I’m an engineering student (mechanical) and if one thing has continuously eluded my memory, it’s the ability to memorize the differences between all the moment of inertia/area formulas (and when to use what). You have moment of inertia, polar moment of inertia, second moment of area, and first moment of area (did I miss any?). The terrible naming convention for all the formulas doesn’t exactly help either.
Has anyone here come up with any tricks to help memorize the differences? My latest frustration stems from a fluid mechanics test where a problem asked to calculate the resultant force on a submerged gate and the formula involved a I(XX). I just had to guess it was the standby bh^3/12 (hopefully getting it right) since the book conveniently forgoes explaining anything about it to the equation-overloaded engineering student. Anyway, any help would be appreciated.