2 2. A solid plate slides down an inclined plane at a known constant velocity vo. The plate is suspended on a uniform liquid film of thickness (see figure). The downward motion of the liquid is due to gravitational forces and the motion of the plate; that is, there is no pressure variation in the direction of motion (x). The liquid density and viscosity are p and u, respectively. Note that, since the control volume used in the analysis of flow down a slope (page 1-12) is independent of the boundaries, the momentum balance given by equation (1.34) still applies to this case. (a) Find the velocity field in the liquid film and the volumetric flow rate (the plate has a depth W in the z direction.) (b) Find an expression to calculate the mass of the plate, M, if its length in the x direction is L. x liquid X 8 g 09 moving solid plate solid surface VO