A square slender bar in the form of a quarter ring of radius R is fixed at...

A square slender bar in the form of a quarter ring of radius R is fixed at one end (Fig. P10.7). At the free end, force P and moment M_o are applied, both in the plane of the bar. Using Castigliano’s theorem, determine (a) the horizontal and the vertical displacements of the free end and (b) the rotation of the free end.