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Statement of a problem № 272

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A smooth uniform rod AB of mass M and length l rotates freely with an angular velocity ω0 in a horizontal plane about a stationary vertical axis passing through its end A. A small sleeve of mass m starts sliding along the rod from the point A. Find the velocity v* of the sleeve relative to the rod at the moment it reaches its other end B.

Solution:
A smooth uniform rod AB of mass M and length l rotates freely with an angular ve

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