2D rope (hinge and distance) on only ONE axis

Hello,

I would like to have something being able to be moved by someone pulling on a rope. That is pretty easy, but now I would like to limit the object being moved by moving on the X axis and not rotating. On the other hand the person pulling the rope can pull it anyway it wants.

I see I can limit the rotating axis of the hinges and apart from that I am lost.

What can I do ?

PS : Fixed Axis to stop any rotation ;) But to prevent the Y axis translation I don't know

rXp