A yo-yo-shaped device mounted on a horizontal frictionless axis is used to lift a 33 kg box as shown in the figure. The outer radius R of the device is 0.34 m, and the radius r of the hub is 0.17 m. When a constant horizontal force F→app of magnitude 250 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 0.62 m/s2. What is the rotational inertia of the device about its axis of rotation?

A yo-yo-shaped device mounted on a horizontal frictionless axis is used to lift a 33 kg box as shown in the figure. The outer radius R of the device is 0.34 m, and the radius r of the hub is 0.17 m. When a constant horizontal force F→app of magnitude 250 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 0.62 m/s2. What is the rotational inertia of the device about its axis of rotation?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 9OQ: As shown in Figure OQ10.9, a cord is wrapped onto a cylindrical reel mounted on a fixed,...

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