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## Homework Statement

I was reading the textbook section on angular momentum, and I'm having some difficulty grasping angular momentum.

Here is a question:

In the book, it says that the angular momentum L is equal to vector r cross vector p for a particle. But, for a rigid body, the equation is L = Iw.

In this case, why isn't the pulley treated as a rigid object. Does this mean that you can take the cross product to find the angular momentum in any case?

If someone could please clarify this. Thank you.