A cylinder with moment of inertia I1 rotates with an angular velocity wo about a vertical, frictionless axle. Asecond cylinder with moment of inertia I2 initially not rotating drops on to the first cylinder, since the surfaces are rough, the two eventually reach the same angular velocity then find: a) final agular velocity? b) show that kinetic energy is lost in this situation? c) the ratio of the final to the initial kinetic energy