4. A 1.3-lb sphere A is dropped from a height of 1.8 ft onto 2.6-lb plate B, which is supported by a nested set of springs and is initially at rest. Knowing that the set of springs is equivalent to a single spring of constant k = 5 lb/in., determine the value of the coefficient of restitution between the sphere and the plate for which the height h reached by the sphere after rebound is maximum, the corresponding value of h, and the corresponding value of the maximum deflection of the plate