Ballistic Cylinder Angular Velocity Homework Problem

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AI Thread Summary
The discussion revolves around a physics homework problem involving a bullet impacting a solid cylinder and the subsequent calculation of angular velocity. Key points include the mass and velocity of the bullet, the mass and radius of the cylinder, and the initial conditions of the system. Participants express confusion regarding the concepts of momentum, moment of inertia, and angular momentum, seeking clarification on how these relate to the problem. The problem requires applying principles of conservation of angular momentum to find the angular velocity after the bullet adheres to the cylinder. Understanding these relationships is crucial for solving the problem effectively.
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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.
 
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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?
 

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