A strip of thickness $$T$$ $$mm$$ is rolled in a $$2$$ high single pass rolling mill, having roll diameter $$D$$ $$mm,$$ to a final thickness of $$\left( {T - 2\Delta T} \right)mm.$$ If the friction coefficient between the roll and strip is $$\mu ,$$ calculate the maximum reduction $$2\Delta T$$ possible in this operation. Using this relation, for $$D=300mm,$$ $$T=40mm$$ and friction coefficient is $$0.3,$$ calculate the outgoing thickness of the strip. If the inlet velocity is $$5m/s,$$ what is the outgoing strip velocity?.

A falk consisting of a cope and drag has the following dimensions: length $$300mm,$$ width $$200mm,$$ and total septh $$200mm$$ (cope height $$50mm$$).
A $$150mm\,\, \times \,100mm\,\, \times 50mm$$ cast iron block is to be cast. If the specific weight of cast iron is $$78\,\,kN/{m^3}$$ and that of the mold sand $$16\,\,kN/{m^3}$$, find lifting force on the cope created by buoyant force, weight of sand in the cope, the net force at the liquid-sand interface and additional weight to be kept on the cope.

When there is no room temp change, the total shrinkage allowance on a pattern is INDEPENDENT OF

In a single heater regenerative cycle, steam enters the turbine at $$30$$ bar, $${300^0}C$$ and condenser pressure is $$0.096$$ bar. The feed water heater is a direct contact type which operates at $$5$$ bar. Draw flow and $$h$$-$$s$$ diagrams considering the condition of steam at entry to the heater in mixture region. Calculate steam extracted from heater to turbine in $$kg$$ per $$kg$$ of steam flow the cycle and cycle efficiency. The enthalpies of steam at different locations of the cycle are given in a table below. Pump work may neglected.