Section 7.5 question 19 ### Problem StatementA traffic light weighing 30 pounds is suspended by two wires as shown in the figure below. Find the magnitude $ |T_1| $ of the tension in wire AC, and the magnitude $ |T_2| $ of the tension in wire AB. (Round your answer to the nearest whole number.)#### Given:- Weight of the traffic light, $ W = 30 $ pounds- Wires AB and AC form angles of 45 degrees and 60 degrees with the vertical, respectively.### Diagram ExplanationIn the diagram:- Points A, B, and C represent locations where the wires are attached.- A traffic light is hanging vertically downward, represented by the weight $ W $.- There are two wires: one extending from point B to point A (left side of the diagram) and one extending from point C to point A (right side of the diagram).- Wire $ T_2 $ makes an angle of 45 degrees to the left with the vertical and is attached to point B.- Wire $ T_1 $ makes an angle of 60 degrees to the right with the vertical and is attached to point C.The goal is to find the tensions in these wires:- $ |T_1| $ (tension in wire AC)- $ |T_2| $ (tension in wire AB)### Variables to Determine:- $ |T_1| = $ _____ lb- $ |T_2| = $ _____ lb

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A traffic light weighing 30 pounds is suspended by two wires as shown in the figure below. Find the magnitude |T₁| of the tension in wire AC, and the magnitude /T₂l of the tension in wire AB. (Round your answers to the nearest whole number.) lb lb |T₁|= |T₂| = B T₂ 450! i 60⁰ 000% W T₁

A traffic light weighing 30 pounds is suspended by two wires as shown in the figure below. Find the magnitude |T₁| of the tension in wire AC, and the magnitude /T₂l of the tension in wire AB. (Round your answers to the nearest whole number.) lb lb |T₁|= |T₂| = B T₂ 450! i 60⁰ 000% W T₁

College Physics

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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Section 7.5 question 19

### Problem Statement
A traffic light weighing 30 pounds is suspended by two wires as shown in the figure below. Find the magnitude $ |T_1| $ of the tension in wire AC, and the magnitude $ |T_2| $ of the tension in wire AB. (Round your answer to the nearest whole number.)

#### Given:
- Weight of the traffic light, $ W = 30 $ pounds
- Wires AB and AC form angles of 45 degrees and 60 degrees with the vertical, respectively.

### Diagram Explanation
In the diagram:

- Points A, B, and C represent locations where the wires are attached.
- A traffic light is hanging vertically downward, represented by the weight $ W $.
- There are two wires: one extending from point B to point A (left side of the diagram) and one extending from point C to point A (right side of the diagram).
- Wire $ T_2 $ makes an angle of 45 degrees to the left with the vertical and is attached to point B.
- Wire $ T_1 $ makes an angle of 60 degrees to the right with the vertical and is attached to point C.

The goal is to find the tensions in these wires:

- $ |T_1| $ (tension in wire AC)
- $ |T_2| $ (tension in wire AB)

### Variables to Determine:
- $ |T_1| = $ _____ lb
- $ |T_2| = $ _____ lb

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