A helical compression spring, placed between two rigid plates and operative under variable load, has a spring index of 7 and wire diameter of 5mm, if the average load on the spring is 300N, compute the permissible maximum and minimum loads on the springs for a factor of safety 1.5. When the range of operative load on the spring is 10% less than the permissible maximum load to 10% more than the permissible minimum load, the spring deflection is 8mm. Determine the safe frequency of operation for the spring. For the spring material the sigma_(YP)=1690MPa, density rho=7800kg//m^(3) and G=80GPa.