Problem #2: A 12-lb model C of the earth is attached to wires AC and BC and revolves at a constant speed v in the horizontal circle shown. Determine the range of the allowable values of v if both wires are to remain taut and if the tension in either of the wires is not to exceed 26 lb. 35 3 ft 20

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Problem #2:**

A 12-lb model \( C \) of the Earth is attached to wires \( AC \) and \( BC \) and revolves at a constant speed \( v \) in the horizontal circle shown. Determine the range of the allowable values of \( v \) if both wires are to remain taut and if the tension in either of the wires is not to exceed 26 lb.

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**Description of Diagram:**
The diagram illustrates a 12-lb model of the Earth labeled \( C \), which is attached to two wires, \( AC \) and \( BC \). These wires are connected to points \( A \) and \( B \) respectively. The point \( A \) is positioned above \( B \) along a vertical line, and \( B \) is on the base. 

- The distance along the vertical line from \( A \) to \( B \) is indicated as composed of two segments. The first segment, from \( A \) to a point horizontally level with \( C \), is labeled as 35 units. The second segment, from the first segment's lower endpoint to \( B \), is labeled as 20 units.
- The horizontal circle in which \( C \) revolves has a radius of 3 feet.

The wires \( AC \) and \( BC \) create angles with the vertical axis due to the revolving model \( C \). The problem involves determining the velocity range \( v \) so that the tension in the wires does not exceed 26 lb.
Transcribed Image Text:**Problem #2:** A 12-lb model \( C \) of the Earth is attached to wires \( AC \) and \( BC \) and revolves at a constant speed \( v \) in the horizontal circle shown. Determine the range of the allowable values of \( v \) if both wires are to remain taut and if the tension in either of the wires is not to exceed 26 lb. --- **Description of Diagram:** The diagram illustrates a 12-lb model of the Earth labeled \( C \), which is attached to two wires, \( AC \) and \( BC \). These wires are connected to points \( A \) and \( B \) respectively. The point \( A \) is positioned above \( B \) along a vertical line, and \( B \) is on the base. - The distance along the vertical line from \( A \) to \( B \) is indicated as composed of two segments. The first segment, from \( A \) to a point horizontally level with \( C \), is labeled as 35 units. The second segment, from the first segment's lower endpoint to \( B \), is labeled as 20 units. - The horizontal circle in which \( C \) revolves has a radius of 3 feet. The wires \( AC \) and \( BC \) create angles with the vertical axis due to the revolving model \( C \). The problem involves determining the velocity range \( v \) so that the tension in the wires does not exceed 26 lb.
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