---
title: "A car of mass \\(M\\) travels at a constant speed \\(v\\) around a circular track of radius \\(R\\) banked at an angle \\(\\theta\\) to the horizontal. The car is traveling into the page and the center of the circular track is to the left of the car, as shown. The speed of the car is greater than \\(\\sqrt{Rg \\tan\\theta}\\), where \\(g\\) is the acceleration due to gravity. Which of the following best represents the free-body diagram for the car?"
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/110301/"
date_modified: "2026-04-07T07:05:10+00:00"
---

# A car of mass \(M\) travels at a constant speed \(v\) around a circular track of radius \(R\) banked at an angle \(\theta\) to the horizontal. The car is traveling into the page and the center of the circular track is to the left of the car, as shown. The speed of the car is greater than \(\sqrt{Rg \tan\theta}\), where \(g\) is the acceleration due to gravity. Which of the following best represents the free-body diagram for the car?

A car of mass \(M\) travels at a constant speed \(v\) around a circular track of radius \(R\) banked at an angle \(\theta\) to the horizontal. The car is traveling into the page and the center of the circular track is to the left of the car, as shown. The speed of the car is greater than \(\sqrt{Rg \tan\theta}\), where \(g\) is the acceleration due to gravity. Which of the following best represents the free-body diagram for the car?

![A cross-section of a car on a banked ramp. The ramp makes an angle theta with the horizontal floor. The car is on the ramp, and a dashed horizontal line extends from the car to the left, labeled 'R' to indicate the distance to the center of the circular path.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1775022944-h4EEF2.jpg)

- **A.** Diagram A
- **B.** Diagram B
- **C.** Diagram C
- **D.** Diagram D

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/110301/*