A uniform horizontal boom of mass \(M\) and length \(L\) is attached to a vertical wall by a frictionless pivot at its left end. A light tie-rod is connected between the right end of the boom and the wall above the pivot, making an angle \(\theta\) with the horizontal boom, where \(0 < \theta < 90^\circ\). Let \(T\) be the tension in the tie-rod and \(F_H\) be the magnitude of the horizontal force exerted by the pivot on the boom. Which of the following correctly describes the behavior of \(T\) and \(F_H\) in the theoretical limits \(\theta \to 0^\circ\) and \(\theta \to 90^\circ\)?