If you refer to the drawings depicting the middle ear system

If you refer to the drawings depicting the middle ear system from the text and lecture, you will notice that the point around which the ossicular system rocks or vibrates with incoming sound is not located at the end of the incus/malleus structure, but rather somewhat lower, at the projection of the incus. Effectively then, the large mass associated with the \"head\" of the malleus moves in the opposite direction of the handle at any given moment. Why do you think it is designed this way? Why not simply make the head of the malleus the pivot point? Try to make some qualitative or semi-quantitative arguments as to why the actual design might be better than my alternative.

Solution

Sound strikes to tympanic membrane in which malleus attached to it by manubrium. Manubruim oscillates and then vibrations transfers to incus.

Vibrations made in form of frequencies which can calculate by following formula

F = / 2 in which

is angular velocity which is= s/rt , where s is length of arch, r is radius of circle and t is time

Therefore, we can see that is inversely proportional to radius. Radius in malleus, is from the point of attachment to tympanic membrane to the center of axis of oscillation.

Now frequency is also inversely proportional to radius. The head of malleus attaches to incus and muscular net of ear, which make malleus immovable and only able to vibrate. Mass of malleus is negligible and can treat as simple pendulum. In compare to a malleus if a machine has less or more length of manubrium, then the vibrations are also higher and lower than original malleus.