Circular arc on a part profile is being machined on a vertical $$CNC$$ milling machine. $$CNC$$ part program using metric units with absolute dimensions is listed below:

$$\eqalign{ & N60\,\,\,\,G01\,\,\,\,X\,30\,\,\,\,Y\,55\,\,\,\,Z\,5\,\,\,\,F50 \cr & N70\,\,\,\,G02\,\,\,X\,50\,\,\,\,Y\,35\,\,\,\,R\,20 \cr & N80\,\,\,\,G01\,\,\,\,Z\,5 \cr} $$

The coordinates of the center of the circular arc are:

In the engineering stress-strain curve for mild steel, the Ultimate Tensile Strength $$(UTS)$$ refers to

The Poisson's ratio for a perfectly incompressible linear elastic material is

A point mass of $$100$$ kg is dropped onto a massless elastic bar (cross-sectional area = $$100$$ $$mm$$² ,length = $$1$$ m, Young's modulus = $$100$$ GPa) from a height $$H$$ of $$10$$ $$mm$$ as shown (Figure is not to scale). If g = $$10$$ $$m/s$$² , the maximum compression of the elastic bar is _______ $$mm.$$