Momentum transfer from linear to angular motion

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SUMMARY

The discussion focuses on calculating the linear velocity of a projectile using a momentum trap, specifically a ballistic pendulum setup. The system consists of a plate of known mass at the bottom of a pendulum with a defined radius. Upon impact, the pendulum's rotation angle is recorded, which is essential for determining the projectile's velocity. The user seeks assistance in translating the recorded angle and the known parameters into a linear velocity calculation.

PREREQUISITES
  • Understanding of ballistic pendulum mechanics
  • Knowledge of angular motion and its relation to linear motion
  • Familiarity with basic physics equations for momentum
  • Ability to perform trigonometric calculations
NEXT STEPS
  • Research the equations governing ballistic pendulum dynamics
  • Study the relationship between angular displacement and linear velocity
  • Learn about conservation of momentum principles in collisions
  • Explore trigonometric functions relevant to pendulum motion
USEFUL FOR

Physics students, engineers, and hobbyists interested in projectile motion and momentum transfer concepts.

valovato
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I am trying to create a momentum trap to calculate the velocity of a projectile when it hits the trap. It essentially consists of a plate if known mass at the bottom of a pendulum of known radius. When the projectile hits the plate, the degrees that the pendulum rotates are recorded. I believe my physics are correct, but I am struggling with the math to figure out how to translate those 3 pieces of information into linear velocity. Please help.
 
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