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To determine the moment of the force about point \( O \), we use the formula for the moment (or torque):

\[
M = F \times d
\]

Where:
- \( M \) is the moment (in Newton-meters, \( N \cdot m \)),
- \( F \) is the force applied (in Newtons, \( N \)),
- \( d \) is the perpendicular distance from the point \( O \) to the line of action of the force (in meters, \( m \)).

From the image:
- The force \( F = 100 \, N \) is applied to the bar.
- The total length from point \( O \) to where the force is applied is \( 5 \, m \) (i.e., \( 2 \, m + 3 \, m \)).

Since the force is applied horizontally, and the distance is perpendicular to the force, we can directly multiply:

\[
M = 100 \, N \times 5 \, m = 500 \, N \cdot m
\]

Thus, the correct moment is \( 500 \, N \cdot m \).

The correct answer seems to be missing from the options given, so the appropriate choice would be **"None of the above"**.

Would you like any additional details or have further questions?

Here are 5 related questions for further exploration:
1. What is the significance of the direction of force in determining the moment?
2. How would the moment change if the force was applied at a different angle?
3. What happens to the moment if the distance is reduced by half?
4. Can a force produce zero moment? If so, under what conditions?
5. How does the moment arm affect the rotational effect of a force?

**Tip:** The moment increases with the distance from the pivot point (in this case, point \( O \)).

Determine the moment of the force about point O.

Learn how to calculate the moment of a 100 N force acting on a bar about point O. Using the formula M = F * d, this problem involves basic physics concepts such as torque and the relationship between force and distance.

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