1) Use MATLAB "fminsearch" to design a helical compression spring for a coil-over shock absorber in a small unmanned ground vehicle (UGV) based on the following specifications. You must attach hard copy of your code and MATLAB output. minimum weight must fit over 0.57 inch DIA shock body minimum working force Fw= 15 lbf at working length Lw=1.5 inch minimum factor of safety Nfs of 1.0 to prevent yield at shut length L. (fully compressed) note: use Kw not K, for shear stress free length Lr= 3.0 inch, total number of coils N = 14 round steel music wire or round zinc-plated steel music wire squared (closed) ends or squared-and-ground ends Current design - N = 14, L=3.0 in, OD=0.80 in, d=0.081 in, w=0.046 lbf, Nrs=1.30 2) Select a spring that most closely matches your optimal design from McMaster-Carr. Optimal design McMaster-Carr wire diameter d [in] coil OD [in] total number of coils N 14 free length Lr [in] weight [lbf] coil ID [in] spring rate k [lbf/in] force at Lw [lbf] shut length L, [in] factor of safety NFS at L. McMaster-Carr part number cost each 3) Will your optimal spring buckle at Lw? yes no Show your work! Extra credit - Explore the sensitivity of your design to number of coils and free length. 3.0