$6\mathrm{.}16$ Angular acceleration addition theorem. $($Sections $8\mathrm{.}3,8\mathrm{.}3\mathrm{.}5,8\mathrm{.}4\mathrm{.}1).$

Use the angular velocity addition theorem and the defini$-$

tion of angular acceleration to prove equation $(8\mathrm{.}10).$

${?}^N$vec$({)}^B={?}_{(8\mathrm{.}10)}^N$vec$({)}^A+{?}^A$vec$({)}^B+{?}^N$vec$({)}^A{?}^A$vec$({)}^B$