---
title: "A small block of mass \\(m\\) rests on an adjustable incline. The coefficients of static and kinetic friction between the block and the incline are \\(\\mu_s\\) and \\(\\mu_k\\), respectively, where \\(\\mu_k < \\mu_s\\). The angle of inclination \\(\\theta\\) is slowly and continuously increased from \\(\\theta = 0^\\circ\\) (horizontal) to \\(\\theta = 90^\\circ\\) (vertical). Which of the following graphs best represents the magnitude of the friction force \\(f\\) exerted on the block by the incline as a function of \\(\\theta\\)?"
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url: "https://nerd-notes.com/ubq/120625/"
date_modified: "2026-08-23T04:42:06+00:00"
---

# A small block of mass \(m\) rests on an adjustable incline. The coefficients of static and kinetic friction between the block and the incline are \(\mu_s\) and \(\mu_k\), respectively, where \(\mu_k < \mu_s\). The angle of inclination \(\theta\) is slowly and continuously increased from \(\theta = 0^\circ\) (horizontal) to \(\theta = 90^\circ\) (vertical). Which of the following graphs best represents the magnitude of the friction force \(f\) exerted on the block by the incline as a function of \(\theta\)?

A small block of mass \(m\) rests on an adjustable incline. The coefficients of static and kinetic friction between the block and the incline are \(\mu_s\) and \(\mu_k\), respectively, where \(\mu_k < \mu_s\). The angle of inclination \(\theta\) is slowly and continuously increased from \(\theta = 0^\circ\) (horizontal) to \(\theta = 90^\circ\) (vertical). Which of the following graphs best represents the magnitude of the friction force \(f\) exerted on the block by the incline as a function of \(\theta\)?

![A right triangle representing an inclined plane resting on a flat horizontal line. The hypotenuse of the triangle rises to the right at an angle \theta to the horizontal. An arc labeled \theta is drawn at the bottom-left vertex between the base and the hypotenuse. A small rectangular block labeled m rests on the hypotenuse. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-incline-setup-1787460124-gpzL3h.jpg)

- **A.** Graph A
- **B.** Graph B
- **C.** Graph C
- **D.** Graph D

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120625/*