4) A steel beam and a cable both of negligible mass are used to support a 1600 kg block. The beam is 3.50 m long and 3.00 cm in diameter. The cable is 1.0 cm in diameter. (a) Calculate the tension in the cable. (b) Determine the horizontal and vertical components of the force of the wall on the beam. (C) How much compression force is acting on the beam? (d) How much will the length of the beam be compressed? (e) How much is the cable stretched due to tension? elastic modulus for steel 200 x 10 ° N/m² 450

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 Statement

A steel beam and a cable, both of negligible mass, are used to support a 1600 kg block. The beam is 3.50 m long and 3.00 cm in diameter. The cable is 1.0 cm in diameter.

#### Questions:
1. Calculate the tension in the cable.
2. Determine the horizontal and vertical components of the force of the wall on the beam.
3. How much compression force is acting on the beam?
4. How much will the length of the beam be compressed?
5. How much is the cable stretched due to tension?

**Elastic modulus for steel**: \(200 \times 10^9 \, \text{N/m}^2\)

### Diagram Description

The diagram shows a side view of the system:

- A vertical wall supports a horizontal beam.
- The beam is connected to a cable which forms a 45° angle with the horizontal plane.
- The block is suspended vertically by the cable.

The setup illustrates how the beam and cable provide support to the block through tension and compression forces.
Transcribed Image Text:### Problem Statement A steel beam and a cable, both of negligible mass, are used to support a 1600 kg block. The beam is 3.50 m long and 3.00 cm in diameter. The cable is 1.0 cm in diameter. #### Questions: 1. Calculate the tension in the cable. 2. Determine the horizontal and vertical components of the force of the wall on the beam. 3. How much compression force is acting on the beam? 4. How much will the length of the beam be compressed? 5. How much is the cable stretched due to tension? **Elastic modulus for steel**: \(200 \times 10^9 \, \text{N/m}^2\) ### Diagram Description The diagram shows a side view of the system: - A vertical wall supports a horizontal beam. - The beam is connected to a cable which forms a 45° angle with the horizontal plane. - The block is suspended vertically by the cable. The setup illustrates how the beam and cable provide support to the block through tension and compression forces.
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