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4. A planar gate of width Wa = 10 ft and length L = 20 ft is held at an angle by a rope. The rope is attached to an object having a weight W through a pulley placed so that the rope makes an angle 90° with the gate. We seek to find the weight W necessary to hold the gate static at an angle with respect to the horizontal surface. The density of water is p= 1 g/cm³ and the gravitational acceleration is g = 9.8 m/s². air Z water air 0₁ z (a) Find the horizontal and vertical components of the net hydrostatic force exerted on the gate? (b) Find zep and Zep, the coordinates of the center of pressure. (c) Find the tension force required to balance the moment of the hydrostatic forces about the point O₂. (d) What is the weight required to maintain the gate at a static equilibrium at 9 = 30°?

4. A planar gate of width Wa = 10 ft and length L = 20 ft is held at an angle by a rope. The rope is attached to an object having a weight W through a pulley placed so that the rope makes an angle 90° with the gate. We seek to find the weight W necessary to hold the gate static at an angle with respect to the horizontal surface. The density of water is p= 1 g/cm³ and the gravitational acceleration is g = 9.8 m/s². air Z water air 0₁ z (a) Find the horizontal and vertical components of the net hydrostatic force exerted on the gate? (b) Find zep and Zep, the coordinates of the center of pressure. (c) Find the tension force required to balance the moment of the hydrostatic forces about the point O₂. (d) What is the weight required to maintain the gate at a static equilibrium at 9 = 30°?

Elements Of Electromagnetics
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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4. A planar gate of width Wa = 10 ft and length L = 20 ft is held at an angle by a rope. The rope is attached to an object having a weight W through a pulley placed so that the rope makes an angle 90° with the gate. We seek to find the weight W necessary to hold the gate static at an angle with respect to the horizontal surface. The density of water is p = 1 g/cm³ and the gravitational acceleration is g = 9.8 m/s². air Z water air 0₁ z (a) Find the horizontal and vertical components of the net hydrostatic force exerted on the gate? (b) Find zep and Zep, the coordinates of the center of pressure. (c) Find the tension force required to balance the moment of the hydrostatic forces about the point 02. (d) What is the weight required to maintain the gate at a static equilibrium at 0 = 30°?
Transcribed Image Text:4. A planar gate of width Wa = 10 ft and length L = 20 ft is held at an angle by a rope. The rope is attached to an object having a weight W through a pulley placed so that the rope makes an angle 90° with the gate. We seek to find the weight W necessary to hold the gate static at an angle with respect to the horizontal surface. The density of water is p = 1 g/cm³ and the gravitational acceleration is g = 9.8 m/s². air Z water air 0₁ z (a) Find the horizontal and vertical components of the net hydrostatic force exerted on the gate? (b) Find zep and Zep, the coordinates of the center of pressure. (c) Find the tension force required to balance the moment of the hydrostatic forces about the point 02. (d) What is the weight required to maintain the gate at a static equilibrium at 0 = 30°?
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