1. The solid rod slides down the wall so that the black dot at one end moves purely vertically and the black dot at the other end moves purely horizontally: 2A x 2 The cable coupling the rod to the block has constant length. The block hangs from the cable so as to remain centered as the cable sags. The sagging portion of the cable forms an isosceles triangle with constant base 2A. Find x in terms of x, z, , , and A.