Ballistic Cylinder Angular Velocity Homework Problem

[Sumbhajee]

Homework Statement

A 10.0 g bullet is fired at 452.1 m/s into a solid cylinder of mass 24.1 kg and a radius 0.37 m. The cylinder is initially at rest and is mounted on fixed vertical axis that runs through it's center of mass.

The line of motion of the bullet is perpendicular to the axle and at a distance 7.40 cm from the center. Find the angular velocity of the system after the bullet strikes and adheres to the surface of the cylinder.

http://schubert.tmcc.edu/res/msu/physicslib/msuphysicslib/21_Rot3_AngMom_Roll/graphics/prob27_ballistic2.gif

Homework Equations

The Attempt at a Solution

I am very confused with this problem. Any assistance would be greatly appreciated.

 

[rl.bhat]

What is the momentum of of the bullet? What is the moment of momentum on the solid cylinder?
What is the relation between moment of inertia, angular velocity and momentum of momentum?