.
Contributed by: Ferat Talat oglu (January 2010)
Open content licensed under CC BY-NC-SA
Snapshots
Details
"Suppose a sphere is started rolling on the inside of a rough vertical cylinder (gravity acting, but no dissipative forces); what happens? The only sensible guess is a spiral descent of increasing steepness; actually the sphere moves up and down between two fixed horizontal planes. Golfers are not so unlucky as they think." As quoted in J. E. Littlewood, "From the Mathematical Tripos," A Mathematician's Miscellany, London: Methuen and Company Limited, 1953 pp. 44–47.
Permanent Citation
"Ball Rolling without Slipping inside a Vertical Cylinder"
http://demonstrations.wolfram.com/BallRollingWithoutSlippingInsideAVerticalCylinder/
Wolfram Demonstrations Project
Published: January 6 2010