Problem $2$

The $60,000lb$ rocket is fired such that each of its two engines provides a thrust of $T=100,000l{b}_1.$ At a given instant, engine A suddenly fails to operate. Assume the rocket may be approximated by a slender rod $60$ ft $.$ long from $A$ to $B($with mass center $30$ feet from either end$).$

Determine the angular acceleration of the rocket and the acceleration of its nose $B$ at this instant.