A rotor weighing 10 kgf is mounted midway on a 2 cm diameter horizontal shaft supported at the ends by two bearings. The bearing span is 80 cm. Because of a certain manufacturing defect, the center of gravity of the disc is 0.01 mm away from the geometric center of the rotor. If the system rotates at 3000 rpm. Determine the amplitude of steady-state vibration in mm round of to 4 decimal places. For the material of the shaft, E = 2 × 106 MPa.