  We propose a platform that combines the fields of cavity optomagnonics and
levitated optomechanics in order to control and probe the coupled
spin-mechanics of magnetic dielectric particles. We theoretically study the
dynamics of a levitated Faraday-active dielectric microsphere serving as an
optomagnonic cavity, placed in an external magnetic field and driven by an
external laser. We find that the optically driven magnetization dynamics
induces angular oscillations of the particle with low associated damping.
Further, we show that the magnetization and angular motion dynamics can be
probed via the power spectrum of the outgoing light. Namely, the characteristic
frequencies attributed to the angular oscillations and the spin dynamics are
imprinted in the light spectrum by two main resonance peaks. Additionally, we
demonstrate that a ferromagnetic resonance setup with an oscillatory
perpendicular magnetic field can enhance the resonance peak corresponding to
the spin oscillations and induce fast rotations of the particle around its
anisotropy axis.

Mesoscale and Nanoscale Physics;Optics