Problem 1: Shear stress A 15 mm diameter shaft is pulled through a cylindrical bearing as shown in the figure. A lubricant with kinematic viscosity equal to 2 × 10-3 m²/s and specific gravity 0.85 fills the 0.2 mm gap between the shaft and the bearing. Assume that the velocity inside the gap varies linearly between the moving shaft and the stationary bearing casing, and that the shear stress is proportional to the lubricant's dynamic viscosity and the slope of the velocity profile: 7 = V. Draw the free body diagram for forces acting on the shaft and determine the force, P, required to pull the shaft at a velocity of 2 m/s. Bearing Lubricant Shaft -0.5 m- Figure 1: The shaft moves at constant velocity of 2m/s.

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
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Problem 1: Shear stress
A 15 mm diameter shaft is pulled through a cylindrical bearing as shown in the figure. A lubricant
with kinematic viscosity equal to 2 × 10-3 m²/s and specific gravity 0.85 fills the 0.2 mm gap
between the shaft and the bearing. Assume that the velocity inside the gap varies linearly between
the moving shaft and the stationary bearing casing, and that the shear stress is proportional to the
lubricant's dynamic viscosity and the slope of the velocity profile: 7 = V. Draw the free body
diagram for forces acting on the shaft and determine the force, P, required to pull the shaft at a
velocity of 2 m/s.
Bearing
Lubricant
Shaft
-0.5 m-
Figure 1: The shaft moves at constant velocity of 2m/s.
Transcribed Image Text:Problem 1: Shear stress A 15 mm diameter shaft is pulled through a cylindrical bearing as shown in the figure. A lubricant with kinematic viscosity equal to 2 × 10-3 m²/s and specific gravity 0.85 fills the 0.2 mm gap between the shaft and the bearing. Assume that the velocity inside the gap varies linearly between the moving shaft and the stationary bearing casing, and that the shear stress is proportional to the lubricant's dynamic viscosity and the slope of the velocity profile: 7 = V. Draw the free body diagram for forces acting on the shaft and determine the force, P, required to pull the shaft at a velocity of 2 m/s. Bearing Lubricant Shaft -0.5 m- Figure 1: The shaft moves at constant velocity of 2m/s.
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