1.       A paper machine processes rolls of paper having a density of 984 kg/m3. The paper roll is 1.50-m OD X 22-cm ID X 3.23-m long and is on a simply supported, 22-cm OD, steel shaft. The roll turns at 50 rpm. Design suitable hydrodynamically lubricated full-film bronze short bearings of l / d = 0.75 to support the shaft at each end. Specify the viscosity of lubricant needed at 180°F. State all assumptions.

2.       Find the minimum film thickness for a long bearing with the following data: 30-mm dia, 130 mm long, 0.0015 clearance ratio, 1 500 rpm, ISO VG 100 oil at 200°F, and supporting a load of 7 kN.