What would be the new CG location if 135 pounds of weight were added at Station 109.0, with a total weight of 2,340 lb and CG location at Station 103.0?

What would be the new CG location if 135 pounds of weight were added at Station 109.0, with a total weight of 2,340 lb and CG location at Station 103.0?

• A. Station 103.1
• B. Station 103.2
• C. Station 103.3
• D. Station 104.0

Answer: (C)

To find the new Center of Gravity (CG) location after adding weight, the formula utilized is:

New CG = (Total moment + moment from new weight) / (Total weight + new weight)

In this scenario, the original weight is 2,340 pounds at a CG location of Station 103.0, which can be translated to a moment calculation:

Original moment = weight x CG location = 2,340 lb x 103.0 = 241,020 lb-in.

Next, adding 135 pounds at Station 109.0 contributes to the overall moment as follows:

Moment from added weight = 135 lb x 109.0 = 14,715 lb-in.

Now, summing the original moment and the additional moment gives:

Total moment = 241,020 lb-in + 14,715 lb-in = 255,735 lb-in.

The new total weight becomes:

Total weight = 2,340 lb + 135 lb = 2,475 lb.

Substituting these values back into the formula for the new CG:

New CG = 255,735 lb-in / 2,475 lb ≈ 103.3.

This calculation accurately leads to a new CG location of approximately Station