A simple stick model of a rocket thruster

is given in the Figure. The thrust can be

vectored $()$ between $-15$ and $+15.$

Assume the body $($gold bit$)$ is rigid and the

thruster $($blue bit$)$ forms a fixed boundary at

point $A.$ Make a free$-$body$-$diagram of the

thruster and determine the maximum thrust

force allowable if the maximum force

allowed by the material a point $A$ is $10$ kN $.$

What is the maximum moment at $A$ if

thruster $($blue part$)$ is $0\mathrm{.}4$ m long?