1.

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 velocityu_0. Which of the following statement is (are) true ?

Answer»

The resistive force of liquid on the PLATE is inversely proportional to h
The resistive force of liquid on the plate is independent of the area of the plate
The tangential (SHEAR) STRESS on the FLOOR of the tank increases with`u_0`
the tangential (shear) stress on the plate varies linearly with the VISCOSITY ` eta `of the liquid

Solution :Theviscousforce,` F = - eta A (du )/(dx )=-eta A (u_0 )/(h )thereforeFprop (1)/(h), F propu_0 , F prop eta `


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