A yo-yo-shaped device mounted on a horizontal frictionless axis is used to lift a 31 kg box as shown in the figure. The outer radius R of the device is 0.56 m, and the radius r of the hub is 0.23 m. When a constant horizontal force F→app of magnitude 180 N is applied to a rope wrapped around the outside of the device, the box, which is suspended from a rope wrapped around the hub, has an upward acceleration of magnitude 0.63 m/s2. What is the rotational inertia of the device about its axis of rotation?

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