A music wire helical compression spring is needed to support $89-$N load after being compressed $50\mathrm{.}8$mm$.$ Because of the assembly considerations the solid height cannot exceeds to $25\mathrm{.}4$mm and the free length cannot be more than $101\mathrm{.}6$mm$.$ Determine all the parameters for the designing of spring. Tabulate all the parameters. And suggest the diameter.

Make a satisfactory prior decision, in which some are suggested as below.

Suggested music wire No from $28$ to $33.$ Music wire material A$228.$