A cylinder with moment of inertia I, rotates with angular velocity wn about a frictionless vertical axle. A second cylinder, with moment of inertia I, initially not rotating, drops onto the first cylinder. Because the surfaces are rough, the two eventually reach the same angular velocity, w. Before After (a) Calculate w. (Use any variable or symbol stated above as necessary.) W = (b) Show that energy is lost in this situation. (Do this on paper. Your instructor may ask you to turn in this work.) Calculate the ratio of the final to the initial kinetic energy. (Use any variable or symbol stated above as necessary.) KEF KE

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A cylinder with moment of inertia I, rotates with angular velocity wo about a frictionless vertical axle. A second cylinder,
with moment of inertia I, initially not rotating, drops onto the first cylinder. Because the surfaces are rough, the two
eventually reach the same angular velocity, w.
Before
After
(a) Calculate w. (Use any variable or symbol stated above as necessary.)
W =
(b) Show that energy is lost in this situation. (Do this on paper. Your instructor may ask you to turn in this work.)
Calculate the ratio of the final to the initial kinetic energy. (Use any variable or symbol stated above as necessary.)
KEE
KE
Transcribed Image Text:A cylinder with moment of inertia I, rotates with angular velocity wo about a frictionless vertical axle. A second cylinder, with moment of inertia I, initially not rotating, drops onto the first cylinder. Because the surfaces are rough, the two eventually reach the same angular velocity, w. Before After (a) Calculate w. (Use any variable or symbol stated above as necessary.) W = (b) Show that energy is lost in this situation. (Do this on paper. Your instructor may ask you to turn in this work.) Calculate the ratio of the final to the initial kinetic energy. (Use any variable or symbol stated above as necessary.) KEE KE
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