A hole is drilled through the narrow end of a \(0.960-\mathrm{kg}\) baseball bat, and the bat is hung on a nail so that it can swing freely (Figure P15.85). The bat is \(0.860 \mathrm{~m}\) long, the hole is drilled \(0.0300 \mathrm{~m}\) from the end, and the center of mass is located \(0.670 \mathrm{~m}\) from the end. If the period of oscillation is \(1.85 \mathrm{~s}\), what is the bat's rotational inertia

(a) about the pivot and

(b) about the center of mass?

(c) If the hole had been drilled \(0.200 \mathrm{~m}\) from the end, what would the period be?

Data from Figure P15.85