This problem involves a cylinder falling inside a pipe that is filled with oil, as depicted in the figure. The small space between the cylinder and the pipe is lubricated with an oil film that has viscosity . Derive a formula for the steady rate of descent of a cylinder with weight W, diameter d, and length  sliding inside a vertical smooth pipe that has inside diameter D. Assume that the cylinder is concentric with the pipe as it falls. Use the general formula to find the rate of descent of a cylinder 100 mm in diameter that slides inside a 100.5 mm pipe. The cylinder is 200 mm long and weighs 15 N. The lubricant is SAE 20W oil at 10°C.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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This problem involves a cylinder falling inside a pipe that
is filled with oil, as depicted in the figure. The small space between
the cylinder and the pipe is lubricated with an oil film that
has viscosity . Derive a formula for the steady rate of descent
of a cylinder with weight W, diameter d, and length  sliding inside
a vertical smooth pipe that has inside diameter D. Assume
that the cylinder is concentric with the pipe as it falls. Use the
general formula to find the rate of descent of a cylinder 100
mm in diameter that slides inside a 100.5 mm pipe. The cylinder
is 200 mm long and weighs 15 N. The lubricant is SAE
20W oil at 10°C.

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