---
title: "A rigid disk is mounted on a fixed, frictionless axle and is initially at rest at time \\(t = 0\\). Starting at \\(t = 0\\), a net external torque \\(\\tau(t) = \\tau_0 \\sin(\\omega t)\\) is exerted on the disk about the axle, where \\(\\tau_0\\) and \\(\\omega\\) are positive constants. Which of the following graphs best represents the angular momentum \\(L\\) of the disk as a function of time \\(t\\) from \\(t = 0\\) to \\(t = \\dfrac{2\\pi}{\\omega}\\)?"
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url: "https://nerd-notes.com/ubq/120935/"
date_modified: "2026-08-23T04:44:24+00:00"
---

# A rigid disk is mounted on a fixed, frictionless axle and is initially at rest at time \(t = 0\). Starting at \(t = 0\), a net external torque \(\tau(t) = \tau_0 \sin(\omega t)\) is exerted on the disk about the axle, where \(\tau_0\) and \(\omega\) are positive constants. Which of the following graphs best represents the angular momentum \(L\) of the disk as a function of time \(t\) from \(t = 0\) to \(t = \dfrac{2\pi}{\omega}\)?

A rigid disk is mounted on a fixed, frictionless axle and is initially at rest at time \(t = 0\). Starting at \(t = 0\), a net external torque \(\tau(t) = \tau_0 \sin(\omega t)\) is exerted on the disk about the axle, where \(\tau_0\) and \(\omega\) are positive constants. Which of the following graphs best represents the angular momentum \(L\) of the disk as a function of time \(t\) from \(t = 0\) to \(t = \dfrac{2\pi}{\omega}\)?

- **A.** Graph A
- **B.** Graph B
- **C.** Graph C
- **D.** Graph D

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120935/*