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where ∑M is the sum of moments applied to the body. If ∑M vanishes over a time interval, then the angular momentum remains constant:
(9) ⎲⎳M = 0 → H2 = H1
More specifically, if the component Mi of moment about a particular axis vanishes over the time interval, then the component of angular momentum about that axis remains constant:
(10) ⎲⎳Mi = 0 → H2i = H1i
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