The figure shows an incomplete schematic of a conventional lathe to be used for cutting threads with different pitches. The speed gear box $${U_v}$$ is shown and the feed gear box $${U_s}$$ is to be placed. $$P,Q,R$$ and $$S$$ denote locations and have no other significance. Changes in $${U_v}$$ should $$NOT$$ affect the pitch of thread being cut and changes in $${U_s}$$ should NOT affect the cutting speed.

The correct connections and the correct placement of $${U_s}$$ are given below

Internal gear cutting operation can be performed by

Orthogonal turning is performed on a cylindrical work piece with shear strength of $$250Mpa.$$ The following conditions are used: cutting velocity is $$180m/min,$$ feed is $$0.2mm/rev,$$ depth of cut is $$3mm,$$ chip thickness ratio is $$0.5.$$ The orthogonal rake angle is $$7deg.$$ Apply Merchants theory for analysis,

The cutting and frictional forces respectively are

Orthogonal turning is performed on a cylindrical work piece with shear strength of $$250Mpa.$$ The following conditions are used: cutting velocity is $$180m/min,$$ feed is $$0.2mm/rev,$$ depth of cut is $$3mm,$$ chip thickness ratio is $$0.5.$$ The orthogonal rake angle is $$7deg.$$ Apply Merchants theory for analysis,

The shear plane angle (in degrees) and the shear force respectively are