A thin plate moves between two parallel, horizontal, stationary flat surfaces at a constant velocity of 5 m/s. The two stationary surfaces are spaced 4 cm apart, and the medium between them is filled with oil whose viscosity is 0.9 N-s/m2. The part of the plate immersed in oil at any given time is 2 m long and 0.5 m wide. If the viscosity of the oil above the moving plate is four times that of the oil below the plate, determine the distance of the plate from the bottom surface (2) that will minimize the force needed to pull the plate between the two oils at constant velocity. Stationary surface h₂ Stationary surface The distance of the plate from the bottom surface (2) that will minimize the force needed to pull the plate between the two oils at constant velocity is [ cm.

A thin plate moves between two parallel, horizontal, stationary flat surfaces at a constant velocity of 5 m/s. The two stationary surfaces are spaced 4 cm apart, and the medium between them is filled with oil whose viscosity is 0.9 N-s/m2. The part of the plate immersed in oil at any given time is 2 m long and 0.5 m wide. If the viscosity of the oil above the moving plate is four times that of the oil below the plate, determine the distance of the plate from the bottom surface (2) that will minimize the force needed to pull the plate between the two oils at constant velocity. Stationary surface h₂ Stationary surface The distance of the plate from the bottom surface (2) that will minimize the force needed to pull the plate between the two oils at constant velocity is [ cm.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

A thin plate moves between two parallel, horizontal, stationary flat surfaces at a constant velocity of 5 m/s. The two stationary surfaces
are spaced 4 cm apart, and the medium between them is filled with oil whose viscosity is 0.9 N-s/m2. The part of the plate immersed in
oil at any given time is 2 m long and 0.5 m wide. If the viscosity of the oil above the moving plate is four times that of the oil below
the plate, determine the distance of the plate from the bottom surface (2) that will minimize the force needed to pull the
plate between the two oils at constant velocity.
h₁
h₂
Stationary surface
Stationary surface
F
The distance of the plate from the bottom surface (2) that will minimize the force needed to pull the plate between the two oils at
constant velocity is
cm.

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