A liquid of density ρ is contained in a vessel accelerating horizontally with acceleration a. The free surface makes an angle θ with the horizontal. Which relation is correct?
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A liquid of density ρ is contained in a vessel accelerating horizontally with acceleration a. The free surface makes an angle θ with the horizontal. Which relation is correct?

G1 Physics · Accepted Answer

In the vessel frame the effective gravity is g⃗_eff=−gĵ−aî. The free surface is perpendicular to g⃗_eff, so its slope satisfies tanθ=a/g.