## Question:

The double-spring bumper is used to stop the steel billet of weight W in the rolling mill. Determine the maximum deflection of the plate A caused by the billet if it strikes the plate with a speed v. Neglect the mass of the springs, rollers and the plates A and B. Given: W = 1500 lb , ${ k }_{ 1 }$ = 3000 lb/ft , v = 8 ft/s , ${ k }_{ 2 }$ = 4500 lb/ft