Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Transcribed Image Text:### Problem Statement
A 1,400-N uniform boom at \(\phi = 61.0^\circ\) to the horizontal is supported by a cable at an angle \(\theta = 29.0^\circ\) to the horizontal as shown in the figure. The boom is pivoted at the bottom, and an object of weight \(w = 1,750 \, \text{N}\) hangs from its top.
#### Task
(a) Find the tension in the support cable.
(b) Find the components of the reaction force exerted by the pivot on the boom. (Assume the positive x-direction is to the right and the positive y-direction is upward. Include the sign of the value in your answer.)
- Horizontal component: \(\_\_\_\_\) kN
- Vertical component: \(\_\_\_\_\) kN
#### Diagram Description
The diagram illustrates the following key components:
1. A boom inclined at an angle \(\phi = 61.0^\circ\) from the horizontal, supported by a pivot at its base.
2. A cable at an angle \(\theta = 29.0^\circ\) from the horizontal, providing support to the boom.
3. The object with weight \(w = 1,750 \, \text{N}\) hanging vertically from the top of the boom.
4. The pivot is marked, illustrating the rotation point of the boom.
5. The angles \(\phi\) and \(\theta\) are clearly indicated alongside the forces involved.
This setup represents a typical problem in static equilibrium, involving forces and moments to solve for unknown quantities.
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