(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

From the given picture, we know:

VA before collision

VB before collision

the radius to the center of mass of each car from the collision point P

e

the masses of both

the mass moment of inertia of both

We must find the velocities of the centers of mass of each car and their respective angular velocity.

2. Relevant equations

e = Vbp(y)2 - Vba(y)2 / Vap(y)1 - vbp(y)1

equations relating Vap to Va and Vbp to Va

(Hp)1 = (Hp)2

3. The attempt at a solution

I have worked out all of the relations and equations until I have a correct (Hp)1 = (Hp)2 formula. I have it in terms of omega(A) and Vay after impact.

The equation I have is correct since it works with the answers given in the problem. However, I cannot for the life of me figure out how to relate omega(A) to Vay after impact. I tried finding the instantaneous center of zero velocity, but that introduced more unknowns. Maybe there is a different relationship I missed between other variables which can be converted into terms depending on omega(A) and Vay?

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# Two Car Eccentric Impact

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