Answered: Disk 1 Disk 2

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Two disks are initially spinning, one above the other on a small axle that provides a small, but non-negligible torque from friction, as shown in the figure below. Both disks have the same radius, R = 2.58 m. Disk 1 has a moment of inertia I₁ = 9.8 kg⋅m². Disk 2 has a moment of inertia I₂ = 5 kg⋅ m². Let vertically up be the z direction, such that counterclockwise rotation as viewed from above corresponds to positive values of the z-component. Disk 1 is initially spinning with a z-component of angular velocity ω_1,z = 21 rad/s, and disk 2 is initially spinning with a z-component of angular velocity ω_2,z = -15 rad/s.

Disk 1 is then dropped on disk 2, and the two discs quickly reach a common, final angular velocity. Find the z-component of their common angular velocity.

The image shows two cylindrical disks labeled "Disk 1" and "Disk 2." Each disk has an arrow indicating rotation around a vertical axis.

- **Disk 1**: The arrow above the disk curves to the right, showing clockwise rotation when viewed from above.
- **Disk 2**: The arrow above this disk is curved to the left, indicating counterclockwise rotation when viewed from above.

This diagram is helpful in understanding rotational motion with respect to different directional conventions.

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