Section 11.4 TheIsolated System: Conservation of Angular Momentum 29. A cylinder

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Section 11.4 TheIsolated System: Conservation of Angular Momentum
29. A cylinder with moment of inertia I1 rotates about a verti-cal,frictionless axle with angular speed vi. A second cylin-der, thisone having moment of inertia I2 and initially not rotating, dropsonto the first cylinder ( Fig. P11.29). Because of friction betweenthe surfaces, the two eventu-ally reach the same angular speed vf .( a) Calculate vf . ( b) Show that the kinetic energy of the systemdecreases in this interaction, and calculate the ratio of the finalto the initial rotational energy. Section 11.4 TheIsolated System: Conservation of Angular Momentum
29. A cylinder with moment of inertia I1 rotates about a verti-cal,frictionless axle with angular speed vi. A second cylin-der, thisone having moment of inertia I2 and initially not rotating, dropsonto the first cylinder ( Fig. P11.29). Because of friction betweenthe surfaces, the two eventu-ally reach the same angular speed vf .( a) Calculate vf . ( b) Show that the kinetic energy of the systemdecreases in this interaction, and calculate the ratio of the finalto the initial rotational energy.

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