Hi Guys, I am new to this forum and interested in physics/Maths. Need your help with one of the problem I am trying to solve. The problem: Someone needs to build a 51 feet tall pole (usual shape of long lamp posts, thick at the bottom and thin at the top). but they want to make this pole such that it can be brought down and up with least effort, for which they are using a gear box with the handle, a strong wire will be attached to the bottom of the pole which will go into the gear box and on rotating the handle the wire will windup in the gearbox and allow the poles head to be brought down or stand it back up. I hope this makes sense. For this a base will be made inside which channels wills be fit and within those channels the pole will go up and down. ( Please see attached pic) Could you please let me know the physics equation that calculates the stability of the pole with inputs of: 1)Channels length inside the base or height of the base 2)channels length outside the base 3)length of the pole 4)weight of the pole 5)weight of the channels(optional) 6)distance of gearbox from the channels/pole Please let me know if you need further info about this. please check the attached image. This will be a very interesting pole equation and very helpful. Many Thanks in advance.