A person with mass 55.0 kg stands d = 2.40 m away from the wall on a x = 6.10 m beam, as shown in Figure 8.12d. The mass of the beam is 40.0 kg. Find the hinge force components and the tension in the wire.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**Exercise 8.7**

**Hints:** Getting Started | I’m Stuck

---

**Figure 8.12 Explanation:**

The diagram illustrates a physical situation involving a person standing on a horizontal beam. Here's a breakdown of the elements:

- **Person's Mass:** 55.0 kg
- **Beam Length (x):** 6.10 m
- **Distance from the Wall (d):** 2.40 m
- **Beam Mass:** 40.0 kg

The beam is supported by two walls and held at an angle (30°) with a wire, which creates a tension force.

**Tasks:**

- Compute the hinge force components and the tension in the wire based on the provided scenario.

**Inputs Required:**

- **T (Tension in the wire) =** [Enter value] N
- **Rᵪ (Horizontal hinge force component) =** [Enter value] N
- **Rᵧ (Vertical hinge force component) =** [Enter value] N

This problem requires applying principles of mechanics to calculate the forces in equilibrium.
Transcribed Image Text:**Exercise 8.7** **Hints:** Getting Started | I’m Stuck --- **Figure 8.12 Explanation:** The diagram illustrates a physical situation involving a person standing on a horizontal beam. Here's a breakdown of the elements: - **Person's Mass:** 55.0 kg - **Beam Length (x):** 6.10 m - **Distance from the Wall (d):** 2.40 m - **Beam Mass:** 40.0 kg The beam is supported by two walls and held at an angle (30°) with a wire, which creates a tension force. **Tasks:** - Compute the hinge force components and the tension in the wire based on the provided scenario. **Inputs Required:** - **T (Tension in the wire) =** [Enter value] N - **Rᵪ (Horizontal hinge force component) =** [Enter value] N - **Rᵧ (Vertical hinge force component) =** [Enter value] N This problem requires applying principles of mechanics to calculate the forces in equilibrium.
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