A disk of rotational inertia \(I\) about the central axis shown in Figure P11.51 is rotating about this axis with initial rotational velocity \(\omega_{\vartheta, \mathrm{i}}\) on low-friction bearings. A second identical disk is held at rest a few millimeters directly above the first disk and suddenly dropped. After some slipping, the two discs are observed to have a common rotational speed about the original axis of rotation. What is the magnitude of the final rotational velocity of the combined disks?

Data from Figure P11.51

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