Having a bit of trouble with this question, if anyone could help? For the following questions we assume the Hamiltonian to be of the generic form H(r, p) = T(p) + V (r) = p2/2m+ V(r) where T(p) and V (r) denote kinetic and potential energies, respectively. Find Hamilton's equations of motion for a general quadratic potential V (r) = [(r,Ar)]/2 A = AT , a symmetric 3-by-3 matrix. Which force do you obtain? Is this force conservative? Thanks!