The cutting force and thrust force in an orthogonal cutting operation are $1470$ N and $1589$ N$,$ respectively. Rake angle $=5,$ width of the cut $=5\mathrm{.}0$ mm$,$ chip thickness before the cut $=0\mathrm{.}6$ mm$,$ and chip thickness ratio $=0\mathrm{.}38.$ Determine $($a$)$ the shear strength of the work

material and $($b$)$ the coefficient of friction in the operation.