For the system of Fig. P13.27, which is subjected to ground motion in the x-direction: (a) expand the effective earthquake forces in terms of their modal components and show this expansion...

For the system of Fig. P13.27, which is subjected to ground motion in the x-direction: (a) expand the effective earthquake forces in terms of their modal components and show this expansion graphically; (b) determine the displacements
 ,
, and
 of the mass in terms of
 (t); and (c) determine the bending moments about the x and y axes and the torque at the clamped end a in terms of
 (t).