A 2.0 g bullet is shot with an initial velocity of 200.0 m/s into a board (I = 12.0 kg m2). The board is held still by a frictionless pivot a third away from its bottom end, as shown below. Assume that you can treat the board as a uniform rod.
1. What is the initial angular momentum of the bullet with respect to the axle?
2. What is the distance between the axis of rotation and the center of mass of the board?
3.If the board is initially uniform, what is its mass?
4. Once the bullet enters the board, what is its contribution to the moment of inertia?
5. What is the angular velocity of the board + bullet system after the collision?