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I hope you can help me.

I've read that angular momentum is not component of linear momentum. But since formula for angular momentum is:

From above formulas we can see that one of the quantities that contributes to the final value of angular momentum is also a component of linear momentum p'. Which would suggest that if we were to compute linear momentum for this object from same reference point as we did for angular momentum, then linear momentum's value would also contain a part of angular momentum and vice versa --> value for angular momentum also would contain part of linear momentum.Code (Text):

G = r x p = r * p * sin(alpha) = r * p'

p' ... component of linear momentum tangential to radius

p ... linear momentum

G ... angular momentum

Wouldn't this suggest that values for linear and angular momentum overlap?

A good analogy of this would be two sets A and B intersecting,

A={1,2,3}

B={1,4,5}

and our job would be to construct a new set which would contain all things that are either members of A or B. Correct thing to do would be to use A u B:

C = A u B = {1, 2, 3, 4, 5}

But instead we create set

C={1, 1, 2, 3, 4} //wrong

that contains two identical elements. I see same situation happening with linear and angular momentums. Their values "overlap".

thank you

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# Homework Help: Do linear and angular momentums overlap?

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