Q7.6 Find the components along the axes of the angular momentum of a particle, whose position vector is with components and momentum is with components, and . Show that if the particle moves only in the plane the angular momentum has only a z-component.
Linear momentum of particle is given by :
And the angular momentum is :
When particle is confined to x-y plane then z = 0 and pz = 0.
When we put the value of z and pz in the equation of linear momentum then we observe that only the z component is non-zero.