---
title: "Assume the posts in the two figures are the same and they have a mass of \\( 24 \\) \\( \\text{kg} \\) and a length \\( L \\). Both posts are held vertical by cables attached to the ground and making an angle of \\( 36.9^\\circ \\) with the ground and with the pole, respectively. Both posts are pulled by horizontal forces \\( F \\). The post on the left is hinged at its lower end and the cable is attached at \\( 3/5 \\) of the post height from the ground. The post on the right rests on a horizontal surface with a static coefficient of friction \\( 0.3 \\) and the force is applied at \\( 3/5 \\) of the height from the ground."
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url: "https://nerd-notes.com/ubq/81016/"
date_modified: "2026-08-18T02:40:14+00:00"
---

# Assume the posts in the two figures are the same and they have a mass of \( 24 \) \( \text{kg} \) and a length \( L \). Both posts are held vertical by cables attached to the ground and making an angle of \( 36.9^\circ \) with the ground and with the pole, respectively. Both posts are pulled by horizontal forces \( F \). The post on the left is hinged at its lower end and the cable is attached at \( 3/5 \) of the post height from the ground. The post on the right rests on a horizontal surface with a static coefficient of friction \( 0.3 \) and the force is applied at \( 3/5 \) of the height from the ground.

Assume the posts in the two figures are the same and they have a mass of \( 24 \) \( \text{kg} \) and a length \( L \). Both posts are held vertical by cables attached to the ground and making an angle of \( 36.9^\circ \) with the ground and with the pole, respectively. Both posts are pulled by horizontal forces \( F \). The post on the left is hinged at its lower end and the cable is attached at \( 3/5 \) of the post height from the ground. The post on the right rests on a horizontal surface with a static coefficient of friction \( 0.3 \) and the force is applied at \( 3/5 \) of the height from the ground.

Note: \( \sin 36.9 = 0.6 = 3/5 \); \( \cos 36.9 = 0.8 \).

![Diagram](https://nerd-notes.com/wp-content/uploads/2025/03/beamtorquetwoattwodifferentangles-1024x396.png)

**Part a)** Draw the FBD for each post. *(3 points)*

**Part b)** Find the tension in the cable for the post on the left if the applied force is \( 240 \) \( \text{N} \). *(3 points)*

**Part c)** Find the maximum force applied to the post on the right for the post not to start slipping. *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/81016/*