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A thin uniform rod of mass 400 g and length 60.0 cm is suspended from a pivot and is free to rotate about it in any direction. A bullet strikes the rod at a distance of 46.0 cm from the pivot and gets stuck in it. The bullet was initially moving at a speed of 300 cm/s and was spinning about its forward-backward axis at 17.0 rad/s (its moment of inertia about the same axis is 0.30 g cm2 and its mass 21.0 g).

Find the angular speed of the rod after the bullet gets stuck in it.

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