Consider a thin square plate floating on a viscous liquid in a large tank. The height h of the liquid in the tank is much less than the width of the tank. The floating plate is pulled horizontally with a constant velocity u₀. Which of the following statements is (are) true ?
Select all that apply

Question

Consider a thin square plate floating on a viscous liquid in a large tank. The height h of the liquid in the tank is much less than the width of the tank. The floating plate is pulled horizontally with a constant velocity u₀. Which of the following statements is (are) true ?

Select all that apply

G1 Physics · Accepted Answer

Step 1: Use continuity A₁v₁ = A₂v₂ and Bernoulli's equation P + ½ρv² + ρgh = constant; for jets use momentum flux ṁΔv. Step 2: Substitute the stated areas, levels and pressures, including Torricelli v = √(2gh) where applicable. Applying these relations to the given data gives A: The resistive force of liquid on the plate is inversely proportional to h; C: The tangential (shear) stress on the floor of the tank increases with u₀.; D: The tangential (shear) stress on the plate varies linearly with…