- #1

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## Homework Statement

See figure attached for problem statement and figures given

## Homework Equations

## The Attempt at a Solution

See figure attached for my attempt.

I'm obtaining x^2 = negative in the end so I'm guessing I must have done something wrong, I'm just not quite sure what.

I first found the resultant force on the particle located at the origin.

I let,

[tex]\vec{F_{15}} = z \hat{i}[/tex]

I then looked at resulting x and y components of the resulting force in an attempt to solve for a z which will rotate the resultant force 30 degrees counter clockwise.

After finding z, I set this equal to the "proper" [tex]\vec{F_{15}}[/tex] and solved for the distance, x.

Does anyone see where my mistake is?