H$/$w Note. Use SI units

A cylindrical workpart has a diameter $=$

$2\mathrm{.}5$ in and a height $=4\mathrm{.}0in.$ It is upset

forged to a height $=2\mathrm{.}75in.$ Coefficient of

friction at the die$-$work interface $=0\mathrm{.}10.$

The work material has a flow curve with

strength coefficient $=25,000l\frac{b}{i}n2$ and

strain hardening exponent $=0\mathrm{.}22.$

Determine the plot of force vs$.$ work

height.