In machining tests it was found that for a particular material, the following relation applied:

$2\backslash$phi $+\backslash$beta $\backslash$gamma ne $=\backslash$pi $2$

Also, when the rake angle $\backslash$gamma ne was $20$ degrees, the coefficient of friction was $1\mathrm{.}2.$

a$.$ What would the chip thickness be if in a turning operation the feed

was $0\mathrm{.}15$ mm and the major cutting$-$edge angle was $60$ degrees?

b$.$ If the cutting force is limited to $3$ kN and the specific cutting energy of the work material is $2$ GJ$/$m$3$ what maximum depth of cut can

be taken?