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A rod of length 0.50 m and mass 4.0 kg rotates in a horizontal plane about and axis through its center.  The rod is at rest when a 3.0 g bullet traveling in the rotational plane is fired into one end of the rod.  As viewed from above the bullet's path makes an angle of 60° with the rod.  If the bullet lodges in the rod and the angular velocity of the rod is 10 rad/s immediately after the collision, determine the before collision velocity of the bullet.  Use conservation of angular momentum.  The initial momentum is the point mass momentum of the bullet (the rod is originally at rest).  Don't forget to include the bullet when you determine the after collision rotational inertia of the system.

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