### Explanation of Forces and Moments about Point OIn this diagram, we have a structure subjected to several forces and moments. The objective is to find the equivalent system of forces about point O.#### Diagram Details:- **Forces:** - Two 500 N forces are acting downward at angles, forming a 3-4-5 triangle. - Both forces are positioned 2 meters from their respective attachment points on the structure.- **Distances:** - The horizontal section of the structure is 2 meters long. - From the horizontal section to point O (vertically) is a total of 4 meters.- **Moment:** - A 200 N·m moment is applied to the vertical section of the structure, indicated by a blue arrow in the clockwise direction.#### Equations:- **Resultant Force (\( F_R \)):** \[ F_R = \sum F \] This equation represents the sum of all forces acting on the structure, which is necessary to determine the equivalent single resultant force.- **Resultant Moment about Point O (\( (M_R)_O \)):** \[ (M_R)_O = \sum M_0 + \sum M \] Here, \( \sum M_0 \) represents the sum of the moments due to forces about point O, and \( \sum M \) is the sum of any explicitly applied moments, such as the 200 N·m moment in the diagram.This analysis allows for simplification and understanding of the effects of the applied forces and moments on the structure around point O.

Answered: 500 N 2 m 2 m 2 m 3 500 N 200 N • m…

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