---
title: "A \\( 1 \\) \\( \\text{kg} \\) mass on a \\( 37^{\\circ} \\) incline is connected to a \\( 3.0 \\) \\( \\text{kg} \\) mass on a horizontal surface, as shown. The surfaces and the pulley are frictionless. If \\( F = 12 \\) \\( \\text{N} \\), (a) what is the acceleration of the system, and (b) what is the tension in the connecting cord?"
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url: "https://nerd-notes.com/ubq/101240/"
date_modified: "2025-09-20T12:09:31+00:00"
---

# A \( 1 \) \( \text{kg} \) mass on a \( 37^{\circ} \) incline is connected to a \( 3.0 \) \( \text{kg} \) mass on a horizontal surface, as shown. The surfaces and the pulley are frictionless. If \( F = 12 \) \( \text{N} \), (a) what is the acceleration of the system, and (b) what is the tension in the connecting cord?

A \( 1 \) \( \text{kg} \) mass on a \( 37^{\circ} \) incline is connected to a \( 3.0 \) \( \text{kg} \) mass on a horizontal surface, as shown. The surfaces and the pulley are frictionless. If \( F = 12 \) \( \text{N} \):

![Diagram](https://nerd-notes.com/wp-content/uploads/2025/09/nerd-notes-pulley-and-incline-problem-2.png)

**Part a)** Determine the acceleration of the system. *(3 points)*

**Part b)** Determine the tension in the connecting cord. *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/101240/*