A viscous fluid is confined between parallel disks of radius R which are separated by a distance H. The top (z =H) and bottom (z = 0) disks are rotated at angular velocities wH and w0, respectively. The system is at steady state and the dynamic conditions are such that Stokes' equation is applicable. (a) Show that there is a solution to the 9-rnomentum equation of the form v9= r f(z), and determine f( z). (