(Solved): Outriggers \( A \) and \( B \) are used to stabilize the crane from overturning when lifting large ...

Outriggers \( A \) and \( B \) are used to stabilize the crane from overturning when lifting large loads. If the load to be lifted is \( 2.3 \) \( \mathrm{Mg} \), determine the maximum boom angle \( \theta \) so that the crane does not overturn. The crane has a mass of \( 4.8 \mathrm{Mg} \) and center of mass at \( G_{C} \), whereas the boom has a mass of \( 0.9 \mathrm{Mg} \) and center of mass at \( G_{B} \).