- #1

mathguy2

- 16

- 0

## Homework Statement

A Cessna C-172M has empty weight 1350 lbs. When it is weighed, the load on each of the main wheels is 474 lbs. The load on the nose wheel is 402 lbs.

**Where is the center of gravity of the empty Cessna?**

Ok so the question assumes you know what a Cessna looks like, but it's like this: the nose wheel bears 402 lbs. The main wheels bear 948lbs (2 wheels so 474 x 2 = 948). 948 + 402 = 1350, so it's correct.

## Homework Equations

I believe this is the equation for translating 2 weights into 1 weight (the center of gravity being the 1 weight)

L

_{1}= (L x W

_{2}) / W

L

_{2}= (L x W

_{1}) / W

## The Attempt at a Solution

I apologize, but this is really confusing me. The reason I'm struggling is that I don't have any lengths, which I guess might mean that this is a 2 stage problem, but I can't seem to figure out how to even get started. If you look at my recent posts, you can see me working through similar problems, but this one is really throwing a curve at me.

I keep solving until L

_{1}= 948 / 1350 and

L

_{2}= 402 / 1350

but from here (even if this a correct first step), I have no clue how to go. Feedback would be really appreciated because I've been staring at this for over an hour (sadly).