Hi TomServo!
 Quote by TomServo
This is a conceptual question.
Angular velocity is measured with respect to an axis, correct?
Yet angular momentum is measured with respect to an origin, i.e. a point, correct?
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Angular velocity and
angular momentum are
both vectors (strictly, psuedovectors)
Angular momentum is measured wrt a point
Angular velocity isn't
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For angular momentum problems where only the magnitude of angular momentum changes, it seemed like we were calculating L with respect to an axis, but that was not correct, strictly speaking, right?
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Right! In that case, we are
assuming (correctly) that the angular momentum lies along that axis, without bothering to say so!