Ball collides inelastically with dangling Rod

  • Thread starter Thread starter Jleath13
  • Start date Start date
  • Tags Tags
    Ball Rod
Jleath13
Messages
1
Reaction score
0

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 \theta 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 \theta

The Attempt at a Solution



I have no idea where to start
 
Physics news on Phys.org
Welcome to PF!

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

ah … but angular momentum is. :wink:
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
Back
Top