Problem 2: [25%] A thin 20-cmx 20-cm flat plastic plate is pulled at 1 m/s horizontally to the right with an external force F through a 3.6-mm-thick oil layer sandwiched between two plates, one stationary and the other moving at a constant velocity of 0.3 m/s to the left, as shown in the figure. The dynamic viscosity (u) of oil is 0.027 N.s/m. Assume the velocity in each oil layer to vary linearly, as shown in the figure in blue. 1 m-1000 mm, 1 m = 100 cm. (a) Draw the free body diagram of the plastic plate, clearly showing the directions of the weight (W) force, external force (F), and the resistive shear forces on the top (Ftop) and bottom (Fbottom) faces of the plate. [6 pts] (b) Find the magnitude of the shear forces acting on the top and bottom faces of the thin flat plastic plate. [14 pts] (c) Use the free body diagram from (a) and the results from (b) to determine the magnitude of the external force F that needs to be applied on the plate to maintain this motion to the right. [5 pts] Fixed plate h = 1 mm V-1 m/s F h = 2.6 mm Thin 20 cmx20 cm flat plastic plate K-0.3 m/s Moving plate