You have one horizontal beam. Its left point is attached to a free pivot at the vertical wall. Its right point is suspended by a rope from the ceiling. Nothing is moved. So $\sum F=0$ and $\sum M=0$. To analyze this, we write $F_a-F_b=0$, where $F_a$ is the force from the rope and $F_b$ is the force of the weight of the beam. At the same time, $Μ_a-M_b=0$, where $M_a$ is the moment from $F_a$ and $M_b$ is the moment from $M_b$. Am I right?
Now we have the same system, but the beam's right point is dropped a bit, so it's not horizontal, but it has an angle. What are the equilibrium equations? Are they exactly the same?