---
title: "A traffic light hangs from a pole as shown in the accompanying diagram. The uniform aluminum pole AB is of length \\( 7.20 \\) \\( \\text{m} \\) and has a mass of \\( 12.0 \\) \\( \\text{kg} \\). The mass of the traffic light is \\( 21.5 \\) \\( \\text{kg} \\). The point C is located \\( 3.80 \\) \\( \\text{m} \\) vertically above the pivot A. A massless horizontal cable CD is attached at C and connects to the pole at point D, where the pole makes an angle of \\( 37^{\\circ} \\) with the cable."
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url: "https://nerd-notes.com/ubq/104279/"
date_modified: "2025-10-31T09:06:52+00:00"
---

# A traffic light hangs from a pole as shown in the accompanying diagram. The uniform aluminum pole AB is of length \( 7.20 \) \( \text{m} \) and has a mass of \( 12.0 \) \( \text{kg} \). The mass of the traffic light is \( 21.5 \) \( \text{kg} \). The point C is located \( 3.80 \) \( \text{m} \) vertically above the pivot A. A massless horizontal cable CD is attached at C and connects to the pole at point D, where the pole makes an angle of \( 37^{\circ} \) with the cable.

A traffic light hangs from a pole as shown in the diagram. The uniform aluminum pole AB is of length \( 7.20 \) \( \text{m} \) and has a mass of \( 12.0 \) \( \text{kg} \). The mass of the traffic light is \( 21.5 \) \( \text{kg} \). The point C is located \( 3.80 \) \( \text{m} \) vertically above the pivot A. A massless horizontal cable CD is attached at C and connects to the pole at point D, where the pole makes an angle of \( 37^{\circ} \) with the cable.

![Diagram](https://nerd-notes.com/wp-content/uploads/2025/10/traffic-light-hangs-from-a-pole-as-shown.-Rotational-motion-questions.png)

**Part a)** Determine the tension in the horizontal massless cable CD. *(3 points)*

**Part b)** Determine the vertical and horizontal components of the force exerted by the pivot A on the aluminum pole. *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/104279/*