---
title: "A force F is used to hold a block of mass m on an incline as shown in the diagram. The plane makes an angle of theta with the horizontal and F is perpendicular to the plane. The coefficient of friction between the plane and the block is µ. What is the minimum force, F, necessary to keep the block at rest?"
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url: "https://nerd-notes.com/ubq/20707/"
date_modified: "2025-09-15T03:26:08+00:00"
---

# A force F is used to hold a block of mass m on an incline as shown in the diagram. The plane makes an angle of theta with the horizontal and F is perpendicular to the plane. The coefficient of friction between the plane and the block is µ. What is the minimum force, F, necessary to keep the block at rest?

A force \(F\) is used to hold a block of mass \(m\) on an incline as shown in the diagram above. The plane makes an angle of \(\theta\) with the horizontal and \(F\) is perpendicular to the plane. The coefficient of friction between the plane and the block is \(\mu\). What is the minimum force \(F\) necessary to keep the block at rest?

![Diagram](https://nerd-notes.com/wp-content/uploads/2023/11/Screen-Shot-2023-11-24-at-02.23.51-AM-300x214.png)

- **A.** \[ \frac{mg\sin(\theta)}{\mu} \]
- **B.** \[ mg\cos(\theta) \]
- **C.** \[\frac{mg(\sin(\theta) – \mu\cos(\theta))}{\mu} \]
- **D.** \[ mg\sin(\theta) \]
- **E.** \[0\]

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/20707/*