A mus$$c wire helical compression spring is needed to support a $15$ lbf load after being compressed $1\mathrm{.}5$

inches. The solid height cannot exceed $1$ inch and the free length cannot be more than $4$ inches. The

fractional overrun is $\mathrm{.}2.$ The factor of safety is to be $1\mathrm{.}4.$ The ends are squared and ground and it is as

wound. Analyze a using a gauged $29$ wire. What is the solid length?

$\mathrm{.}931$ inches

$\mathrm{.}782$ inches

$\mathrm{.}875$ inches

$\mathrm{.}765$ inches