---
title: "Disk 1 and Disk 2 are two solid, uniform disks mounted on independent, frictionless vertical axles. Disk 1 has mass \\(M\\) and radius \\(R\\). Disk 2 has mass \\(2M\\) and radius \\(2R\\). An identical constant tangential force of magnitude \\(F\\) is applied to the outer edge of each disk. If \\(\\alpha_1\\) is the magnitude of the angular acceleration of Disk 1 and \\(\\alpha_2\\) is the magnitude of the angular acceleration of Disk 2, what is the ratio \\(\\dfrac{\\alpha_2}{\\alpha_1}\\)?"
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url: "https://nerd-notes.com/ubq/111550/"
date_modified: "2026-04-12T03:11:12+00:00"
---

# Disk 1 and Disk 2 are two solid, uniform disks mounted on independent, frictionless vertical axles. Disk 1 has mass \(M\) and radius \(R\). Disk 2 has mass \(2M\) and radius \(2R\). An identical constant tangential force of magnitude \(F\) is applied to the outer edge of each disk. If \(\alpha_1\) is the magnitude of the angular acceleration of Disk 1 and \(\alpha_2\) is the magnitude of the angular acceleration of Disk 2, what is the ratio \(\dfrac{\alpha_2}{\alpha_1}\)?

Disk 1 and Disk 2 are two solid, uniform disks mounted on independent, frictionless vertical axles. Disk 1 has mass \(M\) and radius \(R\). Disk 2 has mass \(2M\) and radius \(2R\). An identical constant tangential force of magnitude \(F\) is applied to the outer edge of each disk. If \(\alpha_1\) is the magnitude of the angular acceleration of Disk 1 and \(\alpha_2\) is the magnitude of the angular acceleration of Disk 2, what is the ratio \(\dfrac{\alpha_2}{\alpha_1}\)?

![Two solid disks viewed from the side. Disk 1 on the left has a central vertical axle, mass M, and radius R. A force vector F is shown at the right edge of Disk 1, pointing into the page. Disk 2 on the right is twice as wide and twice as thick as Disk 1, with a central vertical axle, mass 2M, and radius 2R. An identical force vector F is shown at its right edge, also pointing into the page.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1775963472-MRP1kk.jpg)

- **A.** \(1/8\)
- **B.** \(1/4\)
- **C.** \(1/2\)
- **D.** \(1\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/111550/*