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SAT, 30.11.2021 05:00 ExclusiveNay

A cylinder with rotational inertia i1=2. 0kg⋅m2 rotates clockwise about a vertical axis through its center with angular speed ω1=5. 0rad/s. A second cylinder with rotational inertia i2=1. 0kg⋅m2 rotates counterclockwise about the same axis with angular speed ω2=8. 0rad/s. If the cylinders couple so they have the same rotational axis what is the angular speed of the combination? what percentage of the original kinetic energy is lost to friction?.

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