A light semicylindrical gate of radius R is pivoted at the midpoint O of its diameter and holds a liquid of density ρ as shown. The force F required to prevent rotation of the gate is: Image
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A light semicylindrical gate of radius R is pivoted at the midpoint O of its diameter and holds a liquid of density ρ as shown. The force F required to prevent rotation of the gate is: Image

G1 Physics · Accepted Answer

Step 1: Use hydrostatic equilibrium, P₂−P₁ = ρgΔh; in an accelerating fluid replace g by the effective acceleration where required. Step 2: Equate pressures at the same horizontal level or integrate pressure over the stated surface. Applying these relations to the given data gives D: None of these. Final answer: D.