A small mass $m$ is attached to a massless string whose other end is fixed at $P$ as shown in the figure. The mass is undergoing circular motion is the $x-y$ plane with centre at $O$ and constant angular speed $\omega$. If the angular momentum of the system, calculated about O and P are denoted by $\overrightarrow{\mathrm{L}}_O$ and $\overrightarrow{\mathrm{L}}_P$ respectively, then