A uniform disk of mass (m) and radius (R) lies in a vertical plane and is pivoted

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A uniform disk of mass \(m\) and radius \(R\) lies in a vertical plane and is pivoted about a point a distance \(\ell_{\mathrm{cm}}\) from its center of mass (Figure P15.58). When given a small rotational displacement about the pivot, the disk undergoes simple harmonic motion. Determine the period of this motion.

Data from Figure P15.58

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