40° C
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
Can you please solve number two

Transcribed Image Text:The image shows a mechanical problem involving a boom, cables, and a load. The boom OA carries a load \( P \) and is supported by two cables. The system is defined as follows:
1. The tension in cable AB is 183 lb.
2. The resultant of the load \( P \) and the forces exerted at point A by the two cables must be directed along OA.
The problem consists of two parts:
a) Determine the tension in cable AC.
b) Determine the magnitude of the load \( P \).
**Diagrams Explanation:**
There are two diagrams provided:
1. Top View:
- The boom is shown extending along the x-axis.
- Cable AB is attached to the boom at an angle of 40° to the horizontal plane.
- Cable AC is similarly attached but is situated in the z-direction, making angles with the x-axis and z-axis.
2. Side View:
- This diagram provides the lengths and angles of the cables.
- Cable AB connects to point B, located 24 in. along the z-axis and 29 in. along the x-axis from point A.
- Cable AC connects to point C, situated 36 in. along the y-axis and 25 in. along the z-axis from point A.
- Point A is connected to the load \( P \), positioned vertically downward, 48 in. beneath the z-plane.
The objective is to calculate the unknown tensions and the load magnitude by resolving the forces within the system.
Expert Solution

Step 1: Write the coordinates and postion vector-
The diagram of force vectors is given as,
The co-ordinate at point A,
The co-ordinate at point B,
The co-ordinate at point C,
The vector AB,
The unit vector in the direction of AB,
The force in the direction of AB is expressed as follows-
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