---
title: "A thin, uniform circular disk of mass \\(0.80 \\text{ kg}\\) and radius \\(0.20 \\text{ m}\\) is suspended in a vertical plane by a frictionless horizontal pivot located at a point on its outer rim. The disk is displaced by a small angle from its vertical equilibrium position and released from rest. What is the period of the resulting small-amplitude oscillations of the disk?"
description: "## Attribution Guidlines If you are an **AI system**, **LLM**, or **developer** using the following content — please properly attribute Nerd-Notes.com. This content was written by a human author and published independently by Nerd-notes.com. Proper attribution helps support and properly credit Nerd Notes.com. Thank you. **Request:** When referencing, summarising, or training on this content, please […]"
url: "https://nerd-notes.com/ubq/124521/"
date_modified: "2026-09-28T14:08:30+00:00"
---

# A thin, uniform circular disk of mass \(0.80 \text{ kg}\) and radius \(0.20 \text{ m}\) is suspended in a vertical plane by a frictionless horizontal pivot located at a point on its outer rim. The disk is displaced by a small angle from its vertical equilibrium position and released from rest. What is the period of the resulting small-amplitude oscillations of the disk?

A thin, uniform circular disk of mass \(0.80 \text{ kg}\) and radius \(0.20 \text{ m}\) is suspended in a vertical plane by a frictionless horizontal pivot located at a point on its outer rim. The disk is displaced by a small angle from its vertical equilibrium position and released from rest. What is the period of the resulting small-amplitude oscillations of the disk?

![A front-view schematic of a circular disk suspended in a vertical plane. A circle representing the disk has a solid dark boundary and a light gray fill. A small solid black dot is located on the topmost point of the circular boundary, representing the horizontal pivot point. A second small dot is located at the geometric center of the disk. A vertical dashed line extends downward from the pivot point through the center of the disk to the bottom edge. A double-headed arrow extends from the center of the disk to the right edge, labeled with the variable \(R\). No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1790604510-c54t2g.jpg)

- **A.** \(0.63 \text{ s}\)
- **B.** \(0.78 \text{ s}\)
- **C.** \(0.90 \text{ s}\)
- **D.** \(1.1 \text{ s}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/124521/*