Using ${}_{\text{a}\text{l}\text{l}}=7\mathrm{.}5$ksi and knowing that $G=5\mathrm{.}6{10}^6,$ determine for each of the cold$-$rolled yellow brass bars shown the largest torque $T$ that can be applied and the corresponding angle of twist at end $B.$ Refer to Table $3\mathrm{.}1.$

The torque for the brass bar $(a)$ is kip$-$in$.$

The angle of twist for the brass bar $($a$)$ is

The torque for the brass bar $(b)$ is

kip.in$.$

The angle of twist for the brass bar $(b)$ is