Question: a crate is hanging from a ceiling and is being...
A crate is hanging from a ceiling and is being supported by 3 cables, each of equal diameter(d) made from 2024 Aluminum. You have two varying sizes of crate, each with different masses (m1=1000kg, m2=2000kg), and you have different size diameter of cables that could be used (varying from d=10mm to 30mm).
You are going to investigate how various combinations of weight and diameter effect the distance from the ceiling that the boxes can be supported, with the goal of designing the diameter of cable that will be able to support the crates as close to the ceiling as possible, but not violating the safety factor of 3.
Establish a relationship between distance between the box and the ceiling and the tension in the cables ( start with 0.01m <= z <= 6m)