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A uniform thin rod of length 0.56 m and mass 3.2 kg can rotate in a...

A uniform thin rod of length 0.56 m and mass 3.2 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 3.5 g bullet traveling in the rotation plane is fired into one end of the rod. As viewed from above, the bullet's path makes angle θ = 60° with the rod. If the bullet lodges in the rod and the angular velocity of the rod is 12.0 rad/s immediately after the collision, what is the bullet's speed just before impact?

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