A thin, uniform square plate with side length \(L\) is mounted on a fixed, frictionless pivot at its central point \(P\). Four forces act along the outer edges of the plate: a force of magnitude \(3F\) directed to the right along the top edge, a force of magnitude \(2F\) directed upward along the right edge, a force of magnitude \(F\) directed to the left along the bottom edge, and a force of magnitude \(4F\) directed downward along the left edge. Which of the following correctly identifies the net torque exerted on the plate about the pivot \(P\) and provides the correct physical justification?