A 30-mm-thick plate made of low carbon steel is reduced to 25 mm in one pass in a rolling operation. As the thickness is reduced, the plate widens by X4%. Yield strength of the steel = 174 MPa, and tensile strength = 290 MPa. The entrance speed of the plate = 77 m/min. Roll radius = 300 mm, and rotational speed = 45 rev/min. Determine (a) the minimum required coefficient of friction that would make this rolling operation possible, (b) exit velocity of the plate, and (c) If the work material has a flow curve defined by K = 350 MPa and n = 0.17, find the average flow stress .