Thanks for the attempt - we are almost there, BUT there are a missing step to be taken.
The hook, going up and down by its wire, is attached to a sledge or carriage, that can go along the boom (the horizontal bridge). Right now, in your setup, this is static. To complete the challenge, the carriage need to slide along the boom like 2 meters from the tower and to 2 m before the tip of the boom.
I have tried to change the transform values of the various axis in the transforms of the hook array but the hook still moves along the world axis'es - as it is not an embedded object with its local coordinate system. I suppose the only solution at this point is to calculate the X and Y position trigonometrically based on the rotation and the position of the crane.
It would be a whole lot easier if the hook setup was embedded as a subject with its own local coordinate system, or?
My theory is that if I could have one A2S standing vertically, always following the rotation of the boom, having it aligned so one side of this array, fx. left side, aligned with the axis of the tower, and the opposite side, the right column, doing all the ups and downs of the hook, AND by scaling the width of the middle column, controlling the position of the hook along the boom.