5. An 80-kg construction worker sits down 2.0 m from the end of a 1450-kg steel beam to eat his lunch. Draw a free-body diagram and use it to calculate the tension, T, in the cable supporting the beam. If the cable is rated at 15,000N, should the construction worker be worried? on the beam so that the tension is exactly 15,000N? Bonus: Where should the construction worker sit Cable 30 60 m

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**Physics Problem: Calculating Tension in a Cable**

**Problem Statement:**

An 80-kg construction worker sits down 2.0 m from the end of a 1450-kg steel beam to eat his lunch. Draw a free-body diagram and use it to calculate the tension, \( T \), in the cable supporting the beam. If the cable is rated at 15,000 N, should the construction worker be worried?

**Bonus:** Where should the construction worker sit on the beam so that the tension is exactly 15,000 N?

**Diagram Explanation:**

The diagram on the right illustrates the scenario described in the problem. A steel beam, represented by a horizontal line, is supported by a cable at an angle of 30°. The beam is 6.0 m long. The construction worker is sitting on the beam, 2.0 m from the end, as indicated by a figure.

**Key Components:**

- **Beam:** The horizontal structural element weighing 1450 kg.
- **Worker:** Applied weight due to an 80-kg mass.
- **Cable:** Supports the beam, positioned at a \(30^\circ\) angle to the horizontal.
- **Beam Length:** 6.0 m total.
- **Distance:** The worker is sitting 2.0 m from the beam's end.

The task involves performing calculations based on these parameters to ascertain the tension \( T \) in the supporting cable and evaluate the safety of the setup based on the cable's strength rating.
Transcribed Image Text:**Physics Problem: Calculating Tension in a Cable** **Problem Statement:** An 80-kg construction worker sits down 2.0 m from the end of a 1450-kg steel beam to eat his lunch. Draw a free-body diagram and use it to calculate the tension, \( T \), in the cable supporting the beam. If the cable is rated at 15,000 N, should the construction worker be worried? **Bonus:** Where should the construction worker sit on the beam so that the tension is exactly 15,000 N? **Diagram Explanation:** The diagram on the right illustrates the scenario described in the problem. A steel beam, represented by a horizontal line, is supported by a cable at an angle of 30°. The beam is 6.0 m long. The construction worker is sitting on the beam, 2.0 m from the end, as indicated by a figure. **Key Components:** - **Beam:** The horizontal structural element weighing 1450 kg. - **Worker:** Applied weight due to an 80-kg mass. - **Cable:** Supports the beam, positioned at a \(30^\circ\) angle to the horizontal. - **Beam Length:** 6.0 m total. - **Distance:** The worker is sitting 2.0 m from the beam's end. The task involves performing calculations based on these parameters to ascertain the tension \( T \) in the supporting cable and evaluate the safety of the setup based on the cable's strength rating.
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