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If we are given r, p, and θ we can calculate the angular momentum of a particle from Eq. 10-2. Sometimes, however, we are given the components (x, y, z) of and (x, y, z) of instead. (a) Show that the components of along the x, y, and z axes are then given by (b) Show that if the particle moves only in the xy plane, the resultant angular momentum vector has only a z component.
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