a$)$ Now, create a zig$-$zag cantilever beam in the FEM software. The top view of the beam is shown in the right figure. The values $L,g$ and $d$ should be $100,3$ and $2^{**}W+3$ micrometers, respectively. The thickness of the beam is $1\mathrm{.}5$ micrometers and the beam material is polysilicon. The width $W$ of the beam is again found using your student ID$,$ with the methodology described in the previous question.

b$)$ Repeat part $1($b$).$

c$)$ Calculate the equivalent spring constant and compare your result with the two simplified theoretical spring constants, given in the lecture. Comment on your results. Which model is closer to FEM results? Why?

d$)$ Now, apply ten times the force you applied on part $2($b$)$ and calculate the spring constant again. Is the spring constant you calculated same with part $($c$)?$ Why$/$why not'.