1.A helical-coil compression spring is to be designed for a special application in which the spring is to be initially assembled in the mechanism with a preload of 10 N, and exert a force of 50 N when it is compressed an additional 140 mm. Tentatively, it has been decided to use music wire, to use closed ends, and to use the smallest standard wire diameter that will give a satisfactory performance. Also, it is desired to provide a clash allowance of approximately 10 percent of the maximum operating deflection. a. Find a standard wire diameter and corresponding mean coil radius that will meet the desired specifications. b. Find the solid height of the spring. c. Find the free height of the spring.