With what angular speed is the stick spinning after the collision?

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SUMMARY

The discussion centers on calculating the angular speed of a uniform stick after a bullet passes through it. The stick, measuring 1.2 meters in length and weighing 240 grams, is pivoted at its center. A bullet with a mass of 3.1 grams is shot through the stick at an initial speed of 250 m/s and exits at 140 m/s. The principle of conservation of angular momentum is crucial for determining the angular speed post-collision.

PREREQUISITES
  • Understanding of angular momentum conservation
  • Familiarity with basic physics concepts such as mass, velocity, and pivot points
  • Knowledge of rotational dynamics
  • Ability to apply the formula for angular speed
NEXT STEPS
  • Study the conservation of angular momentum in detail
  • Learn how to calculate angular speed using the formula ω = L/I
  • Explore examples of collisions involving rigid bodies
  • Investigate the effects of mass and velocity on angular motion
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Students studying physics, particularly those focusing on mechanics and rotational dynamics, as well as educators seeking to explain concepts of angular momentum and collisions.

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Homework Statement


A uniform stick 1.2 long with a total mass of 240 is pivoted at its center. A 3.1- bullet is shot through the stick midway between the pivot and one end The bullet approaches at 250 and leaves at 140 .


Homework Equations





The Attempt at a Solution

 
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Anyone knows? Please help. Thanks
 
HINT: The angular momentum of the system is conserved.
 

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