The simply supported W10 \(\times 15\) structural A-36 steel beam is in the horizontal plane and acts as a shock absorber for the 500-lb block which is traveling toward it at \(5 \mathrm{ft} / \mathrm{s}\). Determine the maximum deflection of the beam and the maximum stress in the beam during the impact. The spring has a stiffness of \(k=1000 \mathrm{lb} / \mathrm{in}\).

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v = 5 ft/s www k 12 ft 12 ft