A cable is centered in a stationary outer circular tube, and is pulled upward through the outer tube with the velocity shown in the figure. The diameters of the cable and the outer tube are as shown. The annular space between the cable and the outer tube is filled with a grease that is modeled as a Newtonian fluid with a dynamic viscosity of 8102 lb s/ft2 . It may be assumed that the small-gap approx- imation can be applied to describe the resulting velocity profile in the fluid in the annular gap between the cable and outer tube. A. B. Obtain an expression for the resulting velocity profile of fluid in the annular gap, and determine from it the shear stress exerted by the grease on the cable? If the length of the cable exposed to the grease is 15 ft, what is the total shear force (magnitude and direction; the direction may be indicated by an arrow, upward or downward) exerted by the grease on the cable? C. If the cable can resist a maximum tensile force of 120 lb, what is maximum length of cable that can be used to avoid a tensile failure