Que $3$: A $300mm300mm25mm$ flat block of alloy steel is machined using an orthogonal planing

process. The process parameters are as follows: Rake angle $()=10$ deg; Cutting Velocity $(V)=2\frac{m}{s}$; uncut

chip thickness $(t_0)=0\mathrm{.}25mm$; deformed chip thickness $(t_c)=0\mathrm{.}83mm,$ and width per pass $=2\mathrm{.}5mm.$ Tests

have shown that $Fc=1670N$ and $Ft=1001N.$ The length of contact between the tool rake face and chip is

$0\mathrm{.}75$ mm $.$ If the shear strength of the tool material is $400$ MPa $.$ Will the tool fail? Explain.$[10]$