A copper strip of $$200$$ $$mm$$ width and $$30$$ $$mm$$ thickness is to be rolled to a thickness of $$25$$ $$mm.$$ The roll of radius $$300$$ $$mm$$ rotates at $$100$$ $$rpm.$$ The average shear strength of the work material is $$180$$ $$MPa.$$ The roll strip contact length and the roll force are

A solid cylindrical stainless steel work piece of $$200mm$$ diameter and $$150mm$$ height. This component is reduced by $$50\% $$ in height with flat die in open die forging. Assuming the flow stress of the material as $$1000$$ $$MPa$$ and the coefficient of friction to be $$0.2,$$ the estimated forging force at the end of the stroke is

The surface finish of the component produced by a grinding process was measured. Based on roughness parameters obtained, which one of the following is true

A keyway of $$5$$ $$mm$$ depth is to be milled in a shaft of diameter $$60 \pm 0.1\,\,$$ by positioning the shaft in a $$V$$-block of angle $$120deg$$ and setting the tool with reference to the intersection of the face of the $$V$$-block. The error due to shaft tolerance which would be transferred on to the component is