$8.$ Determine the parameters for a spring which will develop a static force of $50$ pounds when compressed $1\mathrm{.}25$ inches and have an outside diameter of no more than $1\mathrm{.}00$ inch. The spring should have a maximum travel of $1\mathrm{.}25$ inch and be stressed to its yield limit when fully compressed. The spring is to be made from music wire with no presetting, should have spring index of between $8$ and $10$ and should have squared and ground ends.

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|\}$

$\backslash$hline Outside Diameter & $\backslash \backslash$

$\backslash$hline Wire Diameter & $\backslash \backslash$

$\backslash$hline Free Length & $\backslash \backslash$

$\backslash$hline Total Number of Coils & $\backslash \backslash$

$\backslash$hline Material & Music wire $-$ not preset $\backslash \backslash$

$\backslash$hline End Conditions & Squared and ground $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$