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Question: 5 10 pts a rectangular gate of height 5 l...

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5. (10 pts) A rectangular gate of height 5 L and width W (into f gate the paper) is hinged as shown in Fig. 5 so that it can swivel clockwise to open. The gate impounds water of density ρ and when the free surface of the water above the top of the gate (measured as H) is small enough, the gate stays closed against a stop. If the hinge is frictionless, determine H as a function of L such that the gate just starts to open. Assume the vertical wall above the gate is tall enough, such that the liquid does not spill over the top before the gate opens. The coordinate y with an origin at the water surface may be helpful. water 31 hinge stop 2L Figure 5: Swivel gate.

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