An irregularly shaped plane object of mass 3.2 kg is suspended by a thin rod of adjustable length and is free to swing in the plane of the object (Figure). When the length of the supporting rod is 1.0 m, the period of this pendulum for small oscillations is 2.6 s. When the rod is shortened to 0.8 m, the period decreases to 2.5 s. What will be the period of this physical pendulum if the length of the rod is 0.5m?