Here's a question that I've been trying to solve for a while but keep on running into dead ends, and I can't seem to find any info on the internet to help me. Anyways I was wondering what the integral of torque is? For my specific example I have a rod that is not equally balanced on a fulcrum (as shown on in the picture below) Now gravity would of course pull the rod down but my question is with what force?? I know that Tnet = Iα But my problem here is finding α, since α=a/r could I substitute that in and say that Tnet = mr2 (a/r) = mar , and then just integrate as if I were finding the moment of inertia ( a∫r dm). I know this involves the density of the rod, but the example shown in the picture isn't all that important, I'm looking for an explanation on how to find the net torque caused by gravity. Thanks!