A rotating countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives power from a motor through a belt with the belt tensions shown. The power is transmitted through the shaft and delivered to the belt on pulley B. Assume the belt tension on the loose side at B is 15 percent of the tension on the tight side. The countershaft is machined from AISI 1050 cold-drawn steel and has grounded surface, working temperature of 100C, all shoulder fillets of D/d=1.2 and r/d=0.1, and 90% reliability. Determine (a) the fatigue factor of safety based on achieving infinite life according to the Goodman line, (b) the yielding factor of safety. Table A-20 Deterministic ASTM Minimum Tensile and Yield Strengths for Some Hot-Rolled (HR) and Cold-Drawn (CD) Steels [The strengths listed are estimated ASTM minimum values in the size range 18 to 32mm(43 to 141 in). These strengths are suitable for use with the design factor defined in Sec. 1-10, provided the materials conform to ASTM A6 or A568 requirements or are required in the purchase specifications. Remember that a numbering system is not a specification.]