The lever in the image has a weight W at one end and is tied to a cylinder at the left end. The cylinder has negligible weight and buoyancy and slides upward through a film of heavy oil of viscosity u.
The lever in the image has a weight W at one end and is tied to a cylinder at the left end. The cylinder has negligible weight and buoyancy and slides upward through a film of heavy oil of viscosity u.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The lever in the image has a weight W at one end and is tied to a cylinder at the left end. The cylinder has negligible
weight and buoyancy and slides upward through a film of heavy oil of viscosity u.
L2
W
pivot
V2?
Cylinder, diameter D, length L,
in an oil film of thickness AR.
If there is no acceleration (uniform lever rotation), derive a formula for the rate of fall V2 of the weight. Neglect the lever weight.
Assume a linear velocity profile in the oil film. Estimate the fall velocity of the weight if W = 26 N, L1= 81 cm, L2 = 53 cm, D = 100 cm, L =
22 cm, AR = 1 mm, and the oil is glycerin at 20°C.
m/s
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