A disc clutch with a single friction surface has coefficient of friction equal to $$0.3.$$ The maximum pressure which can be imposed on the friction material is $$1.5$$ $$MPa.$$ The outer diameter of the clutch plate is $$200$$ $$mm$$ and its internal diameter is $$100$$ $$mm.$$ Assuming uniform wear theory for the clutch plate, the maximum torque (in $$N.m$$) that can be transmitted is ___________.

The relationship between true strain $$\left( {{\varepsilon _T}} \right)$$ and engineering strain $$\left( {{\varepsilon _E}} \right)$$ in a uniaxial tension test is given as

With respect to metal working, match Group A with Group B:

A mild steel plate has to be rolled in one pass such that the final plate thickness is $$2/{3^{rd}}$$ of the initial thickness, with the entrance speed of $$10m/min$$ and roll diameter of $$500mm.$$ If the plate widens by $$2\% $$ during rolling, the exit velocity (in $$m/min$$) is ____________