Find the position of equlibrium

[doktorwho]

Homework Statement

From the diagram below find the position of the man (##x##) if the system is in balance. Total length is ##L## and the man is distance ##x## from one end.

Homework Equations

3. The Attempt at a Solution [/B]
I know that the system must be in balance if all the torque and all the forces equate to zero. That said i tried this:
The left tension force i name ##T_1## and the right ##T_2##. And i take the right point as reference point.
##\sum M=T*L-mg\frac{L}{2}-Mg(L-x)=0##
##\sum F=T+F-(m+M)g=0##
These equation i know but still cnat express ##x## as i have too many unknowns. Could i eliminate something here?

 

[Orodruin]

Hint: Look at the force equation for the lower pulley and pick a smart reference point for your torque computation.

 

[doktorwho]

Hint: Look at the force equation for the lower pulley and pick a smart reference point for your torque computation.

That force should equal the tension on the right, right? I picked a reference point to the right so it an be lost. Can you provide another hunt so i can see what you mean?

 

[TomHart]

I think there is something wrong with your sum of forces equation.

 

[Orodruin]

That force should equal the tension on the right, right?

Which force? There are three forces acting on that pulley.