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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

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