Question (1) A helical compression spring is wound with a 4mm diameter music wire with squared and ground ends. The spring has 10 total coils, an outside diameter of 34mm and a free length (height) of 80mm. Use G=79.3GPa,Sse=310MPa,A=2170,m=0.146,Syt=0.75Sut,Ssy= 0.577Syt, the number of inactive coils is 2 . Determine: a) The spring modulus (stiffness). b) The force needed to compress the spring to solid height and the resulting shear stress and if the spring is solid-safe or not. c) The fatigue factor of safety if the spring is subjected to a periodic force ranging between a minimum of 50N and a maximum of 250N