Chapter 4, Problem 4.88P

Figure P4.88 represents a drop forging process. The anvil mass is $m_1=1000$ kg, and the hammer mass is $m_2=200$ kg. The support stiffness is $k=107$ N/m, and the damping constant is $c=1$ N-s/rn. The anvil is at rest when the hammer is dropped from a height of $h=1$ m. Obtain the expression for the displacement of the anvil as a function of time after the impact. Do this for two types of collisions: (a) an inelastic collision and (b) a perfectly elastic collision.