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Moment-torque-angular Momentum

Q- A uniform stick d = 1 m long with a total mass of 750 g is pivoted at its center by means of a friction-less peg. A 5.6 g bullet is shot through the stick midway between the pivot and one end. It approaches at v0 = 409 m/s and leaves at vf = 260 m/s.

  1. What is the moment of inertia of the stick about the pivot?
  2. What is the angular momentum of the bullet about the pivot before the collision?
  3. What is the angular momentum of the stick about the pivot after the collision?
  4. With what angular speed is the stick spinning after the collision?
  5. What is the net impulse, Istick exerted on the stick during the collision?

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