Question $4$: During turning a ductile alloy by a tool of rake angle $()12,$ Cutting force is $1200$ N and

thrust force is $500$ N $,$ chip thickness ratio $(r)$ is $0\mathrm{.}45.$ Find the following by drawing Merchant Circle

Diagram $($MCD$)$ or force diagram $($marks $=20).$

a$.$ Frictional force $($F$)$

b$.$ Normal force $($N$)$

c$.$ Coefficient of friction $()$

d$.$ Friction angle $()$