The $5-lb$ cylinder is falling from A with a speed $v_A=15[f\frac{t}{s}]$ onto the platform. Determine the maximum displacement of the platform in feet caused by the collision. The spring has an unstretched length of $1\mathrm{.}75ft$ and is originally kept in compression by the $1-ft$ l$$ng cables attached to the platform. $($Initial spring displacement is $0\mathrm{.}75ft,$ further compression adds to this$).$

Neglect the mass of the platform and spring and any energy lost during the collision.