---
title: "An adult exerts a horizontal force on a swing that is suspended by a rope of length \\( L \\), holding it at an angle \\( \\theta \\) with the vertical. The child in the swing has a weight \\( W \\) and dimensions that are negligible. In terms of \\( W \\) and \\( \\theta \\), determine:"
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url: "https://nerd-notes.com/ubq/39494/"
date_modified: "2025-03-07T07:53:39+00:00"
---

# An adult exerts a horizontal force on a swing that is suspended by a rope of length \( L \), holding it at an angle \( \theta \) with the vertical. The child in the swing has a weight \( W \) and dimensions that are negligible. In terms of \( W \) and \( \theta \), determine:

An adult exerts a horizontal force on a swing that is suspended by a rope of length \( L \), holding it at an angle \( \theta \) with the vertical. The child in the swing has a weight \( W \) and dimensions that are negligible. In terms of \( W \) and \( \theta \), determine:

![Diagram](https://nerd-notes.com/wp-content/uploads/2024/06/Screen-Shot-2024-06-08-at-4.33.44-PM-e1741332250957.png)

**Part a)** The tension in the rope while the adult holds back the swing at rest. *(3 points)*

**Part b)** The horizontal force exerted by the adult. *(3 points)*

**Part c)** The adult releases the swing from rest. In terms of \( W \) and \( \theta \), determine the tension in the rope as the swing passes through its lowest point. *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/39494/*