A yo-yo-shaped device mounted on a horizontal frictionless axis is used to lift a 39 kg box as shown in the figure. The outer radius R of the device is O.37 m, and the radius r of the hub is 0.17 m. When a constant horizontal force F app of magnitude 270N 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 0.88 m/s?. What is the rotational inertia of the device about its axis of rotation? Fapp Rigid mount Hub Yo-yo shaped device -Rope Number i Units

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Chapter10: Fixed-axis Rotation
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A yo-yo-shaped device mounted on a horizontal frictionless axis is used to lift a 39 kg box as shown in the figure. The outer radius R
of the device is O.37 m, and the radius r of the hub is 0.17 m. When a constant horizontal force F app
of magnitude 270N 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 0.88 m/s?. What is the rotational inertia of the device about its axis of rotation?
Fapp
Rigid mount
Hub
Yo-yo shaped
device
-Rope
Number
i
Units
Transcribed Image Text:A yo-yo-shaped device mounted on a horizontal frictionless axis is used to lift a 39 kg box as shown in the figure. The outer radius R of the device is O.37 m, and the radius r of the hub is 0.17 m. When a constant horizontal force F app of magnitude 270N 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 0.88 m/s?. What is the rotational inertia of the device about its axis of rotation? Fapp Rigid mount Hub Yo-yo shaped device -Rope Number i Units
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