---
title: "A uniform rod of length \\(L\\) and mass \\(M\\) is attached to a vertical wall by a hinge. The rod is held in a horizontal position by an external force of magnitude \\(F\\) applied to the end of the rod furthest from the wall. The force is applied at an angle \\(\\theta\\) relative to the rod, as shown in the diagram.  Which of the following expressions represents the magnitude of the force \\(F\\) required to maintain the rod in static equilibrium?"
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url: "https://nerd-notes.com/ubq/109209/"
date_modified: "2026-03-21T11:09:46+00:00"
---

# A uniform rod of length \(L\) and mass \(M\) is attached to a vertical wall by a hinge. The rod is held in a horizontal position by an external force of magnitude \(F\) applied to the end of the rod furthest from the wall. The force is applied at an angle \(\theta\) relative to the rod, as shown in the diagram.

Which of the following expressions represents the magnitude of the force \(F\) required to maintain the rod in static equilibrium?

A uniform rod of length \(L\) and mass \(M\) is attached to a vertical wall by a hinge. The rod is held in a horizontal position by an external force of magnitude \(F\) applied to the end of the rod furthest from the wall. The force is applied at an angle \(\theta\) relative to the rod, as shown in the diagram.

Which of the following expressions represents the magnitude of the force \(F\) required to maintain the rod in static equilibrium?

![A horizontal rod of length L is attached to a vertical wall on its left end by a circular hinge. A downward arrow labeled Mg is placed at the center of the rod (L/2). At the right end of the rod, an arrow representing force F points upward and to the right, forming an angle theta with the horizontal line of the rod.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1774091385-NAlPBU.jpg)

- **A.** \(F = \dfrac{Mg}{\sin\theta}\)
- **B.** \(F = \dfrac{Mg}{2\sin\theta}\)
- **C.** \(F = \dfrac{Mg}{2\cos\theta}\)
- **D.** \(F = \dfrac{2Mg}{\sin\theta}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/109209/*