(Solved): 1. For the concurrent coplanar force system shown determine the force in the boom ( \( \left.F_{A B ...

1. For the concurrent coplanar force system shown determine the force in the boom ( \( \left.F_{A B}\right) \) and the tension in cable (T \( \left.T_{\theta}\right) \) by completing the following: Step 3: Solve for \( F_{A B} \) and \( T_{B C} \) using the force-triangle and trig. B. Rectangular Components and Equilibrium Equations. Step 1: Draw the FBD Step 2: Equilibrium Equations \[ [\Sigma F \mathrm{Fx}=0] \] \[ [\Sigma \mathrm{Fy}=0] \] Step 3: Solve for \( F_{A B} \) and \( T_{B C} \) (use any method for solving two-equations and two-unknowns)