Can someone solve this problem step by step thanks

45. A viscometer can be designed based on the following setup as shown below. An infinitely long cylinder is continuously moving vertically upward through a large body of a stagnant, incompressible Newtonian fluid. This cylinder is surrounded by a short annular cylindrical collar, which is open at both ends. The collar is maintained coaxially aligning with the moving cylinder. The cylinder velocity U can be adjusted to maintain the collar at fixed position (does not fall). Assume that that the fluid flow is laminar. (a) Write down the basic force balance (as specific as possible) for the collar in U equilibrium. (6%) The cylinder of diameter d (b) Derive the shear stress acting on the collar. moving with (10%) The collar with velocity U (c) Derive the viscosity of the fluid in terms of R length Land inner and outer the geometry, the speed, and the densities diameters, R1 of the fluid and collar. (8%) L R2 and R2