.. Given a set of particles in the plane with position vectors F1, T2, Tn and masses m, m2, ..., mn, the position vector of the center of mass of the system is Tem Mm+m2 + +mn. = (mir+m2r2+ + mnrn), where Fy m m Consider the triangular plate in the picture. How must a total mass of 1 kg be distributed among the three vertices of the plate so that the plate can be supported at the point That = means Fem is negligible. 2 You can assume the mass of the plate itself 23' 22 H A