Consider a model of a bone with a cemented prosthesis, where the outside radius of the bone is ro, the radius of the medullary cavity is rm, and the radius of the prosthesis is rp. The prosthesis is exactly centered in the cavity. For the case of pure bending, determine how the ratio of the movement carried by the prosthesis to the total moment, Mp/Mtot, varies as a function of rp/rm. How will this change if the cortex is thicker (i.e. if ro/rm increases)?