1. A thin tape (surface area A) will be pulled at constant velocity between two fixed plates separated by a distance h by means of a force F (see figure). The regions between the tape and the fixed plates are filled with liquids of different viscosities. The purpose of the setup is to coat both sides of the tape with different materials. We would like to develop a quantitative criterion to decide where to locate the tape between the plates (i.e. we would like to find the optimum value of 8). Fixed plates :] ui F Tape h (c) If the tape moves at a velocity vo = 0.7 m/s and the objective is to minimize the force F needed to pull it, find an expression to calculate the optimum value of 8. What is this optimum value and the corresponding value of the minimum force for the data set in part (a)