Does the placement of weight affect tension in 3D?

[Icah]

If you have a rectangular box connected on 3 sides with strings, and you hold all the strings together at a point, with your hand; then you put a weight in the center of the box, which is open, would the tension on the strings differ than if you put the weight at a corner. Please describe it to me in detail. I assume it would not because the weight vector is always in the negative z direction, but looking at it tells me otherwise...

 

[scottdave]

If the center of mass is not in the center of the box, due to a mass placed offcenter, then there will be a torque about the center (created by gravity), so additional tension on one or two strings (upward) will create an offsetting torque.

 

[Icah]

If the center of mass is not in the center of the box, due to a mass placed offcenter, then there will be a torque about the center (created by gravity), so additional tension on one or two strings (upward) will create an offsetting torque.

Thank you