Final - winter 2012 - Solution


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Unformatted text preview: a l component) acting on the curved surface, and their line of application. Determine the minimum spring force required to keep the ga te closed when the water level rises to A at the upper edge of the gate. Barycenter of quarter‐circle is: Assume: 1. The hinge is frictionless. 2. The atmospheric pressure acts on both sides of the gate, a nd thus it can be ignored in calculations for convenience. 3. The weight of the gate is negligible. 4. Take the density of water to be 1000 kg/m3 throughout. [Parallel axis theorem: y' yc I xx ,c yc A , where y’ is the line of applica tion coordinate, yc is the coord dinate of the centroid, Ixx,c is the moment of inertia equal to 1 W L3 , 1...
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