A rotor of mass 10 kg is mounted midway on a 20 mm diameter horizontal shaft supported at the ends by two bearings. The bearing span is 0.8 m. Because of manufacturing defect the center of gravity of the disc is 0.1 mm away from the geometric center of the rotor. If the system rotates at 3000 rpm, determine the amplitude of the steady state vibration and the dynamic force transmitted to the bearing. Take E = 2 $\times$106 bar.