Question

show that angular momentum J of the particle can be expressed in the form of J=Jcm+Rxp​

Answer 1

Explanation:

Angular Momentum of a Particle

The angular momentum →ll→ of a particle is defined as the cross-product of →rr→ and →pp→, and is perpendicular to the plane containing →rr→ and →p:p→:

→l=→r×→p.l→=r→×p→.



Figure 11.9 In three-dimensional space, the position vector →rr→ locates a particle in the xy-plane with linear momentum →pp→. The angular momentum with respect to the origin is →l=→r×→pl→=r→×p→, which is in the z-direction. The direction of →ll→ is given by the right-hand rule, as shown.