Balancing moment
I've been picking fruit in out orchard. I know it sounds grand but it's not if you see our orchard. It's some fruit trees planted on a very steep slope in front of our house. I had the idea that planting fruit trees on a steep slope would make fruit picking easier as you'd be able to reach the high fruit by standing uphill of the tree. Works fine, for the fruit on that side of the tree. On the other side I've been forced to use the ladder which is quite precarious since the upper branches are fairly thin so not much for the ladder to lean on. If I keep the angle of the ladder steep then the tree doesn't have to exert much force to hold it upright. I can't derive the equation for this without resorting to balancing moments, which is exactly what I had whilst picking fruit from the uppermost regions, but moments aren't on the syllabus so no point in introducing them here. Will have to revisit the topic when the new syllabus comes out in 2 years.