In an orthogonal cutting process the tool used has rake angle of zero degree. The measured cutting force and thrust force are $$500$$ $$N$$ and $$250$$ $$N,$$ respectively. The coefficient of friction between the tool and the chip is ________________

The too life equation for $$HSS$$ tool is $$V{T^{0.14}}\,\,{f^{0.7}}\,\,{d^{0.4}} = $$ Constant. The tool life $$(T)$$ of $$30$$ $$min$$ is obtained using the following cutting conditions $$=45$$ $$m/min,$$ $$f=0.35mm,$$ $$d=2.0$$ $$mm.$$ If speed $$(V),$$ feed $$(f)$$ and depth of cut $$(D)$$ are increased individually by $$25\% ,$$ the tool life (in $$min$$) is

Match the following

The figure below represents a triangle $$PQR$$ with initial coordinates of the vertices as $$P(1,3),$$ $$Q(4,5)$$ and $$R(5,3.5).$$ The triangle is rotated in the $$X-Y$$ plane about the vertex $$P$$ by angle in clockwise direction. If sin $$\theta = 0.6$$ and cos $$\theta = 0.8$$, the new coordinates of the vertex $$Q$$ are