A cold heading operation is performed to produce the head on a steel nail. The strength coefficient for this steel is 600 MPa, and the strain hardening exponent is .22. Coefficient of friction at the die-work interface is .14. The wire stock out of which the nail is made is 5.00 mm in diameter. The head is to have a diameter of 9.5 mm and a thickness of 1.6 mm. The final length of the nail is 120 mm.
a)Calculate the lenght of stock that is projecting out of the die
b)Compute the required force