A vertical plate is submerged in water and has the indicated shape. 5 ft 6 ft 5 ft 5 ft Express the hydrostatic force (in ft) against one side of the plate as an integral (let the positive direction be downwards) and evaluate it. (Recall that the weight density of water is 62.5 lb/ft³.) lb
A vertical plate is submerged in water and has the indicated shape. 5 ft 6 ft 5 ft 5 ft Express the hydrostatic force (in ft) against one side of the plate as an integral (let the positive direction be downwards) and evaluate it. (Recall that the weight density of water is 62.5 lb/ft³.) lb
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![A vertical plate is submerged in water and has the indicated shape.
The diagram shows a trapezoidal plate submerged in water. The top side of the trapezoid is 6 feet long. The two non-parallel sides are 5 feet each, and the bottom is shaped like a downward-pointing triangle. The height from the water surface to the base of the trapezoid is 5 feet, and another measure shows 5 more feet down to the tip of the triangle.
Express the hydrostatic force (in ft) against one side of the plate as an integral (let the positive direction be downwards) and evaluate it. (Recall that the weight density of water is 62.5 lb/ft³.)
\[ \int_{5}^{0} \left( \right) dx = \, \text{lb} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5220fe13-b903-4773-a5d2-b4798a432c22%2F64650d33-6000-45ac-979c-8c35989affcb%2Fswzbd59_processed.png&w=3840&q=75)
Transcribed Image Text:A vertical plate is submerged in water and has the indicated shape.
The diagram shows a trapezoidal plate submerged in water. The top side of the trapezoid is 6 feet long. The two non-parallel sides are 5 feet each, and the bottom is shaped like a downward-pointing triangle. The height from the water surface to the base of the trapezoid is 5 feet, and another measure shows 5 more feet down to the tip of the triangle.
Express the hydrostatic force (in ft) against one side of the plate as an integral (let the positive direction be downwards) and evaluate it. (Recall that the weight density of water is 62.5 lb/ft³.)
\[ \int_{5}^{0} \left( \right) dx = \, \text{lb} \]
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