A flat, square conducting loop with side length \(a\), total resistance \(R\), and moment of inertia \(I\) about its central symmetry axis rotates in a region containing a uniform magnetic field \(\vec{B}\). The rotation axis lies in the plane of the loop and is perpendicular to \(\vec{B}\). At an instant when the normal to the loop makes an angle \(\theta\) with \(\vec{B}\), the loop has an instantaneous angular velocity \(\omega = \dfrac{d\theta}{dt}\). Which of the following differential equations correctly describes the rate of change of the loop's angular velocity \(\dfrac{d\omega}{dt}\) due to electromagnetic damping?