Consider the horizontally vibrating system shown below: ww m 2m x2 (a) Determine the equations of motion and write them in matrix form. (b) Now let k = m = 1 and determine the eigenvalues by hand, (c) Continue the procedure started in (b) and determine the normalized eigenvectors. (d) Draw a sketch of the mode shapes (e) Write the solution in the form shown below - Sin (wit + 0, ) [u. ]. Az + sin (W2 + )[us] Xilt) (xa(t) = W