A uniform thin rod of mass \(M\) and length \(L\) is suspended from a frictionless horizontal pivot located a distance \(d\) from the center of mass of the rod, where \(0 < d < \dfrac{L}{2}\). When displaced by a small angle and released from rest, the rod oscillates as a physical pendulum. In terms of \(L\), at what distance \(d\) from the center of mass is the period of oscillation minimized?