A spur pinion of pitch diameter $$50$$ $$mm$$ rotates at $$200$$ $$rad/s$$ and transmits $$3$$ $$kW$$ power. The pressure angle of the tooth of the pinion is $${20^ \circ }$$. Assuming that only one pair of the teeth is in contact , the total force (in Newton ) exerted by a tooth of the pinion on the tooth on a mating gear is _________

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: