Question: Gate AB in the figure is hinged at A, has width b into the paper, and makes smooth contact at B. The gate has density

Gate AB in the figure is hinged at A, has width b into the paper, and makes smooth contact at B. The gate has density ρS and uniform thickness t. For what gate density, expressed as a function of (h, t, ρ, θ), will the gate just begin to lift off the bottom? Why is your answer independent of L and b?

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