A gear and shaft system is shown in Figure 8. The left end of the shaft is coupled to an electric motor, and the right end is free. Load components applied by the mating gear are shown in the figure. (a) Obtain the shear force diagram of the horizontal and vertical plane. (3 marks) (b) Obtain the moment diagram of the horizontal and vertical plane. (4 marks) Identify the critically loaded shaft cross section and calculate the shaft diameter according to the following approach. Use the following data: Ky= 1.3, 1.2 and 1.3 for bending, torsional and axial loading respectively; material is steel with S, 900MPa and Sy = 700MPa; n = 2.2 and S, = 230MPa. (c) Calculate the diameter of the shaft at the critical position using Soderberg Approach. (6 marks) (d) Calculate the diameter of the shaft at the critical position using Goodman Approach. (8 marks) (e) Elaborate the significance of the answers in 1(c), (d) and (e) according to the shaft design procedure. (4 marks) Bearing A- Rotation Motor 140 mm Bearing B Given the following values Fa=2235 N, Fr=1702 N F = 4092 N. dp=70 mm Figure 8 65 mm. Fr Helical Pinion Ft