A yo-yo-shaped device mounted on a horizontal frictionless axis is used to lift a 23 kg box as shown in the figure. The outer radius R of the device is 1.0 m, and the radius r of the hub is 0.3O m. When a constant horizontal force F app of magnitude 100 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 0.77 m/s². What is the rotational inertia of the device about its axis of rotation? Fapp Rigid mount Hub R. Yo-yo shaped device Rope Number i Units

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter7: Dry Friction
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Problem 7.72P
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A yo-yo-shaped device mounted on a horizontal frictionless axis is used to lift a 23 kg box as shown in the figure. The outer radius R of
the device is 1.0 m, and the radius r of the hub is 0.30 m. When a constant horizontal force F
аpp
of magnitude 100 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 0.77 m/s?. What is the rotational inertia of the device about its axis of rotation?
"app
· Rigid mount
Hub
R
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 23 kg box as shown in the figure. The outer radius R of the device is 1.0 m, and the radius r of the hub is 0.30 m. When a constant horizontal force F аpp of magnitude 100 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 0.77 m/s?. What is the rotational inertia of the device about its axis of rotation? "app · Rigid mount Hub R Yo-yo shaped device Rope Number i Units
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