---
title: "A block of mass \\( m \\), acted on by a force \\( F \\) directed horizontally, slides up an inclined plane that makes an angle \\( \\theta \\) with the horizontal. The coefficient of sliding friction between the block and the plane is \\( \\mu \\)."
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url: "https://nerd-notes.com/ubq/55397/"
date_modified: "2025-03-07T09:38:32+00:00"
---

# A block of mass \( m \), acted on by a force \( F \) directed horizontally, slides up an inclined plane that makes an angle \( \theta \) with the horizontal. The coefficient of sliding friction between the block and the plane is \( \mu \).

A block of mass \( m \), acted on by a force \( F \) directed horizontally, slides up an inclined plane that makes an angle \( \theta \) with the horizontal. The coefficient of sliding friction between the block and the plane is \( \mu \).

**Part a)** Develop an expression in terms of \( m, \theta, \mu, F, \text{and} \, g \) for the block’s acceleration up the incline. *(3 points)*

**Part b)** Develop an expression for the magnitude of the force \( F \) that will allow the block to slide up the plane with a constant velocity. What relation must \( \theta \) and \( \mu \) satisfy in order for the solution to be physically meaningful? *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/55397/*