https://file.aiquickdraw.com/mathbot/file/17259707211733nmesv86.jpg

To solve this problem, let's first break it down into two parts:

### Part 1: Calculate the Moment (Torque)
The moment (or torque) \( M \) is calculated using the formula:
\[
M = F \times d
\]
Where:
- \( F \) is the force applied (in pounds or Newtons),
- \( d \) is the perpendicular distance from the point of rotation (in inches or meters).

From the image:
- The force \( F \) is \( 12 \, \text{lb} \),
- The distance \( d \) is \( 8 \, \text{in} \).

Now, applying the formula:
\[
M = 12 \, \text{lb} \times 8 \, \text{in} = 96 \, \text{lb-in}
\]

So, the moment applied is **96 lb-in**.

### Part 2: Determine the Direction (Clockwise or Counterclockwise)
In this case, the force is applied upwards on the left side of the wrench. This will cause the wrench to rotate **clockwise** around the bolt because of the direction of the applied force.

### Summary:
- The moment applied to the bolt is **96 lb-in**.
- The bolt is being turned **clockwise**.

Would you like further details or have any questions?

Here are 5 related questions for you to explore:
1. How would the moment change if the distance were doubled?
2. What happens to the direction of rotation if the force is applied in the opposite direction?
3. How do you convert lb-in torque into Newton-meters (Nm)?
4. What role does the angle of the applied force play in torque calculations?
5. How would the torque change if the applied force was increased by 50%?

**Tip:** Always ensure that the force is applied perpendicularly to the wrench or lever arm to maximize the torque produced.

In the above system, how much moment is being applied to the bolt? Is the bolt being turned clockwise or counterclockwise?

Learn how to calculate the torque applied to a bolt using a wrench with a force of 12 lb and a distance of 8 inches. Understand the key concepts of rotational motion and determine whether the force creates a clockwise or counterclockwise rotation.

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