Coefficient of restitution in rotation motion

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SUMMARY

The discussion focuses on the application of the coefficient of restitution (COR) in rotational motion, specifically in a collision scenario involving a ball and a rod. The COR is given as 0.5, indicating an inelastic collision where kinetic energy is not conserved. The relevant equation for COR is presented as \(\frac{v_{2f}-v_{1f}}{v_{1}-v_{2}}\), which is crucial for determining the final velocities of the colliding objects. Understanding how to apply this equation is essential for solving the problem effectively.

PREREQUISITES
  • Understanding of the coefficient of restitution (COR)
  • Basic principles of rotational motion
  • Knowledge of conservation of momentum
  • Familiarity with collision dynamics
NEXT STEPS
  • Study the implications of different values of the coefficient of restitution in collisions
  • Learn about conservation of momentum in inelastic collisions
  • Explore the relationship between linear and angular momentum
  • Investigate real-world applications of COR in sports physics
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding collision dynamics and the principles of rotational motion.

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Homework Statement


Suppose A ball of mass m moving with a speed v collides with a rod of mass M and length L placed horizontally on a smooth floor. The coefficient of restitution is 0.5.



Homework Equations





The Attempt at a Solution



In this case how do we utilise the information of COR.

If it were given COR is 1 then we could conserve kinetic energy. But in this case how do we how about it?
 
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