A neuro-probe is a needle-like probe used to collect signals from a brain. Suppose the neuro- probe is a flexible one with a Young's modulus of 3 GPa, and a rectangular cross-sectional area of 20 m x 3 m with a length of 2.1 mm (where, i = [i, - ig], i.e., the difference between the 7th and 8th digits of your Student ID). (25 points) a. When it punctures against the cerebral cortex, at the beginning, ignore the deformation of the cerebral cortex before the compression force reaches to a certain value. What are the stress and strain of the neuro-probe when the compression force is 100 N? b. The neuro-probe can be regarded as a slender beam, and it will buckle as the force is larger than a critical value. Per. which is given by Euler's formula: Per = L Applying this equation, find the critical buckling force. c. The upper end of the neuro-probe will be fixed on the skull, while the lower tip is implanted in the brain. The micromotion of the brain will cause the probe to bend, what is the bending force P caused by the micromotion of the brain of a 10 m? F Implanting PCT + Fixed Working