---
title: "A block of mass \\(m\\) rests on the rough inclined surface of a wedge that makes an angle \\(\\theta\\) with the horizontal, where the incline slopes downward to the right. The wedge accelerates horizontally to the right across a horizontal floor with a constant acceleration \\(a\\) such that \\(a > g\\tan\\theta\\), and the block does not slip relative to the wedge. Which of the following free-body diagrams best represents all the forces exerted on the block, as observed from an inertial frame of reference?"
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url: "https://nerd-notes.com/ubq/124135/"
date_modified: "2026-09-28T13:30:37+00:00"
---

# A block of mass \(m\) rests on the rough inclined surface of a wedge that makes an angle \(\theta\) with the horizontal, where the incline slopes downward to the right. The wedge accelerates horizontally to the right across a horizontal floor with a constant acceleration \(a\) such that \(a > g\tan\theta\), and the block does not slip relative to the wedge. Which of the following free-body diagrams best represents all the forces exerted on the block, as observed from an inertial frame of reference?

A block of mass \(m\) rests on the rough inclined surface of a wedge that makes an angle \(\theta\) with the horizontal, where the incline slopes downward to the right. The wedge accelerates horizontally to the right across a horizontal floor with a constant acceleration \(a\) such that \(a > g\tan\theta\), and the block does not slip relative to the wedge. Which of the following free-body diagrams best represents all the forces exerted on the block, as observed from an inertial frame of reference?

![A 2D line drawing showing a right-triangular wedge resting on a horizontal ground line. The wedge has a vertical face on the left, a flat horizontal base on the ground, and a straight inclined surface that slopes downward from the top-left to the bottom-right. The angle between the inclined surface and the horizontal base at the lower-right vertex is indicated by a small curved arc labeled \(\theta\). A small rectangular block labeled \(m\) rests on the middle of the inclined surface, aligned with the slope. A single horizontal arrow positioned above the wedge points directly to the right and is labeled \(a\). No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1790602236-HaNIkb.jpg)

- **A.** Diagram A
- **B.** Diagram B
- **C.** Diagram C
- **D.** Diagram D

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/124135/*