A single point right handed turning tool is used for straight turning. The feed is $$0.25$$ $$mm/rev$$ and the uncut chip thickness is found to be $$0.25$$ $$mm.$$ The inclination angle of the main cutting edge is $${10^ \circ }.$$ The back rake angle (in degrees) is ________________

A $$60$$ $$mm$$ wide block of low carbon steel is face milled at a cutting speed of $$120$$ $$m/min,$$ feed of $$0.1$$ $$mm$$/tooth and axial depth of cut of $$4$$ $$mm.$$ A schematic representation of the face milling process is shown below. The diameter of the cutter is $$120$$ $$mm$$ and it has $$12$$ cutting edges. The material removal rate (in $$m{m^3}/s)$$ is __________

Consider the following statements.
$$(P)$$ Computer aided process planning $$(CAPP)$$ takes input from material requirement plan $$(MRP).$$
$$(Q)$$ Production flow analysis helps in work cell formation.
$$(R)$$ Group technology takes input from choice of machining or cutting parameters.

Among the above statements, the correct one(s) is (are)

A single axis $$CNC$$ table is driven by a $$DC$$ servo motor that is directly coupled to a lead screw of $$5$$ $$mm$$ pitch. The circular encoder attached to the lead screw generates $$1000$$ voltage pulses per revolution of the lead screw. The table moves at a constant speed of $$6$$ $$m/min.$$ The corresponding frequency (in $$kHz$$) of the voltage pulses generated by the circular encoder is __________________.