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

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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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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?

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

The image depicts a basic physics problem involving a beam, a cable, and a person. It illustrates a beam that is horizontally positioned with a length of 6.0 meters. A cable is shown supporting the beam, making an angle of 30 degrees with the horizontal plane.

In the diagram:
- The beam is represented as a long rectangular block on which a person is seated.
- The cable is depicted as a straight line tilted at a 30-degree angle relative to the beam. 
- The 30-degree angle is marked clearly between the beam and the cable.
- The horizontal distance (length of the beam) is labeled as 6.0 meters.

This setup is often used in physics problems related to static equilibrium, where one might be tasked with calculating forces such as tension in the cable, gravitational force on the beam, or forces due to the person sitting on the beam.
Transcribed Image Text:The image depicts a basic physics problem involving a beam, a cable, and a person. It illustrates a beam that is horizontally positioned with a length of 6.0 meters. A cable is shown supporting the beam, making an angle of 30 degrees with the horizontal plane. In the diagram: - The beam is represented as a long rectangular block on which a person is seated. - The cable is depicted as a straight line tilted at a 30-degree angle relative to the beam. - The 30-degree angle is marked clearly between the beam and the cable. - The horizontal distance (length of the beam) is labeled as 6.0 meters. This setup is often used in physics problems related to static equilibrium, where one might be tasked with calculating forces such as tension in the cable, gravitational force on the beam, or forces due to the person sitting on the beam.
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