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A vertical plate is submerged in water and has the indicated shape.
5 ft
8
6 ft
6 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.)
4
32
(3x - 3x²
5 ft
dx ≈ 666.67
x lb

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