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 plate moves through the mid-plane between the surfaces, determine the force required to maintain this motion. What would your response be if the plate was 1 cm from the bottom surface (h₂) and 3 cm from the top surface (h1)? h₁ Stationary surface V = 5 m/s F

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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**HW: Problem 3:**

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 plate moves through the mid-plane between the surfaces, determine the force required to maintain this motion. What would your response be if the plate was 1 cm from the bottom surface (\(h_2\)) and 3 cm from the top surface (\(h_1\))?

**Diagram Explanation:**

The diagram depicts two stationary horizontal surfaces, with the thin plate moving between them. The plate's movement is indicated by an arrow showing a velocity of 5 m/s. There are two distances marked as \(h_1\) and \(h_2\), which represent the distances from the plate to the top and bottom stationary surfaces, respectively. The diagram illustrates a force \(F\) applied in the direction of motion to maintain the velocity of the plate. The oil between the surfaces is shown as the medium affecting the motion of the plate.
Transcribed Image Text:**HW: Problem 3:** 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 plate moves through the mid-plane between the surfaces, determine the force required to maintain this motion. What would your response be if the plate was 1 cm from the bottom surface (\(h_2\)) and 3 cm from the top surface (\(h_1\))? **Diagram Explanation:** The diagram depicts two stationary horizontal surfaces, with the thin plate moving between them. The plate's movement is indicated by an arrow showing a velocity of 5 m/s. There are two distances marked as \(h_1\) and \(h_2\), which represent the distances from the plate to the top and bottom stationary surfaces, respectively. The diagram illustrates a force \(F\) applied in the direction of motion to maintain the velocity of the plate. The oil between the surfaces is shown as the medium affecting the motion of the plate.
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