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## Homework Statement

To make it easier on the people who will try to help me, I've scanned the problem:

We are interested in finding the following variables:

Angles a and c

The tension between A and B (T

_{AB})

## Homework Equations

The pulley is a "perfect pulley" no friction

The system is at equilibrium

We consider on side A that the string is attached to the wall, or a hook, it's fixed.

All three cords are attached to a ring situated at position B

There is nothing between A and C, but we know there is 3 meters of distance between the two

## The Attempt at a Solution

Alright so I decided to make a Free Body Diagram taking the ring as the subject. It goes like that:

Considering the pulley, I guess we can assume that T

_{BC}is going to to be the same as F

_{A}.

After that I decided to decompose each of the three forces, and since everything is at equilibrium, I've come with two equations (again in picture, gonna be easier):

At that point I am stuck because I don't see any more equations involving those three unknown variables(a,c, T

_{AB}) I can do. So I have 3 unknown variables but only two equations.

Could someone please help me out?