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The problem involves three vectors, \( \vec{V_1}, \vec{V_2}, \vec{V_3} \), and a moment \( \vec{G} \), and we are asked to reduce the system to the origin of coordinates based on the given diagram and information.

Let's break down the given information:

1. **Vectors and their magnitudes:**
   - \( |\vec{V_1}| = 2t \)
   - \( |\vec{V_2}| = 1500 \, kp \)
   - \( |\vec{V_3}| = 2000 \, kp \)

2. **Moment:**
   - \( |\vec{G}| = 9800 \, Nm \)

### Step-by-step process to reduce the system to the origin \( O \):

1. **Diagram analysis:**
   - \( \vec{V_1} \): Positioned diagonally in the first quadrant.
   - \( \vec{V_2} \): Directed downward along the vertical axis (aligned with the negative y-axis).
   - \( \vec{V_3} \): Positioned diagonally in the third quadrant.
   - \( \vec{G} \): A moment around the point \( G \), which is directed counterclockwise.

2. **Vector addition and moment reduction:**
   To reduce the system to the origin \( O \), we need to:
   - Find the resultant of the forces \( \vec{V_1}, \vec{V_2}, \vec{V_3} \).
   - Transfer the moment \( \vec{G} \) to the origin, ensuring that we apply any distance-related forces.

3. **Key concepts:**
   - The moment about the origin can be obtained by taking the cross product of the position vector of each force with the force itself.
   - The total moment at \( O \) is the sum of the moment \( \vec{G} \) and the moments caused by the three forces \( \vec{V_1}, \vec{V_2}, \vec{V_3} \).

### To solve this, we need:
1. The exact positions of \( \vec{V_1}, \vec{V_2}, \vec{V_3} \) relative to \( O \).
2. The angle each vector makes with the coordinate axes.
3. The distances from \( G \) and how they relate to the origin.

Would you like me to proceed with specific calculations for the moments and forces, assuming some positions, or would you prefer to provide additional details regarding the vectors' positions?

Given three sliding vectors \(\vec{V_1}, \vec{V_2}, \vec{V_3}\) and a moment \(\vec{G}\) as indicated in the attached diagram, reduce this system to the origin of coordinates.

This problem explores vector analysis and moment reduction in a system of three sliding vectors and a moment, reducing forces to the origin of coordinates using the principles of moments and vector decomposition. Suitable for university-level engineering or physics students.

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