A cylinder with moment of inertia I1rotates with angular velocity ω0 about africtionless vertical axle. A second cylinder, with moment ofinertia I2, initially not rotating, drops ontothe first cylinder (Fig. P8.55). Because the surfaces are rough,the two eventually reach the same angular velocity, ω.
a) Calculate ω. (Use I1 forI1, I2 for I2, and w0 forω0 in yourequation.)
b) Show that energy is lost in this situation (Do this on paper.Your instructor may ask you to turn in this work.), and calculatethe ratio of the final to the initial kinetic energy. (Use I1 forI1, I2 for I2, w forω, and w0for ω0 in yourequation.)