# Ball Rolling without Slipping inside a Vertical Cylinder

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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