Consider that you have recently joined as a design engineer at Ball Bearing Manufacturing Company in Gebang, Pahang, after graduating from Universiti Malaysia Pahang. Your task is to design an analysis for a suitable bearing for a customer. The customer provided you with the following specifications:

The bearing is intended for use with a shaft placed in a gearbox, rotating at a speed of 450 rpm. During operation, the outer ring of the bearing rotates. The bearing must carry a combined radial and axial loading of (5.5 plus 3.5) kN and (2.1 plus 3.5) kN, respectively. The bearing is expected to have a life cycle of 8 hours per day, 5 days per week, for 6 years. The reliability goal for the ensemble of bearings is equal to 98.5%.

a) Determine the equivalent radial load subjected to the bearing when taking into account the axial and radial loads, assuming a load application factor ranging from 1.0 to 1.15.

b) Choose an appropriate bearing type from the available options: deep-groove ball bearing, angular-contact ball bearing, or cylindrical roller bearing 2-series. Justify your choice based on the design analysis.

c) Select a specific bearing designation according to the International Standard for the chosen bearing type in Part (b). Explain the designation and provide any relevant information.

d) Determine the reliability of the final selected bearing. Justify whether the selected bearing is suitable for the application with a reliability goal of 98.5%.