Consider a simplified 2-dimensional model of a fixation system used to stabilize an intertrochanteric fracture. the resultant hip joint force is assumed to act in the frontal plane through the joint center at an angle of 15 deg with the vertical. assume that (i) the nail is of circular cross-section with a diameter of 1.0 cm, (ii) the resultant hip joint force is 3000 n, (iii) the distance from the fracture site (a-a) to the joint center is 5.0 cm, and (iv) the bone surrounding the fracture site offers no support. the nail, made from a material whose yield stress in tension is 5.52 x 108 n/m2 , can be modeled as a cantilever beam that is fixed at section a-a. (a) determine the factor of safety for the nail according to the following definition and comment on the implications of your results. factor of safety = yield stress in tension / maximum tensile stresses (b) how would bony support at the fracture site affect the factor of safety for the nail? (c) suppose that the food and drug administration requires that such fracture fixation systems offer a factor of safety of at least 2.0 in the absence of any bony support at the fracture site. what changes, if any, would you make in the current design to meet this criterion, assuming that the material the nail is manufactured from does not change. give quantitative recommendations.