a long, uniform rod of mass 10 kg and length 3 m is supported by a hinge situated one third of the length from the left end, as shown. the other is connected to the ceiling by a vertical cord. the rod is then cut and rotates bout the hinge to a vertical position where it collides with and sticks to a lump of clay of mass 2.4 kg. what is the angular speed of the rod just before it collides with the clay