Consider the system shown Figure, which lies in the $\backslash (\backslash$mathrm$\{$X$\}-\backslash$mathrm$\{$Y$\}\backslash )$ plane. This system, which is called a crab$-$leg flexure, is used in micro electromechanical sensors$.$ A load along the X direction is applied to the mass to which all of the four crab$-$leg flexures are attached. Each flexure has a shin of length $\backslash ($ L $\backslash )$ along the $\backslash ($ X $\backslash )$ direction, width $\backslash ($ b $\backslash )$ along the Y direction, and thickness h along the Z direction. The thigh of each flexure has a length Lt along the $\backslash ($ Y $\backslash )$ direction, a width bt along the X direction, and a thickness h along the