Theoretical model to describe magnetodynamics of a ferrogel, i.e., an assem
bly of ferromagnetic nanoparticles embedded in a gel, is proposed. The reor
ientations of the particles are determined by the influence of the elastic
matrix and the rotational Brownian motion. The set of essential parameters,
on which the components of the dynamic magnetic susceptibility tenser depe
nd, is discussed. In the framework of the model, absorption of the energy o
f an ac field is studied. With allowance for the interaction of elastic and
Brownian forces, the effective relaxation times and eigenfrequencies for t
he longitudinal and transverse components of the ferrogel magnetization are
evaluated.