b) A 42 mm thick plate made of low carbon steel is to be reduced to 34 mm in one pass in a rolling operation. As the thickness is reduced, the plate widens by 4%. The yield strength of the steel plate is 174 MPa and the tensile strength is 290 MPa. The entrance speed of the plate is 15 m/min. The roll radius is 325 mm and the rotational speed is 49 rev/min. Determine: the minimum required coefficient of friction that would make this rolling operation possible (1 mark) the exit velocity of the plate (1 mark) i) ii) iii) the forward slip (1 mark)