A force of 2000 N is used to generate a turning force. The force acts at a perpendicular distance of 12 m from the pivot. Calculate the moment of this force.

1. Break Down the Problem

To calculate the moment (or torque) generated by a force, we need to use the formula for torque: $\tau = F \cdot d$ where:

• $\tau$ is the moment (torque),
• $F$ is the force applied,
• $d$ is the perpendicular distance from the pivot to the line of action of the force.

2. Relevant Concepts

For our problem:

• The force $F = 2000 \, \text{N}$
• The distance $d = 12 \, \text{m}$

3. Analysis and Detail

Now we will substitute our values into the torque formula: $\tau = 2000 \, \text{N} \cdot 12 \, \text{m}$

Calculating this, we find: $\tau = 24000 \, \text{N} \cdot \text{m}$

4. Verify and Summarize

The calculations confirm that the moment of the force applied is: $\tau = 24000 \, \text{N} \cdot \text{m}$ This value is indeed correct, and it measures the turning effect of the force about the pivot.

Final Answer

The moment of the force is $24000 \, \text{N} \cdot \text{m}$.