Question
Find the components along the x, y, z axes of the angular momentum l of a particle, whose position vector is rwith components x, y, z and momentum is p with components px, py and pz. Show that if the particle moves only in the x-y plane the angular momentum has only a z-component.
Solution
When the particle is confined to move in the x-y plane, the direction of angular momentum is along z direction.
Hence, the result.
