1. The problem statement, all variables and given/known data The mass of the homogeneous flat plate is 50 kg. Determine the reactions at the supports A and B. I've attached the diagram. 3. The attempt at a solution I know I will need to find the center of mass. I don't remember exactly how to do it, but I found the centroid location first by using composite areas and the formula xbar=∑(x~)A/∑A and similar for y. I found the centroid location to be at (0.566,0.183) m. I have two questions. If I find the center of mass, do I then just treat the mass as a concentrated load at that point horizontally and find the reactions using the moment about A or B and the sum of the forces in the y? Can someone point me in the right direction for finding the center of mass from here? Thank you!