A uniform disk turns at 37 revs around a frictionless, Physics

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A uniform disk turns at 37 revs around a frictionless

A uniform disk turns at 3.7 rev/s around a frictionless spindle. Anonrotating rod, of the same mass as the disk and length equal tothe disk's diameter, is dropped onto the freely spinning disk. They then turn together around the spindle with their centers superposed. What is the angular frequency in rev/s of the combination?

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