2- Figure (2) shows a geared countershaft with an overhanging pinion at C. The force on gear A is FA = 2700 N and the shaft is to run at a speed of 480rev/min. a-Calculate the diameter of shaft assuming that the shaft is made up of steel AISI 4142 (Sy=215 MPa, Su-430MPa). b- Select a suitable ball bearing at the supports O and B for a life of 50000 hr c-Select a suitable key to connect gear at A to the shaft assuming a factor of safety equals 3.0 Gear 3 600-in dia. Fig. (2) 500 270 N 20° 400 B Gear 4 250-in dia. Dimensions in millimeters FC 20°​