A gate rotates at point A and releases water when the water’s depth, d, exceeds a certain value. The gate’s width (perpendicular to the image) is b = 2.95 ft, the water’s depth is d = 4.82 ft, and point A is located at h = 2.41 ft. a) What is F, the magnitude of the horizontal force exerted on the gate by the water? The water’s specific weight is γw=62.4lb/ft3. b) What are Ax and Bx, the horizontal reaction forces at points A and B that act on the gate from Part A. c) What is dmax, the water’s maximum depth before the pressure causes the gate from part A to open?

A gate rotates at point A and releases water when the water’s depth, d, exceeds a certain value. The gate’s width (perpendicular to the image) is b = 2.95 ft, the water’s depth is d = 4.82 ft, and point A is located at h = 2.41 ft.

a) What is F, the magnitude of the horizontal force exerted on the gate by the water? The water’s specific weight is γw=62.4lb/ft3.

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b) What are Ax and Bx, the horizontal reaction forces at points A and B that act on the gate from Part A.

c) What is dmax, the water’s maximum depth before the pressure causes the gate from part A to open?

d h

 

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