# Two disks are mounted (like a merry-go-round) on low-friction bearings on the same axle and can be brought together so that they couple and rotate as one unit. The first disk, with rotational inertia 3.17 kg·m2 about its central axis, is set spinning counterclockwise (which may be taken as the positive direction) at 489 rev/min. The second disk, with rotational inertia 7.08 kg·m2 about its central axis, is set spinning counterclockwise at 858 rev/min. They then couple together. (a) What is their angular speed after coupling? If instead the second disk is set spinning clockwise at 858 rev/min, what are their (b) angular velocity (using the correct sign for direction) and (c) direction of rotation after they couple together?

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 50P: A disk with moment of inertia I1 rotates about a frictionless, vertical axle with angular speed i. A...
Question

Two disks are mounted (like a merry-go-round) on low-friction bearings on the same axle and can be brought together so that they couple and rotate as one unit. The first disk, with rotational inertia 3.17 kg·m2 about its central axis, is set spinning counterclockwise (which may be taken as the positive direction) at 489 rev/min. The second disk, with rotational inertia 7.08 kg·m2 about its central axis, is set spinning counterclockwise at 858 rev/min. They then couple together. (a) What is their angular speed after coupling? If instead the second disk is set spinning clockwise at 858 rev/min, what are their (b) angular velocity (using the correct sign for direction) and (c) direction of rotation after they couple together?

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