Question 1 (15 points) In class, we have discussed the flow of a Newtonian fluid inside a Couette viscometer, which contains a stationary inner cylinder of radius &R and an outer cylinder of radius R rotating at angular velocity . In this question, we will analyze the steady-state flow of a Bingham fluid with viscosity o and yield stress To inside the Couette viscometer. (a) Write down the appropriate momentum balance. Justify your reasoning. (3 pt) (b) For Tre To, solve for the velocity profile of vg (r). (5 pt) (d) Derive the torque of required to initiate the rotation of the outer cylinder. Once the rotation begins, explain how o and To can be determined. (4 pt)