---
title: "A heavy door of total width $W$ is attached to a wall by a hinge on its left side. A person pushes on the door with a constant force of magnitude $F$ at a point located a distance $D$ from the hinge. The force is applied at an angle $	heta$ with respect to the surface of the door, as shown in the top-down view below.  Which of the following is a correct expression for the magnitude of the torque exerted by the person on the door about the hinge?"
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url: "https://nerd-notes.com/ubq/109950/"
date_modified: "2026-03-26T07:05:33+00:00"
---

# A heavy door of total width $W$ is attached to a wall by a hinge on its left side. A person pushes on the door with a constant force of magnitude $F$ at a point located a distance $D$ from the hinge. The force is applied at an angle $	heta$ with respect to the surface of the door, as shown in the top-down view below.

Which of the following is a correct expression for the magnitude of the torque exerted by the person on the door about the hinge?

A heavy door of total width $W$ is attached to a wall by a hinge on its left side. A person pushes on the door with a constant force of magnitude $F$ at a point located a distance $D$ from the hinge. The force is applied at an angle $	heta$ with respect to the surface of the door, as shown in the top-down view below.

Which of the following is a correct expression for the magnitude of the torque exerted by the person on the door about the hinge?

![A top-down view of a door of width W. A hinge is represented by a small circle at the left end of the door. The door extends horizontally to the right. At a distance D from the hinge, an arrow representing force F points away from the door at an angle theta. The angle theta is labeled between the surface of the door and the force vector arrow.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1774508733-ODwkOt.jpg)

- **A.** \(DF \cos\theta\)
- **B.** \(DF \sin\theta\)
- **C.** \(WF \sin\theta\)
- **D.** \(DF \tan\theta\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/109950/*