1. The problem statement, all variables and given/known data In this image : http://ezto.mheducation.com/13252703414204806874.tp4?REQUEST=SHOWmedia&media=2.83qs.jpg Why does the weight of the gate have a centroid at 2R/pi away from the force F? 2. Relevant equations The centroid for a half circle in both x and y directions is = 4r/3pi 3. The attempt at a solution why isn't the centroid location in regards to the x axis 4r/3pi? How do we get to 2R/pi?