1. The problem statement, all variables and given/known data A regular pendulum is swinging back and forth. Assuming it starts from a horizontal position, find an expression for its tangential velocity. (I don't know if the question is posed right, I just asked myself it as a challenge) 2. The attempt at a solution using a freebody diagram, I know that the tangential vector is the tangential component of weight. let Θ be the angle such that the tangential component of weight is mgsinΘ. F = ma mgsinΘ = ma gsinΘ = dv/dt I know im supposed to do v = ∫gsinΘ dt but I have no clue how to do that except using rotation equations, Θ = α/2 t^2 + ωt = a/2r t^2 + v/r t = gcosΘ/2r t^2 + v/r t which leaves me with messy algebra that brings me in circles... can anyone help me set up this problem?