Problem # 1 (25 points) A helical compression spring is to be made with given wire diameter, outside diameter, and number of coils. The least expensive steel spring wire is to be used and presetting will not be used. Given G=79 GPa, active coils =8 and ends are squared and ground. Find: a. Estimate the maximum static load that can be applied before the spring fails. b. What is the spring rate c. The deflection seen by the spring due to the maximum Force (from part 'a') d. Free length of the spring e. will the spring buckle?