An open forging die used to forge a cylindrical part with the initial diameter is 45 mm and the initial height is 40 mm.

An open forging die used to forge a cylindrical part with the initial diameter is 45 mm and the initial height is 40 mm. The coefficient of friction at the die-work interface is 0.20. The height after forging is 25 mm. The yield strength of the work material is 285 MPa, and its flow curve is defined by a strength coefficient of 600 MPa and a strain-hardening exponent of 0.12. Determine the force in the operation (a) just as the yield point is reached (yield at strain = 0.002), (b) at a height of 35 mm, (c) at a height of 30 mm, and (d) at a height of 25 mm.

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