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Figure shows two cylinders of raddi r1 a...

Figure shows two cylinders of raddi `r_1 and r_2` having moments of inertia `I_1 and I_2` about their respective axes. Initially the cylinders rotate about their axes with angular speed `omega_1 and omega_2` as shown in the figure. The cylinders are moved closer to touch each other keeping the axes parallel. The cylinders first slipover each other at the contact but the slipping finally ceases due to the friction between them. Find the angular speeds of the sylinders after the slipping ceases.

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