A uniform thin rod of mass \(M\) and length \(L\) lies at rest on a frictionless horizontal tabletop and is free to rotate about a fixed vertical pivot passing through one end. At time \(t = 0\), a horizontal force directed perpendicular to the rod is applied at the free end. The magnitude of the force decreases linearly with time according to \(F(t) = F_0 \left(1 - \dfrac{t}{T}\right)\) for \(0 \le t \le T\), after which the force is zero. Which of the following expressions represents the angular speed of the rod at time \(t = T\)?