Problem 3 (20 points)- A helical compression spring is made of 5 mm music wire A228 ( GPa, GPa, MPa). The spring index is 8 and the free length is

160 mm. The ends of the spring ends are squared and ground. A force of 100 N should deflect the spring 20 mm. (a) Determine the outer diameter of the spring. Determine the number of active coils. (c) Determine the factor of safety based on the yielding of thespring if it is compressed to its solid length.