---
title: "A uniform horizontal beam of mass \\(M\\) and length \\(L\\) is attached to a vertical wall by a hinge. A vertical cable is initially attached to the right end of the beam to maintain it in a horizontal position. The cable is then moved from the right end to the center of the beam (the location of the center of mass). Which of the following correctly describes how the tension in the cable and the magnitude of the vertical force exerted by the hinge on the beam change?  | Tension in Cable | Hinge Force Magnitude | | :— | :— | | (A) Increases | Increases | | (B) Increases | Decreases | | (C) Decreases | Increases | | (D) Decreases | Decreases |"
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url: "https://nerd-notes.com/ubq/111532/"
date_modified: "2026-04-12T02:42:05+00:00"
---

# A uniform horizontal beam of mass \(M\) and length \(L\) is attached to a vertical wall by a hinge. A vertical cable is initially attached to the right end of the beam to maintain it in a horizontal position. The cable is then moved from the right end to the center of the beam (the location of the center of mass). Which of the following correctly describes how the tension in the cable and the magnitude of the vertical force exerted by the hinge on the beam change?

| Tension in Cable | Hinge Force Magnitude |
| :— | :— |
| (A) Increases | Increases |
| (B) Increases | Decreases |
| (C) Decreases | Increases |
| (D) Decreases | Decreases |

A uniform horizontal beam of mass \(M\) and length \(L\) is attached to a vertical wall by a hinge. A vertical cable is initially attached to the right end of the beam to maintain it in a horizontal position. The cable is then moved from the right end to the center of the beam (the location of the center of mass). Which of the following correctly describes how the tension in the cable and the magnitude of the vertical force exerted by the hinge on the beam change?

| Tension in Cable | Hinge Force Magnitude |
| :--- | :--- |
| (A) Increases | Increases |
| (B) Increases | Decreases |
| (C) Decreases | Increases |
| (D) Decreases | Decreases |

![A horizontal beam of length L is shown. The left end is attached to a vertical wall via a pivot point labeled 'Hinge'. At the right end of the beam, a vertical line representing a cable points upward. A dashed vertical line at the center of the beam (L/2) indicates the new position of the cable. A small dot at the center of the beam represents the center of mass.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1775961725-CVKL4G.jpg)

- **A.** (A)
- **B.** (B)
- **C.** (C)
- **D.** (D)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/111532/*