$3\mathrm{.}17.$ A rectangular rosette strain gage $($Figure $2\mathrm{.}20$b$)$ iscemented to the free surface of a machine part made of class$30,$ gray cast iron $($Table A$.1).$ In a test of the part, the followingstrains were recorded: E$,=0\mathrm{.}00080,$ eb $=0\mathrm{.}00010,$ and ec $=0\mathrm{.}00040.$ Determine the stress components at the point on thesurface with respect to the x$-$y axis shown.