A uniform slender rod AB of length L = 600 mm is placed with its center equidistant

Question:

A uniform slender rod AB of length L = 600 mm is placed with its center equidistant from two supports that are located at a distance b = 100 mm from each other. End B of the rod is raised a distance h0 = 80 mm and released; the rod then rocks on the supports as shown. Assuming that the impact at each support is perfectly plastic and that no slipping occurs between the rod and the supports, determine

(a) The height h1 reached by end A after the first impact,

(b) The height h2 reached by end B after the second impact.