Two identical masses are connected to vertical springs each with a force constant k the coordinates x1 and x2 measure the distance of each mass from its equilibrium position write newton's 2nd law for each mass. Assume that x1(t)=A1e^iwt and x2(t)=A2e^iwt. Substitute these into Newton's Second Law and then solve for the eigenvalue problem for the w's. Find the eigenvectors and describe the motion of each mass in those directions