You are a paleontologist examining the fossil remains of the middle ear of some unknown dinosaur species, as depicted below. The fossilized bony portions suggest that this animal had a tympanic membrane of 4.5 cm diameter, and an oval window of 0.5 cm2surface area. The ossicular system seemed to be composed of two small bones (rather than 3), which I have labeled 1 and 2 below. The surface structure of these two bones suggests ligament attachment points at certain areas, which I have labeled below as points A-E. (Ligaments attach bones to bones, i.e. some of these points would be used to bind the bones together into a unit while at least one would bind the structure to the middle ear cavity at a pivot point). (a) Based on principles of the design of the human auditory system, propose the most likely arrangement, using a drawing showing the tympanic membrane and oval window. Note that the goal here is impedance matching, therefore you should propose an arrangement that will yield the greatest increase in pressure transferred into the cochlea from the oval window, while also providing a counter-balance to avoid mechanical resonance, as with the human ossicular system (Note: I just gave you a major hint for problem 4!) (b) Calculate the relative displacement do at the oval window and the displacement d: at the tympanic membrane (i.e. if the tympanic membrane moves a distance d, how much does the oval window move?). You may assume small displacements when performing this calculation. (c) What is the expression describing the relationship of the sound pressure present at the tympanic membrane and that generated at the oval window? (Note: pressure force per unit area