Ball collides inelastically with dangling Rod

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SUMMARY

The discussion focuses on an inelastic collision between a 1.0 kg ball moving at 10 m/s and a 3.0 kg vertical rod of length 1.2 m. While linear momentum is not conserved in this system, angular momentum is conserved, allowing for the calculation of the angular velocity and the speed of the ball post-collision. The moment of inertia of the rod about the pivot is given by I = (ml²)/3. The maximum angle reached by the rod after the collision is 90 degrees.

PREREQUISITES
  • Understanding of inelastic collisions
  • Knowledge of angular momentum conservation
  • Familiarity with moment of inertia calculations
  • Basic principles of rotational motion
NEXT STEPS
  • Calculate the angular velocity using the conservation of angular momentum
  • Determine the speed of the ball immediately after the collision
  • Explore the implications of inelastic collisions in real-world scenarios
  • Study the dynamics of pendulum motion following collisions
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of momentum conservation and rotational dynamics in collision scenarios.

Jleath13
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Homework Statement


a 1.0 kg ball is moving horizontally with a velocity, v= 10 m/s, when it makes a glancing collision with the lower end of a bar that was hanging vertically at rest before the collision. For the system consisting of the object and the bar, linear momentum is not conserved but kinetic energy is. the bar, which has length, l= 1.2m, and mass, m=3.0 kg, is pivoted about the upper end. immediately after the collision, the objects moves with new speed, v, at an angle [tex]\theta[/tex] relative to its original direction. the bar swings freely, and after the collision reaches a maximum angle of 90 degrees with respect to the vertical. the moment of inertia of the bar about the pivot is I= (ml2)/3. ignore all friction



Homework Equations


- determine the angular velocity
- determine the speed, v, of the 1 kg object immediately after the collision
- determine the magnitude of the angular momentum of the object about the pivot just before the collision
- determine angle [tex]\theta[/tex]

The Attempt at a Solution



I have no idea where to start
 
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Welcome to PF!

Hi Jleath13! Welcome to PF! :smile:
Jleath13 said:
… linear momentum is not conserved …

ah … but angular momentum is. :wink:
 

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