**Problem Statement:**Find the support reactions at the fixed support O. The beam has a mass of 500 kg, and it has a uniform cross-section.**Diagram Details:**- The diagram depicts a horizontal beam supported at point O.- The beam experiences several forces and moments along its length: - A vertical upward force of 1.4 kN is applied at point A, located 1.2 meters from the left end O. - A 15 kN·m clockwise moment is applied at point B, which is 1.8 meters from point A. - A 3 kN force at a 30° angle below the horizontal is applied at the right end C of the beam. Point C is 1.8 meters from point B.- The beam extends along the x-axis, with the y-axis representing the vertical direction at point O.- The beam has a total mass of 500 kg, contributing to a uniform gravitational force distributed across its length.**Solution Approach:**To find the support reactions at point O, consider:1. Calculating the gravitational force due to the mass of the beam.2. Resolving the angled force at C into horizontal and vertical components.3. Applying equilibrium equations for forces and moments (∑Fx = 0, ∑Fy = 0, and ∑M = 0) to solve for the reactions at O.

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Answered: Find the support reactions at the fixed…

Find the support reactions at the fixed support O. The beam has a mass of 500 kg, and it has a uniform cross section. y 1.2 m A ● 1.4 kN 1.8 m 15 kN.m B ● 1.8 m 30° C 3 kN -1x

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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Question

**Problem Statement:**

Find the support reactions at the fixed support O. The beam has a mass of 500 kg, and it has a uniform cross-section.

**Diagram Details:**

- The diagram depicts a horizontal beam supported at point O.
- The beam experiences several forces and moments along its length:
- A vertical upward force of 1.4 kN is applied at point A, located 1.2 meters from the left end O.
- A 15 kN·m clockwise moment is applied at point B, which is 1.8 meters from point A.
- A 3 kN force at a 30° angle below the horizontal is applied at the right end C of the beam. Point C is 1.8 meters from point B.
- The beam extends along the x-axis, with the y-axis representing the vertical direction at point O.
- The beam has a total mass of 500 kg, contributing to a uniform gravitational force distributed across its length.

**Solution Approach:**

To find the support reactions at point O, consider:

1. Calculating the gravitational force due to the mass of the beam.
2. Resolving the angled force at C into horizontal and vertical components.
3. Applying equilibrium equations for forces and moments (∑Fx = 0, ∑Fy = 0, and ∑M = 0) to solve for the reactions at O.

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