$1.$ The drawing is made from a $\frac{O}{80}mm$ steel shaft with $150$ mm$.$ length. The cutting tool is a carbide cutter. The turning machine has spindle power of $1$ kW$.$

$1$a$.$ Plan cutting procedures $($steps$)$ and define which tool $($define a to f from picture$)$ is usec in each step.

$1$b$.$ In each step please explain the cutting condition that associate to machine's power.

$1$c$.$ Estimate total processing time from your plan for producing a piece of this part.

$2.$ If we do full face milling on an aluminium block with face width $65$ mm$.$ with depth of cut $0\mathrm{.}5$ mm$.$ and cutting feed at $20$ mm$.$ per minute. The cutting tool is carbide face mill cutter with diameter $80$ mm $\mathrm{.}6$ teeth.

$2$a$.$ Show how to find the minimum power of milling machine that can cut in given cutting condition and the value of that minimum power.

$2$b$.$ If you want to reduce the cutting power for $50\%,$ explain how this can be done.