---
title: "A uniform solid disk of mass \\(M\\) and radius \\(R\\) is mounted on a frictionless horizontal axle that passes through its center. A light string is wrapped around the outer edge of the disk, and a constant force of magnitude \\(F\\) is applied to the end of the string, as shown in the figure. The rotational inertia of a solid disk about its center is \\(I = \\dfrac{1}{2}MR^2\\). Which of the following is a correct expression for the magnitude of the angular acceleration of the disk?"
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url: "https://nerd-notes.com/ubq/109948/"
date_modified: "2026-03-26T07:05:30+00:00"
---

# A uniform solid disk of mass \(M\) and radius \(R\) is mounted on a frictionless horizontal axle that passes through its center. A light string is wrapped around the outer edge of the disk, and a constant force of magnitude \(F\) is applied to the end of the string, as shown in the figure. The rotational inertia of a solid disk about its center is \(I = \dfrac{1}{2}MR^2\). Which of the following is a correct expression for the magnitude of the angular acceleration of the disk?

A uniform solid disk of mass \(M\) and radius \(R\) is mounted on a frictionless horizontal axle that passes through its center. A light string is wrapped around the outer edge of the disk, and a constant force of magnitude \(F\) is applied to the end of the string, as shown in the figure. The rotational inertia of a solid disk about its center is \(I = \dfrac{1}{2}MR^2\). Which of the following is a correct expression for the magnitude of the angular acceleration of the disk?

![A circular solid disk with radius R and mass M. A horizontal axle is at the center. A string is wrapped around the top edge of the disk and pulled to the right with a horizontal force arrow labeled F. The disk is oriented in the vertical plane.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1774508730-EA6pzg.jpg)

- **A.** \(\alpha = \dfrac{F}{2MR}\)
- **B.** \(\alpha = \dfrac{F}{MR}\)
- **C.** \(\alpha = \dfrac{2F}{MR}\)
- **D.** \(\alpha = \dfrac{2F}{MR^2}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/109948/*