A rigid, lightweight triangular bracket is mounted to a vertical wall and is free to rotate about a frictionless pivot at its right-angled corner \(P\). The bracket has a horizontal leg of length \(4L\) and a vertical leg of length \(3L\). Three individual forces \(\vec{F}_A\), \(\vec{F}_B\), and \(\vec{F}_C\) are applied to the bracket vertices as shown:

I. Force \(\vec{F}_A\) has magnitude \(2F\) and is directed perpendicular to the horizontal leg.
II. Force \(\vec{F}_B\) has magnitude \(4F\) and makes an angle of \(30^\circ\) with the vertical leg.
III. Force \(\vec{F}_C\) has magnitude \(2F\) and is directed perpendicular to the vertical leg.

Which of the following correctly ranks the magnitudes of the torques \(\tau_A\), \(\tau_B\), and \(\tau_C\) exerted by each force about pivot \(P\)?