The article describes the training kit and laboratory techniques for quantitative studies of forced mechanical vibrations and resonance with the use of galvanometer or similar devices as torsional oscillator. The oscillator of the galvanometer fully corresponds to the classical problem of forced vibrations: variable force generated by alternating current of the generator varies harmonically and is applied directly to the inertial body and the dissipative resistance force is proportional to the velocity of the body. We show the results of the laboratory study of forced and intrinsic vibrations of the oscillator and prove that the described method of studying the vibrations has advantages over conventional methods.