---
title: "A wrench of length \\(L\\) is used to tighten a bolt located at a pivot point \\(P\\). The wrench is oriented at an angle \\(\\theta\\) above the positive \\(x\\)-axis. A person applies a force of magnitude \\(F\\) to the end of the wrench. The force is directed at an angle \\(\\phi\\) below the positive \\(x\\)-axis, as shown in the figure.  Which of the following expressions correctly represents the magnitude of the torque exerted by the force \\(F\\) about the pivot \\(P\\)?"
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url: "https://nerd-notes.com/ubq/112620/"
date_modified: "2026-04-29T21:42:42+00:00"
---

# A wrench of length \(L\) is used to tighten a bolt located at a pivot point \(P\). The wrench is oriented at an angle \(\theta\) above the positive \(x\)-axis. A person applies a force of magnitude \(F\) to the end of the wrench. The force is directed at an angle \(\phi\) below the positive \(x\)-axis, as shown in the figure.

Which of the following expressions correctly represents the magnitude of the torque exerted by the force \(F\) about the pivot \(P\)?

A wrench of length \(L\) is used to tighten a bolt located at a pivot point \(P\). The wrench is oriented at an angle \(\theta\) above the positive \(x\)-axis. A person applies a force of magnitude \(F\) to the end of the wrench. The force is directed at an angle \(\phi\) below the positive \(x\)-axis, as shown in the figure.

Which of the following expressions correctly represents the magnitude of the torque exerted by the force \(F\) about the pivot \(P\)?

![A coordinate plane with a pivot point P at the origin (0,0). A solid thick line representing a wrench of length L extends from the origin into the first quadrant at an angle theta relative to the positive x-axis. A dashed horizontal line extends to the right from the end of the wrench. From that same end point, a force vector F is drawn as an arrow pointing down and to the right into the fourth quadrant relative to the end point. The angle between the dashed horizontal line and the force vector is labeled phi. The length L is labeled along the wrench.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1777498962-S3Nmli.jpg)

- **A.** \(L F \sin(\theta + \phi)\)
- **B.** \(L F \sin(\theta - \phi)\)
- **C.** \(L F \cos(\theta + \phi)\)
- **D.** \(L F \sin\phi\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/112620/*