Solving for Angular and Linear Velocities in a Two Car Collision

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The discussion revolves around solving for the angular and linear velocities of two cars involved in a collision, utilizing principles of conservation of momentum and the coefficient of restitution. Participants explore relationships between pre- and post-collision velocities, particularly focusing on how to express angular velocity in terms of linear velocity after impact. There is a significant emphasis on using the instantaneous center of rotation and the cross product to derive equations, although confusion arises regarding the correct setup for angular impulse equations. The conversation highlights the complexity of the problem, with participants seeking clarification on the application of conservation laws and the appropriate treatment of energy loss during the collision. Overall, the thread illustrates the challenges of applying theoretical concepts to practical collision scenarios.
  • #31
I think you have to treat each body separately. you have a net loss of energy since your coefficient of restitution is less than 1. You should break up the collision into 3 parts. Find the energy before, the change during, and the energy after the collision.

Check this out, it should be of some assistance. http://www.myphysicslab.com/collision.html

Scroll all the way down near the bottom of the page.
 
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  • #32
I understand that there is energy loss. However, momentum is conserved I thought... which is why conservation of momentum is applied. If that's the case then I don't understand why you can't apply conservation of angular momentum to point P and treat the cars as an entire system.
 

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