Consider a cylindrical rod stock fabricated from a material with a stress strain relationship as follows: σ =5000 + 2000 ε < (where o is in psi) and can be note: since this constitutive law was obtained from uniaxial tension tests, σ and εreplaced by effective stress and effective strain. a. if the original diameter of the rod is 0.2 in, what is the minimum possible diameter that can be drawn in the first pass? assume that there is no redundant work and that the frictional work is 25% of the ideal work of deformation. b. what is the drawing force required to complete this operation? c. if the drawing equipment limit is 2000 lbs, is the equipment capable to perform this operation? if not, given the force available (2000 lbs), what is the corresponding exit diameter at the first pass?