Use a lumped-parameter model for the single-DOF mechanical micro accelerometer of Figure 8.38. Find a transfer function model of this system and convert it to a state space model. The five identical massless beams have a length l = 100 nm, their cross-section is square with a side of a = 2 nm, Young’s modulus is E = 150 , and the mass of the central plate is 200 . Use the state space model and MATLAB® to calculate and plot the mass displacement when a force N is applied to the plate. Ignore damping and inertia contributions from the beams.