---
title: "A uniform horizontal rod of length \\(L\\) is attached to a vertical wall by a hinge at its left end. A force of magnitude \\(F\\) is applied to the rod at its midpoint. The force vector is directed upward and to the right, making an angle of \\(30^\\circ\\) with the vertical, as shown in the figure. Which of the following expressions correctly represents the magnitude of the torque exerted by the force \\(F\\) about the hinge?"
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url: "https://nerd-notes.com/ubq/111528/"
date_modified: "2026-04-12T02:41:41+00:00"
---

# A uniform horizontal rod of length \(L\) is attached to a vertical wall by a hinge at its left end. A force of magnitude \(F\) is applied to the rod at its midpoint. The force vector is directed upward and to the right, making an angle of \(30^\circ\) with the vertical, as shown in the figure. Which of the following expressions correctly represents the magnitude of the torque exerted by the force \(F\) about the hinge?

A uniform horizontal rod of length \(L\) is attached to a vertical wall by a hinge at its left end. A force of magnitude \(F\) is applied to the rod at its midpoint. The force vector is directed upward and to the right, making an angle of \(30^\circ\) with the vertical, as shown in the figure. Which of the following expressions correctly represents the magnitude of the torque exerted by the force \(F\) about the hinge?

![A diagram shows a horizontal rod of length L. The left end of the rod is connected to a vertical wall via a circular hinge. At the horizontal distance L/2 from the hinge, a force vector F is drawn pointing diagonally upward and to the right. A dashed vertical line passes through the point of application. An angle of 30 degrees is labeled between this dashed vertical line and the force vector F.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1775961701-B0IV0f.jpg)

- **A.** \(\dfrac{FL}{4}\)
- **B.** \(\dfrac{FL}{2}\)
- **C.** \(\dfrac{FL\sqrt{3}}{4}\)
- **D.** \(\dfrac{FL\sqrt{3}}{2}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/111528/*