we have to minimize or maximize F(z).can we do this question by calculus.
actual question was
imagine that you have 4 bodies each of mass 4, 13, 12, and 23 units located at (1,2) ,(4,5) , (2,7), and (0,6)
we are interested in finding the point about which the moment of inertia of the system is minimum.
(the moment of inertia is just the mass times the square of perpendicular distance to the rotation axis, I =m r^2.