Angular Impulse

Now that we have orientation, collisions require both a linear and angular response. This means we need an equation that gives us the impulse magnitude in terms of both linear and angular components.

From the previous section, Linear Impulse, we already know the linear impulse of the collision:

Angular Impulse

We need to find the angular component of this impulse. In the last section, Angular Velocity, we covered that the velocity of a point, P, at R distance away from the center of mass is given by the following equation:

Angular Impulse

We can find the total velocity ...

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