A countershaft carryling two V$-$belt pulleys is shown in the figure. Pulley A recelves 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 tenslon on the loose side at $B$ is $15$ percent of the tension on the tight side. For the steel countershaft shown in the figure below. find the deflection and slope of the shaft at point A$.$ Use superposition with the deflection equations in Table A$-9.$ Assume the bearings constitute simple supports. In the figure shown below. $T_x=1870N,T_y=280\mathrm{.}5N,$ and the diameter of the shaft. $($dshaft$)$ is $31\mathrm{.}8mm.$

The deflection at point $A$ is The slope at point $A$ is

mm$.$ rad.