This is a theoretical problem. Suppose we have two ropes of the same material and diameter, but differing in length. We excert force on both ropes until they break. Let rope A be the longer one. What can be said about the stress in rope A compared to the stress in rope B at the moment of breaking, taking in account the deformation required to keep a constant volume?
You would expect them to be the same as the stress-strain diagram is derived for a specific material. But at the same strain of both ropes, the stress in rope A would be higher as it crosssection decreases more.
Stress-strain diagram from http://cdn.transtutors.com/
Best Answer
In an ideal scenario, the tension should be the same -as the two ropes have equal breaking strain.
In reality, the longer rope has more chance of failure simply down to random weaknesses being more likely to occur over a greater length.