Question
A rectangular gate that is 2m wide is located in the vertical wall of a tank containing water as shown in the figure at the right copied from the text. It’s desired to have the gate open automatically when the depth of the water above the top of the gate reaches 10m. Please answer the following: a) At what distance, d, should the frictionless horizontal shaft be located? b) What is the magnitude of the force on the gate when it opens?

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Answer #1

Area of the Gate Centroidal depth of the gate,h - Moment of Inertia of the gate about C.G, 4 h1012 m 2 2(4)3 12 bh3 - 10.667

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