Consider a traffic light suspended from two wires as shown in the figure below. The left wire makes an angle 0 = 29.4° below the horizontal with the top of its pole and carries a tension of 150 N. The 11.7 m tall hollow aluminum pole is equivalent in stiffness to a 4.75 cm diameter solid cylinder. (a) How far (in m) is it bent to the side? m (b) By how much (in m) is it compressed?

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## Problem 14

Consider a traffic light suspended from two wires as shown in the figure below. The left wire makes an angle \( \theta = 29.4^\circ \) below the horizontal with the top of its pole and carries a tension of \( 150 \, \text{N} \). The \( 11.7 \, \text{m} \) tall hollow aluminum pole is equivalent in stiffness to a \( 4.75 \, \text{cm} \) diameter solid cylinder.

### Questions:
(a) How far (in m) is it bent to the side?  
\[ \text{Answer:} \, \_\_\_\_\_\_ \, \text{m} \]

(b) By how much (in m) is it compressed?  
\[ \text{Answer:} \, \_\_\_\_\_\_ \, \text{m} \]

### Diagram:
The diagram shows a traffic light hanging from two slanted wires attached to two poles. The left wire forms an angle of \( 29.4^\circ \) with the horizontal.

### Additional Materials:
- Reading

---

## Problem 15

A tightrope walker stands on a wire that is supported by a pole at each end. The tightrope walker creates a tension of \( 4.90 \times 10^3 \, \text{N} \) in a wire making an angle \( 4.2^\circ \) below the horizontal with each supporting pole. Calculate how much this tension stretches the steel wire (in cm) if it was originally \( 12 \, \text{m} \) long and \( 0.50 \, \text{cm} \) in diameter.

### Question:
How much does the wire stretch (in cm)?  
\[ \text{Answer:} \, \_\_\_\_\_\_ \, \text{cm} \]
Transcribed Image Text:## Problem 14 Consider a traffic light suspended from two wires as shown in the figure below. The left wire makes an angle \( \theta = 29.4^\circ \) below the horizontal with the top of its pole and carries a tension of \( 150 \, \text{N} \). The \( 11.7 \, \text{m} \) tall hollow aluminum pole is equivalent in stiffness to a \( 4.75 \, \text{cm} \) diameter solid cylinder. ### Questions: (a) How far (in m) is it bent to the side? \[ \text{Answer:} \, \_\_\_\_\_\_ \, \text{m} \] (b) By how much (in m) is it compressed? \[ \text{Answer:} \, \_\_\_\_\_\_ \, \text{m} \] ### Diagram: The diagram shows a traffic light hanging from two slanted wires attached to two poles. The left wire forms an angle of \( 29.4^\circ \) with the horizontal. ### Additional Materials: - Reading --- ## Problem 15 A tightrope walker stands on a wire that is supported by a pole at each end. The tightrope walker creates a tension of \( 4.90 \times 10^3 \, \text{N} \) in a wire making an angle \( 4.2^\circ \) below the horizontal with each supporting pole. Calculate how much this tension stretches the steel wire (in cm) if it was originally \( 12 \, \text{m} \) long and \( 0.50 \, \text{cm} \) in diameter. ### Question: How much does the wire stretch (in cm)? \[ \text{Answer:} \, \_\_\_\_\_\_ \, \text{cm} \]
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