Starting with a spring index of C = 10, design a compressioncoil spring of 302 stainless wire with squared ends. The spring isto deflect y = 50 mm, for an applied force of F = 90 N and to closesolid when ys = 60 mm. At closure, use a design factor of 1.2guarding against yielding. Select the smallest diameter wire wherewire diameters are available in 0.2-mm increments between 0.2 to3.2 mm. For the design, specify the wire diameter, the inside andoutside diameters of the coil, the spring rate, the total number ofcoils, the free length of the spring, the final factor of safety,and stability conditions.