---
title: "A non-uniform horizontal beam of mass \\(M\\) and length \\(L\\) is held in static equilibrium by two vertical strings. String 1 is attached to the left end of the beam, and String 2 is attached at a distance of \\(\\dfrac{3}{4}L\\) from the left end. The center of mass of the beam is located at a distance of \\(\\dfrac{1}{3}L\\) from the left end. Which of the following is a correct expression for the tension \\(T_1\\) in String 1?"
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url: "https://nerd-notes.com/ubq/109361/"
date_modified: "2026-03-21T23:40:28+00:00"
---

# A non-uniform horizontal beam of mass \(M\) and length \(L\) is held in static equilibrium by two vertical strings. String 1 is attached to the left end of the beam, and String 2 is attached at a distance of \(\dfrac{3}{4}L\) from the left end. The center of mass of the beam is located at a distance of \(\dfrac{1}{3}L\) from the left end. Which of the following is a correct expression for the tension \(T_1\) in String 1?

A non-uniform horizontal beam of mass \(M\) and length \(L\) is held in static equilibrium by two vertical strings. String 1 is attached to the left end of the beam, and String 2 is attached at a distance of \(\dfrac{3}{4}L\) from the left end. The center of mass of the beam is located at a distance of \(\dfrac{1}{3}L\) from the left end. Which of the following is a correct expression for the tension \(T_1\) in String 1?

![A horizontal rectangular beam of length L. The left end is at x = 0 and the right end is at x = L. A vertical string, labeled String 1, is attached to the top-left corner at x = 0. A second vertical string, labeled String 2, is attached to the top of the beam at x = 3L/4. A small dot labeled CM is located on the beam at x = L/3. Dashed horizontal lines below the beam indicate the distances L/3 and 3L/4 from the left end.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1774136427-rfLkvV.jpg)

- **A.** \(\dfrac{1}{3}Mg\)
- **B.** \(\dfrac{4}{9}Mg\)
- **C.** \(\dfrac{5}{9}Mg\)
- **D.** \(\dfrac{2}{3}Mg\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/109361/*