---
title: "A uniform solid cylinder of mass \\(M\\) and radius \\(R\\) is released from rest at the top of an incline that makes an angle \\(\\theta\\) with the horizontal. The cylinder rolls down the incline without slipping. Which of the following expressions represents the linear acceleration of the center of mass of the cylinder down the incline?"
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url: "https://nerd-notes.com/ubq/120896/"
date_modified: "2026-08-23T04:44:11+00:00"
---

# A uniform solid cylinder of mass \(M\) and radius \(R\) is released from rest at the top of an incline that makes an angle \(\theta\) with the horizontal. The cylinder rolls down the incline without slipping. Which of the following expressions represents the linear acceleration of the center of mass of the cylinder down the incline?

A uniform solid cylinder of mass \(M\) and radius \(R\) is released from rest at the top of an incline that makes an angle \(\theta\) with the horizontal. The cylinder rolls down the incline without slipping. Which of the following expressions represents the linear acceleration of the center of mass of the cylinder down the incline?

![A right-triangle ramp on a horizontal baseline with the incline sloping downward from upper-left to lower-right at an angle labeled \(\theta\) at the bottom. A circle representing a solid cylinder of radius \(R\) rests on the inclined surface. A radial line segment inside the circle extends from the center to the edge, labeled \(R\). A curved arrow around the center indicates clockwise rotation down the slope. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787460251-WbPoDf.jpg)

- **A.** \(\dfrac{1}{2}g\sin\theta\)
- **B.** \(\dfrac{2}{3}g\sin\theta\)
- **C.** \(\dfrac{5}{7}g\sin\theta\)
- **D.** \(g\sin\theta\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120896/*