B) Cutting Forces Free Body Diagram and Relationship Derivations Draw the force interactions (free body diagram of the orthogonal cutting operation). Be neat, using a straightedge and compass or computer drawing tools. Consider and label the tool, chip, and the workpiece, and a. identify and define all forces acting in this system (9 total) along with known relations (R = R' = R", for example). Show the important angles and resulting magnitudes and directions; b. from the previous diagram, draw the composite system cutting force circle which includes Fc, Ft, Fs, and Ns (using the standard nomenclature from the Groover textbook.) Use geometry from your force diagram to prove that and Fs Fc cos - F sin o N = F, cos + F sin = F tan(+ a) c. draw another force diagram for the tool face, showing all forces relating Fc, Ft, F, and N. Prove that and F = F, cosa + F sin a N = Fc cos -F, sin a