The hammer A of a drop forge system weighs 1000 lb and is dr

The hammer A of a drop forge system weighs 1,000 lb and is dropped from rest from a height of 2 ft onto an anvil B weighing 8,000 lb as shown in the Figure. The anvil B is supported by a system of springs with a combined stillness of k 20,000 lb/ft. The coefficient of restitution is 0.5 between the hammer and anvil. Determine the height h to which the hammer A rebounds after impacting with the anvil B and the maximum deflection of the springs.

Solution

coeff of restitution = V(rebound)/v(impact)

V impact = sqrt(2gH)

vrebound =sqrt (2gh) where h is the rebound height

height of rebound = e ht of drop = 0.5*2 = 1 ft